---
_id: '1335'
abstract:
- lang: eng
text: In this paper we review various automata-theoretic formalisms for expressing
quantitative properties. We start with finite-state Boolean automata that express
the traditional regular properties. We then consider weighted ω-automata that
can measure the average density of events, which finite-state Boolean automata
cannot. However, even weighted ω-automata cannot express basic performance properties
like average response time. We finally consider two formalisms of weighted ω-automata
with monitors, where the monitors are either (a) counters or (b) weighted automata
themselves. We present a translation result to establish that these two formalisms
are equivalent. Weighted ω-automata with monitors generalize weighted ω-automata,
and can express average response time property. They present a natural, robust,
and expressive framework for quantitative specifications, with important decidable
properties.
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: 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
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Quantitative monitor automata. In: Vol
9837. Springer; 2016:23-38. doi:10.1007/978-3-662-53413-7_2'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2016). Quantitative monitor
automata (Vol. 9837, pp. 23–38). Presented at the SAS: Static Analysis Symposium,
Edinburgh, United Kingdom: Springer. https://doi.org/10.1007/978-3-662-53413-7_2'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Quantitative
Monitor Automata,” 9837:23–38. Springer, 2016. https://doi.org/10.1007/978-3-662-53413-7_2.
ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Quantitative monitor automata,”
presented at the SAS: Static Analysis Symposium, Edinburgh, United Kingdom, 2016,
vol. 9837, pp. 23–38.'
ista: 'Chatterjee K, Henzinger TA, Otop J. 2016. Quantitative monitor automata.
SAS: Static Analysis Symposium, LNCS, vol. 9837, 23–38.'
mla: Chatterjee, Krishnendu, et al. Quantitative Monitor Automata. Vol. 9837,
Springer, 2016, pp. 23–38, doi:10.1007/978-3-662-53413-7_2.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Springer, 2016, pp. 23–38.
conference:
end_date: 2016-09-10
location: Edinburgh, United Kingdom
name: 'SAS: Static Analysis Symposium'
start_date: 2016-09-08
date_created: 2018-12-11T11:51:26Z
date_published: 2016-08-31T00:00:00Z
date_updated: 2021-01-12T06:49:58Z
day: '31'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-662-53413-7_2
ec_funded: 1
intvolume: ' 9837'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.06764
month: '08'
oa: 1
oa_version: Preprint
page: 23 - 38
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: Springer
publist_id: '5932'
quality_controlled: '1'
scopus_import: 1
status: public
title: Quantitative monitor automata
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9837
year: '2016'
...
---
_id: '1340'
abstract:
- lang: eng
text: We study repeated games with absorbing states, a type of two-player, zero-sum
concurrent mean-payoff games with the prototypical example being the Big Match
of Gillete (1957). These games may not allow optimal strategies but they always
have ε-optimal strategies. In this paper we design ε-optimal strategies for Player
1 in these games that use only O(log log T) space. Furthermore, we construct strategies
for Player 1 that use space s(T), for an arbitrary small unbounded non-decreasing
function s, and which guarantee an ε-optimal value for Player 1 in the limit superior
sense. The previously known strategies use space Ω(log T) and it was known that
no strategy can use constant space if it is ε-optimal even in the limit superior
sense. We also give a complementary lower bound. Furthermore, we also show that
no Markov strategy, even extended with finite memory, can ensure value greater
than 0 in the Big Match, answering a question posed by Neyman [11].
alternative_title:
- LNCS
author:
- first_name: Kristoffer
full_name: Hansen, Kristoffer
last_name: Hansen
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Michal
full_name: Koucký, Michal
last_name: Koucký
citation:
ama: 'Hansen K, Ibsen-Jensen R, Koucký M. The big match in small space. In: Vol
9928. Springer; 2016:64-76. doi:10.1007/978-3-662-53354-3_6'
apa: 'Hansen, K., Ibsen-Jensen, R., & Koucký, M. (2016). The big match in small
space (Vol. 9928, pp. 64–76). Presented at the SAGT: Symposium on Algorithmic
Game Theory, Liverpool, United Kingdom: Springer. https://doi.org/10.1007/978-3-662-53354-3_6'
chicago: Hansen, Kristoffer, Rasmus Ibsen-Jensen, and Michal Koucký. “The Big Match
in Small Space,” 9928:64–76. Springer, 2016. https://doi.org/10.1007/978-3-662-53354-3_6.
