---
_id: '6628'
abstract:
- lang: eng
text: Fejes Tóth [5] and Schneider [9] studied approximations of smooth convex hypersurfaces
in Euclidean space by piecewise flat triangular meshes with a given number
of vertices on the hypersurface that are optimal with respect to Hausdorff distance. They proved that this
Hausdorff distance decreases inversely proportional with m 2/(d−1), where m is the number of vertices and
d is the dimension of Euclidean space. Moreover the pro-portionality constant
can be expressed in terms of the Gaussian curvature, an intrinsic quantity. In
this short note, we prove the extrinsic nature of this constant for manifolds
of sufficiently high codimension. We do so by constructing an family of isometric
embeddings of the flat torus in Euclidean space.
author:
- first_name: Gert
full_name: Vegter, Gert
last_name: Vegter
- first_name: Mathijs
full_name: Wintraecken, Mathijs
id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
last_name: Wintraecken
orcid: 0000-0002-7472-2220
citation:
ama: 'Vegter G, Wintraecken M. The extrinsic nature of the Hausdorff distance of
optimal triangulations of manifolds. In: The 31st Canadian Conference in Computational
Geometry. ; 2019:275-279.'
apa: Vegter, G., & Wintraecken, M. (2019). The extrinsic nature of the Hausdorff
distance of optimal triangulations of manifolds. In The 31st Canadian Conference
in Computational Geometry (pp. 275–279). Edmonton, Canada.
chicago: Vegter, Gert, and Mathijs Wintraecken. “The Extrinsic Nature of the Hausdorff
Distance of Optimal Triangulations of Manifolds.” In The 31st Canadian Conference
in Computational Geometry, 275–79, 2019.
ieee: G. Vegter and M. Wintraecken, “The extrinsic nature of the Hausdorff distance
of optimal triangulations of manifolds,” in The 31st Canadian Conference in
Computational Geometry, Edmonton, Canada, 2019, pp. 275–279.
ista: 'Vegter G, Wintraecken M. 2019. The extrinsic nature of the Hausdorff distance
of optimal triangulations of manifolds. The 31st Canadian Conference in Computational
Geometry. CCCG: Canadian Conference in Computational Geometry, 275–279.'
mla: Vegter, Gert, and Mathijs Wintraecken. “The Extrinsic Nature of the Hausdorff
Distance of Optimal Triangulations of Manifolds.” The 31st Canadian Conference
in Computational Geometry, 2019, pp. 275–79.
short: G. Vegter, M. Wintraecken, in:, The 31st Canadian Conference in Computational
Geometry, 2019, pp. 275–279.
conference:
end_date: 2019-08-10
location: Edmonton, Canada
name: 'CCCG: Canadian Conference in Computational Geometry'
start_date: 2019-08-08
date_created: 2019-07-12T08:34:57Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:08:16Z
day: '01'
ddc:
- '004'
department:
- _id: HeEd
ec_funded: 1
file:
- access_level: open_access
checksum: ceabd152cfa55170d57763f9c6c60a53
content_type: application/pdf
creator: mwintrae
date_created: 2019-07-12T08:32:46Z
date_updated: 2020-07-14T12:47:34Z
file_id: '6629'
file_name: IntrinsicExtrinsicCCCG2019.pdf
file_size: 321176
relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 275-279
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: The 31st Canadian Conference in Computational Geometry
publication_status: published
quality_controlled: '1'
scopus_import: 1
status: public
title: The extrinsic nature of the Hausdorff distance of optimal triangulations of
manifolds
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '6648'
abstract:
- lang: eng
text: "Various kinds of data are routinely represented as discrete probability distributions.
Examples include text documents summarized by histograms of word occurrences and
images represented as histograms of oriented gradients. Viewing a discrete probability
distribution as a point in the standard simplex of the appropriate dimension,
we can understand collections of such objects in geometric and topological terms.
Importantly, instead of using the standard Euclidean distance, we look into dissimilarity
measures with information-theoretic justification, and we develop the theory\r\nneeded
for applying topological data analysis in this setting. In doing so, we emphasize
constructions that enable the usage of existing computational topology software
in this context."
alternative_title:
- LIPIcs
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Ziga
full_name: Virk, Ziga
last_name: Virk
- first_name: Hubert
full_name: Wagner, Hubert
id: 379CA8B8-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
citation:
ama: 'Edelsbrunner H, Virk Z, Wagner H. Topological data analysis in information
space. In: 35th International Symposium on Computational Geometry. Vol
129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:31:1-31:14. doi:10.4230/LIPICS.SOCG.2019.31'
apa: 'Edelsbrunner, H., Virk, Z., & Wagner, H. (2019). Topological data analysis
in information space. In 35th International Symposium on Computational Geometry
(Vol. 129, p. 31:1-31:14). Portland, OR, United States: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPICS.SOCG.2019.31'
chicago: Edelsbrunner, Herbert, Ziga Virk, and Hubert Wagner. “Topological Data
Analysis in Information Space.” In 35th International Symposium on Computational
Geometry, 129:31:1-31:14. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019. https://doi.org/10.4230/LIPICS.SOCG.2019.31.
ieee: H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information
space,” in 35th International Symposium on Computational Geometry, Portland,
OR, United States, 2019, vol. 129, p. 31:1-31:14.
ista: 'Edelsbrunner H, Virk Z, Wagner H. 2019. Topological data analysis in information
space. 35th International Symposium on Computational Geometry. SoCG 2019: Symposium
on Computational Geometry, LIPIcs, vol. 129, 31:1-31:14.'
mla: Edelsbrunner, Herbert, et al. “Topological Data Analysis in Information Space.”
35th International Symposium on Computational Geometry, vol. 129, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 31:1-31:14, doi:10.4230/LIPICS.SOCG.2019.31.
short: H. Edelsbrunner, Z. Virk, H. Wagner, in:, 35th International Symposium on
Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019,
p. 31:1-31:14.
conference:
end_date: 2019-06-21
location: Portland, OR, United States
name: 'SoCG 2019: Symposium on Computational Geometry'
start_date: 2019-06-18
date_created: 2019-07-17T10:36:09Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2021-01-12T08:08:23Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.4230/LIPICS.SOCG.2019.31
external_id:
arxiv:
- '1903.08510'
file:
- access_level: open_access
checksum: 8ec8720730d4c789bf7b06540f1c29f4
content_type: application/pdf
creator: dernst
date_created: 2019-07-24T06:40:01Z
date_updated: 2020-07-14T12:47:35Z
file_id: '6666'
file_name: 2019_LIPICS_Edelsbrunner.pdf
file_size: 1355179
relation: main_file
file_date_updated: 2020-07-14T12:47:35Z
has_accepted_license: '1'
intvolume: ' 129'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 31:1-31:14
project:
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication: 35th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771047'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Topological data analysis in information space
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 129
year: '2019'
...
---
_id: '6659'
abstract:
- lang: eng
text: Chemical labeling of proteins with synthetic molecular probes offers the possibility
to probe the functions of proteins of interest in living cells. However, the methods
for covalently labeling targeted proteins using complementary peptide tag-probe
pairs are still limited, irrespective of the versatility of such pairs in biological
research. Herein, we report the new CysHis tag-Ni(II) probe pair for the specific
covalent labeling of proteins. A broad-range evaluation of the reactivity profiles
of the probe and the CysHis peptide tag afforded a tag-probe pair with an optimized
and high labeling selectivity and reactivity. In particular, the labeling specificity
of this pair was notably improved compared to the previously reported one. This
pair was successfully utilized for the fluorescence imaging of membrane proteins
on the surfaces of living cells, demonstrating its potential utility in biological
research.
acknowledgement: his work was supported by the Grant-in-Aid for Scientific Research
B (JSPS KAKENHI grant no. JP17H03090 to A. O.); the Scientific Research on Innovative
Areas “Chemistry for Multimolecular Crowding Biosystems” (JSPS KAKENHI grant no.
JP17H06349 to A. O.); and the European Union (European Research Council Advanced
grant no. 694539 and Human Brain Project Ref. 720270 to R. S.). A. O. acknowledges
the financial support of the Takeda Science Foundation.
article_processing_charge: No
article_type: original
author:
- first_name: Naoki
full_name: Zenmyo, Naoki
last_name: Zenmyo
- first_name: Hiroki
full_name: Tokumaru, Hiroki
last_name: Tokumaru
- first_name: Shohei
full_name: Uchinomiya, Shohei
last_name: Uchinomiya
- first_name: Hirokazu
full_name: Fuchida, Hirokazu
last_name: Fuchida
- first_name: Shigekazu
full_name: Tabata, Shigekazu
id: 4427179E-F248-11E8-B48F-1D18A9856A87
last_name: Tabata
- first_name: Itaru
full_name: Hamachi, Itaru
last_name: Hamachi
- first_name: Ryuichi
full_name: Shigemoto, Ryuichi
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Akio
full_name: Ojida, Akio
last_name: Ojida
citation:
ama: Zenmyo N, Tokumaru H, Uchinomiya S, et al. Optimized reaction pair of the CysHis
tag and Ni(II)-NTA probe for highly selective chemical labeling of membrane proteins.
