Concept
Hermite polynomials
Related publications (136)
Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach
Plasma turbulence plays a fundamental role in determining the performances of magnetic confinement fusion devices, such as tokamaks. Advances in computer science, combined with the development of efficient physical models, have significantly improved our u ...
EPFL2024TIC-TAC: A Framework for Improved Covariance Estimation in Deep Heteroscedastic Regression
Mathieu Salzmann, Alexandre Massoud Alahi, Megh Hiren Shukla
Deep heteroscedastic regression involves jointly optimizing the mean and covariance of the predicted distribution using the negative log-likelihood. However, recent works show that this may result in sub-optimal convergence due to the challenges associated ...
2024Finite free convolutions of polynomials
We study three convolutions of polynomials in the context of free probability theory. We prove that these convolutions can be written as the expected characteristic polynomials of sums and products of unitarily invariant random matrices. The symmetric addi ...
SPRINGER HEIDELBERG2022A PCP Theorem for Interactive Proofs and Applications
The celebrated PCP Theorem states that any language in NP can be decided via a verifier that reads O(1) bits from a polynomially long proof. Interactive oracle proofs (IOP), a generalization of PCPs, allow the verifier to interact with the prover for multi ...
SPRINGER INTERNATIONAL PUBLISHING AG2022