Publications related to Matrix decomposition

Compress-and-restart block Krylov subspace methods for Sylvester matrix equations

Daniel Kressner, Stefano Massei, Kathryn Dianne Lund

Block Krylov subspace methods (KSMs) comprise building blocks in many state-of-the-art solvers for large-scale matrix equations as they arise, for example, from the discretization of partial differential equations. While extended and rational block Krylov ...

2020

New Results in Integer and Lattice Programming

Christoph Hunkenschröder

An integer program (IP) is a problem of the form

\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}

, where

A \in \Z^{m \times n}

,

b \in \Z^m

,

l,u \in \Z^n

, and

f: \Z^n \rightarrow \Z

is a separable convex objective function. The problem o ...

EPFL2020

5-Fluorouracil Release from Chitosan-Based Matrix. Experimental and Theoretical Aspects

Maria-Alexandra Paun

A series of four drug release formulations based on 5-fluorouracil encapsulated into a chitosan-based matrix were prepared by in situ hydrogelation with 3,7-dimethyl-2,6-octadienal. The formulations were investigated from structural and morphological aspec ...

2020

Source apportionment of atmospheric P using the Positive Matrix Factorization (PMF) model

Athanasios Nenes, Kalliopi Violaki, Christos Panagiotopoulos

The PMF receptor model was applied to a combined dataset using specific markers such as phospholipids and sugars together with other metals (e.g. Al, Pb, V) and ions (e.g. K+, Ca2+, SO42-, NO3-) as tracers of main aerosol sources in order to characterize t ...

2020

Matrix recovery from bilinear and quadratic measurements

Martin Vetterli, Adam James Scholefield, Michalina Wanda Pacholska, Karen Adam

Matrix (or operator) recovery from linear measurements is a well-studied problem. However, there are situations where only bilinear or quadratic measurements are available. A bilinear or quadratic problem can easily be transformed into a linear one, but it ...

ArXiv2020

Shaping effects on scrape-off layer plasma turbulence: A rigorous validation of three-dimensional simulations against TCV measurements

Paolo Ricci, Fabio Riva, Cedric Kar-Wai Tsui

The effect of plasma shaping on scrape-off layer (SOL) plasma turbulence is investigated through a rigorous validation exercise. Two- and three-dimensional simulations of the SOL plasma dynamics in three TCV limited discharges are carried out with the GBS ...

2020

Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima

Armin Eftekhari

Principal component analysis (PCA) finds the best linear representation of data and is an indispensable tool in many learning and inference tasks. Classically, principal components of a dataset are interpreted as the directions that preserve most of its "e ...

SIAM PUBLICATIONS2020

A Drug Release Mechanism Controlled by Hydrophobic/Hydrophilic Balance of the Matrix. Theoretical and Experimental Perspectives

Maria-Alexandra Paun

Controlled drug release is a promising pathway of biomedicine, meant to suppress side effects with the aim of increasing patient's comfort. A route to achieve this goal represents the encapsulation of drugs into matrixes, capable to develop physical forces ...

REVISTA CHIMIE SRL2020

Decompositions of dependence for high-dimensional extremes

Emeric Rolland Georges Thibaud

We propose two decompositions that help to summarize and describe high-dimensional tail dependence within the framework of regular variation. We use a transformation to define a vector space on the positive orthant and show that transformed-linear operatio ...

OXFORD UNIV PRESS2019

Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization

Nicolas Macris, Jean François Emmanuel Barbier, Clément Dominique Luneau

We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its mutual information when the tensor is of even order. The proof uses the adaptive interpolation method, for which rank-on ...

IEEE2019

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Compress-and-restart block Krylov subspace methods for Sylvester matrix equations

New Results in Integer and Lattice Programming

5-Fluorouracil Release from Chitosan-Based Matrix. Experimental and Theoretical Aspects

Source apportionment of atmospheric P using the Positive Matrix Factorization (PMF) model

Matrix recovery from bilinear and quadratic measurements

Shaping effects on scrape-off layer plasma turbulence: A rigorous validation of three-dimensional simulations against TCV measurements

Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima

A Drug Release Mechanism Controlled by Hydrophobic/Hydrophilic Balance of the Matrix. Theoretical and Experimental Perspectives

Decompositions of dependence for high-dimensional extremes

Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization

Compress-and-restart block Krylov subspace methods for Sylvester matrix equations

New Results in Integer and Lattice Programming

5-Fluorouracil Release from Chitosan-Based Matrix. Experimental and Theoretical Aspects

Source apportionment of atmospheric P using the Positive Matrix Factorization (PMF) model

Decompositions of dependence for high-dimensional extremes

Shaping effects on scrape-off layer plasma turbulence: A rigorous validation of three-dimensional simulations against TCV measurements

A Drug Release Mechanism Controlled by Hydrophobic/Hydrophilic Balance of the Matrix. Theoretical and Experimental Perspectives

Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization

Matrix recovery from bilinear and quadratic measurements

Principal Component Analysis By Optimization Of Symmetric Functions Has No Spurious Local Optima