Bulletin of the Chemical Society of Japan. 2019;92(5):995-1000. doi:10.1246/bcsj.20190034
apa: Zenmyo, N., Tokumaru, H., Uchinomiya, S., Fuchida, H., Tabata, S., Hamachi,
I., … Ojida, A. (2019). Optimized reaction pair of the CysHis tag and Ni(II)-NTA
probe for highly selective chemical labeling of membrane proteins. Bulletin
of the Chemical Society of Japan. Bulletin of the Chemical Society of Japan.
https://doi.org/10.1246/bcsj.20190034
chicago: Zenmyo, Naoki, Hiroki Tokumaru, Shohei Uchinomiya, Hirokazu Fuchida, Shigekazu
Tabata, Itaru Hamachi, Ryuichi Shigemoto, and Akio Ojida. “Optimized Reaction
Pair of the CysHis Tag and Ni(II)-NTA Probe for Highly Selective Chemical Labeling
of Membrane Proteins.” Bulletin of the Chemical Society of Japan. Bulletin
of the Chemical Society of Japan, 2019. https://doi.org/10.1246/bcsj.20190034.
ieee: N. Zenmyo et al., “Optimized reaction pair of the CysHis tag and Ni(II)-NTA
probe for highly selective chemical labeling of membrane proteins,” Bulletin
of the Chemical Society of Japan, vol. 92, no. 5. Bulletin of the Chemical
Society of Japan, pp. 995–1000, 2019.
ista: Zenmyo N, Tokumaru H, Uchinomiya S, Fuchida H, Tabata S, Hamachi I, Shigemoto
R, Ojida A. 2019. Optimized reaction pair of the CysHis tag and Ni(II)-NTA probe
for highly selective chemical labeling of membrane proteins. Bulletin of the Chemical
Society of Japan. 92(5), 995–1000.
mla: Zenmyo, Naoki, et al. “Optimized Reaction Pair of the CysHis Tag and Ni(II)-NTA
Probe for Highly Selective Chemical Labeling of Membrane Proteins.” Bulletin
of the Chemical Society of Japan, vol. 92, no. 5, Bulletin of the Chemical
Society of Japan, 2019, pp. 995–1000, doi:10.1246/bcsj.20190034.
short: N. Zenmyo, H. Tokumaru, S. Uchinomiya, H. Fuchida, S. Tabata, I. Hamachi,
R. Shigemoto, A. Ojida, Bulletin of the Chemical Society of Japan 92 (2019) 995–1000.
date_created: 2019-07-21T21:59:16Z
date_published: 2019-05-15T00:00:00Z
date_updated: 2021-01-12T08:08:26Z
day: '15'
ddc:
- '570'
department:
- _id: RySh
doi: 10.1246/bcsj.20190034
ec_funded: 1
file:
- access_level: open_access
checksum: 186de511d6e0ca93f5d981e2443eb8cd
content_type: application/pdf
creator: dernst
date_created: 2020-10-02T08:49:58Z
date_updated: 2020-10-02T08:49:58Z
file_id: '8594'
file_name: 2019_BCSJ_Zenmyo.pdf
file_size: 2464903
relation: main_file
success: 1
file_date_updated: 2020-10-02T08:49:58Z
has_accepted_license: '1'
intvolume: ' 92'
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 995-1000
project:
- _id: 25CA28EA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694539'
name: 'In situ analysis of single channel subunit composition in neurons: physiological
implication in synaptic plasticity and behaviour'
publication: Bulletin of the Chemical Society of Japan
publication_identifier:
issn:
- '00092673'
publication_status: published
publisher: Bulletin of the Chemical Society of Japan
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimized reaction pair of the CysHis tag and Ni(II)-NTA probe for highly selective
chemical labeling of membrane proteins
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 92
year: '2019'
...
---
_id: '6662'
abstract:
- lang: eng
text: "In phase retrieval, we want to recover an unknown signal \U0001D465∈ℂ\U0001D451
from n quadratic measurements of the form \U0001D466\U0001D456=|⟨\U0001D44E\U0001D456,\U0001D465⟩|2+\U0001D464\U0001D456,
where \U0001D44E\U0001D456∈ℂ\U0001D451 are known sensing vectors and \U0001D464\U0001D456
is measurement noise. We ask the following weak recovery question: What is the
minimum number of measurements n needed to produce an estimator \U0001D465^(\U0001D466)
that is positively correlated with the signal \U0001D465? We consider the case
of Gaussian vectors \U0001D44E\U0001D44E\U0001D456. We prove that—in the high-dimensional
limit—a sharp phase transition takes place, and we locate the threshold in the
regime of vanishingly small noise. For \U0001D45B≤\U0001D451−\U0001D45C(\U0001D451),
no estimator can do significantly better than random and achieve a strictly positive
correlation. For \U0001D45B≥\U0001D451+\U0001D45C(\U0001D451), a simple spectral
estimator achieves a positive correlation. Surprisingly, numerical simulations
with the same spectral estimator demonstrate promising performance with realistic
sensing matrices. Spectral methods are used to initialize non-convex optimization
algorithms in phase retrieval, and our approach can boost the performance in this
setting as well. Our impossibility result is based on classical information-theoretic
arguments. The spectral algorithm computes the leading eigenvector of a weighted
empirical covariance matrix. We obtain a sharp characterization of the spectral
properties of this random matrix using tools from free probability and generalizing
a recent result by Lu and Li. Both the upper bound and lower bound generalize
beyond phase retrieval to measurements \U0001D466\U0001D456 produced according
to a generalized linear model. As a by-product of our analysis, we compare the
threshold of the proposed spectral method with that of a message passing algorithm."
article_type: original
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Andrea
full_name: Montanari, Andrea
last_name: Montanari
citation:
ama: Mondelli M, Montanari A. Fundamental limits of weak recovery with applications
to phase retrieval. Foundations of Computational Mathematics. 2019;19(3):703-773.
doi:10.1007/s10208-018-9395-y
apa: Mondelli, M., & Montanari, A. (2019). Fundamental limits of weak recovery
with applications to phase retrieval. Foundations of Computational Mathematics.
Springer. https://doi.org/10.1007/s10208-018-9395-y
chicago: Mondelli, Marco, and Andrea Montanari. “Fundamental Limits of Weak Recovery
with Applications to Phase Retrieval.” Foundations of Computational Mathematics.
Springer, 2019. https://doi.org/10.1007/s10208-018-9395-y.
ieee: M. Mondelli and A. Montanari, “Fundamental limits of weak recovery with applications
to phase retrieval,” Foundations of Computational Mathematics, vol. 19,
no. 3. Springer, pp. 703–773, 2019.
ista: Mondelli M, Montanari A. 2019. Fundamental limits of weak recovery with applications
to phase retrieval. Foundations of Computational Mathematics. 19(3), 703–773.
mla: Mondelli, Marco, and Andrea Montanari. “Fundamental Limits of Weak Recovery
with Applications to Phase Retrieval.” Foundations of Computational Mathematics,
vol. 19, no. 3, Springer, 2019, pp. 703–73, doi:10.1007/s10208-018-9395-y.
short: M. Mondelli, A. Montanari, Foundations of Computational Mathematics 19 (2019)
703–773.
date_created: 2019-07-22T13:23:48Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2021-01-12T08:08:28Z
day: '01'
doi: 10.1007/s10208-018-9395-y
extern: '1'
external_id:
arxiv:
- '1708.05932'
intvolume: ' 19'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1708.05932
month: '06'
oa: 1
oa_version: Preprint
page: 703-773
publication: Foundations of Computational Mathematics
publication_identifier:
eissn:
- 1615-3383
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Fundamental limits of weak recovery with applications to phase retrieval
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2019'
...
---
_id: '6672'
abstract:
- lang: eng
text: The construction of anisotropic triangulations is desirable for various applications,
such as the numerical solving of partial differential equations and the representation
of surfaces in graphics. To solve this notoriously difficult problem in a practical
way, we introduce the discrete Riemannian Voronoi diagram, a discrete structure
that approximates the Riemannian Voronoi diagram. This structure has been implemented
and was shown to lead to good triangulations in $\mathbb{R}^2$ and on surfaces
embedded in $\mathbb{R}^3$ as detailed in our experimental companion paper. In
this paper, we study theoretical aspects of our structure. Given a finite set
of points $\mathcal{P}$ in a domain $\Omega$ equipped with a Riemannian metric,
we compare the discrete Riemannian Voronoi diagram of $\mathcal{P}$ to its Riemannian
Voronoi diagram. Both diagrams have dual structures called the discrete Riemannian
Delaunay and the Riemannian Delaunay complex. We provide conditions that guarantee
that these dual structures are identical. It then follows from previous results
that the discrete Riemannian Delaunay complex can be embedded in $\Omega$ under
sufficient conditions, leading to an anisotropic triangulation with curved simplices.
Furthermore, we show that, under similar conditions, the simplices of this triangulation
can be straightened.
author:
- first_name: Jean-Daniel
full_name: Boissonnat, Jean-Daniel
last_name: Boissonnat
- first_name: Mael
full_name: Rouxel-Labbé, Mael
last_name: Rouxel-Labbé
- first_name: Mathijs
full_name: Wintraecken, Mathijs
id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
last_name: Wintraecken
orcid: 0000-0002-7472-2220
citation:
ama: Boissonnat J-D, Rouxel-Labbé M, Wintraecken M. Anisotropic triangulations via
discrete Riemannian Voronoi diagrams. SIAM Journal on Computing. 2019;48(3):1046-1097.
doi:10.1137/17m1152292
apa: Boissonnat, J.-D., Rouxel-Labbé, M., & Wintraecken, M. (2019). Anisotropic
triangulations via discrete Riemannian Voronoi diagrams. SIAM Journal on Computing.
