Publications related to Absolutely convex set

Non-parametric IQC Multipliers in Data-Driven Robust Controller Synthesis

Alireza Karimi, Vaibhav Gupta, Elias Sebastian Klauser

The paper presents a robust data-driven controller synthesis method for generalised multi-input multioutput (MIMO) systems. Using the frequency response of a linear time-invariant (LTI) MIMO system and characterising perturbations through Integral Quadrati ...

2024

Localizing Unsynchronized Sensors With Unknown Sources

Ivan Dokmanic, Dalia Salem Hassan Fahmy El Badawy

We propose a method for sensor array self-localization using a set of sources at unknown locations. The sources produce signals whose times of arrival are registered at the sensors. We look at the general case where neither the emission times of the source ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

T-5 configurations and hyperbolic systems

Carl Johan Peter Johansson, Riccardo Tione

In this paper, we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation laws. This was introduced in [B. Kirchheim, S. Muller and V. S(sic)ver & aacute;k, Studying Nonlinear PDE by ...

WORLD SCIENTIFIC PUBL CO PTE LTD2023

On The Convergence Of Stochastic Primal-Dual Hybrid Gradient

Volkan Cevher, Ahmet Alacaoglu

In this paper, we analyze the recently proposed stochastic primal-dual hybrid gradient (SPDHG) algorithm and provide new theoretical results. In particular, we prove almost sure convergence of the iterates to a solution with convexity and linear convergenc ...

SIAM PUBLICATIONS2022

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Alireza Karimi, Philippe Louis Schuchert

A new approach is presented to obtain a convex set of robust D—stabilizing fixed structure controllers, relying on Cauchy's argument principle. A convex set of D—stabilizing controllers around an initial D—stabilizing controller for a multi-model set is re ...

Elsevier2022

Fast Projection Onto Convex Smooth Constraints

Maryam Kamgarpour, Andreas Krause, Ilnura Usmanova

The Euclidean projection onto a convex set is an important problem that arises in numerous constrained optimization tasks. Unfortunately, in many cases, computing projections is computationally demanding. In this work, we focus on projection problems where ...

PMLR2021

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates

Martin Jaggi, Sebastian Urban Stich, Amirkeivan Mohtashami

It has been experimentally observed that the efficiency of distributed training with stochastic gradient (SGD) depends decisively on the batch size and—in asynchronous implementations—on the gradient staleness. Especially, it has been observed that the spe ...

2021

A Multi-Agent Primal-Dual Strategy for Composite Optimization over Distributed Features

Ali H. Sayed, Sulaiman A S A E Alghunaim, Ming Yan

This work studies multi-agent sharing optimization problems with the objective function being the sum of smooth local functions plus a convex (possibly non-smooth) function coupling all agents. This scenario arises in many machine learning and engineering ...

IEEE2020

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Absolutely convex set

Non-parametric IQC Multipliers in Data-Driven Robust Controller Synthesis

Stochastic homogenization of degenerate integral functionals with linear growth

Localizing Unsynchronized Sensors With Unknown Sources

T-5 configurations and hyperbolic systems

On The Convergence Of Stochastic Primal-Dual Hybrid Gradient

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Fast Projection Onto Convex Smooth Constraints

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates

A Multi-Agent Primal-Dual Strategy for Composite Optimization over Distributed Features

Graph Chatbot

Chat with Graph Search

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

A Multi-Agent Primal-Dual Strategy for Composite Optimization over Distributed Features

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Localizing Unsynchronized Sensors With Unknown Sources

Stochastic homogenization of degenerate integral functionals with linear growth

T-5 configurations and hyperbolic systems

Non-parametric IQC Multipliers in Data-Driven Robust Controller Synthesis

On The Convergence Of Stochastic Primal-Dual Hybrid Gradient

Fast Projection Onto Convex Smooth Constraints

Critical Parameters for Scalable Distributed Learning with Large Batches and Asynchronous Updates