ieee: 'K. Hansen, R. Ibsen-Jensen, and M. Koucký, “The big match in small space,”
presented at the SAGT: Symposium on Algorithmic Game Theory, Liverpool, United
Kingdom, 2016, vol. 9928, pp. 64–76.'
ista: 'Hansen K, Ibsen-Jensen R, Koucký M. 2016. The big match in small space. SAGT:
Symposium on Algorithmic Game Theory, LNCS, vol. 9928, 64–76.'
mla: Hansen, Kristoffer, et al. The Big Match in Small Space. Vol. 9928,
Springer, 2016, pp. 64–76, doi:10.1007/978-3-662-53354-3_6.
short: K. Hansen, R. Ibsen-Jensen, M. Koucký, in:, Springer, 2016, pp. 64–76.
conference:
end_date: 2016-09-21
location: Liverpool, United Kingdom
name: 'SAGT: Symposium on Algorithmic Game Theory'
start_date: 2016-09-19
date_created: 2018-12-11T11:51:28Z
date_published: 2016-09-01T00:00:00Z
date_updated: 2021-01-12T06:50:00Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-53354-3_6
ec_funded: 1
intvolume: ' 9928'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.07634
month: '09'
oa: 1
oa_version: Preprint
page: 64 - 76
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication_status: published
publisher: Springer
publist_id: '5927'
quality_controlled: '1'
scopus_import: 1
status: public
title: The big match in small space
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9928
year: '2016'
...
---
_id: '1380'
abstract:
- lang: eng
text: We consider higher-dimensional versions of Kannan and Lipton's Orbit Problem
- determining whether a target vector space V may be reached from a starting point
x under repeated applications of a linear transformation A. Answering two questions
posed by Kannan and Lipton in the 1980s, we show that when V has dimension one,
this problem is solvable in polynomial time, and when V has dimension two or three,
the problem is in NPRP.
article_number: '23'
author:
- first_name: Ventsislav K
full_name: Chonev, Ventsislav K
id: 36CBE2E6-F248-11E8-B48F-1D18A9856A87
last_name: Chonev
- first_name: Joël
full_name: Ouaknine, Joël
last_name: Ouaknine
- first_name: James
full_name: Worrell, James
last_name: Worrell
citation:
ama: Chonev VK, Ouaknine J, Worrell J. On the complexity of the orbit problem. Journal
of the ACM. 2016;63(3). doi:10.1145/2857050
apa: Chonev, V. K., Ouaknine, J., & Worrell, J. (2016). On the complexity of
the orbit problem. Journal of the ACM. ACM. https://doi.org/10.1145/2857050
chicago: Chonev, Ventsislav K, Joël Ouaknine, and James Worrell. “On the Complexity
of the Orbit Problem.” Journal of the ACM. ACM, 2016. https://doi.org/10.1145/2857050.
ieee: V. K. Chonev, J. Ouaknine, and J. Worrell, “On the complexity of the orbit
problem,” Journal of the ACM, vol. 63, no. 3. ACM, 2016.
ista: Chonev VK, Ouaknine J, Worrell J. 2016. On the complexity of the orbit problem.
Journal of the ACM. 63(3), 23.
mla: Chonev, Ventsislav K., et al. “On the Complexity of the Orbit Problem.” Journal
of the ACM, vol. 63, no. 3, 23, ACM, 2016, doi:10.1145/2857050.
short: V.K. Chonev, J. Ouaknine, J. Worrell, Journal of the ACM 63 (2016).
date_created: 2018-12-11T11:51:41Z
date_published: 2016-06-01T00:00:00Z
date_updated: 2021-01-12T06:50:17Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/2857050
intvolume: ' 63'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1303.2981
month: '06'
oa: 1
oa_version: Preprint
publication: Journal of the ACM
publication_status: published
publisher: ACM
publist_id: '5831'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the complexity of the orbit problem
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 63
year: '2016'
...
