no code implementations • 27 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.
no code implementations • 15 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.
no code implementations • 26 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.
no code implementations • 3 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).
no code implementations • 18 Feb 2021 • Guodong Zhang, Yuanhao Wang, Laurent Lessard, Roger Grosse
Smooth minimax games often proceed by simultaneous or alternating gradient updates.
1 code implementation • 23 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.
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.
no code implementations • 5 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.
no code implementations • 15 Oct 2018 • Laurent Lessard, Xuezhou Zhang, Xiaojin Zhu
Our key insight is to formulate sequential machine teaching as a time-optimal control problem.
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.
no code implementations • 3 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.
1 code implementation • 13 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
no code implementations • 2 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.
no code implementations • 6 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