Matches in SemOpenAlex for { <https://semopenalex.org/work/W2914011434> ?p ?o ?g. }
- W2914011434 abstract "We study the identity testing problem in the context of spin systems or undirected graphical models, where it takes the following form: given the parameter specification of the model $M$ and a sampling oracle for the distribution $mu_{hat{M}}$ of an unknown model $hat{M}$, can we efficiently determine if the two models $M$ and $hat{M}$ are the same? We consider identity testing for both soft-constraint and hard-constraint systems. In particular, we prove hardness results in two prototypical cases, the Ising model and proper colorings, and explore whether identity testing is any easier than structure learning. For the ferromagnetic (attractive) Ising model, Daskalakis et al. (2018) presented a polynomial time algorithm for identity testing. We prove hardness results in the antiferromagnetic (repulsive) setting in the same regime of parameters where structure learning is known to require a super-polynomial number of samples. In particular, for $n$-vertex graphs of maximum degree $d$, we prove that if $|beta| d = omega(log{n})$ (where $beta$ is the inverse temperature parameter), then there is no polynomial running time identity testing algorithm unless $RP=NP$. We also establish computational lower bounds for a broader set of parameters under the (randomized) exponential time hypothesis. Our proofs utilize insights into the design of gadgets using random graphs in recent works concerning the hardness of approximate counting by Sly (2010). In the hard-constraint setting, we present hardness results for identity testing for proper colorings. Our results are based on the presumed hardness of #BIS, the problem of (approximately) counting independent sets in bipartite graphs. In particular, we prove that identity testing is hard in the same range of parameters where structure learning is known to be hard." @default.
- W2914011434 created "2019-02-21" @default.
- W2914011434 creator A5008395399 @default.
- W2914011434 creator A5020182392 @default.
- W2914011434 creator A5051363868 @default.
- W2914011434 creator A5055688854 @default.
- W2914011434 creator A5088287514 @default.
- W2914011434 date "2019-01-22" @default.
- W2914011434 modified "2023-09-27" @default.
- W2914011434 title "Lower bounds for testing graphical models: colorings and antiferromagnetic Ising models" @default.
- W2914011434 cites W1501167079 @default.
- W2914011434 cites W1507653385 @default.
- W2914011434 cites W1770469170 @default.
- W2914011434 cites W177847060 @default.
- W2914011434 cites W1824395173 @default.
- W2914011434 cites W1937281308 @default.
- W2914011434 cites W1964923287 @default.
- W2914011434 cites W1968496968 @default.
- W2914011434 cites W1969880349 @default.
- W2914011434 cites W1970630090 @default.
- W2914011434 cites W1977162457 @default.
- W2914011434 cites W1982687752 @default.
- W2914011434 cites W1985572324 @default.
- W2914011434 cites W1989307393 @default.
- W2914011434 cites W2011358434 @default.
- W2914011434 cites W2018047324 @default.
- W2914011434 cites W2018925011 @default.
- W2914011434 cites W2024710200 @default.
- W2914011434 cites W2038383704 @default.
- W2914011434 cites W2042492924 @default.
- W2914011434 cites W2068524660 @default.
- W2914011434 cites W2068674173 @default.
- W2914011434 cites W2071709160 @default.
- W2914011434 cites W2092928619 @default.
- W2914011434 cites W2099650681 @default.
- W2914011434 cites W2100236179 @default.
- W2914011434 cites W2108829665 @default.
- W2914011434 cites W2131686571 @default.
- W2914011434 cites W2136023669 @default.
- W2914011434 cites W2142496058 @default.
- W2914011434 cites W2163166770 @default.
- W2914011434 cites W2177243619 @default.
- W2914011434 cites W2592411267 @default.
- W2914011434 cites W2765846489 @default.
- W2914011434 cites W2799186957 @default.
- W2914011434 cites W2912780563 @default.
- W2914011434 cites W2962932693 @default.
- W2914011434 cites W2963060913 @default.
- W2914011434 cites W2963086649 @default.
- W2914011434 cites W2963225132 @default.
- W2914011434 cites W2963266994 @default.
- W2914011434 cites W2963478756 @default.
- W2914011434 cites W2963499076 @default.
- W2914011434 cites W2963795759 @default.
- W2914011434 cites W2963802772 @default.
- W2914011434 cites W2964313593 @default.
- W2914011434 cites W3009206948 @default.
- W2914011434 cites W3098888484 @default.
- W2914011434 cites W3125284116 @default.
- W2914011434 cites W85976583 @default.
- W2914011434 hasPublicationYear "2019" @default.
- W2914011434 type Work @default.
- W2914011434 sameAs 2914011434 @default.
- W2914011434 citedByCount "0" @default.
- W2914011434 crossrefType "posted-content" @default.
- W2914011434 hasAuthorship W2914011434A5008395399 @default.
- W2914011434 hasAuthorship W2914011434A5020182392 @default.
- W2914011434 hasAuthorship W2914011434A5051363868 @default.
- W2914011434 hasAuthorship W2914011434A5055688854 @default.
- W2914011434 hasAuthorship W2914011434A5088287514 @default.
- W2914011434 hasConcept C105795698 @default.
- W2914011434 hasConcept C114614502 @default.
- W2914011434 hasConcept C118615104 @default.
- W2914011434 hasConcept C121332964 @default.
- W2914011434 hasConcept C121864883 @default.
- W2914011434 hasConcept C123842658 @default.
- W2914011434 hasConcept C151730666 @default.
- W2914011434 hasConcept C155846161 @default.
- W2914011434 hasConcept C24890656 @default.
- W2914011434 hasConcept C2778355321 @default.
- W2914011434 hasConcept C2779343474 @default.
- W2914011434 hasConcept C311688 @default.
- W2914011434 hasConcept C33923547 @default.
- W2914011434 hasConcept C51329190 @default.
- W2914011434 hasConcept C71017364 @default.
- W2914011434 hasConcept C86803240 @default.
- W2914011434 hasConceptScore W2914011434C105795698 @default.
- W2914011434 hasConceptScore W2914011434C114614502 @default.
- W2914011434 hasConceptScore W2914011434C118615104 @default.
- W2914011434 hasConceptScore W2914011434C121332964 @default.
- W2914011434 hasConceptScore W2914011434C121864883 @default.
- W2914011434 hasConceptScore W2914011434C123842658 @default.
- W2914011434 hasConceptScore W2914011434C151730666 @default.
- W2914011434 hasConceptScore W2914011434C155846161 @default.
- W2914011434 hasConceptScore W2914011434C24890656 @default.
- W2914011434 hasConceptScore W2914011434C2778355321 @default.
- W2914011434 hasConceptScore W2914011434C2779343474 @default.
- W2914011434 hasConceptScore W2914011434C311688 @default.
- W2914011434 hasConceptScore W2914011434C33923547 @default.
- W2914011434 hasConceptScore W2914011434C51329190 @default.