154 citations · 1.3k across the 48 of their papers we have counts for
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The stability of log-supermodularity under convolution
Mokshay Madiman, James Melbourne, Cyril Roberto
We study the behavior of log-supermodular functions under convolution. In particular we show that log-concave product densities preserve log-supermodularity, confirming in the spec…
A Quantitative Entropy Power Inequality for Dependent Random Vectors
Mokshay Madiman, James Melbourne, Cyril Roberto
The entropy power inequality for independent random vectors is a foundational result of information theory, with deep connections to probability and geometric functional analysis.…
Metric complexity is a Bryant--Tupper diversity
Gautam Aishwarya, Dongbin Li, Mokshay Madiman +1
The metric complexity (sometimes called Leinster--Cobbold maximum diversity) of a compact metric space is a recently introduced isometry-invariant of compact metric spaces which ge…