---
_id: '1389'
abstract:
- lang: eng
text: "The continuous evolution of a wide variety of systems, including continous-time
Markov chains and linear hybrid automata, can be\r\ndescribed in terms of linear
differential equations. In this paper we study the decision problem of whether
the solution x(t) of a system of linear differential equations dx/dt = Ax reaches
a target halfspace infinitely often. This recurrent reachability problem can\r\nequivalently
be formulated as the following Infinite Zeros Problem: does a real-valued function
f:R≥0 --> R satisfying a given linear\r\ndifferential equation have infinitely
many zeros? Our main decidability result is that if the differential equation
has order at most 7, then the Infinite Zeros Problem is decidable. On the other
hand, we show that a decision procedure for the Infinite Zeros Problem at order
9 (and above) would entail a major breakthrough in Diophantine Approximation,
specifically an algorithm for computing the Lagrange constants of arbitrary real
algebraic numbers to arbitrary precision."
author:
- first_name: Ventsislav K
full_name: Chonev, Ventsislav K
id: 36CBE2E6-F248-11E8-B48F-1D18A9856A87
last_name: Chonev
- first_name: Joël
full_name: Ouaknine, Joël
last_name: Ouaknine
- first_name: James
full_name: Worrell, James
last_name: Worrell
citation:
ama: 'Chonev VK, Ouaknine J, Worrell J. On recurrent reachability for continuous
linear dynamical systems. In: LICS ’16. IEEE; 2016:515-524. doi:10.1145/2933575.2934548'
apa: 'Chonev, V. K., Ouaknine, J., & Worrell, J. (2016). On recurrent reachability
for continuous linear dynamical systems. In LICS ’16 (pp. 515–524). New
York, NY, USA: IEEE. https://doi.org/10.1145/2933575.2934548'
chicago: Chonev, Ventsislav K, Joël Ouaknine, and James Worrell. “On Recurrent Reachability
for Continuous Linear Dynamical Systems.” In LICS ’16, 515–24. IEEE, 2016.
https://doi.org/10.1145/2933575.2934548.
ieee: V. K. Chonev, J. Ouaknine, and J. Worrell, “On recurrent reachability for
continuous linear dynamical systems,” in LICS ’16, New York, NY, USA, 2016,
pp. 515–524.
ista: 'Chonev VK, Ouaknine J, Worrell J. 2016. On recurrent reachability for continuous
linear dynamical systems. LICS ’16. LICS: Logic in Computer Science, 515–524.'
mla: Chonev, Ventsislav K., et al. “On Recurrent Reachability for Continuous Linear
Dynamical Systems.” LICS ’16, IEEE, 2016, pp. 515–24, doi:10.1145/2933575.2934548.
short: V.K. Chonev, J. Ouaknine, J. Worrell, in:, LICS ’16, IEEE, 2016, pp. 515–524.
conference:
end_date: 2018-07-08
location: New York, NY, USA
name: 'LICS: Logic in Computer Science'
start_date: 2018-07-05
date_created: 2018-12-11T11:51:44Z
date_published: 2016-07-05T00:00:00Z
date_updated: 2021-01-12T06:50:20Z
day: '05'
department:
- _id: KrCh
doi: 10.1145/2933575.2934548
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1507.03632
month: '07'
oa: 1
oa_version: Preprint
page: 515 - 524
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication: LICS '16
publication_status: published
publisher: IEEE
publist_id: '5820'
quality_controlled: '1'
scopus_import: 1
status: public
title: On recurrent reachability for continuous linear dynamical systems
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '1426'
abstract:
- lang: eng
text: 'Brood parasites exploit their host in order to increase their own fitness.
Typically, this results in an arms race between parasite trickery and host defence.
Thus, it is puzzling to observe hosts that accept parasitism without any resistance.
The ‘mafia’ hypothesis suggests that these hosts accept parasitism to avoid retaliation.
Retaliation has been shown to evolve when the hosts condition their response to
mafia parasites, who use depredation as a targeted response to rejection. However,
it is unclear if acceptance would also emerge when ‘farming’ parasites are present
in the population. Farming parasites use depredation to synchronize the timing
with the host, destroying mature clutches to force the host to re-nest. Herein,
we develop an evolutionary model to analyse the interaction between depredatory
parasites and their hosts. We show that coevolutionary cycles between farmers
and mafia can still induce host acceptance of brood parasites. However, this equilibrium
is unstable and in the long-run the dynamics of this host–parasite interaction
exhibits strong oscillations: when farmers are the majority, accepters conditional
to mafia (the host will reject first and only accept after retaliation by the
parasite) have a higher fitness than unconditional accepters (the host always
accepts parasitism). This leads to an increase in mafia parasites’ fitness and
in turn induce an optimal environment for accepter hosts.'
