Results 41 to 50 of about 3,294 (168)
A directed isoperimetric inequality with application to Bregman near neighbor lower bounds
, 2015 Bregman divergences $D_\phi$ are a class of divergences parametrized by a convex function $\phi$ and include well known distance functions like $\ell_2^2$ and the Kullback-Leibler divergence.
Chaudhuri Kamalika +2 more
core +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
doaj +1 more source
, 2018 Recently it has been demonstrated that the Shannon entropy or the von Neuman entropy are the only entropy functions that generate a local Bregman divergences as long as the state space has rank 3 or higher.
A Banerjee +15 more
core +1 more source
Optimal interval clustering: Application to Bregman clustering and statistical mixture learning [PDF]
, 2014 We present a generic dynamic programming method to compute the optimal clustering of $n$ scalar elements into $k$ pairwise disjoint intervals. This case includes 1D Euclidean $k$-means, $k$-medoids, $k$-medians, $k$-centers, etc.
Nielsen, Frank, Nock, Richard
core +1 more source
The Information Geometry of Bregman Divergences and Some Applications in Multi-Expert Reasoning
Entropy, 2014 The aim of this paper is to develop a comprehensive study of the geometry involved in combining Bregman divergences with pooling operators over closed convex sets in a discrete probabilistic space. A particular connection we develop leads to an iterative
Martin Adamčík
doaj +1 more source
Business Strategy and the Environment, EarlyView.ABSTRACT This study examines the role of corporate zero‐deforestation commitments (ZDCs) and Industry 4.0 (I4.0) enabling technologies in mitigating deforestation. Drawing on data from 110 companies included in the Forest 500 dataset, the research explores whether sustainability commitments and digital innovation influence firms' deforestation ...
Valentina Beretta +2 more
wiley +1 more source
Divergence and Sufficiency for Convex Optimization
Entropy, 2017 Logarithmic score and information divergence appear in information theory, statistics, statistical mechanics, and portfolio theory. We demonstrate that all these topics involve some kind of optimization that leads directly to regret functions and such ...
Peter Harremoës
doaj +1 more source
Shifting baselines increase the risk of misinterpreting biodiversity trends
Ecography, EarlyView.Ecological studies quantifying the impact of land‐use change on biodiversity may be sensitive to the choice of reference points – or baselines – particularly when sampling across human land‐use gradients and other space‐for‐time comparisons. Much depends on whether the chosen baseline has already undergone shifts in species composition because of ...
Ariane Dellavalle +13 more
wiley +1 more source
Statistical Analysis of Distance Estimators with Density Differences and Density Ratios
Entropy, 2014 Estimating a discrepancy between two probability distributions from samples is an important task in statistics and machine learning. There are mainly two classes of discrepancy measures: distance measures based on the density difference, such as the Lp ...
Takafumi Kanamori, Masashi Sugiyama
doaj +1 more source
On minimum Bregman divergence inference
, 2020 In this paper a new family of minimum divergence estimators based on the Bregman divergence is proposed. The popular density power divergence (DPD) class of estimators is a sub-class of Bregman divergences. We propose and study a new sub-class of Bregman divergences called the exponentially weighted divergence (EWD). Like the minimum DPD estimator, the
Purkayastha, Soumik, Basu, Ayanendranath
openaire +2 more sources