Society for Industrial & Applied Mathematics (SIAM). https://doi.org/10.1137/17m1152292
chicago: Boissonnat, Jean-Daniel, Mael Rouxel-Labbé, and Mathijs Wintraecken. “Anisotropic
Triangulations via Discrete Riemannian Voronoi Diagrams.” SIAM Journal on Computing.
Society for Industrial & Applied Mathematics (SIAM), 2019. https://doi.org/10.1137/17m1152292.
ieee: J.-D. Boissonnat, M. Rouxel-Labbé, and M. Wintraecken, “Anisotropic triangulations
via discrete Riemannian Voronoi diagrams,” SIAM Journal on Computing, vol.
48, no. 3. Society for Industrial & Applied Mathematics (SIAM), pp. 1046–1097,
2019.
ista: Boissonnat J-D, Rouxel-Labbé M, Wintraecken M. 2019. Anisotropic triangulations
via discrete Riemannian Voronoi diagrams. SIAM Journal on Computing. 48(3), 1046–1097.
mla: Boissonnat, Jean-Daniel, et al. “Anisotropic Triangulations via Discrete Riemannian
Voronoi Diagrams.” SIAM Journal on Computing, vol. 48, no. 3, Society for
Industrial & Applied Mathematics (SIAM), 2019, pp. 1046–97, doi:10.1137/17m1152292.
short: J.-D. Boissonnat, M. Rouxel-Labbé, M. Wintraecken, SIAM Journal on Computing
48 (2019) 1046–1097.
date_created: 2019-07-24T08:42:12Z
date_published: 2019-05-21T00:00:00Z
date_updated: 2021-01-12T08:08:30Z
day: '21'
doi: 10.1137/17m1152292
extern: '1'
external_id:
arxiv:
- '1703.06487'
intvolume: ' 48'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.06487
month: '05'
oa: 1
oa_version: Preprint
page: 1046-1097
publication: SIAM Journal on Computing
publication_identifier:
eissn:
- 1095-7111
issn:
- 0097-5397
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
quality_controlled: '1'
status: public
title: Anisotropic triangulations via discrete Riemannian Voronoi diagrams
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 48
year: '2019'
...
---
_id: '6725'
abstract:
- lang: eng
text: "A Valued Constraint Satisfaction Problem (VCSP) provides a common framework
that can express a wide range of discrete optimization problems. A VCSP instance
is given by a finite set of variables, a finite domain of labels, and an objective
function to be minimized. This function is represented as a sum of terms where
each term depends on a subset of the variables. To obtain different classes of
optimization problems, one can restrict all terms to come from a fixed set Γ of
cost functions, called a language. \r\nRecent breakthrough results have established
a complete complexity classification of such classes with respect to language
Γ: if all cost functions in Γ satisfy a certain algebraic condition then all Γ-instances
can be solved in polynomial time, otherwise the problem is NP-hard. Unfortunately,
testing this condition for a given language Γ is known to be NP-hard. We thus
study exponential algorithms for this meta-problem. We show that the tractability
condition of a finite-valued language Γ can be tested in O(3‾√3|D|⋅poly(size(Γ)))
time, where D is the domain of Γ and poly(⋅) is some fixed polynomial. We also
obtain a matching lower bound under the Strong Exponential Time Hypothesis (SETH).
More precisely, we prove that for any constant δ<1 there is no O(3‾√3δ|D|) algorithm,
assuming that SETH holds."
alternative_title:
- LIPIcs
author:
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: 'Kolmogorov V. Testing the complexity of a valued CSP language. In: 46th
International Colloquium on Automata, Languages and Programming. Vol 132.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:77:1-77:12. doi:10.4230/LIPICS.ICALP.2019.77'
apa: 'Kolmogorov, V. (2019). Testing the complexity of a valued CSP language. In
46th International Colloquium on Automata, Languages and Programming (Vol.
132, p. 77:1-77:12). Patras, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPICS.ICALP.2019.77'
chicago: Kolmogorov, Vladimir. “Testing the Complexity of a Valued CSP Language.”
In 46th International Colloquium on Automata, Languages and Programming,
132:77:1-77:12. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.ICALP.2019.77.
ieee: V. Kolmogorov, “Testing the complexity of a valued CSP language,” in 46th
International Colloquium on Automata, Languages and Programming, Patras, Greece,
2019, vol. 132, p. 77:1-77:12.
ista: 'Kolmogorov V. 2019. Testing the complexity of a valued CSP language. 46th
International Colloquium on Automata, Languages and Programming. ICALP 2019: International
Colloquim on Automata, Languages and Programming, LIPIcs, vol. 132, 77:1-77:12.'
mla: Kolmogorov, Vladimir. “Testing the Complexity of a Valued CSP Language.” 46th
International Colloquium on Automata, Languages and Programming, vol. 132,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 77:1-77:12, doi:10.4230/LIPICS.ICALP.2019.77.
short: V. Kolmogorov, in:, 46th International Colloquium on Automata, Languages
and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 77:1-77:12.
conference:
end_date: 2019-07-12
location: Patras, Greece
name: 'ICALP 2019: International Colloquim on Automata, Languages and Programming'
start_date: 2019-07-08
date_created: 2019-07-29T12:23:29Z
date_published: 2019-07-01T00:00:00Z
date_updated: 2021-01-12T08:08:40Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.4230/LIPICS.ICALP.2019.77
ec_funded: 1
external_id:
arxiv:
- '1803.02289'
file:
- access_level: open_access
checksum: f5ebee8eec6ae09e30365578ee63a492
content_type: application/pdf
creator: dernst
date_created: 2019-07-31T07:01:45Z
date_updated: 2020-07-14T12:47:38Z
file_id: '6738'
file_name: 2019_LIPICS_Kolmogorov.pdf
file_size: 575475
relation: main_file
file_date_updated: 2020-07-14T12:47:38Z
has_accepted_license: '1'
intvolume: ' 132'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 77:1-77:12
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: 46th International Colloquium on Automata, Languages and Programming
publication_identifier:
isbn:
- 978-3-95977-109-2
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Testing the complexity of a valued CSP language
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 132
year: '2019'
...
---
_id: '6726'
abstract:
- lang: eng
text: Randomness is an essential part of any secure cryptosystem, but many constructions
rely on distributions that are not uniform. This is particularly true for lattice
based cryptosystems, which more often than not make use of discrete Gaussian distributions
over the integers. For practical purposes it is crucial to evaluate the impact
that approximation errors have on the security of a scheme to provide the best
possible trade-off between security and performance. Recent years have seen surprising
results allowing to use relatively low precision while maintaining high levels
of security. A key insight in these results is that sampling a distribution with
low relative error can provide very strong security guarantees. Since floating
point numbers provide guarantees on the relative approximation error, they seem
a suitable tool in this setting, but it is not obvious which sampling algorithms
can actually profit from them. While previous works have shown that inversion
sampling can be adapted to provide a low relative error (Pöppelmann et al., CHES
2014; Prest, ASIACRYPT 2017), other works have called into question if this is
possible for other sampling techniques (Zheng et al., Eprint report 2018/309).
In this work, we consider all sampling algorithms that are popular in the cryptographic
setting and analyze the relationship of floating point precision and the resulting
relative error. We show that all of the algorithms either natively achieve a low
relative error or can be adapted to do so.
article_processing_charge: No
author:
- first_name: Michael
full_name: Walter, Michael
id: 488F98B0-F248-11E8-B48F-1D18A9856A87
last_name: Walter
orcid: 0000-0003-3186-2482
citation:
ama: 'Walter M. Sampling the integers with low relative error. In: Buchmann J, Nitaj
A, Rachidi T, eds. Progress in Cryptology – AFRICACRYPT 2019. Vol 11627.
LNCS. Cham: Springer Nature; 2019:157-180. doi:10.1007/978-3-030-23696-0_9'
apa: 'Walter, M. (2019). Sampling the integers with low relative error. In J. Buchmann,
A. Nitaj, & T. Rachidi (Eds.), Progress in Cryptology – AFRICACRYPT 2019
(Vol. 11627, pp. 157–180). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-23696-0_9'
chicago: 'Walter, Michael. “Sampling the Integers with Low Relative Error.” In Progress
in Cryptology – AFRICACRYPT 2019, edited by J Buchmann, A Nitaj, and T Rachidi,
11627:157–80. LNCS. Cham: Springer Nature, 2019. https://doi.org/10.1007/978-3-030-23696-0_9.'
ieee: 'M. Walter, “Sampling the integers with low relative error,” in Progress
in Cryptology – AFRICACRYPT 2019, vol. 11627, J. Buchmann, A. Nitaj, and T.
