---
_id: '3270'
abstract:
- lang: eng
text: 'The persistence diagram of a filtered simplicial com- plex is usually computed
by reducing the boundary matrix of the complex. We introduce a simple op- timization
technique: by processing the simplices of the complex in decreasing dimension,
we can “kill” columns (i.e., set them to zero) without reducing them. This technique
completely avoids reduction on roughly half of the columns. We demonstrate that
this idea significantly improves the running time of the reduction algorithm in
practice. We also give an output-sensitive complexity analysis for the new al-
gorithm which yields to sub-cubic asymptotic bounds under certain assumptions.'
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
citation:
ama: 'Chen C, Kerber M. Persistent homology computation with a twist. In: TU Dortmund;
2011:197-200.'
apa: 'Chen, C., & Kerber, M. (2011). Persistent homology computation with a
twist (pp. 197–200). Presented at the EuroCG: European Workshop on Computational
Geometry, Morschach, Switzerland: TU Dortmund.'
chicago: Chen, Chao, and Michael Kerber. “Persistent Homology Computation with a
Twist,” 197–200. TU Dortmund, 2011.
ieee: 'C. Chen and M. Kerber, “Persistent homology computation with a twist,” presented
at the EuroCG: European Workshop on Computational Geometry, Morschach, Switzerland,
2011, pp. 197–200.'
ista: 'Chen C, Kerber M. 2011. Persistent homology computation with a twist. EuroCG:
European Workshop on Computational Geometry, 197–200.'
mla: Chen, Chao, and Michael Kerber. Persistent Homology Computation with a Twist.
TU Dortmund, 2011, pp. 197–200.
short: C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
conference:
end_date: 2011-03-30
location: Morschach, Switzerland
name: 'EuroCG: European Workshop on Computational Geometry'
start_date: 2011-03-28
date_created: 2018-12-11T12:02:22Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:17Z
day: '01'
department:
- _id: HeEd
language:
- iso: eng
month: '01'
oa_version: None
page: 197 - 200
publication_status: published
publisher: TU Dortmund
publist_id: '3376'
quality_controlled: '1'
status: public
title: Persistent homology computation with a twist
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3298'
abstract:
- lang: eng
text: We present a new algorithm for enforcing incompressibility for Smoothed Particle
Hydrodynamics (SPH) by preserving uniform density across the domain. We propose
a hybrid method that uses a Poisson solve on a coarse grid to enforce a divergence
free velocity field, followed by a local density correction of the particles. This
avoids typical grid artifacts and maintains the Lagrangian nature of SPH by directly
transferring pressures onto particles. Our method can be easily integrated with
existing SPH techniques such as the incompressible PCISPH method as well as weakly
compressible SPH by adding an additional force term. We show that this hybrid
method accelerates convergence towards uniform density and permits a significantly
larger time step compared to earlier approaches while producing similar results.
We demonstrate our approach in a variety of scenarios with significant pressure
gradients such as splashing liquids.
author:
- first_name: Karthik
full_name: Raveendran, Karthik
last_name: Raveendran
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
- first_name: Greg
full_name: Turk, Greg
last_name: Turk
citation:
ama: 'Raveendran K, Wojtan C, Turk G. Hybrid smoothed particle hydrodynamics. In:
Spencer S, ed. ACM; 2011:33-42. doi:10.1145/2019406.2019411'
apa: 'Raveendran, K., Wojtan, C., & Turk, G. (2011). Hybrid smoothed particle
hydrodynamics. In S. Spencer (Ed.) (pp. 33–42). Presented at the SCA: ACM SIGGRAPH/Eurographics
Symposium on Computer animation, Vancouver, Canada: ACM. https://doi.org/10.1145/2019406.2019411'
chicago: Raveendran, Karthik, Chris Wojtan, and Greg Turk. “Hybrid Smoothed Particle
Hydrodynamics.” edited by Stephen Spencer, 33–42. ACM, 2011. https://doi.org/10.1145/2019406.2019411.
ieee: 'K. Raveendran, C. Wojtan, and G. Turk, “Hybrid smoothed particle hydrodynamics,”
presented at the SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation,
Vancouver, Canada, 2011, pp. 33–42.'
ista: 'Raveendran K, Wojtan C, Turk G. 2011. Hybrid smoothed particle hydrodynamics.
SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation, 33–42.'
mla: Raveendran, Karthik, et al. Hybrid Smoothed Particle Hydrodynamics.
Edited by Stephen Spencer, ACM, 2011, pp. 33–42, doi:10.1145/2019406.2019411.
short: K. Raveendran, C. Wojtan, G. Turk, in:, S. Spencer (Ed.), ACM, 2011, pp.
33–42.
conference:
end_date: 2011-08-07
location: Vancouver, Canada
name: 'SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation'
start_date: 2011-08-05
date_created: 2018-12-11T12:02:32Z
date_published: 2011-08-05T00:00:00Z
date_updated: 2023-02-23T11:21:05Z
day: '05'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2019406.2019411
editor:
- first_name: Stephen
full_name: Spencer, Stephen
last_name: Spencer
file:
- access_level: open_access
checksum: 6579d27709946e0eefbfa60a456b4913
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:44Z
date_updated: 2020-07-14T12:46:06Z
file_id: '4769'
file_name: IST-2016-598-v1+1_HybridSPH_Preprint.pdf
file_size: 2536216
relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 33 - 42
publication_status: published
publisher: ACM
publist_id: '3343'
pubrep_id: '598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Hybrid smoothed particle hydrodynamics
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3297'
abstract:
- lang: eng
text: "Animating detailed liquid surfaces has always been a challenge for computer
graphics researchers and visual effects artists. Over the past few years, researchers
in this field have focused on mesh-based surface tracking to synthesize extremely
detailed liquid surfaces as efficiently as possible. This course provides a solid
understanding of the steps required to create a fluid simulator with a mesh-based
liquid surface.\r\n\r\nThe course begins with an overview of several existing
liquid-surface-tracking techniques and the pros and cons of each method. Then
it explains how to embed a triangle mesh into a finite-difference-based fluid
simulator and describes several methods for allowing the liquid surface to merge
together or break apart. The final section showcases the benefits and further
applications of a mesh-based liquid surface, highlighting state-of-the-art methods
for tracking colors and textures, maintaining liquid volume, preserving small
surface features, and simulating realistic surface-tension waves."
article_number: '8'
author:
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
- first_name: Matthias
full_name: Müller Fischer, Matthias
last_name: Müller Fischer
- first_name: Tyson
full_name: Brochu, Tyson
last_name: Brochu
citation:
ama: 'Wojtan C, Müller Fischer M, Brochu T. Liquid simulation with mesh-based surface
tracking. In: ACM; 2011. doi:10.1145/2037636.2037644'
apa: 'Wojtan, C., Müller Fischer, M., & Brochu, T. (2011). Liquid simulation
with mesh-based surface tracking. Presented at the SIGGRAPH: Special Interest
Group on Computer Graphics and Interactive Techniques, Vancouver, BC, Canada:
ACM. https://doi.org/10.1145/2037636.2037644'
chicago: Wojtan, Chris, Matthias Müller Fischer, and Tyson Brochu. “Liquid Simulation
with Mesh-Based Surface Tracking.” ACM, 2011. https://doi.org/10.1145/2037636.2037644.
ieee: 'C. Wojtan, M. Müller Fischer, and T. Brochu, “Liquid simulation with mesh-based
surface tracking,” presented at the SIGGRAPH: Special Interest Group on Computer
Graphics and Interactive Techniques, Vancouver, BC, Canada, 2011.'
ista: 'Wojtan C, Müller Fischer M, Brochu T. 2011. Liquid simulation with mesh-based
surface tracking. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
Techniques, 8.'
mla: Wojtan, Chris, et al. Liquid Simulation with Mesh-Based Surface Tracking.
