Publications related to A catalog of minimally nonideal matrices

Spectral 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 ...

EPFL2024

Faster Monotone Min-Plus Product, Range Mode, and Single Source Replacement Paths

Adam Teodor Polak

One of the most basic graph problems, All-Pairs Shortest Paths (APSP) is known to be solvable in n^{3-o(1)} time, and it is widely open whether it has an O(n^{3-ε}) time algorithm for ε > 0. To better understand APSP, one often strives to obtain subcubic t ...

Schloss Dagstuhl -- Leibniz-Zentrum für Informatik2021

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

Christian Ludwig, Mohamed Tarik

Like conventional material products, waste is the last stage of the life cycle of engineered nanomaterials, which are then incinerated or stabilized before disposal. However, because of their special physical characteristics, the fate of the thermally trea ...

2020

Non-filamentary non-volatile memory elements as synapses in neuromorphic systems

Yusuf Leblebici, Alessandro Fumarola, Severin Sidler

Crossbar arrays of non-volatile memory (NVM) devices represent one possible path for implementing highly energy-efficient neuromorphic computing systems. For Deep Neural Networks (DNN), where information can be encoded as analog voltage and current levels, ...

IEEE2019

Global eigenvalue distribution of matrices defined by the skew-shift

Marius Christopher Lemm

We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift

\binom{j}{2} \omega+jy+x \mod 1

for irrational

\omega

. We prove that the eigenvalue distribution of these matrices conv ...

2019

Faster Algorithms for Integer Programs with Block Structure

Friedrich Eisenbrand, Kim-Manuel Klein, Christoph Hunkenschröder

We consider integer programming problems max {c^Tx : A x = b, l

Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik2018

A Householder-Based Algorithm For Hessenberg-Triangular Reduction

Daniel Kressner, Zvonimir Bujanovic

The QZ algorithm for computing eigenvalues and eigenvectors of a matrix pencil A - lambda B requires that the matrices first be reduced to Hessenberg-triangular (HT) form. The current method of choice for HT reduction relies entirely on Givens rotations re ...

SIAM PUBLICATIONS2018

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

Stefano Massei

A Quasi Toeplitz (QT) matrix is a semi-infinite matrix of the kind

A = T(a) + E

where

T(a) = (aj-i)_{i,j\in \mathbb{Z}_{+}}

,

E = (e_{i,j})_{i,j\in\mathbb{Z}_{+}}

is compact and the norms

\| a\|_{\mathcal{W}} =\sum_{i\in\mathbb{Z}} |a|_j

and $|E|_{ ...

MATHICSE2018

Euclidean Distance Matrices: Essential Theory, Algorithms and Applications

Martin Vetterli, Ivan Dokmanic, Juri Ranieri, Reza Parhizkar

Euclidean distance matrices (EDMs) are matrices of the squared distances between points. The definition is deceivingly simple; thanks to their many useful properties, they have found applications in psychometrics, crystallography, machine learning, wireles ...

2015

Low-Rank Matrix Completion By Riemannian Optimization

The matrix completion problem consists of finding or approximating a low-rank matrix based on a few samples of this matrix. We propose a new algorithm for matrix completion that minimizes the least-square distance on the sampling set over the Riemannian ma ...

Siam Publications2013

A catalog of minimally nonideal matrices

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Spectral Estimators for High-Dimensional Matrix Inference

Faster Monotone Min-Plus Product, Range Mode, and Single Source Replacement Paths

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

Non-filamentary non-volatile memory elements as synapses in neuromorphic systems

Global eigenvalue distribution of matrices defined by the skew-shift

Faster Algorithms for Integer Programs with Block Structure

A Householder-Based Algorithm For Hessenberg-Triangular Reduction

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

Euclidean Distance Matrices: Essential Theory, Algorithms and Applications

Low-Rank Matrix Completion By Riemannian Optimization

Spectral Estimators for High-Dimensional Matrix Inference

Faster Monotone Min-Plus Product, Range Mode, and Single Source Replacement Paths

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

Global eigenvalue distribution of matrices defined by the skew-shift

Non-filamentary non-volatile memory elements as synapses in neuromorphic systems

A Householder-Based Algorithm For Hessenberg-Triangular Reduction

Low-Rank Matrix Completion By Riemannian Optimization

Faster Algorithms for Integer Programs with Block Structure

Euclidean Distance Matrices: Essential Theory, Algorithms and Applications

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox