Concept
Higher-dimensional gamma matrices
Publications associées (66)
RANDOMIZED JOINT DIAGONALIZATION OF SYMMETRIC
Given a family of nearly commuting symmetric matrices, we consider the task of computing an orthogonal matrix that nearly diagonalizes every matrix in the family. In this paper, we propose and analyze randomized joint diagonalization (RJD) for performing t ...
Philadelphia2024Spectral Estimators for High-Dimensional Matrix Inference
A key challenge across many disciplines is to extract meaningful information from data which is often obscured by noise. These datasets are typically represented as large matrices. Given the current trend of ever-increasing data volumes, with datasets grow ...
EPFL2024Duality and bicrystals on infinite binary matrices
The set of finite binary matrices of a given size is known to carry a finite type AA bicrystal structure. We first review this classical construction, explain how it yields a short proof of the equality between Kostka polynomials and one-dimensional sums t ...
2023Architecture-Controllable Single-Crystal Helical Self-assembly of Small-Molecule Disulfides with Dynamic Chirality
Beyond the common supramolecular helical polymers in solutions, controlling single-crystal helical self-assembly with precisely defined chirality and architectures has been challenging. Here, we report that simply merging static homochiral amino acids with ...
AMER CHEMICAL SOC2023Optimal denoising of rotationally invariant rectangular matrices
Florent Gérard Krzakala, Lenka Zdeborová, Emanuele Troiani, Vittorio Erba
In this manuscript we consider denoising of large rectangular matrices: given a noisy observation of a signal matrix, what is the best way of recovering the signal matrix itself? For Gaussian noise and rotationally-invariant signal priors, we completely ch ...
2022