8, ACM, 2011, doi:10.1145/2037636.2037644.
short: C. Wojtan, M. Müller Fischer, T. Brochu, in:, ACM, 2011.
conference:
end_date: 2011-08-11
location: Vancouver, BC, Canada
name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
start_date: 2011-08-07
date_created: 2018-12-11T12:02:31Z
date_published: 2011-08-07T00:00:00Z
date_updated: 2023-02-23T11:21:02Z
day: '07'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2037636.2037644
file:
- access_level: open_access
checksum: 8d508ad7c82f50978acbaa4170ee0a75
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:34Z
date_updated: 2020-07-14T12:46:06Z
file_id: '5018'
file_name: IST-2016-599-v1+1_meshyFluidsCourseSIGGRAPH2011.pdf
file_size: 34672096
relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication_status: published
publisher: ACM
publist_id: '3344'
pubrep_id: '599'
quality_controlled: '1'
scopus_import: 1
status: public
title: Liquid simulation with mesh-based surface tracking
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3290'
abstract:
- lang: eng
text: 'Analysis of genomic data requires an efficient way to calculate likelihoods
across very large numbers of loci. We describe a general method for finding the
distribution of genealogies: we allow migration between demes, splitting of demes
[as in the isolation-with-migration (IM) model], and recombination between linked
loci. These processes are described by a set of linear recursions for the generating
function of branch lengths. Under the infinite-sites model, the probability of
any configuration of mutations can be found by differentiating this generating
function. Such calculations are feasible for small numbers of sampled genomes:
as an example, we show how the generating function can be derived explicitly for
three genes under the two-deme IM model. This derivation is done automatically,
using Mathematica. Given data from a large number of unlinked and nonrecombining
blocks of sequence, these results can be used to find maximum-likelihood estimates
of model parameters by tabulating the probabilities of all relevant mutational
configurations and then multiplying across loci. The feasibility of the method
is demonstrated by applying it to simulated data and to a data set previously
analyzed by Wang and Hey (2010) consisting of 26,141 loci sampled from Drosophila
simulans and D. melanogaster. Our results suggest that such likelihood calculations
are scalable to genomic data as long as the numbers of sampled individuals and
mutations per sequence block are small.'
author:
- first_name: Konrad
full_name: Lohse, Konrad
last_name: Lohse
- first_name: Richard
full_name: Harrison, Richard
last_name: Harrison
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
citation:
ama: Lohse K, Harrison R, Barton NH. A general method for calculating likelihoods
under the coalescent process. Genetics. 2011;189(3):977-987. doi:10.1534/genetics.111.129569
apa: Lohse, K., Harrison, R., & Barton, N. H. (2011). A general method for calculating
likelihoods under the coalescent process. Genetics. Genetics Society of
America. https://doi.org/10.1534/genetics.111.129569
chicago: Lohse, Konrad, Richard Harrison, and Nicholas H Barton. “A General Method
for Calculating Likelihoods under the Coalescent Process.” Genetics. Genetics
Society of America, 2011. https://doi.org/10.1534/genetics.111.129569.
ieee: K. Lohse, R. Harrison, and N. H. Barton, “A general method for calculating
likelihoods under the coalescent process,” Genetics, vol. 189, no. 3. Genetics
Society of America, pp. 977–987, 2011.
ista: Lohse K, Harrison R, Barton NH. 2011. A general method for calculating likelihoods
under the coalescent process. Genetics. 189(3), 977–987.
mla: Lohse, Konrad, et al. “A General Method for Calculating Likelihoods under the
Coalescent Process.” Genetics, vol. 189, no. 3, Genetics Society of America,
2011, pp. 977–87, doi:10.1534/genetics.111.129569.
short: K. Lohse, R. Harrison, N.H. Barton, Genetics 189 (2011) 977–987.
date_created: 2018-12-11T12:02:29Z
date_published: 2011-11-01T00:00:00Z
date_updated: 2021-01-12T07:42:26Z
day: '01'
department:
- _id: NiBa
doi: 10.1534/genetics.111.129569
ec_funded: 1
intvolume: ' 189'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3213358/
month: '11'
oa: 1
oa_version: Submitted Version
page: 977 - 987
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '250152'
name: Limits to selection in biology and in evolutionary computation
publication: Genetics
publication_status: published
publisher: Genetics Society of America
publist_id: '3355'
quality_controlled: '1'
scopus_import: 1
status: public
title: A general method for calculating likelihoods under the coalescent process
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 189
year: '2011'
...
---
_id: '3312'
abstract:
- lang: eng
text: We study the 3D reconstruction of plant roots from multiple 2D images. To
meet the challenge caused by the delicate nature of thin branches, we make three
innovations to cope with the sensitivity to image quality and calibration. First,
we model the background as a harmonic function to improve the segmentation of
the root in each 2D image. Second, we develop the concept of the regularized visual
hull which reduces the effect of jittering and refraction by ensuring consistency
with one 2D image. Third, we guarantee connectedness through adjustments to the
3D reconstruction that minimize global error. Our software is part of a biological
phenotype/genotype study of agricultural root systems. It has been tested on more
than 40 plant roots and results are promising in terms of reconstruction quality
and efficiency.
acknowledgement: This research is supported by the National Science Foundation (NSF)
under grant DBI-0820624.
article_number: '6126475'
article_processing_charge: No
author:
- first_name: Ying
full_name: Zheng, Ying
last_name: Zheng
- first_name: Steve
full_name: Gu, Steve
last_name: Gu
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Carlo
full_name: Tomasi, Carlo
last_name: Tomasi
- first_name: Philip
full_name: Benfey, Philip
last_name: Benfey
citation:
ama: Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. Detailed Reconstruction
of 3D Plant Root Shape. IEEE; 2011. doi:10.1109/ICCV.2011.6126475
apa: 'Zheng, Y., Gu, S., Edelsbrunner, H., Tomasi, C., & Benfey, P. (2011).
Detailed reconstruction of 3D plant root shape. Proceedings of the IEEE
International Conference on Computer Vision. Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126475'
chicago: Zheng, Ying, Steve Gu, Herbert Edelsbrunner, Carlo Tomasi, and Philip Benfey.
Detailed Reconstruction of 3D Plant Root Shape. Proceedings of the IEEE
International Conference on Computer Vision. IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126475.
ieee: Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, and P. Benfey, Detailed reconstruction
of 3D plant root shape. IEEE, 2011.
ista: Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. 2011. Detailed reconstruction
of 3D plant root shape, IEEE,p.
mla: Zheng, Ying, et al. “Detailed Reconstruction of 3D Plant Root Shape.” Proceedings
of the IEEE International Conference on Computer Vision, 6126475, IEEE, 2011,
doi:10.1109/ICCV.2011.6126475.
short: Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, P. Benfey, Detailed Reconstruction
of 3D Plant Root Shape, IEEE, 2011.
conference:
end_date: 2011-11-13
location: Barcelona, Spain
name: 'ICCV: International Conference on Computer Vision'
start_date: 2011-11-06
date_created: 2018-12-11T12:02:36Z
date_published: 2011-12-31T00:00:00Z
date_updated: 2020-07-14T23:03:43Z
day: '31'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1109/ICCV.2011.6126475
file:
- access_level: open_access
checksum: 30a33564b7b45a7ee31610898267fd0e
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:04Z
date_updated: 2020-07-14T12:46:07Z
file_id: '4727'
file_name: IST-2016-541-v1+1_2011-P-07-RootReconstruction.pdf
file_size: 5622728
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
publication: Proceedings of the IEEE International Conference on Computer Vision
publication_status: published
publisher: IEEE
publist_id: '3328'
pubrep_id: '541'
quality_controlled: '1'
status: public
title: Detailed reconstruction of 3D plant root shape
type: conference_poster
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3313'
abstract:
- lang: eng
text: Interpreting an image as a function on a compact sub- set of the Euclidean
plane, we get its scale-space by diffu- sion, spreading the image over the entire
plane. This gener- ates a 1-parameter family of functions alternatively defined
as convolutions with a progressively wider Gaussian ker- nel. We prove that the
corresponding 1-parameter family of persistence diagrams have norms that go rapidly
to zero as time goes to infinity. This result rationalizes experimental observations
about scale-space. We hope this will lead to targeted improvements of related
computer vision methods.
article_number: '6126271'
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
citation:
ama: 'Chen C, Edelsbrunner H. Diffusion runs low on persistence fast. In: Proceedings
of the IEEE International Conference on Computer Vision. IEEE; 2011. doi:10.1109/ICCV.2011.6126271'
apa: 'Chen, C., & Edelsbrunner, H. (2011). Diffusion runs low on persistence
fast. In Proceedings of the IEEE International Conference on Computer Vision.
Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126271'
chicago: Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence
Fast.” In Proceedings of the IEEE International Conference on Computer Vision.
IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126271.
ieee: C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in
Proceedings of the IEEE International Conference on Computer Vision, Barcelona,
Spain, 2011.
ista: 'Chen C, Edelsbrunner H. 2011. Diffusion runs low on persistence fast. Proceedings
of the IEEE International Conference on Computer Vision. ICCV: International Conference
on Computer Vision, 6126271.'
mla: Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.”
Proceedings of the IEEE International Conference on Computer Vision, 6126271,
IEEE, 2011, doi:10.1109/ICCV.2011.6126271.
short: C. Chen, H. Edelsbrunner, in:, Proceedings of the IEEE International Conference
on Computer Vision, IEEE, 2011.
conference:
end_date: 2011-11-13
location: Barcelona, Spain
name: 'ICCV: International Conference on Computer Vision'
start_date: 2011-11-06
date_created: 2018-12-11T12:02:37Z
date_published: 2011-11-06T00:00:00Z
date_updated: 2021-01-12T07:42:35Z
day: '06'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1109/ICCV.2011.6126271
file:
- access_level: open_access
checksum: 6984684081ba123808b344f9f2e64a8f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:28Z
date_updated: 2020-07-14T12:46:07Z
file_id: '5282'
file_name: IST-2016-540-v1+1_2011-P-08-RunEmpty.pdf
file_size: 614050
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
publication: Proceedings of the IEEE International Conference on Computer Vision
publication_status: published
publisher: IEEE
publist_id: '3327'
pubrep_id: '540'
quality_controlled: '1'
scopus_import: 1
status: public
title: Diffusion runs low on persistence fast
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3311'
abstract:
- lang: eng
text: Alpha shapes have been conceived in 1981 as an attempt to define the shape
of a finite set of point in the plane. Since then, connections to diverse areas
in the sciences and engineering have developed, including to pattern recognition,
digital shape sampling and processing, and structural molecular biology. This
survey begins with a historical account and discusses geometric, algorithmic,
topological, and combinatorial aspects of alpha shapes in this sequence.
article_processing_charge: No
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
citation:
ama: 'Edelsbrunner H. Alpha shapes - a survey. In: van de Weygaert R, Vegter G,
Ritzerveld J, Icke V, eds. Tessellations in the Sciences: Virtues, Techniques
and Applications of Geometric Tilings. Springer.'
apa: 'Edelsbrunner, H. (n.d.). Alpha shapes - a survey. In R. van de Weygaert, G.
Vegter, J. Ritzerveld, & V. Icke (Eds.), Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings. Springer.'
chicago: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In Tessellations
in the Sciences: Virtues, Techniques and Applications of Geometric Tilings,
edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d.'
ieee: 'H. Edelsbrunner, “Alpha shapes - a survey,” in Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings, R. van de Weygaert,
G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer.'
ista: 'Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings. .'
mla: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” Tessellations in the
Sciences: Virtues, Techniques and Applications of Geometric Tilings, edited
by R van de Weygaert et al., Springer.'
short: 'H. Edelsbrunner, in:, R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke
(Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of
Geometric Tilings, Springer, n.d.'
date_created: 2018-12-11T12:02:36Z
date_published: 2011-12-31T00:00:00Z
date_updated: 2022-05-24T07:56:30Z
day: '31'
ddc:
- '510'
department:
- _id: HeEd
editor:
- first_name: R
full_name: van de Weygaert, R
last_name: van de Weygaert
- first_name: G
full_name: Vegter, G
last_name: Vegter
- first_name: J
full_name: Ritzerveld, J
last_name: Ritzerveld
- first_name: V
full_name: Icke, V
last_name: Icke
file:
- access_level: open_access
checksum: a592ea438351e7280eea993a7713ab8f
content_type: application/pdf
creator: dernst
date_created: 2022-05-24T07:55:05Z
date_updated: 2022-05-24T07:55:05Z
file_id: '11408'
file_name: 2010_AlphaShapes.pdf
file_size: 475254
relation: main_file
success: 1
file_date_updated: 2022-05-24T07:55:05Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
publication: 'Tessellations in the Sciences: Virtues, Techniques and Applications
of Geometric Tilings'
publication_status: inpress
publisher: Springer
publist_id: '3329'
quality_controlled: '1'
status: public
title: Alpha shapes - a survey
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3326'
abstract:
- lang: eng
text: 'Weighted automata map input words to numerical values. Ap- plications of
weighted automata include formal verification of quantitative properties, as well
as text, speech, and image processing. A weighted au- tomaton is defined with
respect to a semiring. For the tropical semiring, the weight of a run is the sum
of the weights of the transitions taken along the run, and the value of a word
is the minimal weight of an accepting run on it. In the 90’s, Krob studied the
decidability of problems on rational series defined with respect to the tropical
semiring. Rational series are strongly related to weighted automata, and Krob’s
results apply to them. In par- ticular, it follows from Krob’s results that the
universality problem (that is, deciding whether the values of all words are below
some threshold) is decidable for weighted automata defined with respect to the
tropical semir- ing with domain ∪ {∞}, and that the equality problem is undecidable
when the domain is ∪ {∞}. In this paper we continue the study of the borders of
decidability in weighted automata, describe alternative and direct proofs of the
above results, and tighten them further. Unlike the proofs of Krob, which are
algebraic in their nature, our proofs stay in the terrain of state machines, and
the reduction is from the halting problem of a two-counter machine. This enables
us to significantly simplify Krob’s reasoning, make the un- decidability result
accessible to the automata-theoretic community, and strengthen it to apply already
to a very simple class of automata: all the states are accepting, there are no
initial nor final weights, and all the weights on the transitions are from the
set {−1, 0, 1}. The fact we work directly with the automata enables us to tighten
also the decidability re- sults and to show that the universality problem for
weighted automata defined with respect to the tropical semiring with domain ∪
{∞}, and in fact even with domain ≥0 ∪ {∞}, is PSPACE-complete. Our results thus
draw a sharper picture about the decidability of decision problems for weighted
automata, in both the front of containment vs. universality and the front of the
∪ {∞} vs. the ∪ {∞} domains.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Shaull
full_name: Almagor, Shaull
last_name: Almagor
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Almagor S, Boker U, Kupferman O. What’s decidable about weighted automata
. In: Vol 6996. Springer; 2011:482-491. doi:10.1007/978-3-642-24372-1_37'
apa: 'Almagor, S., Boker, U., & Kupferman, O. (2011). What’s decidable about
weighted automata (Vol. 6996, pp. 482–491). Presented at the ATVA: Automated
Technology for Verification and Analysis, Taipei, Taiwan: Springer. https://doi.org/10.1007/978-3-642-24372-1_37'
chicago: Almagor, Shaull, Udi Boker, and Orna Kupferman. “What’s Decidable about
Weighted Automata ,” 6996:482–91. Springer, 2011. https://doi.org/10.1007/978-3-642-24372-1_37.
ieee: 'S. Almagor, U. Boker, and O. Kupferman, “What’s decidable about weighted
automata ,” presented at the ATVA: Automated Technology for Verification and Analysis,
Taipei, Taiwan, 2011, vol. 6996, pp. 482–491.'
ista: 'Almagor S, Boker U, Kupferman O. 2011. What’s decidable about weighted automata
. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 6996, 482–491.'
mla: Almagor, Shaull, et al. What’s Decidable about Weighted Automata . Vol.
