Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Soo, Terry"'
By representing any constraint-based causal learning algorithm via a placeholder property, we decompose the correctness condition into a part relating the distribution and the true causal graph, and a part that depends solely on the distribution. Thi
Externí odkaz:
http://arxiv.org/abs/2408.07575
By relaxing conditions for natural structure learning algorithms, a family of constraint-based algorithms containing all exact structure learning algorithms under the faithfulness assumption, we define localised natural structure learning algorithms
Externí odkaz:
http://arxiv.org/abs/2402.14775
Autor:
Sadeghi, Kayvan, Soo, Terry
Causal intervention is an essential tool in causal inference. It is axiomatized under the rules of do-calculus in the case of structure causal models. We provide simple axiomatizations for families of probability distributions to be different types o
Externí odkaz:
http://arxiv.org/abs/2305.04479
Autor:
Kosloff, Zemer, Soo, Terry
Publikováno v:
J. Mod. Dyn., 20:597-634, 2024
We show that a totally dissipative system has all nonsingular systems as factors, but that this is no longer true when the factor maps are required to be finitary. In particular, if a nonsingular Bernoulli shift satisfies the Doeblin condition, and h
Externí odkaz:
http://arxiv.org/abs/2111.14497
Autor:
Sadeghi, Kayvan, Soo, Terry
Publikováno v:
Journal of Machine Learning Research 23 (2022) 1-34
We formalize constraint-based structure learning of the "true" causal graph from observed data when unobserved variables are also existent. We provide conditions for a "natural" family of constraint-based structure-learning algorithms that output gra
Externí odkaz:
http://arxiv.org/abs/2103.13521
Autor:
Kosloff, Zemer, Soo, Terry
We give elementary constructions of factors of nonsingular Bernoulli shifts. In particular, we show that all nonsingular Bernoulli shifts on a finite number of symbols which satisfy the Doeblin condition have a factor that is equivalent to an indepen
Externí odkaz:
http://arxiv.org/abs/2010.04636
Autor:
Kosloff, Zemer, Soo, Terry
Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distribut
Externí odkaz:
http://arxiv.org/abs/2005.02812
Akademický článek
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Autor:
Kosloff, Zemer, Soo, Terry
Publikováno v:
Ann. Probab., 48(4):1966-1979, 2020
Ornstein and Shields (Advances in Math., 10:143-146, 1973) proved that Brownian motion reflected on a bounded region is an infinite entropy Bernoulli flow and thus Ornstein theory yielded the existence of a measure-preserving isomorphism between any
Externí odkaz:
http://arxiv.org/abs/1905.07867
Autor:
Soo, Terry
A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processes and continuous-time irreducible Markov chains on a finite number of states are isomorphic as measure-preserving systems. We give an elementary const
Externí odkaz:
http://arxiv.org/abs/1806.09349