Publications related to ALS Scheme using Extent-based Constraints for the Analysis of Chemical Reaction Systems

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

A model for the consolidation of hybrid textiles considering air entrapment, dissolution and diffusion

Véronique Michaud, Vincent Werlen, Christian Rytka

A new model is proposed for the consolidation of hybrid textiles, in which air entrapment and dissolution are considered. One of the key parameters is tow permeability, which is described by the analytical model of Gebart and validated at very high fibre v ...

ELSEVIER SCI LTD2023

Iterative refinement of Schur decompositions

Daniel Kressner, Zvonimir Bujanovic

The Schur decomposition of a square matrix A is an important intermediate step of state-of-the-art numerical algorithms for addressing eigenvalue problems, matrix functions, and matrix equations. This work is concerned with the following task: Compute a (m ...

SPRINGER2022

Mega Event Reinforced Industrial Heritage Transformation: A typological matrix between narratives and practices

Florence Graezer Bideau, Huishu Deng

Mega-events have been considered as a strategy to boost urban development, which shifts targets from expansion outside of the original city fabric to reuse of heritage. The bidirectional dynamic between mega-events and heritage has been emphasized, as the ...

2022

Matrix product states with backflow correlations

Giuseppe Carleo

By taking inspiration from the backflow transformation for correlated systems, we introduce a tensor network Ansatz which extends the well-established matrix product state representation of a quantum many-body wave function. This structure provides enough ...

AMER PHYSICAL SOC2022

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Pascal Fua, Mathieu Salzmann, Zheng Dang, Kwang Moo Yi, Fei Wang, Yinlin Hu

Many classical Computer Vision problems, such as essential matrix computation and pose estimation from 3D to 2D correspondences, can be tackled by solving a linear least-square problem, which can be done by finding the eigenvector corresponding to the smal ...

IEEE COMPUTER SOC2021

Efficient Learning of a Linear Dynamical System with Stability Guarantees

Daniel Kuhn, Wouter Jongeneel, Tobias Sutter

We propose a principled method for projecting an arbitrary square matrix to the non- convex set of asymptotically stable matrices. Leveraging ideas from large deviations theory, we show that this projection is optimal in an information-theoretic sense and ...

2021

A fast spectral divide-and-conquer method for banded matrices

Daniel Kressner, Ana Susnjara

Based on the spectral divide-and-conquer algorithm by Nakatsukasa and Higham [SIAM J. Sci. Comput., 35(3):A1325-A1349, 2013], we propose a new algorithm for computing all the eigenvalues and eigenvectors of a symmetric banded matrix with small bandwidth, w ...

WILEY2021

Bootstrapping massive quantum field theories

Denis Karateev

We propose a new non-perturbative method for studying UV complete unitary quantum field theories (QFTs) with a mass gap in general number of spacetime dimensions. The method relies on unitarity formulated as positive semi-definiteness of the matrix of inne ...

SPRINGER2020

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

ALS Scheme using Extent-based Constraints for the Analysis of Chemical Reaction Systems

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Spectral Estimators for High-Dimensional Matrix Inference

A model for the consolidation of hybrid textiles considering air entrapment, dissolution and diffusion

Iterative refinement of Schur decompositions

Mega Event Reinforced Industrial Heritage Transformation: A typological matrix between narratives and practices

Matrix product states with backflow correlations

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Efficient Learning of a Linear Dynamical System with Stability Guarantees

A fast spectral divide-and-conquer method for banded matrices

Bootstrapping massive quantum field theories

New Results in Integer and Lattice Programming

Spectral Estimators for High-Dimensional Matrix Inference

A model for the consolidation of hybrid textiles considering air entrapment, dissolution and diffusion

Iterative refinement of Schur decompositions

Mega Event Reinforced Industrial Heritage Transformation: A typological matrix between narratives and practices

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Matrix product states with backflow correlations

Bootstrapping massive quantum field theories

New Results in Integer and Lattice Programming

Efficient Learning of a Linear Dynamical System with Stability Guarantees

A fast spectral divide-and-conquer method for banded matrices