Publications related to Spectral Coarse Spaces for the Substructured Parallel Schwarz Method

Micropreparative Gel Electrophoresis for Purification of Nanoscale Bioconjugates

Ardemis Anoush Boghossian, Yahya Rabbani, Shang-Jung Wu, Vitalijs Zubkovs, Sayyed Hashem Sajjadi

Conventional techniques for purifying macromolecular conjugates often require complex and costly installments that are inaccessible to most laboratories. In this work, we develop a one-step micropreparative method based on a trilayered polyacrylamide gel e ...

2024

Modeling friction and wear using an adaptive discrete-continuum coupling

Manon Eugénie Voisin--Leprince

When two objects slide against each other, wear and friction occur at their interface. The accumulation of wear forms what is commonly referred to as a ``third-body''. Understanding third-body evolution has significant applications in industry, where contr ...

EPFL2024

Randomized flexible GMRES with deflated restarting

Laura Grigori, Emeric Martin

For a high dimensional problem, a randomized Gram-Schmidt (RGS) algorithm is beneficial in computational costs as well as numerical stability. We apply this dimension reduction technique by random sketching to Krylov subspace methods, e.g. to the generaliz ...

Springer2024

Efficient Continual Finite-Sum Minimization

Volkan Cevher, Efstratios Panteleimon Skoulakis, Leello Tadesse Dadi

Given a sequence of functions

f_1,\ldots,f_n

with

f_i:\mathcal{D}\mapsto \mathbb{R}

, finite-sum minimization seeks a point

{x}^\star \in \mathcal{D}

minimizing

\sum_{j=1}^nf_j(x)/n

. In this work, we propose a key twist into the finite-sum minimizat ...

2024

Reliable data-driven decision-making through optimal transport

Bahar Taskesen

Decision-making permeates every aspect of human and societal development, from individuals' daily choices to the complex decisions made by communities and institutions. Central to effective decision-making is the discipline of optimization, which seeks the ...

EPFL2024

Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography

Mehrdad Kiani Oshtorjani

In computational hydraulics models, predicting bed topography and bedload transport with sufficient accuracy remains a significant challenge. An accurate assessment of a river's sediment transport rate necessitates a prior understanding of its bed topograp ...

EPFL2024

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problem ...

Piscataway2024

Robust Data-Driven Controller Design with Finite Frequency Samples

Alireza Karimi, Philippe Louis Schuchert

Modern control synthesis methods rely on accurate models to derive a performant controller. Obtaining a good model is often a costly step, and has led to a renewed interest in data-driven synthesis methods. Frequency-response-based synthesis methods have b ...

2024

Roger F. Harrington and the Method of Moments: Part 1: Electrostatics

The method of moments (MOM), as introduced by R. F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (PIE) formulations applied to both electrostatic (part 1) and electrodynamic, or full-wave, problem ...

Piscataway2024

Stability: a search for structure

Wouter Jongeneel

In this thesis we study stability from several viewpoints. After covering the practical importance, the rich history and the ever-growing list of manifestations of stability, we study the following. (i) (Statistical identification of stable dynamical syste ...

EPFL2024

Spectral Coarse Spaces for the Substructured Parallel Schwarz Method

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Micropreparative Gel Electrophoresis for Purification of Nanoscale Bioconjugates

Modeling friction and wear using an adaptive discrete-continuum coupling

Randomized flexible GMRES with deflated restarting

Efficient Continual Finite-Sum Minimization

Reliable data-driven decision-making through optimal transport

Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

Robust Data-Driven Controller Design with Finite Frequency Samples

Roger F. Harrington and the Method of Moments: Part 1: Electrostatics

Stability: a search for structure

Micropreparative Gel Electrophoresis for Purification of Nanoscale Bioconjugates

Modeling friction and wear using an adaptive discrete-continuum coupling

Efficient Continual Finite-Sum Minimization

Robust Data-Driven Controller Design with Finite Frequency Samples

Stability: a search for structure

Randomized flexible GMRES with deflated restarting

Stochastic Simulations and Machine Learning Modeling to Predict Bedload Transport and Bed Topography

Reliable data-driven decision-making through optimal transport

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

Roger F. Harrington and the Method of Moments: Part 1: Electrostatics