Publications related to Diagonal matrix

New Results in Integer and Lattice Programming

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

Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention

François Fleuret, Nikolaos Pappas, Angelos Katharopoulos, Apoorv Vyas

Transformers achieve remarkable performance in several tasks but due to their quadratic complexity, with respect to the input’s length, they are prohibitively slow for very long sequences. To address this limitation, we express the self-attention as a line ...

Idiap2020

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a k x k submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix can a ...

ELSEVIER SCIENCE INC2020

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

Momentum space CFT correlators for Hamiltonian truncation

Matthew Thomas Walters

We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator (corresponding ...

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

Kinetic Euclidean Distance Matrices

Martin Vetterli, Ivan Dokmanic, Puoya Tabaghi

Euclidean distance matrices (EDMs) are a major tool for localization from distances, with applications ranging from protein structure determination to global positioning and manifold learning. They are, however, static objects which serve to localize point ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Charge fluctuations from molecular simulations in the constant-potential ensemble

Sara Bonella, Alessandro Coretti

We revisit the statistical mechanics of charge fluctuations in capacitors. In constant-potential classical molecular simulations, the atomic charges of electrode atoms are treated as additional degrees of freedom which evolve in time so as to satisfy the c ...

2020

Distributed Design for Decentralized Control using Chordal Decomposition and ADMM

Maryam Kamgarpour

We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sparse block matrices and the alternating direction method of multipliers (ADM ...

2020

Asymptotic freedom, Haldane gap and edge states of SU(N) spin chains

Samuel Gozel

In this thesis we study various one-dimensional quantum spin systems with SU(2) and SU(N) symmetry. We investigate the short-distance behavior of the SU(2) Heisenberg model in the limit of large spin and show that there exists an extended regime where pert ...

EPFL2020

Diagonal matrix

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New Results in Integer and Lattice Programming

Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

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

Momentum space CFT correlators for Hamiltonian truncation

Matrix recovery from bilinear and quadratic measurements

Kinetic Euclidean Distance Matrices

Charge fluctuations from molecular simulations in the constant-potential ensemble

Distributed Design for Decentralized Control using Chordal Decomposition and ADMM

Asymptotic freedom, Haldane gap and edge states of SU(N) spin chains

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

New Results in Integer and Lattice Programming

Momentum space CFT correlators for Hamiltonian truncation

Asymptotic freedom, Haldane gap and edge states of SU(N) spin chains

Matrix recovery from bilinear and quadratic measurements

Charge fluctuations from molecular simulations in the constant-potential ensemble

Distributed Design for Decentralized Control using Chordal Decomposition and ADMM

Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention

Kinetic Euclidean Distance Matrices

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