Publications related to Matrix similarity

Poly-NL: Linear Complexity Non-local Layers With 3rd Order Polynomials

Spatial self-attention layers, in the form of Non-Local blocks, introduce long-range dependencies in Convolutional Neural Networks by computing pairwise similarities among all possible positions. Such pairwise functions underpin the effectiveness of non-lo ...

IEEE2021

On finitely generated modules over quasi-Euclidean rings

Luc Guyot

Let R be a unital commutative ring, and let M be an R-module that is generated by k elements but not less. Let be the subgroup of generated by the elementary matrices. In this paper we study the action of by matrix multiplication on the set of unimodular r ...

Springer Verlag2017

Accelerated Spectral Clustering Using Graph Filtering of Random Signals

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We build upon recent advances in graph signal processing to propose a faster spectral clustering algorithm. Indeed, classical spectral clustering is based on the computation of the first

k

eigenvectors of the similarity matrix' Laplacian, whose computati ...

Ieee2016

Clustering of heterogeneous networks with directional flows based on “Snake” similarities

Nikolaos Geroliminis, Mohammadreza Saeedmanesh

Aggregated network level modeling and control of traffic in urban networks have recently gained a lot of interest due to unpredictability of travel behaviors and high complexity of physical modeling in microscopic level. Recent research has shown the exist ...

Elsevier2016

Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters

Alessandro Spadoni

This contribution is a summary of four lectures delivered by the first author at the CIME Summer school in June 2011 at Cetraro (Italy). Preparation of those lectures was greatly aided by the other authors of these lecture notes. Our goal is to present som ...

Springer Int Publishing Ag2014

From Reinforcement to High-Performance Damping : An Oligopeptide Toolbox for Tailored Elastomers

Emmanuel Croisier

Biomaterials such as structure proteins are constructed from limited sets of chemical building blocks and supramolecular motifs. Nevertheless, they exhibit extraordinary properties specifically tailored for a broad range of applications because hierarchica ...

EPFL2013

Vocal Tract Length Normalization for Statistical Parametric Speech Synthesis

John David Scott Dines, Philip Neil Garner, Lakshmi Babu Saheer

Vocal tract length normalization (VTLN) has been successfully used in automatic speech recognition for improved performance. The same technique can be implemented in statistical parametric speech synthesis for rapid speaker adaptation during synthesis. Thi ...

2012

A survey and comparison of contemporary algorithms for computing the matrix geometric mean

In this paper we present a survey of various algorithms for computing matrix geometric means and derive new second-order optimization algorithms to compute the Karcher mean. These new algorithms are constructed using the standard definition of the Riemanni ...

2012

Network Coding : Theoretical Designs Directed to Applications

Mahdi Jafari Siavoshani

The demand for higher throughput and better efficiency are two important challenges for future communication networks. During the past decades, a lot of research studies have been devoted to investigating and proposing near optimal and efficient schemes an ...

EPFL2012

Frequency-domain analysis of ground electrodes buried in an ionized soil when subjected to surge currents: A MoM–AOM approach

Farhad Rachidi-Haeri, Keyhan Sheshyekani

A frequency-domain method is proposed for the transient analysis of grounding systems with ionized soil. The method involves two stages. First, the grounding system is transformed into a nonlinear equivalent circuit, in which the frequency-domain circuit p ...

Elsevier2011

Stable classical groups and strongly torsion generated groups

Strongly torsion generated groups are those with a single normal generator, of arbitrary finite order. They are useful for realizing sequences of abelian groups as homology groups. Known examples include stable alternating groups and stable groups generate ...

2009

Parametric integer programming in fixed dimension

Friedrich Eisenbrand, Gennady Shmonin

We consider the following problem: Given a rational matrix

A \in \mathbb{Q}^{m \times n}

and a rational polyhedron

Q \subseteq \mathbb{R}^{m+p}

, decide if for all vectors

b \in \mathbb{R}^m

, for which there exists an integral

z \in \mathbb{Z}^p

suc ...

2008

On the stability of Reduced Basis methods for Stokes Equations in parametrized domains

Gianluigi Rozza

We present an application of reduced basis method for Stokes equations in domains with affine parametric dependence. The essential components of the method are (i) the rapid convergence of global reduced basis approximations – Galerkin projection onto a sp ...

2007

Recognition of generalized network matrices

Antoine Musitelli

In this thesis, we deal with binet matrices, an extension of network matrices. The main result of this thesis is the following. A rational matrix A of size n×m can be tested for being binet in time O(n6m). If A is binet, our algorithm outputs a nonsingular ...

EPFL2007

Mechanisms of interstitial flow-induced remodeling of fibroblast-collagen cultures

Melody Swartz

Interstitial fluid flow, critical for macromolecular transport, was recently shown to drive fibroblast differentiation and perpendicular cell and matrix alignment in 3D collagen cultures. Here we explore the mechanisms underlying this flow-induced cell and ...

Springer US2006

On the Multidimensional Extension of the Quincunx Subsampling Matrix

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The dilation matrix associated with the three-dimensional (3-D) face-centered cubic (FCC) sublattice is often considered to be the natural 3-D extension of the two-dimensional (2-D) quincunx dilation matrix. However, we demonstrate that both dilation matri ...

IEEE Institute of Electrical and Electronics Engineers2005