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This report documents the program and the outcomes of Dagstuhl Seminar 22482 "Counting and Sampling: Algorithms and Complexity". We document the talks presented, covering many advances in the area made over the last five years. As well, we document t
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https://explore.openaire.eu/search/publication?articleId=doi_________::1a1f5bbe6a5ae7fdd8aaeabff2b7e954
This report documents the program and the outcomes of Dagstuhl Perspectives Workshop 22262 "Human-Centered Artificial Intelligence". The goal of this Dagstuhl Perspectives Workshops is to provide the scientific and technological foundations for desig
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https://explore.openaire.eu/search/publication?articleId=doi_________::305da92333fe26324b4bbd0900cb7c5a
Every language recognized by a non-deterministic finite automaton can be recognized by a deterministic automaton, at the cost of a potential increase of the number of states, which in the worst case can go from n states to 2ⁿ states. In this articl
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Autor:
Mossé, Milan
Dwork, Hardt, Pitassi, Reingold, & Zemel [Dwork et al., 2012] introduced two notions of fairness, each of which is meant to formalize the notion of similar treatment for similarly qualified individuals. The first of these notions, which we call addit
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https://explore.openaire.eu/search/publication?articleId=doi_________::b25380019acf12520450b7028700bcee
We study random constraint satisfaction problems (CSPs) at large clause density. We relate the structure of near-optimal solutions for any Boolean Max-CSP to that for an associated spin glass on the hypercube, using the Guerra-Toninelli interpolation
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49ef9de98fde65762111c88672eacd1f
http://arxiv.org/abs/2210.03006
http://arxiv.org/abs/2210.03006
Autor:
Nandakumar, Satyadev, Pulari, Subin
Publikováno v:
Theory of Computing Systems.
We initiate the study of effective pointwise ergodic theorems in resource-bounded settings. Classically, the convergence of the ergodic averages for integrable functions can be arbitrarily slow [Ulrich Krengel, 1978]. In contrast, we show that for a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e5515ce56ea3a6bbc85ae736623ca63
https://doi.org/10.1007/s00224-022-10094-9
https://doi.org/10.1007/s00224-022-10094-9
Autor:
d'Orsi, Tommaso, Trevisan, Luca
We define a novel notion of ``non-backtracking'' matrix associated to any symmetric matrix, and we prove a ``Ihara-Bass'' type formula for it. We use this theory to prove new results on polynomial-time strong refutations of random constraint satisfac
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51ec3633b8df6cfa6002930b819d8ffd
http://arxiv.org/abs/2204.10881
http://arxiv.org/abs/2204.10881
Autor:
Los, Dimitrios, Sauerwald, Thomas
We study the repeated balls-into-bins process introduced by Becchetti, Clementi, Natale, Pasquale and Posta (2019). This process starts with $m$ balls arbitrarily distributed across $n$ bins. At each round $t=1,2,\ldots$, one ball is selected from ea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2adf992486ea1042f7f9a23a7cd6b0ce
http://arxiv.org/abs/2203.12400
http://arxiv.org/abs/2203.12400
Publikováno v:
International Symposium on Computational Geometry
We consider point sets in the real projective plane $\mathbb{R}P^2$ and explore variants of classical extremal problems about planar point sets in this setting, with a main focus on Erdős--Szekeres-type problems. We provide asymptotically tight boun
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f67d05e34cc52dd3f2a982b402027f34