Rachidi, Eds. Cham: Springer Nature, 2019, pp. 157–180.'
ista: 'Walter M. 2019.Sampling the integers with low relative error. In: Progress
in Cryptology – AFRICACRYPT 2019. vol. 11627, 157–180.'
mla: Walter, Michael. “Sampling the Integers with Low Relative Error.” Progress
in Cryptology – AFRICACRYPT 2019, edited by J Buchmann et al., vol. 11627,
Springer Nature, 2019, pp. 157–80, doi:10.1007/978-3-030-23696-0_9.
short: M. Walter, in:, J. Buchmann, A. Nitaj, T. Rachidi (Eds.), Progress in Cryptology
– AFRICACRYPT 2019, Springer Nature, Cham, 2019, pp. 157–180.
conference:
end_date: 2019-07-11
location: Rabat, Morocco
name: 'AFRICACRYPT: International Conference on Cryptology in Africa'
start_date: 2019-07-09
date_created: 2019-07-29T12:25:31Z
date_published: 2019-06-29T00:00:00Z
date_updated: 2023-02-23T12:50:15Z
day: '29'
department:
- _id: KrPi
doi: 10.1007/978-3-030-23696-0_9
ec_funded: 1
editor:
- first_name: J
full_name: Buchmann, J
last_name: Buchmann
- first_name: A
full_name: Nitaj, A
last_name: Nitaj
- first_name: T
full_name: Rachidi, T
last_name: Rachidi
intvolume: ' 11627'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprint.iacr.org/2019/068
month: '06'
oa: 1
oa_version: Preprint
page: 157-180
place: Cham
project:
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '682815'
name: Teaching Old Crypto New Tricks
publication: Progress in Cryptology – AFRICACRYPT 2019
publication_identifier:
eisbn:
- 978-3-0302-3696-0
isbn:
- 978-3-0302-3695-3
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: LNCS
status: public
title: Sampling the integers with low relative error
type: book_chapter
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 11627
year: '2019'
...
---
_id: '6663'
abstract:
- lang: eng
text: Consider the problem of constructing a polar code of block length N for a
given transmission channel W. Previous approaches require one to compute the reliability
of the N synthetic channels and then use only those that are sufficiently reliable.
However, we know from two independent works by Schürch and by Bardet et al. that
the synthetic channels are partially ordered with respect to degradation. Hence,
it is natural to ask whether the partial order can be exploited to reduce the
computational burden of the construction problem. We show that, if we take advantage
of the partial order, we can construct a polar code by computing the reliability
of roughly a fraction 1/ log 3/2 N of the synthetic channels. In particular, we
prove that N/ log 3/2 N is a lower bound on the number of synthetic channels to
be considered and such a bound is tight up to a multiplicative factor log log
N. This set of roughly N/ log 3/2 N synthetic channels is universal, in the sense
that it allows one to construct polar codes for any W, and it can be identified
by solving a maximum matching problem on a bipartite graph. Our proof technique
consists of reducing the construction problem to the problem of computing the
maximum cardinality of an antichain for a suitable partially ordered set. As such,
this method is general, and it can be used to further improve the complexity of
the construction problem, in case a refined partial order on the synthetic channels
of polar codes is discovered.
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Hamed
full_name: Hassani, Hamed
last_name: Hassani
- first_name: Rudiger
full_name: Urbanke, Rudiger
last_name: Urbanke
citation:
ama: Mondelli M, Hassani H, Urbanke R. Construction of polar codes with sublinear
complexity. IEEE. 2019;65(5):2782-2791. doi:10.1109/tit.2018.2889667
apa: Mondelli, M., Hassani, H., & Urbanke, R. (2019). Construction of polar
codes with sublinear complexity. IEEE. IEEE. https://doi.org/10.1109/tit.2018.2889667
chicago: Mondelli, Marco, Hamed Hassani, and Rudiger Urbanke. “Construction of Polar
Codes with Sublinear Complexity.” IEEE. IEEE, 2019. https://doi.org/10.1109/tit.2018.2889667.
ieee: M. Mondelli, H. Hassani, and R. Urbanke, “Construction of polar codes with
sublinear complexity,” IEEE, vol. 65, no. 5. IEEE, pp. 2782–2791, 2019.
ista: Mondelli M, Hassani H, Urbanke R. 2019. Construction of polar codes with sublinear
complexity. IEEE. 65(5), 2782–2791.
mla: Mondelli, Marco, et al. “Construction of Polar Codes with Sublinear Complexity.”
IEEE, vol. 65, no. 5, IEEE, 2019, pp. 2782–91, doi:10.1109/tit.2018.2889667.
short: M. Mondelli, H. Hassani, R. Urbanke, IEEE 65 (2019) 2782–2791.
date_created: 2019-07-23T07:32:57Z
date_published: 2019-05-01T00:00:00Z
date_updated: 2023-02-23T12:50:20Z
day: '01'
doi: 10.1109/tit.2018.2889667
extern: '1'
external_id:
arxiv:
- '1612.05295'
intvolume: ' 65'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1612.05295
month: '05'
oa: 1
oa_version: Preprint
page: 2782-2791
publication: IEEE
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
record:
- id: '6729'
relation: earlier_version
status: public
status: public
title: Construction of polar codes with sublinear complexity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 65
year: '2019'
...
---
_id: '6747'
abstract:
- lang: eng
text: "We establish connections between the problem of learning a two-layer neural
network and tensor decomposition. We consider a model with feature vectors x∈ℝd,
r hidden units with weights {wi}1≤i≤r and output y∈ℝ, i.e., y=∑ri=1σ(w\U0001D5B3ix),
with activation functions given by low-degree polynomials. In particular, if σ(x)=a0+a1x+a3x3,
we prove that no polynomial-time learning algorithm can outperform the trivial
predictor that assigns to each example the response variable \U0001D53C(y), when
d3/2≪r≪d2. Our conclusion holds for a `natural data distribution', namely standard
Gaussian feature vectors x, and output distributed according to a two-layer neural
network with random isotropic weights, and under a certain complexity-theoretic
assumption on tensor decomposition. Roughly speaking, we assume that no polynomial-time
algorithm can substantially outperform current methods for tensor decomposition
based on the sum-of-squares hierarchy. We also prove generalizations of this statement
for higher degree polynomial activations, and non-random weight vectors. Remarkably,
several existing algorithms for learning two-layer networks with rigorous guarantees
are based on tensor decomposition. Our results support the idea that this is indeed
the core computational difficulty in learning such networks, under the stated
generative model for the data. As a side result, we show that under this model
learning the network requires accurate learning of its weights, a property that
does not hold in a more general setting. "
article_processing_charge: No
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Andrea
full_name: Montanari, Andrea
last_name: Montanari
citation:
ama: 'Mondelli M, Montanari A. On the connection between learning two-layers neural
networks and tensor decomposition. In: Proceedings of the 22nd International
Conference on Artificial Intelligence and Statistics. Vol 89. Proceedings
of Machine Learning Research; 2019:1051-1060.'
apa: 'Mondelli, M., & Montanari, A. (2019). On the connection between learning
two-layers neural networks and tensor decomposition. In Proceedings of the
22nd International Conference on Artificial Intelligence and Statistics (Vol.
89, pp. 1051–1060). Naha, Okinawa, Japan: Proceedings of Machine Learning Research.'
chicago: Mondelli, Marco, and Andrea Montanari. “On the Connection between Learning
Two-Layers Neural Networks and Tensor Decomposition.” In Proceedings of the
22nd International Conference on Artificial Intelligence and Statistics, 89:1051–60.
Proceedings of Machine Learning Research, 2019.
ieee: M. Mondelli and A. Montanari, “On the connection between learning two-layers
neural networks and tensor decomposition,” in Proceedings of the 22nd International
Conference on Artificial Intelligence and Statistics, Naha, Okinawa, Japan,
2019, vol. 89, pp. 1051–1060.
ista: 'Mondelli M, Montanari A. 2019. On the connection between learning two-layers
neural networks and tensor decomposition. Proceedings of the 22nd International
Conference on Artificial Intelligence and Statistics. AISTATS: Artificial Intelligence
and Statistics vol. 89, 1051–1060.'
mla: Mondelli, Marco, and Andrea Montanari. “On the Connection between Learning
Two-Layers Neural Networks and Tensor Decomposition.” Proceedings of the 22nd
International Conference on Artificial Intelligence and Statistics, vol. 89,
Proceedings of Machine Learning Research, 2019, pp. 1051–60.
short: M. Mondelli, A. Montanari, in:, Proceedings of the 22nd International Conference
on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research,
2019, pp. 1051–1060.
conference:
end_date: 2019-04-18
location: Naha, Okinawa, Japan
name: 'AISTATS: Artificial Intelligence and Statistics'
start_date: 2019-04-16
date_created: 2019-07-31T09:31:26Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2021-01-12T08:08:49Z
day: '01'
extern: '1'
external_id:
arxiv:
- '1802.07301'
intvolume: ' 89'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1802.07301
month: '04'
oa: 1
oa_version: Preprint
page: 1051-1060
publication: Proceedings of the 22nd International Conference on Artificial Intelligence
and Statistics
publication_status: published
publisher: Proceedings of Machine Learning Research
quality_controlled: '1'
status: public
title: On the connection between learning two-layers neural networks and tensor decomposition
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 89
year: '2019'
...
---
_id: '6750'
abstract:
- lang: eng
text: 'Polar codes have gained extensive attention during the past few years and
recently they have been selected for the next generation of wireless communications
standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC
list (SCL) and SC flip (SCF), provide a reasonable error performance for polar
codes at the cost of low decoding speed. Fast SC-based decoders, such as Fast-SSC,
Fast-SSCL, and Fast-SSCF, identify the special constituent codes in a polar code
graph off-line, produce a list of operations, store the list in memory, and feed
the list to the decoder to decode the constituent codes in order efficiently,
thus increasing the decoding speed. However, the list of operations is dependent
on the code rate and as the rate changes, a new list is produced, making fast
SC-based decoders not rate-flexible. In this paper, we propose a completely rate-flexible
fast SC-based decoder by creating the list of operations directly in hardware,
with low implementation complexity. We further propose a hardware architecture
implementing the proposed method and show that the area occupation of the rate-flexible
fast SC-based decoder in this paper is only 38% of the total area of the memory-based
base-line decoder when 5G code rates are supported. '
article_number: '8854897'
article_processing_charge: No
article_type: original
author:
- first_name: Seyyed Ali
full_name: Hashemi, Seyyed Ali
last_name: Hashemi
- first_name: Carlo
full_name: Condo, Carlo
last_name: Condo
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Warren J
full_name: Gross, Warren J
last_name: Gross
citation:
ama: Hashemi SA, Condo C, Mondelli M, Gross WJ. Rate-flexible fast polar decoders.
