Portrait of Simon Lacoste-Julien

Simon Lacoste-Julien

Core Academic Member
Canada CIFAR AI Chair
Associate Scientific Director, Mila, Associate Professor, Université de Montréal, Department of Computer Science and Operations Research
Vice President and Lab Director, Samsung Advanced Institute of Technology (SAIT) AI Lab, Montréal
Research Topics
Causality
Computer Vision
Deep Learning
Generative Models
Machine Learning Theory
Natural Language Processing
Optimization
Probabilistic Models

Biography

Simon Lacoste-Julien is an associate professor at Mila – Quebec Artificial Intelligence Institute and in the Department of Computer Science and Operations Research (DIRO) at Université de Montréal. He is also a Canada CIFAR AI Chair and heads (part time) the SAIT AI Lab Montréal.

Lacoste-Julien‘s research interests are machine learning and applied mathematics, along with their applications to computer vision and natural language processing. He completed a BSc in mathematics, physics and computer science at McGill University, a PhD in computer science at UC Berkeley and a postdoc at the University of Cambridge.

After spending several years as a researcher at INRIA and the École normale supérieure in Paris, he returned to his home city of Montréal in 2016 to answer Yoshua Bengio’s call to help grow the Montréal AI ecosystem.

Current Students

Independent visiting researcher - Samsung SAIT
Independent visiting researcher - Samsung SAIT
PhD - Université de Montréal
Postdoctorate - Université de Montréal
Principal supervisor :
Independent visiting researcher - Samsung SAIT
Independent visiting researcher - Samsung SAIT
Collaborating Alumni - Université de Montréal
PhD - Université de Montréal
Independent visiting researcher - Samsung SAIT
Collaborating researcher - Université de Montréal
Independent visiting researcher - Samsung SAIT
PhD - Université de Montréal
Independent visiting researcher - Seoul National University, Korea
Independent visiting researcher - Université de Montréal
PhD - Université de Montréal
Independent visiting researcher - Pohang University of Science and Technology in Pohang, Korea
Collaborating researcher
PhD - Université de Montréal
Master's Research - Université de Montréal
PhD - Université de Montréal
PhD - Université de Montréal
Independent visiting researcher - Samsung SAIT
Collaborating researcher - Université de Montréal
PhD - Université de Montréal
Independent visiting researcher - Samsung SAIT

Publications

Frank-Wolfe Splitting via Augmented Lagrangian Method
Minimizing a function over an intersection of convex sets is an important task in optimization that is often much more challenging than mini… (see more)mizing it over each individual constraint set. While traditional methods such as Frank-Wolfe (FW) or proximal gradient descent assume access to a linear or quadratic oracle on the intersection, splitting techniques take advantage of the structure of each sets, and only require access to the oracle on the individual constraints. In this work, we develop and analyze the Frank-Wolfe Augmented Lagrangian (FW-AL) algorithm, a method for minimizing a smooth function over convex compact sets related by a "linear consistency" constraint that only requires access to a linear minimization oracle over the individual constraints. It is based on the Augmented Lagrangian Method (ALM), also known as Method of Multipliers, but unlike most existing splitting methods, it only requires access to linear (instead of quadratic) minimization oracles. We use recent advances in the analysis of Frank-Wolfe and the alternating direction method of multipliers algorithms to prove a sublinear convergence rate for FW-AL over general convex compact sets and a linear convergence rate for polytopes.
Frank-Wolfe Splitting via Augmented Lagrangian Method
Minimizing a function over an intersection of convex sets is an important task in optimization that is often much more challenging than mini… (see more)mizing it over each individual constraint set. While traditional methods such as Frank-Wolfe (FW) or proximal gradient descent assume access to a linear or quadratic oracle on the intersection, splitting techniques take advantage of the structure of each sets, and only require access to the oracle on the individual constraints. In this work, we develop and analyze the Frank-Wolfe Augmented Lagrangian (FW-AL) algorithm, a method for minimizing a smooth function over convex compact sets related by a "linear consistency" constraint that only requires access to a linear minimization oracle over the individual constraints. It is based on the Augmented Lagrangian Method (ALM), also known as Method of Multipliers, but unlike most existing splitting methods, it only requires access to linear (instead of quadratic) minimization oracles. We use recent advances in the analysis of Frank-Wolfe and the alternating direction method of multipliers algorithms to prove a sublinear convergence rate for FW-AL over general convex compact sets and a linear convergence rate for polytopes.