6996, Springer, 2011, pp. 482–91, doi:10.1007/978-3-642-24372-1_37.
short: S. Almagor, U. Boker, O. Kupferman, in:, Springer, 2011, pp. 482–491.
conference:
end_date: 2011-10-14
location: Taipei, Taiwan
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2011-10-11
date_created: 2018-12-11T12:02:41Z
date_published: 2011-10-14T00:00:00Z
date_updated: 2021-01-12T07:42:40Z
day: '14'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-642-24372-1_37
file:
- access_level: open_access
checksum: a7ca08a2cb1b6925f4c18a3034ae5659
content_type: application/pdf
creator: dernst
date_created: 2020-05-19T16:08:32Z
date_updated: 2020-07-14T12:46:07Z
file_id: '7868'
file_name: 2011_LNCS_Almagor.pdf
file_size: 182309
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
intvolume: ' 6996'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 482 - 491
publication_status: published
publisher: Springer
publist_id: '3309'
quality_controlled: '1'
status: public
title: 'What’s decidable about weighted automata '
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6996
year: '2011'
...
---
_id: '3325'
abstract:
- lang: eng
text: We introduce streaming data string transducers that map input data strings
to output data strings in a single left-to-right pass in linear time. Data strings
are (unbounded) sequences of data values, tagged with symbols from a finite set,
over a potentially infinite data do- main that supports only the operations of
equality and ordering. The transducer uses a finite set of states, a finite set
of variables ranging over the data domain, and a finite set of variables ranging
over data strings. At every step, it can make decisions based on the next in-
put symbol, updating its state, remembering the input data value in its data variables,
and updating data-string variables by concatenat- ing data-string variables and
new symbols formed from data vari- ables, while avoiding duplication. We establish
that the problems of checking functional equivalence of two streaming transducers,
and of checking whether a streaming transducer satisfies pre/post verification
conditions specified by streaming acceptors over in- put/output data-strings,
are in PSPACE. We identify a class of imperative and a class of functional pro-
grams, manipulating lists of data items, which can be effectively translated to
streaming data-string transducers. The imperative pro- grams dynamically modify
a singly-linked heap by changing next- pointers of heap-nodes and by adding new
nodes. The main re- striction specifies how the next-pointers can be used for
traversal. We also identify an expressively equivalent fragment of functional
programs that traverse a list using syntactically restricted recursive calls.
Our results lead to algorithms for assertion checking and for checking functional
equivalence of two programs, written possibly in different programming styles,
for commonly used routines such as insert, delete, and reverse.
article_processing_charge: No
author:
- first_name: Rajeev
full_name: Alur, Rajeev
last_name: Alur
- first_name: Pavol
full_name: Cerny, Pavol
id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
last_name: Cerny
citation:
ama: 'Alur R, Cerny P. Streaming transducers for algorithmic verification of single
pass list processing programs. In: Vol 46. ACM; 2011:599-610. doi:10.1145/1926385.1926454'
apa: 'Alur, R., & Cerny, P. (2011). Streaming transducers for algorithmic verification
of single pass list processing programs (Vol. 46, pp. 599–610). Presented at the
POPL: Principles of Programming Languages, Texas, USA: ACM. https://doi.org/10.1145/1926385.1926454'
chicago: Alur, Rajeev, and Pavol Cerny. “Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs,” 46:599–610. ACM, 2011. https://doi.org/10.1145/1926385.1926454.
ieee: 'R. Alur and P. Cerny, “Streaming transducers for algorithmic verification
of single pass list processing programs,” presented at the POPL: Principles of
Programming Languages, Texas, USA, 2011, vol. 46, no. 1, pp. 599–610.'
ista: 'Alur R, Cerny P. 2011. Streaming transducers for algorithmic verification
of single pass list processing programs. POPL: Principles of Programming Languages
vol. 46, 599–610.'
mla: Alur, Rajeev, and Pavol Cerny. Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs. Vol. 46, no. 1, ACM, 2011, pp. 599–610,
doi:10.1145/1926385.1926454.
short: R. Alur, P. Cerny, in:, ACM, 2011, pp. 599–610.
conference:
end_date: 2011-01-28
location: Texas, USA
name: 'POPL: Principles of Programming Languages'
start_date: 2011-01-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-01-26T00:00:00Z
date_updated: 2022-03-21T08:12:51Z
day: '26'
department:
- _id: ToHe
doi: 10.1145/1926385.1926454
intvolume: ' 46'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 599 - 610
publication_status: published
publisher: ACM
publist_id: '3310'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Streaming transducers for algorithmic verification of single pass list processing
programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2011'
...
---
_id: '3324'
abstract:
- lang: eng
text: 'Automated termination provers often use the following schema to prove that
a program terminates: construct a relational abstraction of the program''s transition
relation and then show that the relational abstraction is well-founded. The focus
of current tools has been on developing sophisticated techniques for constructing
the abstractions while relying on known decidable logics (such as linear arithmetic)
to express them. We believe we can significantly increase the class of programs
that are amenable to automated termination proofs by identifying more expressive
decidable logics for reasoning about well-founded relations. We therefore present
a new decision procedure for reasoning about multiset orderings, which are among
the most powerful orderings used to prove termination. We show that, using our
decision procedure, one can automatically prove termination of natural abstractions
of programs.'
alternative_title:
- LNCS
author:
- first_name: Ruzica
full_name: Piskac, Ruzica
last_name: Piskac
- first_name: Thomas
full_name: Wies, Thomas
id: 447BFB88-F248-11E8-B48F-1D18A9856A87
last_name: Wies
citation:
ama: 'Piskac R, Wies T. Decision procedures for automating termination proofs. In:
Jhala R, Schmidt D, eds. Vol 6538. Springer; 2011:371-386. doi:10.1007/978-3-642-18275-4_26'
apa: 'Piskac, R., & Wies, T. (2011). Decision procedures for automating termination
proofs. In R. Jhala & D. Schmidt (Eds.) (Vol. 6538, pp. 371–386). Presented
at the VMCAI: Verification Model Checking and Abstract Interpretation, Texas,
USA: Springer. https://doi.org/10.1007/978-3-642-18275-4_26'
chicago: Piskac, Ruzica, and Thomas Wies. “Decision Procedures for Automating Termination
Proofs.” edited by Ranjit Jhala and David Schmidt, 6538:371–86. Springer, 2011.
https://doi.org/10.1007/978-3-642-18275-4_26.
ieee: 'R. Piskac and T. Wies, “Decision procedures for automating termination proofs,”
presented at the VMCAI: Verification Model Checking and Abstract Interpretation,
Texas, USA, 2011, vol. 6538, pp. 371–386.'
ista: 'Piskac R, Wies T. 2011. Decision procedures for automating termination proofs.
VMCAI: Verification Model Checking and Abstract Interpretation, LNCS, vol. 6538,
371–386.'
mla: Piskac, Ruzica, and Thomas Wies. Decision Procedures for Automating Termination
Proofs. Edited by Ranjit Jhala and David Schmidt, vol. 6538, Springer, 2011,
pp. 371–86, doi:10.1007/978-3-642-18275-4_26.
short: R. Piskac, T. Wies, in:, R. Jhala, D. Schmidt (Eds.), Springer, 2011, pp.
371–386.
conference:
end_date: 2011-01-25
location: Texas, USA
name: 'VMCAI: Verification Model Checking and Abstract Interpretation'
start_date: 2011-01-23
date_created: 2018-12-11T12:02:40Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:39Z
day: '01'
department:
- _id: ToHe
doi: 10.1007/978-3-642-18275-4_26
editor:
- first_name: Ranjit
full_name: Jhala, Ranjit
last_name: Jhala
- first_name: David
full_name: Schmidt, David
last_name: Schmidt
intvolume: ' 6538'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://infoscience.epfl.ch/record/170697/
month: '01'
oa: 1
oa_version: Submitted Version
page: 371 - 386
publication_status: published
publisher: Springer
publist_id: '3311'
quality_controlled: '1'
scopus_import: 1
status: public
title: Decision procedures for automating termination proofs
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6538
year: '2011'
...
