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math.PR2025
Spin glass analysis of the invariant distribution of a Lotka-Volterra SDE with a large random interaction matrix
Mohammed Younes Gueddari, Walid Hachem
The generalized Lotka-Volterra stochastic differential equation with a symmetric food interaction matrix is frequently used to model the dynamics of the abundances of the species l…
math.PR2025
Approximate Message Passing for general non-Symmetric random matrices
Mohammed-Younes Gueddari, Walid Hachem, Jamal Najim
Approximate Message Passing (AMP) algorithms are a family of iterative algorithms based on large random matrices with the special property of tracking the statistical properties of…
math.PR2024
Elliptic Approximate Message Passing and an application to theoretical ecology
Mohammed-Younes Gueddari, Walid Hachem, Jamal Najim
Approximate Message Passing (AMP) algorithmshave recently gathered significant attention across disciplines such as statistical physics, machine learning, and communication systems…