3 Search Results for "Lang, Richard"

Document
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2016.35
Estimating Parameters Associated with Monotone Properties

Authors: Carlos Hoppen, Yoshiharu Kohayakawa, Richard Lang, Hanno Lefmann, and Henrique Stagni

Published in: LIPIcs, Volume 60, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)

Abstract
There has been substantial interest in estimating the value of a graph parameter, i.e., of a real function defined on the set of finite graphs, by sampling a randomly chosen substructure whose size is independent of the size of the input. Graph parameters that may be successfully estimated in this way are said to be testable or estimable, and the sample complexity q_z=q_z(epsilon) of an estimable parameter z is the size of the random sample required to ensure that the value of z(G) may be estimated within error epsilon with probability at least 2/3. In this paper, we study the sample complexity of estimating two graph parameters associated with a monotone graph property, improving previously known results. To obtain our results, we prove that the vertex set of any graph that satisfies a monotone property P may be partitioned equitably into a constant number of classes in such a way that the cluster graph induced by the partition is not far from satisfying a natural weighted graph generalization of P}. Properties for which this holds are said to be recoverable, and the study of recoverable properties may be of independent interest.
Cite as

Carlos Hoppen, Yoshiharu Kohayakawa, Richard Lang, Hanno Lefmann, and Henrique Stagni. Estimating Parameters Associated with Monotone Properties. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 60, pp. 35:1-35:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{hoppen_et_al:LIPIcs.APPROX-RANDOM.2016.35,
  author =	{Hoppen, Carlos and Kohayakawa, Yoshiharu and Lang, Richard and Lefmann, Hanno and Stagni, Henrique},
  title =	{{Estimating Parameters Associated with Monotone Properties}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)},
  pages =	{35:1--35:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-018-7},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{60},
  editor =	{Jansen, Klaus and Mathieu, Claire and Rolim, Jos\'{e} D. P. and Umans, Chris},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2016.35},
  URN =		{urn:nbn:de:0030-drops-66588},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2016.35},
  annote =	{Keywords: parameter estimation, parameter testing, edit distance to monotone graph properties, entropy of subgraph classes, speed of subgraph classes}
}
Document
DOI: 10.4230/DagSemProc.07351.6
A Method for Reasoning about other Agents' Beliefs from Observations

Authors: Alexander Nittka and Richard Booth

Published in: Dagstuhl Seminar Proceedings, Volume 7351, Formal Models of Belief Change in Rational Agents (2007)

Abstract
Traditional work in belief revision deals with the question of what an agent should believe upon receiving new information. We will give an overview about what can be concluded about an agent based on an observation of its belief revision behaviour. The observation contains partial information about the revision inputs received by the agent and its beliefs upon receiving them. We will sketch a method for reasoning about past and future beliefs of the agent and predicting which inputs it accepts and rejects. The focus of this talk will be on different degrees of incompleteness of the observation and variants of the general question we are able to deal with.
Cite as

Alexander Nittka and Richard Booth. A Method for Reasoning about other Agents' Beliefs from Observations. In Formal Models of Belief Change in Rational Agents. Dagstuhl Seminar Proceedings, Volume 7351, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{nittka_et_al:DagSemProc.07351.6,
  author =	{Nittka, Alexander and Booth, Richard},
  title =	{{A Method for Reasoning about other Agents' Beliefs from Observations}},
  booktitle =	{Formal Models of Belief Change in Rational Agents},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7351},
  editor =	{Giacomo Bonanno and James Delgrande and J\'{e}r\^{o}me Lang and Hans Rott},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.07351.6},
  URN =		{urn:nbn:de:0030-drops-12148},
  doi =		{10.4230/DagSemProc.07351.6},
  annote =	{Keywords: Belief revision, iterated revision, non-prioritised revision, non-monotonic reasoning, rational closure, rational explanation}
}
Document
DOI: 10.4230/DagSemProc.05321.9
Beyond the Rational Explanation

Authors: Richard Booth and Alexander Nittka

Published in: Dagstuhl Seminar Proceedings, Volume 5321, Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics (2005)

Abstract
In recent work, we proposed a method of reconstructing an agent's epistemic state from observations of its revision history. These observations contained information of what the agent believed after receiving which input. In this presentation we intend to illustrate an extension of the work - allowing the observations to contain additional information of what the agent did *not* believe after a revision step. We will show that the BR-framework we assumed is only partially satisfactory for handling the extended observations.
Cite as

Richard Booth and Alexander Nittka. Beyond the Rational Explanation. In Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics. Dagstuhl Seminar Proceedings, Volume 5321, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)

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@InProceedings{booth_et_al:DagSemProc.05321.9,
  author =	{Booth, Richard and Nittka, Alexander},
  title =	{{Beyond the Rational Explanation}},
  booktitle =	{Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{5321},
  editor =	{James Delgrande and Jerome Lang and Hans Rott and Jean-Marc Tallon},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.05321.9},
  URN =		{urn:nbn:de:0030-drops-3326},
  doi =		{10.4230/DagSemProc.05321.9},
  annote =	{Keywords: Belief revision, iterated revision, non-prioritised revision, non-monotonic reasoning, rational closure, rational explanation}
}
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