---
_id: '3327'
abstract:
- lang: eng
text: We solve the open problems of translating, when possible, all common classes
of nondeterministic word automata to deterministic and nondeterministic co-Büchi
word automata. The handled classes include Büchi, parity, Rabin, Streett and Muller
automata. The translations follow a unified approach and are all asymptotically
tight. The problem of translating Büchi automata to equivalent co-Büchi automata
was solved in [2], leaving open the problems of translating automata with richer
acceptance conditions. For these classes, one cannot easily extend or use the
construction in [2]. In particular, going via an intermediate Büchi automaton
is not optimal and might involve a blow-up exponentially higher than the known
lower bound. Other known translations are also not optimal and involve a doubly
exponential blow-up. We describe direct, simple, and asymptotically tight constructions,
involving a 2Θ(n) blow-up. The constructions are variants of the subset construction,
and allow for symbolic implementations. Beyond the theoretical importance of the
results, the new constructions have various applications, among which is an improved
algorithm for translating, when possible, LTL formulas to deterministic Büchi
word automata.
alternative_title:
- LNCS
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Boker U, Kupferman O. Co-Büching them all. In: Hofmann M, ed. Vol 6604. Springer;
2011:184-198. doi:10.1007/978-3-642-19805-2_13'
apa: 'Boker, U., & Kupferman, O. (2011). Co-Büching them all. In M. Hofmann
(Ed.) (Vol. 6604, pp. 184–198). Presented at the FoSSaCS: Foundations of Software
Science and Computation Structures, Saarbrücken, Germany: Springer. https://doi.org/10.1007/978-3-642-19805-2_13'
chicago: Boker, Udi, and Orna Kupferman. “Co-Büching Them All.” edited by Martin
Hofmann, 6604:184–98. Springer, 2011. https://doi.org/10.1007/978-3-642-19805-2_13.
ieee: 'U. Boker and O. Kupferman, “Co-Büching them all,” presented at the FoSSaCS:
Foundations of Software Science and Computation Structures, Saarbrücken, Germany,
2011, vol. 6604, pp. 184–198.'
ista: 'Boker U, Kupferman O. 2011. Co-Büching them all. FoSSaCS: Foundations of
Software Science and Computation Structures, LNCS, vol. 6604, 184–198.'
mla: Boker, Udi, and Orna Kupferman. Co-Büching Them All. Edited by Martin
Hofmann, vol. 6604, Springer, 2011, pp. 184–98, doi:10.1007/978-3-642-19805-2_13.
short: U. Boker, O. Kupferman, in:, M. Hofmann (Ed.), Springer, 2011, pp. 184–198.
conference:
end_date: 2011-04-03
location: Saarbrücken, Germany
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2011-03-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-03-29T00:00:00Z
date_updated: 2021-01-12T07:42:41Z
day: '29'
doi: 10.1007/978-3-642-19805-2_13
editor:
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
extern: '1'
intvolume: ' 6604'
language:
- iso: eng
month: '03'
oa_version: None
page: 184 - 198
publication_status: published
publisher: Springer
publist_id: '3308'
quality_controlled: '1'
status: public
title: Co-Büching them all
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6604
year: '2011'
...
---
_id: '3337'
abstract:
- lang: eng
text: Playing table tennis is a difficult task for robots, especially due to their
limitations of acceleration. A key bottleneck is the amount of time needed to
reach the desired hitting position and velocity of the racket for returning the
incoming ball. Here, it often does not suffice to simply extrapolate the ball's
trajectory after the opponent returns it but more information is needed. Humans
are able to predict the ball's trajectory based on the opponent's moves and, thus,
have a considerable advantage. Hence, we propose to incorporate an anticipation
system into robot table tennis players, which enables the robot to react earlier
while the opponent is performing the striking movement. Based on visual observation
of the opponent's racket movement, the robot can predict the aim of the opponent
and adjust its movement generation accordingly. The policies for deciding how
and when to react are obtained by reinforcement learning. We conduct experiments
with an existing robot player to show that the learned reaction policy can significantly
improve the performance of the overall system.
author:
- first_name: Zhikun
full_name: Wang, Zhikun
last_name: Wang
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Katharina
full_name: Mülling, Katharina
last_name: Mülling
- first_name: Bernhard
full_name: Schölkopf, Bernhard
last_name: Schölkopf
- first_name: Jan
full_name: Peters, Jan
last_name: Peters
citation:
ama: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. Learning anticipation
policies for robot table tennis. In: IEEE; 2011:332-337. doi:10.1109/IROS.2011.6094892'
apa: 'Wang, Z., Lampert, C., Mülling, K., Schölkopf, B., & Peters, J. (2011).
Learning anticipation policies for robot table tennis (pp. 332–337). Presented
at the IROS: RSJ International Conference on Intelligent Robots and Systems, San
Francisco, USA: IEEE. https://doi.org/10.1109/IROS.2011.6094892'
chicago: Wang, Zhikun, Christoph Lampert, Katharina Mülling, Bernhard Schölkopf,
and Jan Peters. “Learning Anticipation Policies for Robot Table Tennis,” 332–37.
IEEE, 2011. https://doi.org/10.1109/IROS.2011.6094892.
ieee: 'Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, and J. Peters, “Learning anticipation
policies for robot table tennis,” presented at the IROS: RSJ International Conference
on Intelligent Robots and Systems, San Francisco, USA, 2011, pp. 332–337.'
ista: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. 2011. Learning anticipation
policies for robot table tennis. IROS: RSJ International Conference on Intelligent
Robots and Systems, 332–337.'
mla: Wang, Zhikun, et al. Learning Anticipation Policies for Robot Table Tennis.
IEEE, 2011, pp. 332–37, doi:10.1109/IROS.2011.6094892.
short: Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, J. Peters, in:, IEEE, 2011,
pp. 332–337.
conference:
end_date: 2011-09-30
location: San Francisco, USA
name: 'IROS: RSJ International Conference on Intelligent Robots and Systems'
start_date: 2011-09-25
date_created: 2018-12-11T12:02:45Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:45Z
day: '01'
department:
- _id: ChLa
doi: 10.1109/IROS.2011.6094892
language:
- iso: eng
month: '01'
oa_version: None
page: 332 - 337
publication_status: published
publisher: IEEE
publist_id: '3293'
quality_controlled: '1'
scopus_import: 1
status: public
title: Learning anticipation policies for robot table tennis
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3339'
abstract:
- lang: eng
text: 'Turn-based stochastic games and its important subclass Markov decision processes
(MDPs) provide models for systems with both probabilistic and nondeterministic
behaviors. We consider turn-based stochastic games with two classical quantitative
objectives: discounted-sum and long-run average objectives. The game models and
the quantitative objectives are widely used in probabilistic verification, planning,
optimal inventory control, network protocol and performance analysis. Games and
MDPs that model realistic systems often have very large state spaces, and probabilistic
abstraction techniques are necessary to handle the state-space explosion. The
commonly used full-abstraction techniques do not yield space-savings for systems
that have many states with similar value, but does not necessarily have similar
transition structure. A semi-abstraction technique, namely Magnifying-lens abstractions
(MLA), that clusters states based on value only, disregarding differences in their
transition relation was proposed for qualitative objectives (reachability and
safety objectives). In this paper we extend the MLA technique to solve stochastic
games with discounted-sum and long-run average objectives. We present the MLA
technique based abstraction-refinement algorithm for stochastic games and MDPs
with discounted-sum objectives. For long-run average objectives, our solution
works for all MDPs and a sub-class of stochastic games where every state has the
same value. '
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Roy
full_name: Pritam, Roy
last_name: Pritam
citation:
ama: Chatterjee K, De Alfaro L, Pritam R. Magnifying lens abstraction for stochastic
games with discounted and long-run average objectives. arXiv. 2011.
apa: Chatterjee, K., De Alfaro, L., & Pritam, R. (2011). Magnifying lens abstraction
for stochastic games with discounted and long-run average objectives. arXiv.
ArXiv.
chicago: Chatterjee, Krishnendu, Luca De Alfaro, and Roy Pritam. “Magnifying Lens
Abstraction for Stochastic Games with Discounted and Long-Run Average Objectives.”
ArXiv. ArXiv, 2011.
ieee: K. Chatterjee, L. De Alfaro, and R. Pritam, “Magnifying lens abstraction for
stochastic games with discounted and long-run average objectives,” arXiv.
