Publications related to Multi-panel, on-single-chip Memristive Biosensing

IMPROVED VARIANTS OF THE HUTCH plus plus ALGORITHM FOR TRACE ESTIMATION

Daniel Kressner, Ulf David Persson, Alice Cortinovis

This paper is concerned with two improved variants of the Hutch++ algorithm for estimating the trace of a square matrix, implicitly given through matrix-vector products. Hutch++ combines randomized low-rank approximation in a first phase with stochastic tr ...

SIAM PUBLICATIONS2022

DIVIDE-AND-CONQUER METHODS FOR FUNCTIONS OF MATRICES WITH BANDED OR HIERARCHICAL LOW-RANK STRUCTURE\ast

Daniel Kressner, Stefano Massei, Alice Cortinovis

This work is concerned with approximating matrix functions for banded matrices, hierarchically semiseparable matrices, and related structures. We develop a new divide-and-conquer method based on (rational) Krylov subspace methods for performing low-rank up ...

SIAM PUBLICATIONS2022

Construction of optimal spectral methods in phase retrieval

Florent Gérard Krzakala, Lenka Zdeborová

We consider the phase retrieval problem, in which the observer wishes to recover a n-dimensional real or complex signal X⋆ from the (possibly noisy) observation of |ΦX⋆|, in which Φ is a matrix of size m×n. We consider a \emph{high-dimensional} setting whe ...

2021

The Dimension of the Body in Higher Education: Matrix of Meanings in Students’ Diaries

Simon Nessim Henein, Ramiro Tau

In this paper, we attempt to show some consequences of bringing the body back into higher education, through the use of performing arts in the curricular context of scientific programs. We start by arguing that dominant traditions in higher education repro ...

2021

Computation of linear MHD instabilities with Multi-region Relaxed MHD energy principle

Joaquim Loizu Cisquella, Antoine Baillod, Ankit Kumar

Over the last decade, a variational principle based on a generalisation of Taylor's relaxation, referred to as multi-region relaxed magnetohydrodynamics (MRxMHDs) has been developed. The numerical solutions of the MRxMHD equilibria have been constructed us ...

2021

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Daniel Kressner, Stefano Massei

Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While existing software packages for such matrices often focus on linear systems, t ...

SIAM PUBLICATIONS2020

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

At the end of scaling: 2D materials for computing and sensing applications

Nicolò Oliva

In the past half-century, the digital revolution completely changed the world we live in and the ways we experience it. Over this period, the underlying force supporting the continuous technological development has been the geometrical scaling of transisto ...

EPFL2020

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

Stefano Massei

Evaluating the action of a matrix function on a vector, that is

x=f(\mathcal M)v

, is an ubiquitous task in applications. When

\mathcal M

is large, one usually relies on Krylov projection methods. In this paper, we provide effective choices for the pole ...

2019

hm-toolbox: Matlab software for HODLR and HSS matrices

Daniel Kressner, Stefano Massei

Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While existing software packages for such matrices often focus on linear systems, t ...

2019

Multi-panel, on-single-chip Memristive Biosensing

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IMPROVED VARIANTS OF THE HUTCH plus plus ALGORITHM FOR TRACE ESTIMATION

DIVIDE-AND-CONQUER METHODS FOR FUNCTIONS OF MATRICES WITH BANDED OR HIERARCHICAL LOW-RANK STRUCTURE\ast

Construction of optimal spectral methods in phase retrieval

The Dimension of the Body in Higher Education: Matrix of Meanings in Students’ Diaries

Computation of linear MHD instabilities with Multi-region Relaxed MHD energy principle

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Bootstrapping massive quantum field theories

At the end of scaling: 2D materials for computing and sensing applications

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

hm-toolbox: Matlab software for HODLR and HSS matrices

IMPROVED VARIANTS OF THE HUTCH plus plus ALGORITHM FOR TRACE ESTIMATION

DIVIDE-AND-CONQUER METHODS FOR FUNCTIONS OF MATRICES WITH BANDED OR HIERARCHICAL LOW-RANK STRUCTURE\ast

Computation of linear MHD instabilities with Multi-region Relaxed MHD energy principle

Rational Krylov for Stieltjes matrix functions: convergence and pole selection

At the end of scaling: 2D materials for computing and sensing applications

Bootstrapping massive quantum field theories

The Dimension of the Body in Higher Education: Matrix of Meanings in Students’ Diaries

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Construction of optimal spectral methods in phase retrieval

hm-toolbox: Matlab software for HODLR and HSS matrices