---
_id: '2039'
abstract:
- lang: eng
text: 'A fundamental question in biology is the following: what is the time scale
that is needed for evolutionary innovations? There are many results that characterize
single steps in terms of the fixation time of new mutants arising in populations
of certain size and structure. But here we ask a different question, which is
concerned with the much longer time scale of evolutionary trajectories: how long
does it take for a population exploring a fitness landscape to find target sequences
that encode new biological functions? Our key variable is the length, (Formula
presented.) of the genetic sequence that undergoes adaptation. In computer science
there is a crucial distinction between problems that require algorithms which
take polynomial or exponential time. The latter are considered to be intractable.
Here we develop a theoretical approach that allows us to estimate the time of
evolution as function of (Formula presented.) We show that adaptation on many
fitness landscapes takes time that is exponential in (Formula presented.) even
if there are broad selection gradients and many targets uniformly distributed
in sequence space. These negative results lead us to search for specific mechanisms
that allow evolution to work on polynomial time scales. We study a regeneration
process and show that it enables evolution to work in polynomial time.'
article_number: 7p
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Ben
full_name: Adlam, Ben
last_name: Adlam
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Chatterjee K, Pavlogiannis A, Adlam B, Nowak M. The time scale of evolutionary
innovation. PLoS Computational Biology. 2014;10(9). doi:10.1371/journal.pcbi.1003818
apa: Chatterjee, K., Pavlogiannis, A., Adlam, B., & Nowak, M. (2014). The time
scale of evolutionary innovation. PLoS Computational Biology. Public Library
of Science. https://doi.org/10.1371/journal.pcbi.1003818
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Ben Adlam, and Martin Nowak.
“The Time Scale of Evolutionary Innovation.” PLoS Computational Biology.
Public Library of Science, 2014. https://doi.org/10.1371/journal.pcbi.1003818.
ieee: K. Chatterjee, A. Pavlogiannis, B. Adlam, and M. Nowak, “The time scale of
evolutionary innovation,” PLoS Computational Biology, vol. 10, no. 9. Public
Library of Science, 2014.
ista: Chatterjee K, Pavlogiannis A, Adlam B, Nowak M. 2014. The time scale of evolutionary
innovation. PLoS Computational Biology. 10(9), 7p.
mla: Chatterjee, Krishnendu, et al. “The Time Scale of Evolutionary Innovation.”
PLoS Computational Biology, vol. 10, no. 9, 7p, Public Library of Science,
2014, doi:10.1371/journal.pcbi.1003818.
short: K. Chatterjee, A. Pavlogiannis, B. Adlam, M. Nowak, PLoS Computational Biology
10 (2014).
date_created: 2018-12-11T11:55:22Z
date_published: 2014-09-11T00:00:00Z
date_updated: 2023-02-23T14:06:36Z
day: '11'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1003818
ec_funded: 1
file:
- access_level: open_access
checksum: 712d4c5787ddf97809cfc962507f0738
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:35Z
date_updated: 2020-07-14T12:45:26Z
file_id: '4890'
file_name: IST-2016-440-v1+1_journal.pcbi.1003818.pdf
file_size: 1399093
relation: main_file
file_date_updated: 2020-07-14T12:45:26Z
has_accepted_license: '1'
intvolume: ' 10'
issue: '9'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '09'
oa: 1
oa_version: Published 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: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: PLoS Computational Biology
publication_status: published
publisher: Public Library of Science
publist_id: '5012'
pubrep_id: '440'
quality_controlled: '1'
related_material:
record:
- id: '9739'
relation: research_data
status: public
scopus_import: 1
status: public
title: The time scale of evolutionary innovation
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: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2014'
...
