Publications related to Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B

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 ...

Philadelphia2024

Biobased surfactant

Jeremy Luterbacher, Songlan Sun, Stefania Bertella, Anastasiia Komarova

The present invention relates to a compound of the general formula (I), and (II)wherein one of R11 and R12 is hydrogen and the other is -CH2-R70, and one of R13 and R14 is hydrogen and the other is -CH2-R71, or wherein one of R11 and R12 is hydrogen and th ...

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Multiplicity-free Representations of Algebraic Groups

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Let K be an algebraically closed field of characteristic zero, and let G be a connected reductive algebraic group over K. We address the problem of classifying triples (G, H, V ), where H is a proper connected subgroup of G, and V is a finitedimensional ir ...

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Tangent functional connectomes uncover more unique phenotypic traits

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Functional connectomes (FCs) containing pairwise estimations of functional couplings between pairs of brain regions are commonly represented by correlation matrices. As symmetric positive definite matrices, FCs can be transformed via tangent space projecti ...

CELL PRESS2023

Optimal 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 ...

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Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

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In this thesis we propose and analyze algorithms for some numerical linear algebra tasks: finding low-rank approximations of matrices, computing matrix functions, and estimating the trace of matrices.In the first part, we consider algorithms for building l ...

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Robust Differentiable SVD

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Eigendecomposition of symmetric matrices is at the heart of many computer vision algorithms. However, the derivatives of the eigenvectors tend to be numerically unstable, whether using the SVD to compute them analytically or using the Power Iteration (PI) ...

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Nonlinear Finite Elements in Dynamics

This report focuses on the implementation of the finite element method for nonlinear dynamical problems arising in solid mechanics. The theory of continuum mechanics is extensively covered in the literature and it is assumed the reader is already familiar ...

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Many techniques for data science and uncertainty quantification demand efficient tools to handle Gaussian random fields, which are defined in terms of their mean functions and covariance operators. Recently, parameterized Gaussian random fields have gained ...

AMER INST MATHEMATICAL SCIENCES-AIMS2020

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Mikko Tapani Korhonen

Let

G

be a classical group with natural module

V

over an algebraically closed field of good characteristic. For every unipotent element

u

of

G

, we describe the Jordan block sizes of

u

on the irreducible

G

-modules which occur as compositio ...

2019

Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B

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RANDOMIZED JOINT DIAGONALIZATION OF SYMMETRIC

Biobased surfactant

Multiplicity-free Representations of Algebraic Groups

Tangent functional connectomes uncover more unique phenotypic traits

Optimal denoising of rotationally invariant rectangular matrices

Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

Robust Differentiable SVD

Nonlinear Finite Elements in Dynamics

Certified And Fast Computations With Shallow Covariance Kernels

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Tangent functional connectomes uncover more unique phenotypic traits

RANDOMIZED JOINT DIAGONALIZATION OF SYMMETRIC

Multiplicity-free Representations of Algebraic Groups

Biobased surfactant

Certified And Fast Computations With Shallow Covariance Kernels

Optimal denoising of rotationally invariant rectangular matrices

Robust Differentiable SVD

Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

Nonlinear Finite Elements in Dynamics

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic