Results 31 to 40 of about 248 (141)
Minimax quantum state estimation under Bregman divergence [PDF]
Quantum, 2019 We investigate minimax estimators for quantum state tomography under general Bregman divergences. First, generalizing the work of Koyama et al. [Entropy 19, 618 (2017)] for relative entropy, we find that given any estimator for a quantum state, there ...
Maria Quadeer +2 more
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Entropy, 2014 Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence.
Shun-ichi Amari
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Preconditioner Design via the Bregman Divergence
CoRR, 2023 We study a preconditioner for a Hermitian positive definite linear system, which is obtained as the solution of a matrix nearness problem based on the Bregman log determinant divergence. The preconditioner is of the form of a Hermitian positive definite matrix plus a low-rank matrix.
Andreas A. Bock, Martin S. Andersen 0001
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Machine Learning and Knowledge ExtractionThe purpose of this paper is twofold. On a technical side, we propose an extension of the Hausdorff distance from metric spaces to spaces equipped with asymmetric distance measures.
Tuyen Pham +2 more
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Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities
Entropy, 2010 In this paper, we extend and overview wide families of Alpha-, Beta- and Gamma-divergences and discuss their fundamental properties. In literature usually only one single asymmetric (Alpha, Beta or Gamma) divergence is considered.
Andrzej Cichocki, Shun-ichi Amari
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Entropy, 2015 A scoring rule is a device for evaluation of forecasts that are given in terms of the probability of an event. In this article we will restrict our attention to binary forecasts.
Gareth Hughes, Cairistiona F.E. Topp
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Discounted dynamic optimization and Bregman divergence
Journal of Mathematical Economics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Habitat loss reshuffles ecological and evolutionary interactions in a seed dispersal network
Oikos, EarlyView.In tropical forests, habitat loss reshapes species composition, favoring generalists and recently emerged lineages while specialists and older evolutionary lineages are lost. However, how changes in species ecological attributes and evolutionary history affect ecological processes is poorly explored.
Fernando César Gonçalves Bonfim +8 more
wiley +1 more source
General H-theorem and Entropies that Violate the Second Law
Entropy, 2014 H-theorem states that the entropy production is nonnegative and, therefore, the entropy of a closed system should monotonically change in time. In information processing, the entropy production is positive for random transformation of signals (the ...
Alexander N. Gorban
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TESOL Quarterly, EarlyView.Abstract Despite calls from critical applied linguists to decolonize ELT materials that reproduce colonial ideologies, teachers working under neoliberal constraints and attendant time pressures often have to deliver textbook content as is rather than revising it.
Steven Yeung, John Gray
wiley +1 more source