---
_id: '9739'
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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Ben
full_name: Adlam, Ben
last_name: Adlam
- first_name: Martin
full_name: Novak, Martin
last_name: Novak
citation:
ama: Chatterjee K, Pavlogiannis A, Adlam B, Novak M. Detailed proofs for “The time
scale of evolutionary innovation.” 2014. doi:10.1371/journal.pcbi.1003818.s001
apa: Chatterjee, K., Pavlogiannis, A., Adlam, B., & Novak, M. (2014). Detailed
proofs for “The time scale of evolutionary innovation.” Public Library of Science.
https://doi.org/10.1371/journal.pcbi.1003818.s001
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Ben Adlam, and Martin Novak.
“Detailed Proofs for ‘The Time Scale of Evolutionary Innovation.’” Public Library
of Science, 2014. https://doi.org/10.1371/journal.pcbi.1003818.s001.
ieee: K. Chatterjee, A. Pavlogiannis, B. Adlam, and M. Novak, “Detailed proofs for
‘The time scale of evolutionary innovation.’” Public Library of Science, 2014.
ista: Chatterjee K, Pavlogiannis A, Adlam B, Novak M. 2014. Detailed proofs for
“The time scale of evolutionary innovation”, Public Library of Science, 10.1371/journal.pcbi.1003818.s001.
mla: Chatterjee, Krishnendu, et al. Detailed Proofs for “The Time Scale of Evolutionary
Innovation.” Public Library of Science, 2014, doi:10.1371/journal.pcbi.1003818.s001.
short: K. Chatterjee, A. Pavlogiannis, B. Adlam, M. Novak, (2014).
date_created: 2021-07-28T08:13:57Z
date_published: 2014-09-11T00:00:00Z
date_updated: 2023-02-23T10:25:37Z
day: '11'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1003818.s001
month: '09'
oa_version: Published Version
publisher: Public Library of Science
related_material:
record:
- id: '2039'
relation: used_in_publication
status: public
status: public
title: Detailed proofs for “The time scale of evolutionary innovation”
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2014'
...
---
_id: '535'
abstract:
- lang: eng
text: Energy games belong to a class of turn-based two-player infinite-duration
games played on a weighted directed graph. It is one of the rare and intriguing
combinatorial problems that lie in NP∩co-NP, but are not known to be in P. The
existence of polynomial-time algorithms has been a major open problem for decades
and apart from pseudopolynomial algorithms there is no algorithm that solves any
non-trivial subclass in polynomial time. In this paper, we give several results
based on the weight structures of the graph. First, we identify a notion of penalty
and present a polynomial-time algorithm when the penalty is large. Our algorithm
is the first polynomial-time algorithm on a large class of weighted graphs. It
includes several worst-case instances on which previous algorithms, such as value
iteration and random facet algorithms, require at least sub-exponential time.
Our main technique is developing the first non-trivial approximation algorithm
and showing how to convert it to an exact algorithm. Moreover, we show that in
a practical case in verification where weights are clustered around a constant
number of values, the energy game problem can be solved in polynomial time. We
also show that the problem is still as hard as in general when the clique-width
is bounded or the graph is strongly ergodic, suggesting that restricting the graph
structure does not necessarily help.
article_processing_charge: No
article_type: original
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: Sebastian
full_name: Krinninger, Sebastian
last_name: Krinninger
- first_name: Danupon
full_name: Nanongkai, Danupon
last_name: Nanongkai
citation:
ama: Chatterjee K, Henzinger MH, Krinninger S, Nanongkai D. Polynomial-time algorithms
for energy games with special weight structures. Algorithmica. 2014;70(3):457-492.
doi:10.1007/s00453-013-9843-7
apa: Chatterjee, K., Henzinger, M. H., Krinninger, S., & Nanongkai, D. (2014).
Polynomial-time algorithms for energy games with special weight structures. Algorithmica.
Springer. https://doi.org/10.1007/s00453-013-9843-7
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Sebastian Krinninger, and Danupon
Nanongkai. “Polynomial-Time Algorithms for Energy Games with Special Weight Structures.”