ArXiv, 2011.
ista: Chatterjee K, De Alfaro L, Pritam R. 2011. Magnifying lens abstraction for
stochastic games with discounted and long-run average objectives. arXiv, .
mla: Chatterjee, Krishnendu, et al. “Magnifying Lens Abstraction for Stochastic
Games with Discounted and Long-Run Average Objectives.” ArXiv, ArXiv, 2011.
short: K. Chatterjee, L. De Alfaro, R. Pritam, ArXiv (2011).
date_created: 2018-12-11T12:02:46Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2021-01-12T07:42:46Z
day: '11'
department:
- _id: KrCh
external_id:
arxiv:
- '1107.2132'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2132
month: '07'
oa: 1
oa_version: Preprint
page: '17'
publication: arXiv
publication_status: published
publisher: ArXiv
publist_id: '3286'
status: public
title: Magnifying lens abstraction for stochastic games with discounted and long-run
average objectives
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3342'
abstract:
- lang: eng
text: 'We consider Markov decision processes (MDPs) with ω-regular specifications
given as parity objectives. We consider the problem of computing the set of almost-sure
winning states from where the objective can be ensured with probability 1. The
algorithms for the computation of the almost-sure winning set for parity objectives
iteratively use the solutions for the almost-sure winning set for Büchi objectives
(a special case of parity objectives). Our contributions are as follows: First,
we present the first subquadratic symbolic algorithm to compute the almost-sure
winning set for MDPs with Büchi objectives; our algorithm takes O(nm) symbolic
steps as compared to the previous known algorithm that takes O(n 2) symbolic steps,
where n is the number of states and m is the number of edges of the MDP. In practice
MDPs often have constant out-degree, and then our symbolic algorithm takes O(nn) symbolic
steps, as compared to the previous known O(n 2) symbolic steps algorithm. Second,
we present a new algorithm, namely win-lose algorithm, with the following two
properties: (a) the algorithm iteratively computes subsets of the almost-sure
winning set and its complement, as compared to all previous algorithms that discover
the almost-sure winning set upon termination; and (b) requires O(nK) symbolic
steps, where K is the maximal number of edges of strongly connected components
(scc’s) of the MDP. The win-lose algorithm requires symbolic computation of scc’s.
Third, we improve the algorithm for symbolic scc computation; the previous known
algorithm takes linear symbolic steps, and our new algorithm improves the constants
associated with the linear number of steps. In the worst case the previous known
algorithm takes 5·n symbolic steps, whereas our new algorithm takes 4 ·n symbolic
steps.'
alternative_title:
- LNCS
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Manas
full_name: Joglekar, Manas
last_name: Joglekar
- first_name: Shah
full_name: Nisarg, Shah
last_name: Nisarg
citation:
ama: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. Symbolic algorithms for
qualitative analysis of Markov decision processes with Büchi objectives. In: Gopalakrishnan
G, Qadeer S, eds. Vol 6806. Springer; 2011:260-276. doi:10.1007/978-3-642-22110-1_21'
apa: 'Chatterjee, K., Henzinger, M. H., Joglekar, M., & Nisarg, S. (2011). Symbolic
algorithms for qualitative analysis of Markov decision processes with Büchi objectives.
In G. Gopalakrishnan & S. Qadeer (Eds.) (Vol. 6806, pp. 260–276). Presented
at the CAV: Computer Aided Verification, Snowbird, USA: Springer. https://doi.org/10.1007/978-3-642-22110-1_21'
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Manas Joglekar, and Shah Nisarg.
“Symbolic Algorithms for Qualitative Analysis of Markov Decision Processes with
Büchi Objectives.” edited by Ganesh Gopalakrishnan and Shaz Qadeer, 6806:260–76.
Springer, 2011. https://doi.org/10.1007/978-3-642-22110-1_21.
ieee: 'K. Chatterjee, M. H. Henzinger, M. Joglekar, and S. Nisarg, “Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives,”
presented at the CAV: Computer Aided Verification, Snowbird, USA, 2011, vol. 6806,
pp. 260–276.'
ista: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. 2011. Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives. CAV:
Computer Aided Verification, LNCS, vol. 6806, 260–276.'
mla: Chatterjee, Krishnendu, et al. Symbolic Algorithms for Qualitative Analysis
of Markov Decision Processes with Büchi Objectives. Edited by Ganesh Gopalakrishnan
and Shaz Qadeer, vol. 6806, Springer, 2011, pp. 260–76, doi:10.1007/978-3-642-22110-1_21.
short: K. Chatterjee, M.H. Henzinger, M. Joglekar, S. Nisarg, in:, G. Gopalakrishnan,
S. Qadeer (Eds.), Springer, 2011, pp. 260–276.
conference:
end_date: 2011-07-20
location: Snowbird, USA
name: 'CAV: Computer Aided Verification'
start_date: 2011-07-14
date_created: 2018-12-11T12:02:47Z
date_published: 2011-08-11T00:00:00Z
date_updated: 2023-02-23T11:00:13Z
day: '11'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22110-1_21
editor:
- first_name: Ganesh
full_name: Gopalakrishnan, Ganesh
last_name: Gopalakrishnan
- first_name: Shaz
full_name: Qadeer, Shaz
last_name: Qadeer
external_id:
arxiv:
- '1104.3348'
intvolume: ' 6806'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3348
month: '08'
oa: 1
oa_version: Preprint
page: 260 - 276
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3282'
quality_controlled: '1'
related_material:
record:
- id: '2831'
relation: later_version
status: public
status: public
title: Symbolic algorithms for qualitative analysis of Markov decision processes with
Büchi objectives
type: conference
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 6806
year: '2011'
...
---
_id: '3347'
abstract:
- lang: eng
text: 'The class of omega-regular languages provides a robust specification language
in verification. Every omega-regular condition can be decomposed into a safety
part and a liveness part. The liveness part ensures that something good happens
"eventually". Finitary liveness was proposed by Alur and Henzinger as
a stronger formulation of liveness. It requires that there exists an unknown,
fixed bound b such that something good happens within b transitions. In this work
we consider automata with finitary acceptance conditions defined by finitary Buchi,
parity and Streett languages. We study languages expressible by such automata:
we give their topological complexity and present a regular-expression characterization.
We compare the expressive power of finitary automata and give optimal algorithms
for classical decisions questions. We show that the finitary languages are Sigma
2-complete; we present a complete picture of the expressive power of various classes
of automata with finitary and infinitary acceptance conditions; we show that the
languages defined by finitary parity automata exactly characterize the star-free
fragment of omega B-regular languages; and we show that emptiness is NLOGSPACE-complete
and universality as well as language inclusion are PSPACE-complete for finitary
parity and Streett automata.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Nathanaël
full_name: Fijalkow, Nathanaël
id: A1B5DD72-E997-11E9-8398-E808B6C6ADC0
last_name: Fijalkow
citation:
ama: 'Chatterjee K, Fijalkow N. Finitary languages. In: Vol 6638. Springer; 2011:216-226.
doi:10.1007/978-3-642-21254-3_16'
apa: 'Chatterjee, K., & Fijalkow, N. (2011). Finitary languages (Vol. 6638,
pp. 216–226). Presented at the LATA: Language and Automata Theory and Applications,
Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_16'
chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Finitary Languages,” 6638:216–26.
Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_16.
ieee: 'K. Chatterjee and N. Fijalkow, “Finitary languages,” presented at the LATA:
Language and Automata Theory and Applications, Tarragona, Spain, 2011, vol. 6638,
pp. 216–226.'
ista: 'Chatterjee K, Fijalkow N. 2011. Finitary languages. LATA: Language and Automata
Theory and Applications, LNCS, vol. 6638, 216–226.'
mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. Finitary Languages.
Vol. 6638, Springer, 2011, pp. 216–26, doi:10.1007/978-3-642-21254-3_16.
short: K. Chatterjee, N. Fijalkow, in:, Springer, 2011, pp. 216–226.
conference:
end_date: 2011-05-31
location: Tarragona, Spain
name: 'LATA: Language and Automata Theory and Applications'
start_date: 2011-05-26
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-16T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '16'
department:
- _id: KrCh
doi: 10.1007/978-3-642-21254-3_16
external_id:
arxiv:
- '1101.1727'
intvolume: ' 6638'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.1727
month: '06'
oa: 1
oa_version: Preprint
page: 216 - 226
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3274'
quality_controlled: '1'
scopus_import: 1
status: public
title: Finitary languages
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6638
year: '2011'
...