acknowledgement: C.H. gratefully acknowledges funding by the Schrödinger scholarship
of the Austrian Science Fund (FWF) J3475.
article_number: '160036'
author:
- first_name: Maria
full_name: Chakra, Maria
last_name: Chakra
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Arne
full_name: Traulsen, Arne
last_name: Traulsen
citation:
ama: Chakra M, Hilbe C, Traulsen A. Coevolutionary interactions between farmers
and mafia induce host acceptance of avian brood parasites. Royal Society Open
Science. 2016;3(5). doi:10.1098/rsos.160036
apa: Chakra, M., Hilbe, C., & Traulsen, A. (2016). Coevolutionary interactions
between farmers and mafia induce host acceptance of avian brood parasites. Royal
Society Open Science. Royal Society, The. https://doi.org/10.1098/rsos.160036
chicago: Chakra, Maria, Christian Hilbe, and Arne Traulsen. “Coevolutionary Interactions
between Farmers and Mafia Induce Host Acceptance of Avian Brood Parasites.” Royal
Society Open Science. Royal Society, The, 2016. https://doi.org/10.1098/rsos.160036.
ieee: M. Chakra, C. Hilbe, and A. Traulsen, “Coevolutionary interactions between
farmers and mafia induce host acceptance of avian brood parasites,” Royal Society
Open Science, vol. 3, no. 5. Royal Society, The, 2016.
ista: Chakra M, Hilbe C, Traulsen A. 2016. Coevolutionary interactions between farmers
and mafia induce host acceptance of avian brood parasites. Royal Society Open
Science. 3(5), 160036.
mla: Chakra, Maria, et al. “Coevolutionary Interactions between Farmers and Mafia
Induce Host Acceptance of Avian Brood Parasites.” Royal Society Open Science,
vol. 3, no. 5, 160036, Royal Society, The, 2016, doi:10.1098/rsos.160036.
short: M. Chakra, C. Hilbe, A. Traulsen, Royal Society Open Science 3 (2016).
date_created: 2018-12-11T11:51:57Z
date_published: 2016-05-01T00:00:00Z
date_updated: 2021-01-12T06:50:39Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rsos.160036
file:
- access_level: open_access
checksum: bf84211b31fe87451e738ba301d729c3
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:14:49Z
date_updated: 2020-07-14T12:44:53Z
file_id: '5104'
file_name: IST-2016-589-v1+1_160036.full.pdf
file_size: 937002
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 3'
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Royal Society Open Science
publication_status: published
publisher: Royal Society, The
publist_id: '5776'
pubrep_id: '589'
quality_controlled: '1'
scopus_import: 1
status: public
title: Coevolutionary interactions between farmers and mafia induce host acceptance
of avian brood parasites
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2016'
...
---
_id: '1423'
abstract:
- lang: eng
text: 'Direct reciprocity is a mechanism for the evolution of cooperation based
on repeated interactions. When individuals meet repeatedly, they can use conditional
strategies to enforce cooperative outcomes that would not be feasible in one-shot
social dilemmas. Direct reciprocity requires that individuals keep track of their
past interactions and find the right response. However, there are natural bounds
on strategic complexity: Humans find it difficult to remember past interactions
accurately, especially over long timespans. Given these limitations, it is natural
to ask how complex strategies need to be for cooperation to evolve. Here, we study
stochastic evolutionary game dynamics in finite populations to systematically
compare the evolutionary performance of reactive strategies, which only respond
to the co-player''s previous move, and memory-one strategies, which take into
account the own and the co-player''s previous move. In both cases, we compare
deterministic strategy and stochastic strategy spaces. For reactive strategies
and small costs, we find that stochasticity benefits cooperation, because it allows
for generous-tit-for-tat. For memory one strategies and small costs, we find that
stochasticity does not increase the propensity for cooperation, because the deterministic
rule of win-stay, lose-shift works best. For memory one strategies and large costs,
however, stochasticity can augment cooperation.'
acknowledgement: C.H. acknowledges generous funding from the Schrödinger scholarship
of the Austrian Science Fund (FWF), J3475.
