F-Divergences and Cost Function Locality in Generative Modelling with Quantum Circuits [PDF]
Entropy, 2021 Generative modelling is an important unsupervised task in machine learning. In this work, we study a hybrid quantum-classical approach to this task, based on the use of a quantum circuit born machine. In particular, we consider training a quantum circuit
Chiara Leadbeater +3 more
doaj +2 more sources
Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences [PDF]
Entropy, 2021 In this paper, we introduce new divergences called Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are provided.
Paweł A. Kluza
doaj +2 more sources
Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities [PDF]
Journal of Inequalities and Applications, 2018 Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type inequalities, in this paper we integrate this approach with the well known Zipf–Mandelbrot law applied to various types of f-divergences and distances, such ...
Neda Lovričević +2 more
doaj +2 more sources
Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]
Entropy, 2023 In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj +2 more sources
Optimum Achievable Rates in Two Random Number Generation Problems with f-Divergences Using Smooth Rényi Entropy [PDF]
EntropyTwo typical fixed-length random number generation problems in information theory are considered for general sources. One is the source resolvability problem and the other is the intrinsic randomness problem.
Ryo Nomura, Hideki Yagi
doaj +2 more sources
Viewpoint Selection for 3D-Games with f-Divergences [PDF]
EntropyIn this paper, we present a novel approach for the optimal camera selection in video games. The new approach explores the use of information theoretic metrics f-divergences, to measure the correlation between the objects as viewed in camera frustum and ...
Micaela Y. Martin +2 more
doaj +2 more sources
On Relations Between the Relative Entropy and χ2-Divergence, Generalizations and Applications
Entropy, 2020 The relative entropy and the chi-squared divergence are fundamental divergence measures in information theory and statistics. This paper is focused on a study of integral relations between the two divergences, the implications of these relations, their ...
Tomohiro Nishiyama, Igal Sason
doaj +3 more sources
A New Information-Theoretical Distance Measure for Evaluating Community Detection Algorithms [PDF]
Journal of Universal Computer Science, 2019 Community detection is a research area from network science dealing with the investigation of complex networks such as social or biological networks, aiming to identify subgroups (communities) of entities (nodes) that are more closely related to each ...
Mariam Haroutunian +2 more
doaj +3 more sources
Entropy, 2020 We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or κ-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences.
James Melbourne
doaj +1 more source
On the Converse Jensen-Type Inequality for Generalized f-Divergences and Zipf–Mandelbrot Law
Mathematics, 2022 Motivated by some recent investigations about the sharpness of the Jensen inequality, this paper deals with the sharpness of the converse of the Jensen inequality.
Mirna Rodić
doaj +1 more source