IEEE Transactions on Signal Processing. 2019;67(22). doi:10.1109/TSP.2019.2944738
apa: Hashemi, S. A., Condo, C., Mondelli, M., & Gross, W. J. (2019). Rate-flexible
fast polar decoders. IEEE Transactions on Signal Processing. IEEE. https://doi.org/10.1109/TSP.2019.2944738
chicago: Hashemi, Seyyed Ali, Carlo Condo, Marco Mondelli, and Warren J Gross. “Rate-Flexible
Fast Polar Decoders.” IEEE Transactions on Signal Processing. IEEE, 2019.
https://doi.org/10.1109/TSP.2019.2944738.
ieee: S. A. Hashemi, C. Condo, M. Mondelli, and W. J. Gross, “Rate-flexible fast
polar decoders,” IEEE Transactions on Signal Processing, vol. 67, no. 22.
IEEE, 2019.
ista: Hashemi SA, Condo C, Mondelli M, Gross WJ. 2019. Rate-flexible fast polar
decoders. IEEE Transactions on Signal Processing. 67(22), 8854897.
mla: Hashemi, Seyyed Ali, et al. “Rate-Flexible Fast Polar Decoders.” IEEE Transactions
on Signal Processing, vol. 67, no. 22, 8854897, IEEE, 2019, doi:10.1109/TSP.2019.2944738.
short: S.A. Hashemi, C. Condo, M. Mondelli, W.J. Gross, IEEE Transactions on Signal
Processing 67 (2019).
date_created: 2019-07-31T09:51:14Z
date_published: 2019-11-15T00:00:00Z
date_updated: 2021-01-12T08:08:51Z
day: '15'
department:
- _id: MaMo
doi: 10.1109/TSP.2019.2944738
external_id:
arxiv:
- '1903.09203'
intvolume: ' 67'
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1903.09203
month: '11'
oa: 1
oa_version: Preprint
publication: IEEE Transactions on Signal Processing
publication_identifier:
issn:
- 1053587X
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: 1
status: public
title: Rate-flexible fast polar decoders
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 67
year: '2019'
...
---
_id: '6759'
abstract:
- lang: eng
text: "We consider the graph class Grounded-L corresponding to graphs that admit
an intersection representation by L-shaped curves, where additionally the topmost
points of each curve are assumed to belong to a common horizontal line. We prove
that Grounded-L graphs admit an equivalent characterisation in terms of vertex
ordering with forbidden patterns. \r\nWe also compare this class to related intersection
classes, such as the grounded segment graphs, the monotone L-graphs (a.k.a. max
point-tolerance graphs), or the outer-1-string graphs. We give constructions showing
that these classes are all distinct and satisfy only trivial or previously known
inclusions."
article_number: P3.17
article_processing_charge: No
article_type: original
author:
- first_name: Vít
full_name: Jelínek, Vít
last_name: Jelínek
- first_name: Martin
full_name: Töpfer, Martin
id: 4B865388-F248-11E8-B48F-1D18A9856A87
last_name: Töpfer
citation:
ama: Jelínek V, Töpfer M. On grounded L-graphs and their relatives. Electronic
Journal of Combinatorics. 2019;26(3). doi:10.37236/8096
apa: Jelínek, V., & Töpfer, M. (2019). On grounded L-graphs and their relatives.
Electronic Journal of Combinatorics. Electronic Journal of Combinatorics.
https://doi.org/10.37236/8096
chicago: Jelínek, Vít, and Martin Töpfer. “On Grounded L-Graphs and Their Relatives.”
Electronic Journal of Combinatorics. Electronic Journal of Combinatorics,
2019. https://doi.org/10.37236/8096.
ieee: V. Jelínek and M. Töpfer, “On grounded L-graphs and their relatives,” Electronic
Journal of Combinatorics, vol. 26, no. 3. Electronic Journal of Combinatorics,
2019.
ista: Jelínek V, Töpfer M. 2019. On grounded L-graphs and their relatives. Electronic
Journal of Combinatorics. 26(3), P3.17.
mla: Jelínek, Vít, and Martin Töpfer. “On Grounded L-Graphs and Their Relatives.”
Electronic Journal of Combinatorics, vol. 26, no. 3, P3.17, Electronic
Journal of Combinatorics, 2019, doi:10.37236/8096.
short: V. Jelínek, M. Töpfer, Electronic Journal of Combinatorics 26 (2019).
date_created: 2019-08-04T21:59:20Z
date_published: 2019-07-19T00:00:00Z
date_updated: 2022-03-18T12:32:02Z
day: '19'
ddc:
- '510'
department:
- _id: DaAl
doi: 10.37236/8096
ec_funded: 1
external_id:
arxiv:
- '1808.04148'
file:
- access_level: open_access
checksum: 20fc366fc6683ef0b074a019b73a663a
content_type: application/pdf
creator: dernst
date_created: 2019-08-05T06:46:55Z
date_updated: 2020-07-14T12:47:39Z
file_id: '6764'
file_name: 2019_eJourCombinatorics_Jelinek.pdf
file_size: 533697
relation: main_file
file_date_updated: 2020-07-14T12:47:39Z
has_accepted_license: '1'
intvolume: ' 26'
issue: '3'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Electronic Journal of Combinatorics
publication_identifier:
eissn:
- '10778926'
publication_status: published
publisher: Electronic Journal of Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: On grounded L-graphs and their relatives
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2019'
...
---
_id: '6822'
abstract:
- lang: eng
text: "In two-player games on graphs, the players move a token through a graph to
produce an infinite path, which determines the qualitative winner or quantitative
payoff of the game. In bidding games, in each turn, we hold an auction between
the two players to determine which player moves the token. Bidding games have
largely been studied with concrete bidding mechanisms that are variants of a first-price
auction: in each turn both players simultaneously submit bids, the higher\r\nbidder
moves the token, and pays his bid to the lower bidder in Richman bidding, to the
bank in poorman bidding, and in taxman bidding, the bid is split between the other
player and the bank according to a predefined constant factor. Bidding games are
deterministic games. They have an intriguing connection with a fragment of stochastic
games called \r\n randomturn games. We study, for the first time, a combination
of bidding games with probabilistic behavior; namely, we study bidding games that
are played on Markov decision processes, where the players bid for the right to
choose the next action, which determines the probability distribution according
to which the next vertex is chosen. We study parity and meanpayoff bidding games
on MDPs and extend results from the deterministic bidding setting to the probabilistic
one."
alternative_title:
- LNCS
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Petr
full_name: Novotny, Petr
last_name: Novotny
citation:
ama: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. Bidding games on Markov decision
processes. In: Proceedings of the 13th International Conference of Reachability
Problems. Vol 11674. Springer; 2019:1-12. doi:10.1007/978-3-030-30806-3_1'
apa: 'Avni, G., Henzinger, T. A., Ibsen-Jensen, R., & Novotny, P. (2019). Bidding
games on Markov decision processes. In Proceedings of the 13th International
Conference of Reachability Problems (Vol. 11674, pp. 1–12). Brussels, Belgium:
Springer. https://doi.org/10.1007/978-3-030-30806-3_1'
chicago: Avni, Guy, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Petr Novotny. “Bidding
Games on Markov Decision Processes.” In Proceedings of the 13th International
Conference of Reachability Problems, 11674:1–12. Springer, 2019. https://doi.org/10.1007/978-3-030-30806-3_1.
ieee: G. Avni, T. A. Henzinger, R. Ibsen-Jensen, and P. Novotny, “Bidding games
on Markov decision processes,” in Proceedings of the 13th International Conference
of Reachability Problems, Brussels, Belgium, 2019, vol. 11674, pp. 1–12.
ista: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. 2019. Bidding games on Markov
decision processes. Proceedings of the 13th International Conference of Reachability
Problems. RP: Reachability Problems, LNCS, vol. 11674, 1–12.'
mla: Avni, Guy, et al. “Bidding Games on Markov Decision Processes.” Proceedings
of the 13th International Conference of Reachability Problems, vol. 11674,
Springer, 2019, pp. 1–12, doi:10.1007/978-3-030-30806-3_1.
short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, P. Novotny, in:, Proceedings of
the 13th International Conference of Reachability Problems, Springer, 2019, pp.
1–12.
conference:
end_date: 2019-09-13
location: Brussels, Belgium
name: 'RP: Reachability Problems'
start_date: 2019-09-11
date_created: 2019-08-19T07:58:10Z
date_published: 2019-09-06T00:00:00Z
date_updated: 2021-01-12T08:09:12Z
day: '06'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-030-30806-3_1
file:
- access_level: open_access
checksum: 45ebbc709af2b247d28c7c293c01504b
content_type: application/pdf
creator: gavni
date_created: 2019-08-19T07:56:40Z
date_updated: 2020-07-14T12:47:41Z
file_id: '6823'
file_name: prob.pdf
file_size: 436635
relation: main_file
file_date_updated: 2020-07-14T12:47:41Z
has_accepted_license: '1'
intvolume: ' 11674'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 1-12
project:
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: ' Proceedings of the 13th International Conference of Reachability Problems'
publication_identifier:
isbn:
- 978-303030805-6
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: 1
status: public
title: Bidding games on Markov decision processes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11674
year: '2019'
...