article_number: '25676'
author:
- first_name: Seung
full_name: Baek, Seung
last_name: Baek
- first_name: Hyeongchai
full_name: Jeong, Hyeongchai
last_name: Jeong
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Baek S, Jeong H, Hilbe C, Nowak M. Comparing reactive and memory-one strategies
of direct reciprocity. Scientific Reports. 2016;6. doi:10.1038/srep25676
apa: Baek, S., Jeong, H., Hilbe, C., & Nowak, M. (2016). Comparing reactive
and memory-one strategies of direct reciprocity. Scientific Reports. Nature
Publishing Group. https://doi.org/10.1038/srep25676
chicago: Baek, Seung, Hyeongchai Jeong, Christian Hilbe, and Martin Nowak. “Comparing
Reactive and Memory-One Strategies of Direct Reciprocity.” Scientific Reports.
Nature Publishing Group, 2016. https://doi.org/10.1038/srep25676.
ieee: S. Baek, H. Jeong, C. Hilbe, and M. Nowak, “Comparing reactive and memory-one
strategies of direct reciprocity,” Scientific Reports, vol. 6. Nature Publishing
Group, 2016.
ista: Baek S, Jeong H, Hilbe C, Nowak M. 2016. Comparing reactive and memory-one
strategies of direct reciprocity. Scientific Reports. 6, 25676.
mla: Baek, Seung, et al. “Comparing Reactive and Memory-One Strategies of Direct
Reciprocity.” Scientific Reports, vol. 6, 25676, Nature Publishing Group,
2016, doi:10.1038/srep25676.
short: S. Baek, H. Jeong, C. Hilbe, M. Nowak, Scientific Reports 6 (2016).
date_created: 2018-12-11T11:51:56Z
date_published: 2016-05-10T00:00:00Z
date_updated: 2021-01-12T06:50:38Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1038/srep25676
file:
- access_level: open_access
checksum: ee17c482370d2e1b3add393710d3c696
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:08Z
date_updated: 2020-07-14T12:44:53Z
file_id: '5327'
file_name: IST-2016-590-v1+1_srep25676.pdf
file_size: 1349915
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 6'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Scientific Reports
publication_status: published
publisher: Nature Publishing Group
publist_id: '5784'
pubrep_id: '590'
quality_controlled: '1'
scopus_import: 1
status: public
title: Comparing reactive and memory-one strategies of direct reciprocity
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2016'
...
---
_id: '1518'
abstract:
- lang: eng
text: The inference of demographic history from genome data is hindered by a lack
of efficient computational approaches. In particular, it has proved difficult
to exploit the information contained in the distribution of genealogies across
the genome. We have previously shown that the generating function (GF) of genealogies
can be used to analytically compute likelihoods of demographic models from configurations
of mutations in short sequence blocks (Lohse et al. 2011). Although the GF has
a simple, recursive form, the size of such likelihood calculations explodes quickly
with the number of individuals and applications of this framework have so far
been mainly limited to small samples (pairs and triplets) for which the GF can
be written by hand. Here we investigate several strategies for exploiting the
inherent symmetries of the coalescent. In particular, we show that the GF of genealogies
can be decomposed into a set of equivalence classes that allows likelihood calculations
from nontrivial samples. Using this strategy, we automated blockwise likelihood
calculations for a general set of demographic scenarios in Mathematica. These
histories may involve population size changes, continuous migration, discrete
divergence, and admixture between multiple populations. To give a concrete example,
we calculate the likelihood for a model of isolation with migration (IM), assuming
two diploid samples without phase and outgroup information. We demonstrate the
new inference scheme with an analysis of two individual butterfly genomes from
the sister species Heliconius melpomene rosina and H. cydno.
acknowledgement: "We thank Lynsey Bunnefeld for discussions throughout the project
and Joshua Schraiber and one anonymous reviewer\r\nfor constructive comments on
an earlier version of this manuscript. This work was supported by funding from the\r\nUnited
Kingdom Natural Environment Research Council (to K.L.) (NE/I020288/1) and a grant
from the European\r\nResearch Council (250152) (to N.H.B.)."
