99 citations · 428 across the 78 of their papers we have counts for
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Binary perceptrons capacity via fully lifted random duality theory
Mihailo Stojnic
We study the statistical capacity of the classical binary perceptrons with general thresholds . After recognizing the connection between the capacity and the bilinearly indexed…
Studying Hopfield models via fully lifted random duality theory
Mihailo Stojnic
Relying on a recent progress made in studying bilinearly indexed (bli) random processes in \cite{Stojnicnflgscompyx23,Stojnicsflgscompyx23}, the main foundational principles of ful…
Fully lifted random duality theory
Mihailo Stojnic
We study a generic class of \emph{random optimization problems} (rops) and their typical behavior. The foundational aspects of the random duality theory (RDT), associated with rops…
Bilinearly indexed random processes -- \emph{stationarization} of fully lifted interpolation
Mihailo Stojnic
Our companion paper \cite{Stojnicnflgscompyx23} introduced a very powerful \emph{fully lifted} (fl) statistical interpolating/comparison mechanism for bilinearly indexed random pro…
Fully lifted interpolating comparisons of bilinearly indexed random processes
Mihailo Stojnic
A powerful statistical interpolating concept, which we call \emph{fully lifted} (fl), is introduced and presented while establishing a connection between bilinearly indexed random…