---
_id: '6887'
abstract:
- lang: eng
text: 'The fundamental model-checking problem, given as input a model and a specification,
asks for the algorithmic verification of whether the model satisfies the specification.
Two classical models for reactive systems are graphs and Markov decision processes
(MDPs). A basic specification formalism in the verification of reactive systems
is the strong fairness (aka Streett) objective, where given different types of
requests and corresponding grants, the requirement is that for each type, if the
request event happens infinitely often, then the corresponding grant event must
also happen infinitely often. All omega-regular objectives can be expressed as
Streett objectives and hence they are canonical in verification. Consider graphs/MDPs
with n vertices, m edges, and a Streett objectives with k pairs, and let b denote
the size of the description of the Streett objective for the sets of requests
and grants. The current best-known algorithm for the problem requires time O(min(n^2,
m sqrt{m log n}) + b log n). In this work we present randomized near-linear time
algorithms, with expected running time O~(m + b), where the O~ notation hides
poly-log factors. Our randomized algorithms are near-linear in the size of the
input, and hence optimal up to poly-log factors. '
alternative_title:
- LIPIcs
article_number: '7'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Wolfgang
full_name: Dvorák, Wolfgang
last_name: Dvorák
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms
for Streett objectives in graphs and MDPs. In: Leibniz International Proceedings
in Informatics. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2019. doi:10.4230/LIPICS.CONCUR.2019.7'
apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., & Svozil, A. (2019). Near-linear
time algorithms for Streett objectives in graphs and MDPs. In Leibniz International
Proceedings in Informatics (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.7'
chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander
Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.”
In Leibniz International Proceedings in Informatics, Vol. 140. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.7.
ieee: K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time
algorithms for Streett objectives in graphs and MDPs,” in Leibniz International
Proceedings in Informatics, Amsterdam, Netherlands, 2019, vol. 140.
ista: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms
for Streett objectives in graphs and MDPs. Leibniz International Proceedings in
Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol.
140, 7.'
mla: Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives
in Graphs and MDPs.” Leibniz International Proceedings in Informatics,
vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.7.
short: K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International
Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:07:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-08-12T10:54:34Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.7
ec_funded: 1
file:
- access_level: open_access
checksum: e1f0e4061212454574f34a1368d018ec
content_type: application/pdf
creator: kschuh
date_created: 2019-10-01T08:20:30Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6922'
file_name: 2019_LIPIcs_Chatterjee.pdf
file_size: 730112
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Leibniz International Proceedings in Informatics
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Near-linear time algorithms for Streett objectives in graphs and MDPs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 140
year: '2019'
...
---
_id: '6888'
abstract:
- lang: eng
text: In this paper, we design novel liquid time-constant recurrent neural networks
for robotic control, inspired by the brain of the nematode, C. elegans. In the
worm's nervous system, neurons communicate through nonlinear time-varying synaptic
links established amongst them by their particular wiring structure. This property
enables neurons to express liquid time-constants dynamics and therefore allows
the network to originate complex behaviors with a small number of neurons. We
identify neuron-pair communication motifs as design operators and use them to
configure compact neuronal network structures to govern sequential robotic tasks.
The networks are systematically designed to map the environmental observations
to motor actions, by their hierarchical topology from sensory neurons, through
recurrently-wired interneurons, to motor neurons. The networks are then parametrized
in a supervised-learning scheme by a search-based algorithm. We demonstrate that
obtained networks realize interpretable dynamics. We evaluate their performance
in controlling mobile and arm robots, and compare their attributes to other artificial
neural network-based control agents. Finally, we experimentally show their superior
resilience to environmental noise, compared to the existing machine learning-based
methods.
alternative_title:
- ICRA
article_number: '8793840'
article_processing_charge: No
author:
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Ramin
full_name: Hasani, Ramin
last_name: Hasani
- first_name: Manuel
full_name: Zimmer, Manuel
last_name: Zimmer
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Radu
full_name: Grosu, Radu
last_name: Grosu
citation:
ama: 'Lechner M, Hasani R, Zimmer M, Henzinger TA, Grosu R. Designing worm-inspired
neural networks for interpretable robotic control. In: Proceedings - IEEE International
Conference on Robotics and Automation. Vol 2019-May. IEEE; 2019. doi:10.1109/icra.2019.8793840'
apa: 'Lechner, M., Hasani, R., Zimmer, M., Henzinger, T. A., & Grosu, R. (2019).
Designing worm-inspired neural networks for interpretable robotic control. In
Proceedings - IEEE International Conference on Robotics and Automation
(Vol. 2019–May). Montreal, QC, Canada: IEEE. https://doi.org/10.1109/icra.2019.8793840'
chicago: Lechner, Mathias, Ramin Hasani, Manuel Zimmer, Thomas A Henzinger, and
Radu Grosu. “Designing Worm-Inspired Neural Networks for Interpretable Robotic
Control.” In Proceedings - IEEE International Conference on Robotics and Automation,
Vol. 2019–May. IEEE, 2019. https://doi.org/10.1109/icra.2019.8793840.
ieee: M. Lechner, R. Hasani, M. Zimmer, T. A. Henzinger, and R. Grosu, “Designing
worm-inspired neural networks for interpretable robotic control,” in Proceedings
- IEEE International Conference on Robotics and Automation, Montreal, QC,
Canada, 2019, vol. 2019–May.
ista: 'Lechner M, Hasani R, Zimmer M, Henzinger TA, Grosu R. 2019. Designing worm-inspired
neural networks for interpretable robotic control. Proceedings - IEEE International
Conference on Robotics and Automation. ICRA: International Conference on Robotics
and Automation, ICRA, vol. 2019–May, 8793840.'
mla: Lechner, Mathias, et al. “Designing Worm-Inspired Neural Networks for Interpretable
Robotic Control.” Proceedings - IEEE International Conference on Robotics and
Automation, vol. 2019–May, 8793840, IEEE, 2019, doi:10.1109/icra.2019.8793840.
short: M. Lechner, R. Hasani, M. Zimmer, T.A. Henzinger, R. Grosu, in:, Proceedings
- IEEE International Conference on Robotics and Automation, IEEE, 2019.
conference:
end_date: 2019-05-24
location: Montreal, QC, Canada
name: 'ICRA: International Conference on Robotics and Automation'
start_date: 2019-05-20
date_created: 2019-09-18T08:09:51Z
date_published: 2019-05-01T00:00:00Z
date_updated: 2021-01-12T08:09:28Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1109/icra.2019.8793840
file:
- access_level: open_access
checksum: f5545a6b60c3ffd01feb3613f81d03b6
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T17:30:38Z
date_updated: 2020-10-08T17:30:38Z
file_id: '8636'
file_name: 2019_ICRA_Lechner.pdf
file_size: 3265107
relation: main_file
success: 1
file_date_updated: 2020-10-08T17:30:38Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Proceedings - IEEE International Conference on Robotics and Automation
publication_identifier:
isbn:
- '9781538660270'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Designing worm-inspired neural networks for interpretable robotic control
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 2019-May
year: '2019'
...
---
_id: '6886'
abstract:
- lang: eng
text: 'In two-player games on graphs, the players move a token through a graph to
produce an infinite path, which determines the winner of the game. Such games
are central in formal methods since they model the interaction between a non-terminating
system and its environment. In bidding games the players bid for the right to
move the token: in each round, the players simultaneously submit bids, and the
higher bidder moves the token and pays the other player. Bidding games are known
to have a clean and elegant mathematical structure that relies on the ability
of the players to submit arbitrarily small bids. Many applications, however, require
a fixed granularity for the bids, which can represent, for example, the monetary
value expressed in cents. We study, for the first time, the combination of discrete-bidding
and infinite-duration games. Our most important result proves that these games
form a large determined subclass of concurrent games, where determinacy is the
strong property that there always exists exactly one player who can guarantee
winning the game. In particular, we show that, in contrast to non-discrete bidding
games, the mechanism with which tied bids are resolved plays an important role
in discrete-bidding games. We study several natural tie-breaking mechanisms and
show that, while some do not admit determinacy, most natural mechanisms imply
determinacy for every pair of initial budgets. '
alternative_title:
- LIPIcs
article_number: '20'
article_processing_charge: No
author:
- first_name: Milad
full_name: Aghajohari, Milad
last_name: Aghajohari
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration
games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.20'
apa: 'Aghajohari, M., Avni, G., & Henzinger, T. A. (2019). Determinacy in discrete-bidding
infinite-duration games (Vol. 140). Presented at the CONCUR: International Conference
on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.20'
chicago: Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding
Infinite-Duration Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.20.
ieee: 'M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding
infinite-duration games,” presented at the CONCUR: International Conference on
Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Aghajohari M, Avni G, Henzinger TA. 2019. Determinacy in discrete-bidding
infinite-duration games. CONCUR: International Conference on Concurrency Theory,
LIPIcs, vol. 140, 20.'
mla: Aghajohari, Milad, et al. Determinacy in Discrete-Bidding Infinite-Duration
Games. Vol. 140, 20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019,
doi:10.4230/LIPICS.CONCUR.2019.20.
short: M. Aghajohari, G. Avni, T.A. Henzinger, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:06:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-01-26T08:27:10Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPICS.CONCUR.2019.20
external_id:
arxiv:
- '1905.03588'
file:
- access_level: open_access
checksum: 4df6d3575c506edb17215adada03cc8e
content_type: application/pdf
creator: kschuh
date_created: 2019-09-27T12:21:38Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6915'
file_name: 2019_LIPIcs_Aghajohari.pdf
file_size: 741425
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Determinacy in discrete-bidding infinite-duration games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 140
year: '2019'
...