Algorithmica. Springer, 2014. https://doi.org/10.1007/s00453-013-9843-7.
ieee: K. Chatterjee, M. H. Henzinger, S. Krinninger, and D. Nanongkai, “Polynomial-time
algorithms for energy games with special weight structures,” Algorithmica,
vol. 70, no. 3. Springer, pp. 457–492, 2014.
ista: Chatterjee K, Henzinger MH, Krinninger S, Nanongkai D. 2014. Polynomial-time
algorithms for energy games with special weight structures. Algorithmica. 70(3),
457–492.
mla: Chatterjee, Krishnendu, et al. “Polynomial-Time Algorithms for Energy Games
with Special Weight Structures.” Algorithmica, vol. 70, no. 3, Springer,
2014, pp. 457–92, doi:10.1007/s00453-013-9843-7.
short: K. Chatterjee, M.H. Henzinger, S. Krinninger, D. Nanongkai, Algorithmica
70 (2014) 457–492.
date_created: 2018-12-11T11:47:01Z
date_published: 2014-11-01T00:00:00Z
date_updated: 2023-09-05T14:09:29Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s00453-013-9843-7
ec_funded: 1
external_id:
arxiv:
- '1604.08234'
intvolume: ' 70'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.08234
month: '11'
oa: 1
oa_version: Preprint
page: 457 - 492
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Algorithmica
publication_status: published
publisher: Springer
publist_id: '7282'
quality_controlled: '1'
related_material:
record:
- id: '10905'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Polynomial-time algorithms for energy games with special weight structures
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 70
year: '2014'
...
---
_id: '2063'
abstract:
- lang: eng
text: We consider Markov decision processes (MDPs) which are a standard model for
probabilistic systems.We focus on qualitative properties forMDPs that can express
that desired behaviors of the system arise almost-surely (with probability 1)
or with positive probability. We introduce a new simulation relation to capture
the refinement relation ofMDPs with respect to qualitative properties, and present
discrete graph theoretic algorithms with quadratic complexity to compute the simulation
relation.We present an automated technique for assume-guarantee style reasoning
for compositional analysis ofMDPs with qualitative properties by giving a counterexample
guided abstraction-refinement approach to compute our new simulation relation.
We have implemented our algorithms and show that the compositional analysis leads
to significant improvements.
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: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
citation:
ama: 'Chatterjee K, Chmelik M, Daca P. CEGAR for qualitative analysis of probabilistic
systems. In: Vol 8559. Springer; 2014:473-490. doi:10.1007/978-3-319-08867-9_31'
apa: 'Chatterjee, K., Chmelik, M., & Daca, P. (2014). CEGAR for qualitative
analysis of probabilistic systems (Vol. 8559, pp. 473–490). Presented at the CAV:
Computer Aided Verification, Vienna, Austria: Springer. https://doi.org/10.1007/978-3-319-08867-9_31'
chicago: Chatterjee, Krishnendu, Martin Chmelik, and Przemyslaw Daca. “CEGAR for
Qualitative Analysis of Probabilistic Systems,” 8559:473–90. Springer, 2014. https://doi.org/10.1007/978-3-319-08867-9_31.
ieee: 'K. Chatterjee, M. Chmelik, and P. Daca, “CEGAR for qualitative analysis of
probabilistic systems,” presented at the CAV: Computer Aided Verification, Vienna,
Austria, 2014, vol. 8559, pp. 473–490.'
ista: 'Chatterjee K, Chmelik M, Daca P. 2014. CEGAR for qualitative analysis of
probabilistic systems. CAV: Computer Aided Verification, LNCS, vol. 8559, 473–490.'
mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic
Systems. Vol. 8559, Springer, 2014, pp. 473–90, doi:10.1007/978-3-319-08867-9_31.
short: K. Chatterjee, M. Chmelik, P. Daca, in:, Springer, 2014, pp. 473–490.
conference:
end_date: 2014-07-22
location: Vienna, Austria
name: 'CAV: Computer Aided Verification'
start_date: 2014-07-18
date_created: 2018-12-11T11:55:30Z
date_published: 2014-07-01T00:00:00Z
date_updated: 2023-09-07T11:58:33Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-08867-9_31
ec_funded: 1
intvolume: ' 8559'
language:
- iso: eng
month: '07'
oa_version: None
page: 473 - 490
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _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
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication_status: published
publisher: Springer
publist_id: '4978'
quality_controlled: '1'
related_material:
record:
- id: '5412'
relation: earlier_version
status: public
- id: '5413'
relation: earlier_version
status: public
- id: '5414'
relation: earlier_version
status: public
- id: '1155'
relation: dissertation_contains
status: public
status: public
title: CEGAR for qualitative analysis of probabilistic systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8559
year: '2014'
...
