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Adaptation in multivariate log-concave density estimation
Annals of Statistics, 2018We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over two subclasses of log-concave densities. The first consists of densities with polyhedral support whose logarithms are piecewise affine. The complexity of
Oliver Y. Feng +3 more
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Further Investigations of the Maximum Entropy of the Sum of Two Dependent Random Variables
International Symposium on Information Theory, 2018Cover and Zhang proved a certain reversal of the Entropy Power Inequality for the sum of (possibly dependent) random variables possessing the same log-concave density, and what is more that log-concave densities were the only densities that satisfied ...
Jiange Li, J. Melbourne
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Distributed Time-Varying Constrained Convex Optimization: Finite-Time/Fixed-Time Convergence
IEEE Transactions on Control of Network SystemsThis article investigates a distributed time-varying optimization problem with inequality constraints, aiming to find finite-time and fixed-time convergent solutions free from initialization.
Ge Guo, Zeng-Di Zhou, Ren Zhang
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Exact Solutions for Certain Weighted Sum-Rate and Common-Rate Maximization Problems
IEEE Communications Letters, 2018Koosha Pourtahmasi Pourtahmasi Roshandeh +2 more
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