---
_id: '6885'
abstract:
- lang: eng
text: 'A vector addition system with states (VASS) consists of a finite set of states
and counters. A configuration is a state and a value for each counter; a transition
changes the state and each counter is incremented, decremented, or left unchanged.
While qualitative properties such as state and configuration reachability have
been studied for VASS, we consider the long-run average cost of infinite computations
of VASS. The cost of a configuration is for each state, a linear combination of
the counter values. In the special case of uniform cost functions, the linear
combination is the same for all states. The (regular) long-run emptiness problem
is, given a VASS, a cost function, and a threshold value, if there is a (lasso-shaped)
computation such that the long-run average value of the cost function does not
exceed the threshold. For uniform cost functions, we show that the regular long-run
emptiness problem is (a) decidable in polynomial time for integer-valued VASS,
and (b) decidable but nonelementarily hard for natural-valued VASS (i.e., nonnegative
counters). For general cost functions, we show that the problem is (c) NP-complete
for integer-valued VASS, and (d) undecidable for natural-valued VASS. Our most
interesting result is for (c) integer-valued VASS with general cost functions,
where we establish a connection between the regular long-run emptiness problem
and quadratic Diophantine inequalities. The general (nonregular) long-run emptiness
problem is equally hard as the regular problem in all cases except (c), where
it remains open. '
alternative_title:
- LIPIcs
article_number: '27'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Long-run average behavior of vector addition
systems with states. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2019. doi:10.4230/LIPICS.CONCUR.2019.27'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2019). Long-run average
behavior of vector addition systems with states (Vol. 140). Presented at the CONCUR:
International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.27'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Long-Run Average
Behavior of Vector Addition Systems with States,” Vol. 140. Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.27.
ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Long-run average behavior of
vector addition systems with states,” presented at the CONCUR: International Conference
on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Chatterjee K, Henzinger TA, Otop J. 2019. Long-run average behavior of vector
addition systems with states. CONCUR: International Conference on Concurrency
Theory, LIPIcs, vol. 140, 27.'
mla: Chatterjee, Krishnendu, et al. Long-Run Average Behavior of Vector Addition
Systems with States. Vol. 140, 27, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.27.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:06:14Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:09:27Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.27
file:
- access_level: open_access
checksum: 4985e26e1572d1575d64d38acabd71d6
content_type: application/pdf
creator: kschuh
date_created: 2019-09-27T12:09:35Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6914'
file_name: 2019_LIPIcs_Chatterjee.pdf
file_size: 538120
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file_date_updated: 2020-07-14T12:47:43Z
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intvolume: ' 140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Long-run average behavior of vector addition systems with states
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 140
year: '2019'
...
---
_id: '6889'
abstract:
- lang: eng
text: 'We study Markov decision processes and turn-based stochastic games with parity
conditions. There are three qualitative winning criteria, namely, sure winning,
which requires all paths to satisfy the condition, almost-sure winning, which
requires the condition to be satisfied with probability 1, and limit-sure winning,
which requires the condition to be satisfied with probability arbitrarily close
to 1. We study the combination of two of these criteria for parity conditions,
e.g., there are two parity conditions one of which must be won surely, and the
other almost-surely. The problem has been studied recently by Berthon et al. for
MDPs with combination of sure and almost-sure winning, under infinite-memory strategies,
and the problem has been established to be in NP cap co-NP. Even in MDPs there
is a difference between finite-memory and infinite-memory strategies. Our main
results for combination of sure and almost-sure winning are as follows: (a) we
show that for MDPs with finite-memory strategies the problem is in NP cap co-NP;
(b) we show that for turn-based stochastic games the problem is co-NP-complete,
both for finite-memory and infinite-memory strategies; and (c) we present algorithmic
results for the finite-memory case, both for MDPs and turn-based stochastic games,
by reduction to non-stochastic parity games. In addition we show that all the
above complexity results also carry over to combination of sure and limit-sure
winning, and results for all other combinations can be derived from existing results
in the literature. Thus we present a complete picture for the study of combinations
of two qualitative winning criteria for parity conditions in MDPs and turn-based
stochastic games. '
alternative_title:
- LIPIcs
article_number: '6'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Nir
full_name: Piterman, Nir
last_name: Piterman
citation:
ama: 'Chatterjee K, Piterman N. Combinations of Qualitative Winning for Stochastic
Parity Games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2019. doi:10.4230/LIPICS.CONCUR.2019.6'
apa: 'Chatterjee, K., & Piterman, N. (2019). Combinations of Qualitative Winning
for Stochastic Parity Games (Vol. 140). Presented at the CONCUR: International
Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.6'
chicago: Chatterjee, Krishnendu, and Nir Piterman. “Combinations of Qualitative
Winning for Stochastic Parity Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.6.
ieee: 'K. Chatterjee and N. Piterman, “Combinations of Qualitative Winning for Stochastic
Parity Games,” presented at the CONCUR: International Conference on Concurrency
Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Chatterjee K, Piterman N. 2019. Combinations of Qualitative Winning for Stochastic
Parity Games. CONCUR: International Conference on Concurrency Theory, LIPIcs,
vol. 140, 6.'
mla: Chatterjee, Krishnendu, and Nir Piterman. Combinations of Qualitative Winning
for Stochastic Parity Games. Vol. 140, 6, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.6.
short: K. Chatterjee, N. Piterman, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:11:43Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:09:28Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.6
file:
- access_level: open_access
checksum: 7b2ecfd4d9d02360308c0ca986fc10a7
content_type: application/pdf
creator: kschuh
date_created: 2019-10-01T08:49:45Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6923'
file_name: 2019_LIPIcs_Chatterjee.pdf
file_size: 509163
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Combinations of Qualitative Winning for Stochastic Parity Games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 140
year: '2019'
...
---
_id: '6931'
abstract:
- lang: eng
text: "Consider a distributed system with n processors out of which f can be Byzantine
faulty. In the\r\napproximate agreement task, each processor i receives an input
value xi and has to decide on an\r\noutput value yi such that\r\n1. the output
values are in the convex hull of the non-faulty processors’ input values,\r\n2.
the output values are within distance d of each other.\r\n\r\n\r\nClassically,
the values are assumed to be from an m-dimensional Euclidean space, where m ≥
1.\r\nIn this work, we study the task in a discrete setting, where input values
with some structure\r\nexpressible as a graph. Namely, the input values are vertices
of a finite graph G and the goal is to\r\noutput vertices that are within distance
d of each other in G, but still remain in the graph-induced\r\nconvex hull of
the input values. For d = 0, the task reduces to consensus and cannot be solved
with\r\na deterministic algorithm in an asynchronous system even with a single
crash fault. For any d ≥ 1,\r\nwe show that the task is solvable in asynchronous
systems when G is chordal and n > (ω + 1)f,\r\nwhere ω is the clique number of
G. In addition, we give the first Byzantine-tolerant algorithm for a\r\nvariant
of lattice agreement. For synchronous systems, we show tight resilience bounds
for the exact\r\nvariants of these and related tasks over a large class of combinatorial
structures."
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Thomas
full_name: Nowak, Thomas
last_name: Nowak
- first_name: Joel
full_name: Rybicki, Joel
id: 334EFD2E-F248-11E8-B48F-1D18A9856A87
last_name: Rybicki
orcid: 0000-0002-6432-6646
citation:
ama: 'Nowak T, Rybicki J. Byzantine approximate agreement on graphs. In: 33rd
International Symposium on Distributed Computing. Vol 146. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2019:29:1--29:17. doi:10.4230/LIPICS.DISC.2019.29'
apa: 'Nowak, T., & Rybicki, J. (2019). Byzantine approximate agreement on graphs.
In 33rd International Symposium on Distributed Computing (Vol. 146, p.
29:1--29:17). Budapest, Hungary: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPICS.DISC.2019.29'
chicago: Nowak, Thomas, and Joel Rybicki. “Byzantine Approximate Agreement on Graphs.”
In 33rd International Symposium on Distributed Computing, 146:29:1--29:17.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.DISC.2019.29.
ieee: T. Nowak and J. Rybicki, “Byzantine approximate agreement on graphs,” in 33rd
International Symposium on Distributed Computing, Budapest, Hungary, 2019,
vol. 146, p. 29:1--29:17.
ista: 'Nowak T, Rybicki J. 2019. Byzantine approximate agreement on graphs. 33rd
International Symposium on Distributed Computing. DISC: International Symposium
on Distributed Computing, LIPIcs, vol. 146, 29:1--29:17.'
mla: Nowak, Thomas, and Joel Rybicki. “Byzantine Approximate Agreement on Graphs.”
