Results 61 to 70 of about 245,725 (186)
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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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
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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
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
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
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
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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
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
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Information Geometric Approach on Most Informative Boolean Function Conjecture
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
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Habitat loss reshuffles ecological and evolutionary interactions in a seed dispersal network
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

