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Dynamic programming with total variational distance uncertainty
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012The aim of this paper is to address optimality of stochastic control strategies via dynamic programming subject to total variational distance uncertainty on the conditional distribution of the controlled process. Utilizing concepts from signed measures, the maximization of a linear functional on the space of probability measures on abstract spaces is ...
Charalambous, Charalambos D. +5 more
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Testing for scale families using total variation distance
Journal of Statistical Computation and Simulation, 2006Total variation distance is used to make inferences about scale families. We examine the distribution of the test statistic for both large and small samples and show that, for large samples, the test statistic converges to a half normal distribution.
Sneh Gulati, Jie Mi
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Total variation distance privacy: Accurately measuring inference attacks and improving utility
Information Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jia, Jingyu +6 more
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Local probabilities and total variation distance for random permutations
The Ramanujan Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eugenijus Manstavičius +1 more
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Total Variation Distance and Improved Random Coding Union Bounds
2019 IEEE Global Communications Conference (GLOBECOM), 2019This paper presents two new upper bounds on the probability of error for maximum likelihood decoding in the finite blocklength regime. The first bound applies to fixed channel codes and uses the well-known union bound to express the probability of decoding error in terms of the total variation distance between the conditional transition probabilities ...
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Total Variation Distance-Enhanced Selective Segmentation for Medical Images
Communications in Computational PhysicsIn this paper, we propose an enhanced local intensity clustering energy functional designed for selective segmentation of medical images, particularly those affected by intensity inhomogeneity. The functional includes an area constraint term based on a total variation (TV) distance function derived from the single-scale Retinex output image.
Po-Wen Hsieh +2 more
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Lipschitz Variational Approximation of Total Variation Distance
International Conference on Statistics: Theory and Applications, 2023openaire +1 more source
Total variation distance and the distribution of relative information
2014 Information Theory and Applications Workshop (ITA), 2014We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed accorκding to P and Q respectively.
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Recent results on the total variation distance
2019Let (X 1 ,...,X n ) and (Y 1 ,...,Y n ) be two sets of independent discrete random variables. Explicit upper and lower bounds for the total variation distance between distributions of these sets are obtained in terms of some functions of distributions of separate components X k and Y k , k = 1,...,n.
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The Total Variation Distance for Comparing Non-Additive Measures
International Journal of Uncertainty, Fuzziness and Knowledge-Based SystemsThe Total Variation is a common distance between probability distributions that measures the maximum difference in probability among all events. When comparing non-additive measures, that can be represented by closed and convex sets of probability measures, the Total Variation distance can be extended in multiple ways.
David Nieto-Barba +2 more
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