---
_id: '3346'
abstract:
- lang: eng
text: We study Markov decision processes (MDPs) with multiple limit-average (or
mean-payoff) functions. We consider two different objectives, namely, expectation
and satisfaction objectives. Given an MDP with k reward functions, in the expectation
objective the goal is to maximize the expected limit-average value, and in the
satisfaction objective the goal is to maximize the probability of runs such that
the limit-average value stays above a given vector. We show that under the expectation
objective, in contrast to the single-objective case, both randomization and memory
are necessary for strategies, and that finite-memory randomized strategies are
sufficient. Under the satisfaction objective, in contrast to the single-objective
case, infinite memory is necessary for strategies, and that randomized memoryless
strategies are sufficient for epsilon-approximation, for all epsilon>;0. We
further prove that the decision problems for both expectation and satisfaction
objectives can be solved in polynomial time and the trade-off curve (Pareto curve)
can be epsilon-approximated in time polynomial in the size of the MDP and 1/epsilon,
and exponential in the number of reward functions, for all epsilon>;0. Our
results also reveal flaws in previous work for MDPs with multiple mean-payoff
functions under the expectation objective, correct the flaws and obtain improved
results.
article_number: '5970225'
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Václav
full_name: Brožek, Václav
last_name: Brožek
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vojtěch
full_name: Forejt, Vojtěch
last_name: Forejt
- first_name: Antonín
full_name: Kučera, Antonín
last_name: Kučera
citation:
ama: 'Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. Two views on multiple
mean payoff objectives in Markov Decision Processes. In: IEEE; 2011. doi:10.1109/LICS.2011.10'
apa: 'Brázdil, T., Brožek, V., Chatterjee, K., Forejt, V., & Kučera, A. (2011).
Two views on multiple mean payoff objectives in Markov Decision Processes. Presented
at the LICS: Logic in Computer Science, Toronto, Canada: IEEE. https://doi.org/10.1109/LICS.2011.10'
chicago: Brázdil, Tomáš, Václav Brožek, Krishnendu Chatterjee, Vojtěch Forejt, and
Antonín Kučera. “Two Views on Multiple Mean Payoff Objectives in Markov Decision
Processes.” IEEE, 2011. https://doi.org/10.1109/LICS.2011.10.
ieee: 'T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, and A. Kučera, “Two views
on multiple mean payoff objectives in Markov Decision Processes,” presented at
the LICS: Logic in Computer Science, Toronto, Canada, 2011.'
ista: 'Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. 2011. Two views on
multiple mean payoff objectives in Markov Decision Processes. LICS: Logic in Computer
Science, 5970225.'
mla: Brázdil, Tomáš, et al. Two Views on Multiple Mean Payoff Objectives in Markov
Decision Processes. 5970225, IEEE, 2011, doi:10.1109/LICS.2011.10.
short: T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, A. Kučera, in:, IEEE, 2011.
conference:
end_date: 2011-06-24
location: Toronto, Canada
name: 'LICS: Logic in Computer Science'
start_date: 2011-06-21
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-21T00:00:00Z
date_updated: 2021-01-12T07:42:49Z
day: '21'
department:
- _id: KrCh
doi: 10.1109/LICS.2011.10
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3489
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: IEEE
publist_id: '3275'
quality_controlled: '1'
scopus_import: 1
status: public
title: Two views on multiple mean payoff objectives in Markov Decision Processes
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3348'
abstract:
- lang: eng
text: We study synthesis of controllers for real-time systems, where the objective
is to stay in a given safe set. The problem is solved by obtaining winning strategies
in the setting of concurrent two-player timed automaton games with safety objectives.
To prevent a player from winning by blocking time, we restrict each player to
strategies that ensure that the player cannot be responsible for causing a zeno
run. We construct winning strategies for the controller which require access only
to (1) the system clocks (thus, controllers which require their own internal infinitely
precise clocks are not necessary), and (2) a linear (in the number of clocks)
number of memory bits. Precisely, we show that for safety objectives, a memory
of size (3 · |C|+lg(|C|+1)) bits suffices for winning controller strategies, where
C is the set of clocks of the timed automaton game, significantly improving the
previous known exponential bound. We also settle the open question of whether
winning region controller strategies require memory for safety objectives by showing
with an example the necessity of memory for region strategies to win for safety
objectives.
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vinayak
full_name: Prabhu, Vinayak
last_name: Prabhu
citation:
ama: 'Chatterjee K, Prabhu V. Synthesis of memory efficient real time controllers
for safety objectives. In: Springer; 2011:221-230. doi:10.1145/1967701.1967734'
apa: 'Chatterjee, K., & Prabhu, V. (2011). Synthesis of memory efficient real
time controllers for safety objectives (pp. 221–230). Presented at the HSCC: Hybrid
Systems - Computation and Control, Chicago, USA: Springer. https://doi.org/10.1145/1967701.1967734'
chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives,” 221–30. Springer, 2011. https://doi.org/10.1145/1967701.1967734.
ieee: 'K. Chatterjee and V. Prabhu, “Synthesis of memory efficient real time controllers
for safety objectives,” presented at the HSCC: Hybrid Systems - Computation and
Control, Chicago, USA, 2011, pp. 221–230.'
ista: 'Chatterjee K, Prabhu V. 2011. Synthesis of memory efficient real time controllers
for safety objectives. HSCC: Hybrid Systems - Computation and Control, 221–230.'
mla: Chatterjee, Krishnendu, and Vinayak Prabhu. Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives. Springer, 2011, pp. 221–30, doi:10.1145/1967701.1967734.
short: K. Chatterjee, V. Prabhu, in:, Springer, 2011, pp. 221–230.
conference:
end_date: 2011-04-14
location: Chicago, USA
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2011-04-12
date_created: 2018-12-11T12:02:49Z
date_published: 2011-01-31T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '31'
department:
- _id: KrCh
doi: 10.1145/1967701.1967734
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.5842
month: '01'
oa: 1
oa_version: Submitted Version
page: 221 - 230
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3273'
quality_controlled: '1'
scopus_import: 1
status: public
title: Synthesis of memory efficient real time controllers for safety objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3344'
abstract:
- lang: eng
text: 'Games played on graphs provide the mathematical framework to analyze several
important problems in computer science as well as mathematics, such as the synthesis
problem of Church, model checking of open reactive systems and many others. On
the basis of mode of interaction of the players these games can be classified
as follows: (a) turn-based (players make moves in turns); and (b) concurrent (players
make moves simultaneously). On the basis of the information available to the players
these games can be classified as follows: (a) perfect-information (players have
perfect view of the game); and (b) partial-information (players have partial view
of the game). In this talk we will consider all these classes of games with reachability
objectives, where the goal of one player is to reach a set of target vertices
of the graph, and the goal of the opponent player is to prevent the player from
reaching the target. We will survey the results for various classes of games,
and the results range from linear time decision algorithms to EXPTIME-complete
problems to undecidable problems.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Chatterjee K. Graph games with reachability objectives. In: Delzanno G, Potapov
I, eds. Vol 6945. Springer; 2011:1-1. doi:10.1007/978-3-642-24288-5_1'
apa: 'Chatterjee, K. (2011). Graph games with reachability objectives. In G. Delzanno
& I. Potapov (Eds.) (Vol. 6945, pp. 1–1). Presented at the RP: Reachability
Problems, Genoa, Italy: Springer. https://doi.org/10.1007/978-3-642-24288-5_1'
chicago: Chatterjee, Krishnendu. “Graph Games with Reachability Objectives.” edited
by Giorgo Delzanno and Igor Potapov, 6945:1–1. Springer, 2011. https://doi.org/10.1007/978-3-642-24288-5_1.