article_processing_charge: No
article_type: original
author:
- first_name: Konrad
full_name: Lohse, Konrad
last_name: Lohse
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Simon
full_name: Martin, Simon
last_name: Martin
- 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, Chmelik M, Martin S, Barton NH. Efficient strategies for calculating
blockwise likelihoods under the coalescent. Genetics. 2016;202(2):775-786.
doi:10.1534/genetics.115.183814
apa: Lohse, K., Chmelik, M., Martin, S., & Barton, N. H. (2016). Efficient strategies
for calculating blockwise likelihoods under the coalescent. Genetics. Genetics
Society of America. https://doi.org/10.1534/genetics.115.183814
chicago: Lohse, Konrad, Martin Chmelik, Simon Martin, and Nicholas H Barton. “Efficient
Strategies for Calculating Blockwise Likelihoods under the Coalescent.” Genetics.
Genetics Society of America, 2016. https://doi.org/10.1534/genetics.115.183814.
ieee: K. Lohse, M. Chmelik, S. Martin, and N. H. Barton, “Efficient strategies for
calculating blockwise likelihoods under the coalescent,” Genetics, vol.
202, no. 2. Genetics Society of America, pp. 775–786, 2016.
ista: Lohse K, Chmelik M, Martin S, Barton NH. 2016. Efficient strategies for calculating
blockwise likelihoods under the coalescent. Genetics. 202(2), 775–786.
mla: Lohse, Konrad, et al. “Efficient Strategies for Calculating Blockwise Likelihoods
under the Coalescent.” Genetics, vol. 202, no. 2, Genetics Society of America,
2016, pp. 775–86, doi:10.1534/genetics.115.183814.
short: K. Lohse, M. Chmelik, S. Martin, N.H. Barton, Genetics 202 (2016) 775–786.
date_created: 2018-12-11T11:52:29Z
date_published: 2016-02-01T00:00:00Z
date_updated: 2022-05-24T09:16:22Z
day: '01'
ddc:
- '570'
department:
- _id: KrCh
- _id: NiBa
doi: 10.1534/genetics.115.183814
ec_funded: 1
external_id:
pmid:
- '26715666'
file:
- access_level: open_access
checksum: 41c9b5d72e7fe4624dd22dfe622337d5
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:51Z
date_updated: 2020-07-14T12:45:00Z
file_id: '5241'
file_name: IST-2016-561-v1+1_Lohse_et_al_Genetics_2015.pdf
file_size: 957466
relation: main_file
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intvolume: ' 202'
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language:
- iso: eng
month: '02'
oa: 1
oa_version: Preprint
page: 775 - 786
pmid: 1
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: '5658'
pubrep_id: '561'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Efficient strategies for calculating blockwise likelihoods under the coalescent
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 202
year: '2016'
...
---
_id: '478'
abstract:
- lang: eng
text: 'Magic: the Gathering is a game about magical combat for any number of players.
Formally it is a zero-sum, imperfect information stochastic game that consists
of a potentially unbounded number of steps. We consider the problem of deciding
if a move is legal in a given single step of Magic. We show that the problem is
(a) coNP-complete in general; and (b) in P if either of two small sets of cards
are not used. Our lower bound holds even for single-player Magic games. The significant
aspects of our results are as follows: First, in most real-life game problems,
the task of deciding whether a given move is legal in a single step is trivial,
and the computationally hard task is to find the best sequence of legal moves
in the presence of multiple players. In contrast, quite uniquely our hardness
result holds for single step and with only one-player. Second, we establish efficient
algorithms for important special cases of Magic.'
alternative_title:
- Frontiers in Artificial Intelligence and Applications
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Chatterjee K, Ibsen-Jensen R. The complexity of deciding legality of a single
step of magic: The gathering. In: Vol 285. IOS Press; 2016:1432-1439. doi:10.3233/978-1-61499-672-9-1432'
apa: 'Chatterjee, K., & Ibsen-Jensen, R. (2016). The complexity of deciding
legality of a single step of magic: The gathering (Vol. 285, pp. 1432–1439). Presented
at the ECAI: European Conference on Artificial Intelligence, The Hague, Netherlands:
IOS Press. https://doi.org/10.3233/978-1-61499-672-9-1432'
chicago: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Deciding
Legality of a Single Step of Magic: The Gathering,” 285:1432–39. IOS Press, 2016.
https://doi.org/10.3233/978-1-61499-672-9-1432.'
ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of deciding legality of
a single step of magic: The gathering,” presented at the ECAI: European Conference
on Artificial Intelligence, The Hague, Netherlands, 2016, vol. 285, pp. 1432–1439.'
ista: 'Chatterjee K, Ibsen-Jensen R. 2016. The complexity of deciding legality of
a single step of magic: The gathering. ECAI: European Conference on Artificial
Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 285,
1432–1439.'
mla: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Complexity of Deciding
Legality of a Single Step of Magic: The Gathering. Vol. 285, IOS Press, 2016,
pp. 1432–39, doi:10.3233/978-1-61499-672-9-1432.'
short: K. Chatterjee, R. Ibsen-Jensen, in:, IOS Press, 2016, pp. 1432–1439.
conference:
end_date: 2016-09-02
location: The Hague, Netherlands
name: 'ECAI: European Conference on Artificial Intelligence'
start_date: 2016-08-29
date_created: 2018-12-11T11:46:41Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:54Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.3233/978-1-61499-672-9-1432
file:
- access_level: open_access
checksum: 848043c812ace05e459579c923f3d3cf
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:07:59Z
date_updated: 2020-07-14T12:46:35Z
file_id: '4658'
file_name: IST-2018-950-v1+1_2016_Chatterjee_The_complexity.pdf
file_size: 2116225
relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 285'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 1432 - 1439
publication_status: published
publisher: IOS Press
publist_id: '7342'
pubrep_id: '950'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The complexity of deciding legality of a single step of magic: The gathering'
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 285
year: '2016'
...
---
_id: '480'
abstract:
- lang: eng
text: Graph games provide the foundation for modeling and synthesizing reactive
processes. In the synthesis of stochastic reactive processes, the traditional
model is perfect-information stochastic games, where some transitions of the game
graph are controlled by two adversarial players, and the other transitions are
executed probabilistically. We consider such games where the objective is the
conjunction of several quantitative objectives (specified as mean-payoff conditions),
which we refer to as generalized mean-payoff objectives. The basic decision problem
asks for the existence of a finite-memory strategy for a player that ensures the
generalized mean-payoff objective be satisfied with a desired probability against
all strategies of the opponent. A special case of the decision problem is the
almost-sure problem where the desired probability is 1. Previous results presented
a semi-decision procedure for -approximations of the almost-sure problem. In this
work, we show that both the almost-sure problem as well as the general basic decision
problem are coNP-complete, significantly improving the previous results. Moreover,
we show that in the case of 1-player stochastic games, randomized memoryless strategies
are sufficient and the problem can be solved in polynomial time. In contrast,
in two-player stochastic games, we show that even with randomized strategies exponential
memory is required in general, and present a matching exponential upper bound.
We also study the basic decision problem with infinite-memory strategies and present
computational complexity results for the problem. Our results are relevant in
the synthesis of stochastic reactive systems with multiple quantitative requirements.
alternative_title:
- Proceedings Symposium on Logic in Computer Science
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: 'Chatterjee K, Doyen L. Perfect-information stochastic games with generalized
mean-payoff objectives. In: Vol 05-08-July-2016. IEEE; 2016:247-256. doi:10.1145/2933575.2934513'
apa: 'Chatterjee, K., & Doyen, L. (2016). Perfect-information stochastic games
with generalized mean-payoff objectives (Vol. 05-08-July-2016, pp. 247–256). Presented
at the LICS: Logic in Computer Science, New York, NY, USA: IEEE. https://doi.org/10.1145/2933575.2934513'
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Perfect-Information Stochastic
Games with Generalized Mean-Payoff Objectives,” 05-08-July-2016:247–56. IEEE,
2016. https://doi.org/10.1145/2933575.2934513.
ieee: 'K. Chatterjee and L. Doyen, “Perfect-information stochastic games with generalized
mean-payoff objectives,” presented at the LICS: Logic in Computer Science, New
York, NY, USA, 2016, vol. 05-08-July-2016, pp. 247–256.'
ista: 'Chatterjee K, Doyen L. 2016. Perfect-information stochastic games with generalized
mean-payoff objectives. LICS: Logic in Computer Science, Proceedings Symposium
on Logic in Computer Science, vol. 05-08-July-2016, 247–256.'
