Results 61 to 70 of about 245,725 (186)

Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure

open access: yesEntropy, 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
doaj   +1 more source

Improved Information-Theoretic Generalization Bounds for Distributed, Federated, and Iterative Learning

open access: yesEntropy, 2022
We consider information-theoretic bounds on the expected generalization error for statistical learning problems in a network setting. In this setting, there are K nodes, each with its own independent dataset, and the models from the K nodes have to be ...
Leighton Pate Barnes   +2 more
doaj   +1 more source

A Threshold‐Free Clustering Framework Disentangles Policy‐Linked Greening From Urbanization‐Driven Browning in the Yangtze River Delta of China

open access: yesGeophysical Research Letters, Volume 53, Issue 18, 28 September 2026.
Abstract Accurately characterizing grid‐level vegetation dynamics in urban agglomerations remains challenging due to high spatial heterogeneity and complex temporal responses to urbanization. We developed a threshold‐free clustering framework that integrates the LinCoIndex and structural similarity (SSIM) index to address this issue.
Z. Q. Xie, J. C. Xie, Y. Du, N. Wang
wiley   +1 more source

Bregman-Wasserstein divergence: geometry and applications

open access: yes, 2023
Consider the Monge-Kantorovich optimal transport problem where the cost function is given by a Bregman divergence. The associated transport cost, which we call the Bregman-Wasserstein divergence, presents a natural asymmetric extension of the squared $2$-
Rankin, Cale, Wong, Ting-Kam Leonard
core  

Quantization and clustering with Bregman divergences

open access: yesJournal of Multivariate Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Worst-case and smoothed analysis of k-means clustering with Bregman divergences

open access: yesJournal of Computational Geometry, 2013
The k-means method is the method of choice for clustering large-scale data sets and it performs exceedingly well in practice despite its exponential worst-case running-time.
Bodo Manthey, Heiko Roeglin
doaj   +1 more source

Understanding Plant Parasitism: Hydnora Africana and European Scientific Practice in the Early Nineteenth Century**

open access: yesBerichte zur Wissenschaftsgeschichte, Volume 49, Issue 3, Page 315-334, September 2026.
This article will analyze the uncertainties around collecting and classifying Hydnora africana in the first half of the nineteenth century. Emerging from the distinctive dryland ecologies of South Africa, Hydnora was interpreted as strange and cryptic by Europeans primarily because it is a root parasite—a complex floral trait that was little understood.
Katherine Arnold
wiley   +1 more source

Modified Jensen-Bregman LogDet Divergence for Target Detection With Region Covariance Descriptor

open access: yesIEEE Access
In this study, we exploit the modified Jensen-Bregman LogDet (MJBLD) divergence to measure the dissimilarity between two region covariance descriptors extracted from an image, and design a target detection method based on this descriptor.
Xiqian Fan, Shaozhu Ye
doaj   +1 more source

Information Geometric Approach on Most Informative Boolean Function Conjecture

open access: yesEntropy, 2018
Let X n be a memoryless uniform Bernoulli source and Y n be the output of it through a binary symmetric channel. Courtade and Kumar conjectured that the Boolean function f : { 0 , 1 } n → { 0 , 1 } that maximizes the ...
Albert No
doaj   +1 more source

Habitat loss reshuffles ecological and evolutionary interactions in a seed dispersal network

open access: yesOikos, Volume 2026, Issue 9, September 2026.
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

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