ieee: 'K. Chatterjee, “Graph games with reachability objectives,” presented at the
RP: Reachability Problems, Genoa, Italy, 2011, vol. 6945, pp. 1–1.'
ista: 'Chatterjee K. 2011. Graph games with reachability objectives. RP: Reachability
Problems, LNCS, vol. 6945, 1–1.'
mla: Chatterjee, Krishnendu. Graph Games with Reachability Objectives. Edited
by Giorgo Delzanno and Igor Potapov, vol. 6945, Springer, 2011, pp. 1–1, doi:10.1007/978-3-642-24288-5_1.
short: K. Chatterjee, in:, G. Delzanno, I. Potapov (Eds.), Springer, 2011, pp. 1–1.
conference:
end_date: 2011-09-30
location: Genoa, Italy
name: 'RP: Reachability Problems'
start_date: 2011-09-28
date_created: 2018-12-11T12:02:47Z
date_published: 2011-10-15T00:00:00Z
date_updated: 2021-01-12T07:42:48Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-24288-5_1
editor:
- first_name: Giorgo
full_name: Delzanno, Giorgo
last_name: Delzanno
- first_name: Igor
full_name: Potapov, Igor
last_name: Potapov
intvolume: ' 6945'
language:
- iso: eng
month: '10'
oa_version: None
page: 1 - 1
publication_status: published
publisher: Springer
publist_id: '3277'
quality_controlled: '1'
status: public
title: Graph games with reachability objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6945
year: '2011'
...
---
_id: '3343'
abstract:
- lang: eng
text: 'We present faster and dynamic algorithms for the following problems arising
in probabilistic verification: Computation of the maximal end-component (mec)
decomposition of Markov decision processes (MDPs), and of the almost sure winning
set for reachability and parity objectives in MDPs. We achieve the following running
time for static algorithms in MDPs with graphs of n vertices and m edges: (1)
O(m · min{ √m, n2/3 }) for the mec decomposition, improving the longstanding O(m·n)
bound; (2) O(m·n2/3) for reachability objectives, improving the previous O(m ·
√m) bound for m > n4/3; and (3) O(m · min{ √m, n2/3 } · log(d)) for parity
objectives with d priorities, improving the previous O(m · √m · d) bound. We also
give incremental and decremental algorithms in linear time for mec decomposition
and reachability objectives and O(m · log d) time for parity ob jectives.'
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
citation:
ama: 'Chatterjee K, Henzinger MH. Faster and dynamic algorithms for maximal end-component
decomposition and related graph problems in probabilistic verification. In: SIAM;
2011:1318-1336. doi:10.1137/1.9781611973082.101'
apa: 'Chatterjee, K., & Henzinger, M. H. (2011). Faster and dynamic algorithms
for maximal end-component decomposition and related graph problems in probabilistic
verification (pp. 1318–1336). Presented at the SODA: Symposium on Discrete Algorithms,
San Francisco, SA, United States: SIAM. https://doi.org/10.1137/1.9781611973082.101'
chicago: Chatterjee, Krishnendu, and Monika H Henzinger. “Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification,” 1318–36. SIAM, 2011. https://doi.org/10.1137/1.9781611973082.101.
ieee: 'K. Chatterjee and M. H. Henzinger, “Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification,”
presented at the SODA: Symposium on Discrete Algorithms, San Francisco, SA, United
States, 2011, pp. 1318–1336.'
ista: 'Chatterjee K, Henzinger MH. 2011. Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification.
SODA: Symposium on Discrete Algorithms, 1318–1336.'
mla: Chatterjee, Krishnendu, and Monika H. Henzinger. Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification. SIAM, 2011, pp. 1318–36, doi:10.1137/1.9781611973082.101.
short: K. Chatterjee, M.H. Henzinger, in:, SIAM, 2011, pp. 1318–1336.
conference:
end_date: 2011-01-25
location: San Francisco, SA, United States
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2011-01-23
date_created: 2018-12-11T12:02:47Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2023-02-14T10:36:10Z
day: '01'
department:
- _id: KrCh
doi: 10.1137/1.9781611973082.101
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprints.cs.univie.ac.at/21/
month: '01'
oa: 1
oa_version: Submitted Version
page: 1318 - 1336
publication_status: published
publisher: SIAM
publist_id: '3278'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster and dynamic algorithms for maximal end-component decomposition and related
graph problems in probabilistic verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3360'
abstract:
- lang: eng
text: 'A discounted-sum automaton (NDA) is a nondeterministic finite automaton with
edge weights, which values a run by the discounted sum of visited edge weights.
More precisely, the weight in the i-th position of the run is divided by lambda^i,
where the discount factor lambda is a fixed rational number greater than 1. Discounted
summation is a common and useful measuring scheme, especially for infinite sequences,
which reflects the assumption that earlier weights are more important than later
weights. Determinizing automata is often essential, for example, in formal verification,
where there are polynomial algorithms for comparing two deterministic NDAs, while
the equivalence problem for NDAs is not known to be decidable. Unfortunately,
however, discounted-sum automata are, in general, not determinizable: it is currently
known that for every rational discount factor 1 < lambda < 2, there is an
NDA with lambda (denoted lambda-NDA) that cannot be determinized. We provide positive
news, showing that every NDA with an integral factor is determinizable. We also
complete the picture by proving that the integers characterize exactly the discount
factors that guarantee determinizability: we show that for every non-integral
rational factor lambda, there is a nondeterminizable lambda-NDA. Finally, we prove
that the class of NDAs with integral discount factors enjoys closure under the
algebraic operations min, max, addition, and subtraction, which is not the case
for general NDAs nor for deterministic NDAs. This shows that for integral discount
factors, the class of NDAs forms an attractive specification formalism in quantitative
formal verification. All our results hold equally for automata over finite words
and for automata over infinite words. '
alternative_title:
- LIPIcs
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- 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: 'Boker U, Henzinger TA. Determinizing discounted-sum automata. In: Vol 12.
Springer; 2011:82-96. doi:10.4230/LIPIcs.CSL.2011.82'
apa: 'Boker, U., & Henzinger, T. A. (2011). Determinizing discounted-sum automata
(Vol. 12, pp. 82–96). Presented at the CSL: Computer Science Logic, Bergen, Norway:
Springer. https://doi.org/10.4230/LIPIcs.CSL.2011.82'
chicago: Boker, Udi, and Thomas A Henzinger. “Determinizing Discounted-Sum Automata,”
12:82–96. Springer, 2011. https://doi.org/10.4230/LIPIcs.CSL.2011.82.
ieee: 'U. Boker and T. A. Henzinger, “Determinizing discounted-sum automata,” presented
at the CSL: Computer Science Logic, Bergen, Norway, 2011, vol. 12, pp. 82–96.'
ista: 'Boker U, Henzinger TA. 2011. Determinizing discounted-sum automata. CSL:
Computer Science Logic, LIPIcs, vol. 12, 82–96.'
mla: Boker, Udi, and Thomas A. Henzinger. Determinizing Discounted-Sum Automata.
Vol. 12, Springer, 2011, pp. 82–96, doi:10.4230/LIPIcs.CSL.2011.82.
short: U. Boker, T.A. Henzinger, in:, Springer, 2011, pp. 82–96.
conference:
end_date: 2011-09-15
location: Bergen, Norway
name: 'CSL: Computer Science Logic'
start_date: 2011-09-12
date_created: 2018-12-11T12:02:53Z
date_published: 2011-08-31T00:00:00Z
date_updated: 2021-01-12T07:42:56Z
day: '31'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CSL.2011.82
ec_funded: 1
file:
- access_level: open_access
checksum: 250603c6be8ccad4fbd4d7b24221f0ee
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:17Z
date_updated: 2020-07-14T12:46:10Z
file_id: '4803'
file_name: IST-2012-82-v1+1_Determinizing_discounted-sum_automata.pdf
file_size: 504270
relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
intvolume: ' 12'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '08'
oa: 1
oa_version: Published Version
page: 82 - 96
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '3255'
pubrep_id: '82'
quality_controlled: '1'
scopus_import: 1
status: public
title: Determinizing discounted-sum automata
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2011'
...