Results 161 to 170 of about 2,512,365 (409)
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality [PDF]
We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality inequality for entropy. A linearization of this inequality gives an inverse inequality to the Poincar'e inequality for the Gaussian measure.
arxiv
An inequality of the Hölder type, connected with Stieltjes integration [PDF]
Louise Young
openalex +1 more source
Fairness in Federated Learning: Trends, Challenges, and Opportunities
This survey delves into the intricate issues pertinent to fairness in federated learning , where various biasing factors can skew model performance. By systematically analyzing fairness‐aware strategies, evaluation metrics, and future directions, this work identifies pivotal research gaps in existing approaches and sheds light on both challenges and ...
Noorain Mukhtiar+2 more
wiley +1 more source
Quantum Optics Parity Effect on Generalized NOON States and Its Implications for Quantum Metrology
A quantum optical‐parity effect is found to emerge in the evolution from generalized NOON states of a two‐level atom or molecule coupled to a cavity field. The parity of the photon number influences the quantum entanglement properties of the system, resulting in a parity‐dependent ability to extract states of the evolving system for precise phase ...
Agostino Migliore, Antonino Messina
wiley +1 more source
In this commentary, I think with and beyond the normative philosophies and policy-oriented frameworks on how to deal with diversity in contemporary societies formulated by Zapata-Barrero and Modood. I propose to integrate elements of both perspectives in
Stijn Oosterlynck
doaj +1 more source
Log-Sobolev, isoperimetry and transport inequalities on graphs [PDF]
In this paper, we study some functional inequalities (such as Poincar\'e inequalities, logarithmic Sobolev inequalities, generalized Cheeger isoperimetric inequalities, transportation-information inequalities and transportation-entropy inequalities) for reversible nearest-neighbor Markov processes on a connected finite graph by means of (random) path ...
arxiv
Inequality and Economic Growth: The Perspective of the New Growth Theories
We analyze the relationship between inequality and economic growth from two directions. The first part of the survey examines the effect of inequality on growth, showing that when capital markets are imperfect, there is not necessarily a trade-off ...
P. Aghion+2 more
semanticscholar +1 more source
UP3: Unsupervised Predictive Path Planner for Mobile Robots in Unknown Environment
In this article, an unsupervised learning‐based predictive path planning framework UP3 for mobile robots is introduced. The framework employs attention‐based path optimization, control barrier functions, and a deep constraint correction module. UP3 allows the robot to use local observation to generate smooth, safe, and collision‐free path points toward
Jianing Luo+4 more
wiley +1 more source
El dilema de la originalidad de la filosofía latinoamericana y la condición periférica
Sin ...
Clara Rovituso
doaj
Four Talagrand inequalities under the same umbrella [PDF]
This note reviews the studies of the last decades emphasizing a common principle based on entropy, logarithmic Sobolev inequality and hypercontractivity, behind four most celebrated inequalities by M. Talagrand: the convex distance inequality, the $\mathrm {L}^1$-$\mathrm {L}^2$ variance inequality, the quadratic transportation cost inequality, and the
arxiv