Search Results for author: Michael Muehlebach

Found 17 papers, 2 papers with code

Stochastic Online Optimization for Cyber-Physical and Robotic Systems

no code implementations8 Apr 2024 Hao Ma, Melanie Zeilinger, Michael Muehlebach

We propose a novel gradient-based online optimization framework for solving stochastic programming problems that frequently arise in the context of cyber-physical and robotic systems.

Primal Methods for Variational Inequality Problems with Functional Constraints

no code implementations19 Mar 2024 Liang Zhang, Niao He, Michael Muehlebach

In this work, we propose a simple primal method, termed Constrained Gradient Method (CGM), for addressing functional constrained variational inequality problems, without necessitating any information on the optimal Lagrange multipliers.

Navigate

Balancing a 3D Inverted Pendulum using Remote Magnetic Manipulation

no code implementations8 Feb 2024 Jasan Zughaibi, Bradley J. Nelson, Michael Muehlebach

This greatly expands the range of potential medical applications and includes even dynamic environments as encountered in cardiovascular interventions.

Towards a Systems Theory of Algorithms

no code implementations25 Jan 2024 Florian Dörfler, Zhiyu He, Giuseppe Belgioioso, Saverio Bolognani, John Lygeros, Michael Muehlebach

Traditionally, numerical algorithms are seen as isolated pieces of code confined to an {\em in silico} existence.

Decision Making

Deep Backtracking Counterfactuals for Causally Compliant Explanations

no code implementations11 Oct 2023 Klaus-Rudolf Kladny, Julius von Kügelgen, Bernhard Schölkopf, Michael Muehlebach

Counterfactuals answer questions of what would have been observed under altered circumstances and can therefore offer valuable insights.

counterfactual Philosophy

Causal Effect Estimation from Observational and Interventional Data Through Matrix Weighted Linear Estimators

1 code implementation9 Jun 2023 Klaus-Rudolf Kladny, Julius von Kügelgen, Bernhard Schölkopf, Michael Muehlebach

We study causal effect estimation from a mixture of observational and interventional data in a confounded linear regression model with multivariate treatments.

Adaptive Decision-Making with Constraints and Dependent Losses: Performance Guarantees and Applications to Online and Nonlinear Identification

no code implementations6 Apr 2023 Michael Muehlebach

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options.

Decision Making

Accelerated First-Order Optimization under Nonlinear Constraints

no code implementations1 Feb 2023 Michael Muehlebach, Michael I. Jordan

We exploit analogies between first-order algorithms for constrained optimization and non-smooth dynamical systems to design a new class of accelerated first-order algorithms for constrained optimization.

Sampling without Replacement Leads to Faster Rates in Finite-Sum Minimax Optimization

no code implementations7 Jun 2022 Aniket Das, Bernhard Schölkopf, Michael Muehlebach

We obtain tight convergence rates for RR and SO and demonstrate that these strategies lead to faster convergence than uniform sampling.

On Constraints in First-Order Optimization: A View from Non-Smooth Dynamical Systems

no code implementations17 Jul 2021 Michael Muehlebach, Michael I. Jordan

We introduce a class of first-order methods for smooth constrained optimization that are based on an analogy to non-smooth dynamical systems.

Optimization with Momentum: Dynamical, Control-Theoretic, and Symplectic Perspectives

no code implementations28 Feb 2020 Michael Muehlebach, Michael. I. Jordan

We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view.

Continuous-time Lower Bounds for Gradient-based Algorithms

no code implementations ICML 2020 Michael Muehlebach, Michael. I. Jordan

This article derives lower bounds on the convergence rate of continuous-time gradient-based optimization algorithms.

Optimization and Control Systems and Control Systems and Control

Physics-informed Autoencoders for Lyapunov-stable Fluid Flow Prediction

no code implementations26 May 2019 N. Benjamin Erichson, Michael Muehlebach, Michael W. Mahoney

In addition to providing high-profile successes in computer vision and natural language processing, neural networks also provide an emerging set of techniques for scientific problems.

A Dynamical Systems Perspective on Nesterov Acceleration

no code implementations17 May 2019 Michael Muehlebach, Michael. I. Jordan

We present a dynamical system framework for understanding Nesterov's accelerated gradient method.

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