---
_id: '5428'
abstract:
- lang: eng
text: "Simulation is an attractive alternative for language inclusion for automata
as it is an under-approximation of language inclusion, but usually has much lower
complexity. For non-deterministic automata, while language inclusion is PSPACE-complete,
simulation can be computed in polynomial time. Simulation has also been extended
in two orthogonal directions, namely, (1) fair simulation, for simulation over
specified set of infinite runs; and (2) quantitative simulation, for simulation
between weighted automata. Again, while fair trace inclusion is PSPACE-complete,
fair simulation can be computed in polynomial time. For weighted automata, the
(quantitative) language inclusion problem is undecidable for mean-payoff automata
and the decidability is open for discounted-sum automata, whereas the (quantitative)
simulation reduce to mean-payoff games and discounted-sum games, which admit pseudo-polynomial
time algorithms.\r\n\r\nIn this work, we study (quantitative) simulation for weighted
automata with Büchi acceptance conditions, i.e., we generalize fair simulation
from non-weighted automata to weighted automata. We show that imposing Büchi acceptance
conditions on weighted automata changes many fundamental properties of the simulation
games. For example, whereas for mean-payoff and discounted-sum games, the players
do not need memory to play optimally; we show in contrast that for simulation
games with Büchi acceptance conditions, (i) for mean-payoff objectives, optimal
strategies for both players require infinite memory in general, and (ii) for discounted-sum
objectives, optimal strategies need not exist for both players. While the simulation
games with Büchi acceptance conditions are more complicated (e.g., due to infinite-memory
requirements for mean-payoff objectives) as compared to their counterpart without
Büchi acceptance conditions, we still present pseudo-polynomial time algorithms
to solve simulation games with Büchi acceptance conditions for both weighted mean-payoff
and weighted discounted-sum automata."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
- first_name: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: Chatterjee K, Henzinger TA, Otop J, Velner Y. Quantitative Fair Simulation
Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-315-v1-1
apa: Chatterjee, K., Henzinger, T. A., Otop, J., & Velner, Y. (2014). Quantitative
fair simulation games. IST Austria. https://doi.org/10.15479/AT:IST-2014-315-v1-1
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Yaron Velner.
Quantitative Fair Simulation Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-315-v1-1.
ieee: K. Chatterjee, T. A. Henzinger, J. Otop, and Y. Velner, Quantitative fair
simulation games. IST Austria, 2014.
ista: Chatterjee K, Henzinger TA, Otop J, Velner Y. 2014. Quantitative fair simulation
games, IST Austria, 26p.
mla: Chatterjee, Krishnendu, et al. Quantitative Fair Simulation Games. IST
Austria, 2014, doi:10.15479/AT:IST-2014-315-v1-1.
short: K. Chatterjee, T.A. Henzinger, J. Otop, Y. Velner, Quantitative Fair Simulation
Games, IST Austria, 2014.
date_created: 2018-12-12T11:39:16Z
date_published: 2014-12-05T00:00:00Z
date_updated: 2023-09-20T12:07:48Z
day: '05'
ddc:
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.15479/AT:IST-2014-315-v1-1
file:
- access_level: open_access
checksum: b1d573bc04365625ff9974880c0aa807
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:59Z
date_updated: 2020-07-14T12:46:52Z
file_id: '5521'
file_name: IST-2014-315-v1+1_report.pdf
file_size: 531046
relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '26'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '315'
related_material:
record:
- id: '1066'
relation: later_version
status: public
status: public
title: Quantitative fair simulation games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...