Search Results for author: Laurent Lessard

Found 14 papers, 2 papers with code

Model Predictive Planning: Towards Real-Time Multi-Trajectory Planning Around Obstacles

no code implementations27 Sep 2023 Matthew T. Wallace, Brett Streetman, Laurent Lessard

This paper presents a motion planning scheme we call Model Predictive Planning (MPP), designed to optimize trajectories through obstacle-laden environments.

Motion Planning Trajectory Planning

Guaranteed Stability Margins for Decentralized Linear Quadratic Regulators

no code implementations15 Apr 2023 Mruganka Kashyap, Laurent Lessard

We show that when sub-controller input costs are decoupled (but there is possible coupling between sub-controller state costs), the decentralized LQR compensator enjoys similar guaranteed stability margins to classical LQR.

Information-theoretic multi-time-scale partially observable systems with inspiration from leukemia treatment

no code implementations26 Apr 2022 Margaret P. Chapman, Emily Jensen, Steven M. Chan, Laurent Lessard

We study a partially observable nonlinear stochastic system with unknown parameters, where the given time scales of the states and measurements may be distinct.

Management

Toward a Scalable Upper Bound for a CVaR-LQ Problem

no code implementations3 Mar 2021 Margaret P. Chapman, Laurent Lessard

We study a linear-quadratic, optimal control problem on a discrete, finite time horizon with distributional ambiguity, in which the cost is assessed via Conditional Value-at-Risk (CVaR).

A Unified Analysis of First-Order Methods for Smooth Games via Integral Quadratic Constraints

1 code implementation23 Sep 2020 Guodong Zhang, Xuchan Bao, Laurent Lessard, Roger Grosse

The theory of integral quadratic constraints (IQCs) allows the certification of exponential convergence of interconnected systems containing nonlinear or uncertain elements.

Online Data Poisoning Attacks

no code implementations L4DC 2020 Xuezhou Zhang, Xiaojin Zhu, Laurent Lessard

We study data poisoning attacks in the online learning setting, where training data arrive sequentially, and the attacker is eavesdropping the data stream and has the ability to contaminate the current data point to affect the online learning process.

Data Poisoning Model Predictive Control +2

Online Data Poisoning Attack

no code implementations5 Mar 2019 Xuezhou Zhang, Xiaojin Zhu, Laurent Lessard

We study data poisoning attacks in the online setting where training items arrive sequentially, and the attacker may perturb the current item to manipulate online learning.

Data Poisoning Model Predictive Control +2

An Optimal Control Approach to Sequential Machine Teaching

no code implementations15 Oct 2018 Laurent Lessard, Xuezhou Zhang, Xiaojin Zhu

Our key insight is to formulate sequential machine teaching as a time-optimal control problem.

Dissipativity Theory for Accelerating Stochastic Variance Reduction: A Unified Analysis of SVRG and Katyusha Using Semidefinite Programs

no code implementations ICML 2018 Bin Hu, Stephen Wright, Laurent Lessard

Our combination of perspectives leads to a better understanding of accelerated variance-reduced stochastic methods for finite-sum problems.

Analysis of Biased Stochastic Gradient Descent Using Sequential Semidefinite Programs

no code implementations3 Nov 2017 Bin Hu, Peter Seiler, Laurent Lessard

We present a convergence rate analysis for biased stochastic gradient descent (SGD), where individual gradient updates are corrupted by computation errors.

A Robust Accelerated Optimization Algorithm for Strongly Convex Functions

1 code implementation13 Oct 2017 Saman Cyrus, Bin Hu, Bryan Van Scoy, Laurent Lessard

This work proposes an accelerated first-order algorithm we call the Robust Momentum Method for optimizing smooth strongly convex functions.

Optimization and Control Systems and Control

Enhancing human color vision by breaking binocular redundancy

no code implementations2 Mar 2017 Bradley S. Gundlach, Michel Frising, Alireza Shahsafi, Gregory Vershbow, Chenghao Wan, Jad Salman, Bas Rokers, Laurent Lessard, Mikhail A. Kats

To see color, the human visual system combines the response of three types of cone cells in the retina--a compressive process that discards a significant amount of spectral information.

Data Visualization

A General Analysis of the Convergence of ADMM

no code implementations6 Feb 2015 Robert Nishihara, Laurent Lessard, Benjamin Recht, Andrew Packard, Michael. I. Jordan

We provide a new proof of the linear convergence of the alternating direction method of multipliers (ADMM) when one of the objective terms is strongly convex.

Optimization and Control Numerical Analysis

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