The Conditional Entropy Bottleneck [PDF]
Much of the field of Machine Learning exhibits a prominent set of failure modes, including vulnerability to adversarial examples, poor out-of-distribution (OoD) detection, miscalibration, and willingness to memorize random labelings of datasets.
Ian Fischer
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Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information [PDF]
Belavkin–Staszewski relative entropy can naturally characterize the effects of the possible noncommutativity of quantum states. In this paper, two new conditional entropy terms and four new mutual information terms are first defined by replacing quantum ...
Yuan Zhai, Bo Yang, Zhengjun Xi
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On Conditional Tsallis Entropy [PDF]
There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira +2 more
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Feature Selection Using Approximate Conditional Entropy Based on Fuzzy Information Granule for Gene Expression Data Classification [PDF]
Classification is widely used in gene expression data analysis. Feature selection is usually performed before classification because of the large number of genes and the small sample size in gene expression data.
Hengyi Zhang
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Conditional Entropy: A Potential Digital Marker for Stress [PDF]
Recent decades have witnessed a substantial progress in the utilization of brain activity for the identification of stress digital markers. In particular, the success of entropic measures for this purpose is very appealing, considering (1) their ...
Soheil Keshmiri
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Conditional Entropy and Location Error in Indoor Localization Using Probabilistic Wi-Fi Fingerprinting [PDF]
Localization systems are increasingly valuable, but their location estimates are only useful when the uncertainty of the estimate is known. This uncertainty is currently calculated as the location error given a ground truth, which is then used as a ...
Rafael Berkvens +2 more
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An Extended Result on the Optimal Estimation Under the Minimum Error Entropy Criterion
The minimum error entropy (MEE) criterion has been successfully used in fields such as parameter estimation, system identification and the supervised machine learning.
Badong Chen +3 more
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Information–Entropy Analysis of Stellar Evolutionary Stages with Application to FS CMa Objects [PDF]
Theoretical foundations are presented for the application of information–entropy methods from statistical physics to the determination of stellar evolutionary stages. A balance equation involving normalized conditional information and entropy is proposed.
Zeinulla Zhanabaev +2 more
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Negative Conditional Entropy of Post-Selected States [PDF]
We define a quantum entropy conditioned on post-selection which has the von Neumann entropy of pure states as a special case. This conditional entropy can take negative values which is consistent with part of a quantum system containing less information ...
Salek, Sina +2 more
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On the implementation of maximum entropy sampling with unequal probabilities and without replacement [PDF]
Sampling with maximum entropy offers robustness to statistical inference based on randomization theory. However, there were no comprehensive, practical guides explaining how to implement maximum entropy sampling for finite populations with unequal ...
Philippe Aubry
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