Results 41 to 50 of about 7,842 (187)

Modulus of convexity for operator convex functions [PDF]

open access: yes, 2014
Given an operator convex function $f(x)$, we obtain an operator-valued lower bound for $cf(x) + (1-c)f(y) - f(cx + (1-c)y)$, $c \in [0,1]$. The lower bound is expressed in terms of the matrix Bregman divergence.
Kim, Isaac H.
core   +3 more sources

Adaptive mixture methods based on Bregman divergences [PDF]

open access: yesDigital Signal Processing, 2013
We investigate adaptive mixture methods that linearly combine outputs of $m$ constituent filters running in parallel to model a desired signal. We use "Bregman divergences" and obtain certain multiplicative updates to train the linear combination weights under an affine constraint or without any constraints.
Donmez, M. A., Inan, H. A., Kozat, S. S.
openaire   +5 more sources

Regularised transfer learning for hyperspectral image classification

open access: yesIET Computer Vision, 2019
This study presents a transfer learning method for addressing the insufficient sample problem in hyperspectral image classification. In order to find common feature representation for both the source domain and target domain, we introduce a ...
Qian Shi   +3 more
doaj   +1 more source

CLUSTERING-BASED APPROACHES TO THE EXPLORATION OF SPATIO-TEMPORAL DATA [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017
As one spatio-temporal data mining task, clustering helps the exploration of patterns in the data by grouping similar elements together. However, previous studies on spatial or temporal clustering are incapable of analysing complex patterns in spatio ...
X. Wu   +3 more
doaj   +1 more source

Beta-Divergence as a Subclass of Bregman Divergence [PDF]

open access: yesIEEE Signal Processing Letters, 2011
In this paper, we present a complete proof that the β-divergence is a particular case of Bregman divergence. This little-known result makes it possible to straightforwardly apply theorems about Bregman divergences to β-divergences. This is of interest for numerous applications since these divergences are widely used, for instance in non-negative matrix
Romain Hennequin   +2 more
openaire   +1 more source

Sum decomposition of divergence into three divergences

open access: yes, 2018
Divergence functions play a key role as to measure the discrepancy between two points in the field of machine learning, statistics and signal processing. Well-known divergences are the Bregman divergences, the Jensen divergences and the f-divergences. In
Nishiyama, Tomohiro
core   +1 more source

Extropy: Complementary Dual of Entropy [PDF]

open access: yes, 2015
This article provides a completion to theories of information based on entropy, resolving a longstanding question in its axiomatization as proposed by Shannon and pursued by Jaynes.
Agrò, Gianna   +2 more
core   +2 more sources

Bregman–Hausdorff Divergence: Strengthening the Connections Between Computational Geometry and Machine Learning

open access: yesMachine Learning and Knowledge Extraction
The 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
doaj   +1 more source

Centroid-Based Clustering with ab-Divergences [PDF]

open access: yes, 2019
Centroid-based clustering is a widely used technique within unsupervised learning algorithms in many research fields. The success of any centroid-based clustering relies on the choice of the similarity measure under use.
Cruces Álvarez, Sergio Antonio   +3 more
core   +2 more sources

An advanced level set method based on Bregman divergence for inhomogeneous image segmentation [PDF]

open access: yes, 2017
© 2017 IEEE. Intensity inhomogeneity often occurs in real images. Local information based level set methods are comparatively effective in segmenting image with inhomogeneous intensity. However, in practice, these models suffer from local minima and high
Shi, D., Tian, Feng, Zhang, Y., Zhu, M.
core   +1 more source

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