Stability of the Shannon–Stam inequality via the Föllmer process
Sign Up to like & getrecommendations! Published in 2019 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-020-00967-w
Abstract: We prove stability estimates for the Shannon–Stam inequality (also known as the entropy-power inequality) for log-concave random vectors in terms of entropy and transportation distance. In particular, we give the first stability estimate for general… read more here.
Keywords: inequality; stability; log concave; shannon stam ... See more keywords
Incomplete paired comparisons in case of multiple choice and general log-concave probability density functions
Sign Up to like & getrecommendations! Published in 2019 at "Central European Journal of Operations Research"
DOI: 10.1007/s10100-018-0568-1
Abstract: A scoring method based on paired comparison allowing multiple choice is investigated. We allow general log-concave probability density functions for the random variables describing the difference of the objects. This case involves Bradley–Terry models and… read more here.
Keywords: general log; case; probability density; concave probability ... See more keywords
Signaling Games for Log-Concave Distributions: Number of Bins and Properties of Equilibria
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3130672
Abstract: We investigate the equilibrium behavior for the decentralized cheap talk problem for real random variables and quadratic cost criteria in which an encoder and a decoder have misaligned objective functions. In prior work, it has… read more here.
Keywords: equilibrium; number; number bins; log concave ... See more keywords
Absolute continuity of distributions of polynomials on spaces with log-concave measures
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617010035
Abstract: In the paper, it is proved that the distribution of a measurable polynomial on an infinite-dimensional space with log-concave measure is absolutely continuous if the polynomial is not equal to a constant almost everywhere. A… read more here.
Keywords: continuity distributions; polynomials spaces; measure; distributions polynomials ... See more keywords
Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications
Sign Up to like & getrecommendations! Published in 2017 at "Canadian Journal of Mathematics"
DOI: 10.4153/cjm-2016-046-3
Abstract: Abstract We review some simple techniques based on monotone-mass transport that allow us to obtain transport-type inequalities for any log-concave probability measures, and for more general measures as well. We discuss quantitative forms of these… read more here.
Keywords: quantitative forms; transport inequalities; concave measures; inequalities log ... See more keywords