mla: Chatterjee, Krishnendu, and Laurent Doyen. Perfect-Information Stochastic
Games with Generalized Mean-Payoff Objectives. Vol. 05-08-July-2016, IEEE,
2016, pp. 247–56, doi:10.1145/2933575.2934513.
short: K. Chatterjee, L. Doyen, in:, IEEE, 2016, pp. 247–256.
conference:
end_date: 2016-07-08
location: New York, NY, USA
name: 'LICS: Logic in Computer Science'
start_date: 2016-07-05
date_created: 2018-12-11T11:46:42Z
date_published: 2016-07-05T00:00:00Z
date_updated: 2021-01-12T08:00:56Z
day: '05'
department:
- _id: KrCh
doi: 10.1145/2933575.2934513
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.06376
month: '07'
oa: 1
oa_version: Preprint
page: 247 - 256
project:
- _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: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: IEEE
publist_id: '7340'
quality_controlled: '1'
scopus_import: 1
status: public
title: Perfect-information stochastic games with generalized mean-payoff objectives
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 05-08-July-2016
year: '2016'
...
---
_id: '1477'
abstract:
- lang: eng
text: We consider partially observable Markov decision processes (POMDPs) with ω-regular
conditions specified as parity objectives. The class of ω-regular languages provides
a robust specification language to express properties in verification, and parity
objectives are canonical forms to express them. The qualitative analysis problem
given a POMDP and a parity objective asks whether there is a strategy to ensure
that the objective is satisfied with probability 1 (resp. positive probability).
While the qualitative analysis problems are undecidable even for special cases
of parity objectives, we establish decidability (with optimal complexity) for
POMDPs with all parity objectives under finite-memory strategies. We establish
optimal (exponential) memory bounds and EXPTIME-completeness of the qualitative
analysis problems under finite-memory strategies for POMDPs with parity objectives.
We also present a practical approach, where we design heuristics to deal with
the exponential complexity, and have applied our implementation on a number of
POMDP examples.
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: Mathieu
full_name: Tracol, Mathieu
id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
last_name: Tracol
citation:
ama: Chatterjee K, Chmelik M, Tracol M. What is decidable about partially observable
Markov decision processes with ω-regular objectives. Journal of Computer and
System Sciences. 2016;82(5):878-911. doi:10.1016/j.jcss.2016.02.009
apa: Chatterjee, K., Chmelik, M., & Tracol, M. (2016). What is decidable about
partially observable Markov decision processes with ω-regular objectives. Journal
of Computer and System Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2016.02.009
chicago: Chatterjee, Krishnendu, Martin Chmelik, and Mathieu Tracol. “What Is Decidable
about Partially Observable Markov Decision Processes with ω-Regular Objectives.”
Journal of Computer and System Sciences. Elsevier, 2016. https://doi.org/10.1016/j.jcss.2016.02.009.
ieee: K. Chatterjee, M. Chmelik, and M. Tracol, “What is decidable about partially
observable Markov decision processes with ω-regular objectives,” Journal of
Computer and System Sciences, vol. 82, no. 5. Elsevier, pp. 878–911, 2016.
ista: Chatterjee K, Chmelik M, Tracol M. 2016. What is decidable about partially
observable Markov decision processes with ω-regular objectives. Journal of Computer
and System Sciences. 82(5), 878–911.
mla: Chatterjee, Krishnendu, et al. “What Is Decidable about Partially Observable
Markov Decision Processes with ω-Regular Objectives.” Journal of Computer and
System Sciences, vol. 82, no. 5, Elsevier, 2016, pp. 878–911, doi:10.1016/j.jcss.2016.02.009.
short: K. Chatterjee, M. Chmelik, M. Tracol, Journal of Computer and System Sciences
82 (2016) 878–911.
date_created: 2018-12-11T11:52:15Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2023-02-23T12:24:38Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2016.02.009
ec_funded: 1
external_id:
arxiv:
- '1309.2802'
intvolume: ' 82'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1309.2802
month: '08'
oa: 1
oa_version: Preprint
page: 878 - 911
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: Journal of Computer and System Sciences
publication_status: published
publisher: Elsevier
publist_id: '5718'
quality_controlled: '1'
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scopus_import: 1
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title: What is decidable about partially observable Markov decision processes with
ω-regular objectives
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 82
year: '2016'
...