---
_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'
...