33rd International Symposium on Distributed Computing, vol. 146, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 29:1--29:17, doi:10.4230/LIPICS.DISC.2019.29.
short: T. Nowak, J. Rybicki, in:, 33rd International Symposium on Distributed Computing,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 29:1--29:17.
conference:
end_date: 2019-10-18
location: Budapest, Hungary
name: 'DISC: International Symposium on Distributed Computing'
start_date: 2019-10-14
date_created: 2019-10-08T12:41:38Z
date_published: 2019-01-01T00:00:00Z
date_updated: 2021-01-12T08:09:38Z
ddc:
- '004'
department:
- _id: DaAl
doi: 10.4230/LIPICS.DISC.2019.29
ec_funded: 1
external_id:
arxiv:
- '1908.02743'
file:
- access_level: open_access
checksum: 2d2202f90c6ac991e50876451627c4b5
content_type: application/pdf
creator: jrybicki
date_created: 2019-10-08T12:47:19Z
date_updated: 2020-07-14T12:47:44Z
file_id: '6934'
file_name: LIPIcs-DISC-2019-29.pdf
file_size: 639378
relation: main_file
file_date_updated: 2020-07-14T12:47:44Z
has_accepted_license: '1'
intvolume: ' 146'
keyword:
- consensus
- approximate agreement
- Byzantine faults
- chordal graphs
- lattice agreement
language:
- iso: eng
oa: 1
oa_version: Published Version
page: 29:1--29:17
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 33rd International Symposium on Distributed Computing
publication_identifier:
eisbn:
- 978-3-95977-126-9
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Byzantine approximate agreement on graphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 146
year: '2019'
...
---
_id: '6985'
abstract:
- lang: eng
text: In this paper, we introduce a novel method to interpret recurrent neural networks
(RNNs), particularly long short-term memory networks (LSTMs) at the cellular level.
We propose a systematic pipeline for interpreting individual hidden state dynamics
within the network using response characterization methods. The ranked contribution
of individual cells to the network's output is computed by analyzing a set of
interpretable metrics of their decoupled step and sinusoidal responses. As a result,
our method is able to uniquely identify neurons with insightful dynamics, quantify
relationships between dynamical properties and test accuracy through ablation
analysis, and interpret the impact of network capacity on a network's dynamical
distribution. Finally, we demonstrate the generalizability and scalability of
our method by evaluating a series of different benchmark sequential datasets.
article_number: '8851954'
author:
- first_name: Ramin
full_name: Hasani, Ramin
last_name: Hasani
- first_name: Alexander
full_name: Amini, Alexander
last_name: Amini
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Felix
full_name: Naser, Felix
last_name: Naser
- first_name: Radu
full_name: Grosu, Radu
last_name: Grosu
- first_name: Daniela
full_name: Rus, Daniela
last_name: Rus
citation:
ama: 'Hasani R, Amini A, Lechner M, Naser F, Grosu R, Rus D. Response characterization
for auditing cell dynamics in long short-term memory networks. In: Proceedings
of the International Joint Conference on Neural Networks. IEEE; 2019. doi:10.1109/ijcnn.2019.8851954'
apa: 'Hasani, R., Amini, A., Lechner, M., Naser, F., Grosu, R., & Rus, D. (2019).
Response characterization for auditing cell dynamics in long short-term memory
networks. In Proceedings of the International Joint Conference on Neural Networks.
Budapest, Hungary: IEEE. https://doi.org/10.1109/ijcnn.2019.8851954'
chicago: Hasani, Ramin, Alexander Amini, Mathias Lechner, Felix Naser, Radu Grosu,
and Daniela Rus. “Response Characterization for Auditing Cell Dynamics in Long
Short-Term Memory Networks.” In Proceedings of the International Joint Conference
on Neural Networks. IEEE, 2019. https://doi.org/10.1109/ijcnn.2019.8851954.
ieee: R. Hasani, A. Amini, M. Lechner, F. Naser, R. Grosu, and D. Rus, “Response
characterization for auditing cell dynamics in long short-term memory networks,”
in Proceedings of the International Joint Conference on Neural Networks,
Budapest, Hungary, 2019.
ista: 'Hasani R, Amini A, Lechner M, Naser F, Grosu R, Rus D. 2019. Response characterization
for auditing cell dynamics in long short-term memory networks. Proceedings of
the International Joint Conference on Neural Networks. IJCNN: International Joint
Conference on Neural Networks, 8851954.'
mla: Hasani, Ramin, et al. “Response Characterization for Auditing Cell Dynamics
in Long Short-Term Memory Networks.” Proceedings of the International Joint
Conference on Neural Networks, 8851954, IEEE, 2019, doi:10.1109/ijcnn.2019.8851954.
short: R. Hasani, A. Amini, M. Lechner, F. Naser, R. Grosu, D. Rus, in:, Proceedings
of the International Joint Conference on Neural Networks, IEEE, 2019.
conference:
end_date: 2019-07-19
location: Budapest, Hungary
name: 'IJCNN: International Joint Conference on Neural Networks'
start_date: 2019-07-14
date_created: 2019-11-04T15:59:58Z
date_published: 2019-09-30T00:00:00Z
date_updated: 2021-01-12T08:11:19Z
day: '30'
department:
- _id: ToHe
doi: 10.1109/ijcnn.2019.8851954
external_id:
arxiv:
- '1809.03864'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1809.03864
month: '09'
oa: 1
oa_version: Preprint
publication: Proceedings of the International Joint Conference on Neural Networks
publication_identifier:
isbn:
- '9781728119854'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: 1
status: public
title: Response characterization for auditing cell dynamics in long short-term memory
networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '7007'
abstract:
- lang: eng
text: 'We consider the primitive relay channel, where the source sends a message
to the relay and to the destination, and the relay helps the communication by
transmitting an additional message to the destination via a separate channel.
Two well-known coding techniques have been introduced for this setting: decode-and-forward
and compress-and-forward. In decode-and-forward, the relay completely decodes
the message and sends some information to the destination; in compress-and-forward,
the relay does not decode, and it sends a compressed version of the received signal
to the destination using Wyner–Ziv coding. In this paper, we present a novel coding
paradigm that provides an improved achievable rate for the primitive relay channel.
The idea is to combine compress-and-forward and decode-and-forward via a chaining
construction. We transmit over pairs of blocks: in the first block, we use compress-and-forward;
and, in the second block, we use decode-and-forward. More specifically, in the
first block, the relay does not decode, it compresses the received signal via
Wyner–Ziv, and it sends only part of the compression to the destination. In the
second block, the relay completely decodes the message, it sends some information
to the destination, and it also sends the remaining part of the compression coming
from the first block. By doing so, we are able to strictly outperform both compress-and-forward
and decode-and-forward. Note that the proposed coding scheme can be implemented
with polar codes. As such, it has the typical attractive properties of polar coding
schemes, namely, quasi-linear encoding and decoding complexity, and error probability
that decays at super-polynomial speed. As a running example, we take into account
the special case of the erasure relay channel, and we provide a comparison between
the rates achievable by our proposed scheme and the existing upper and lower bounds.'
article_number: '218'
article_type: original
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: S. Hamed
full_name: Hassani, S. Hamed
last_name: Hassani
- first_name: Rüdiger
full_name: Urbanke, Rüdiger
last_name: Urbanke
citation:
ama: Mondelli M, Hassani SH, Urbanke R. A new coding paradigm for the primitive
relay channel. Algorithms. 2019;12(10). doi:10.3390/a12100218
apa: Mondelli, M., Hassani, S. H., & Urbanke, R. (2019). A new coding paradigm
for the primitive relay channel. Algorithms. MDPI. https://doi.org/10.3390/a12100218
chicago: Mondelli, Marco, S. Hamed Hassani, and Rüdiger Urbanke. “A New Coding Paradigm
for the Primitive Relay Channel.” Algorithms. MDPI, 2019. https://doi.org/10.3390/a12100218.
ieee: M. Mondelli, S. H. Hassani, and R. Urbanke, “A new coding paradigm for the
primitive relay channel,” Algorithms, vol. 12, no. 10. MDPI, 2019.
ista: Mondelli M, Hassani SH, Urbanke R. 2019. A new coding paradigm for the primitive
relay channel. Algorithms. 12(10), 218.
mla: Mondelli, Marco, et al. “A New Coding Paradigm for the Primitive Relay Channel.”
Algorithms, vol. 12, no. 10, 218, MDPI, 2019, doi:10.3390/a12100218.
short: M. Mondelli, S.H. Hassani, R. Urbanke, Algorithms 12 (2019).
date_created: 2019-11-12T14:46:19Z
date_published: 2019-10-18T00:00:00Z
date_updated: 2023-02-23T12:49:28Z
day: '18'
ddc:
- '510'
department:
- _id: MaMo
doi: 10.3390/a12100218
external_id:
arxiv:
- '1801.03153'
file:
- access_level: open_access
checksum: 267756d8f9db572f496cd1663c89d59a
content_type: application/pdf
creator: dernst
date_created: 2019-11-12T14:48:45Z
date_updated: 2020-07-14T12:47:47Z
file_id: '7008'
file_name: 2019_Algorithms_Mondelli.pdf
file_size: 696791
relation: main_file
file_date_updated: 2020-07-14T12:47:47Z
has_accepted_license: '1'
intvolume: ' 12'
issue: '10'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: Algorithms
publication_identifier:
issn:
- 1999-4893
publication_status: published
publisher: MDPI
quality_controlled: '1'
related_material:
record:
- id: '6675'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: A new coding paradigm for the primitive relay channel
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image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2019'
...