activity
20202026
most citedFréchet Mean Set Estimation in the Hausdorff Metric, via Relaxation

5 citations · 17 across the 23 of their papers we have counts for

collaborators

24 papers

cs.LG2026

Bandit PCA with Minimax Optimal Regret

Moïse Blanchard, Dmitrii Ostrovskii, Aadirupa Saha

We study the bandit-feedback version of online principal component analysis (Bandit PCA): in each round , the adversary selects a symmetric gain matrix…

cs.LG2026

Distribution-Free Sequential Prediction with Abstentions

Jialin Yu, Moïse Blanchard

We study a sequential prediction problem in which an adversary is allowed to inject arbitrarily many adversarial instances in a stream of i.i.d. instances, but at each round, the l…

stat.ML2026

Characterizing Online and Private Learnability under Distributional Constraints via Generalized Smoothness

Moïse Blanchard, Abhishek Shetty, Alexander Rakhlin

Understanding minimal assumptions that enable learning and generalization is perhaps the central question of learning theory. Several celebrated results in statistical learning the…

math.ST2025

Consistency and inconsistency in -means clustering

Moïse Blanchard, Adam Quinn Jaffe, Nikita Zhivotovskiy

A celebrated result of Pollard proves asymptotic consistency for -means clustering when the population distribution has finite variance. In this work, we point out that the popu…

stat.ML2025

Distributionally-Constrained Adversaries in Online Learning

Moïse Blanchard, Samory Kpotufe

There has been much recent interest in understanding the continuum from adversarial to stochastic settings in online learning, with various frameworks including smoothed settings p…

cs.GT2025

Non-Monetary Mechanism Design without Priors: Achieving Efficiency via Adaptive Costly Audits

Yan Dai, Moise Blanchard, Patrick Jaillet

We study repeated resource allocation with strategic agents, where monetary transfers are disallowed and the planner has no prior information on agents' utility distributions. Insp…

stat.ML2024

Agnostic Smoothed Online Learning without Knowledge of the Base Measure

Moïse Blanchard

Classical results in statistical learning typically consider two extreme data-generating models: i.i.d. instances from an unknown distribution, or fully adversarial instances, ofte…

cs.GT2024

Near-Optimal Mechanisms for Resource Allocation Without Monetary Transfers

Moïse Blanchard, Patrick Jaillet

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using a…

math.OC2024

Gradient Descent is Pareto-Optimal in the Oracle Complexity and Memory Tradeoff for Feasibility Problems

Moise Blanchard

In this paper we provide oracle complexity lower bounds for finding a point in a given set using a memory-constrained algorithm that has access to a separation oracle. We assume th…

math.PR2024

Correlated Binomial Process

Moïse Blanchard, Doron Cohen, Aryeh Kontorovich

Cohen and Kontorovich (COLT 2023) initiated the study of what we call here the Binomial Empirical Process: the maximal absolute value of a sequence of inhomogeneous normalized and…

math.ST2023

Tight Bounds for Local Glivenko-Cantelli

Moïse Blanchard, Václav Voráček

This paper addresses the statistical problem of estimating the infinite-norm deviation from the empirical mean to the distribution mean for high-dimensional distributions on $\{0,1…

math.OC2023★ 3 cited

Memory-Constrained Algorithms for Convex Optimization via Recursive Cutting-Planes

Moïse Blanchard, Junhui Zhang, Patrick Jaillet

We propose a family of recursive cutting-plane algorithms to solve feasibility problems with constrained memory, which can also be used for first-order convex optimization. Precise…

stat.ML2023

Adversarial Rewards in Universal Learning for Contextual Bandits

Moise Blanchard, Steve Hanneke, Patrick Jaillet

We study the fundamental limits of learning in contextual bandits, where a learner's rewards depend on their actions and a known context, which extends the canonical multi-armed ba…

cs.LG2023

Quadratic Memory is Necessary for Optimal Query Complexity in Convex Optimization: Center-of-Mass is Pareto-Optimal

Moïse Blanchard, Junhui Zhang, Patrick Jaillet

We give query complexity lower bounds for convex optimization and the related feasibility problem. We show that quadratic memory is necessary to achieve the optimal oracle complexi…

stat.ML2022

Contextual Bandits and Optimistically Universal Learning

Moise Blanchard, Steve Hanneke, Patrick Jaillet

We consider the contextual bandit problem on general action and context spaces, where the learner's rewards depend on their selected actions and an observable context. This general…

math.ST2022★ 5 cited

Fréchet Mean Set Estimation in the Hausdorff Metric, via Relaxation

Moise Blanchard, Adam Quinn Jaffe

This work resolves the following question in non-Euclidean statistics: Is it possible to consistently estimate the Fréchet mean set of an unknown population distribution, with resp…

cs.DM2022

Additional Results and Extensions for the paper "Probabilistic bounds on the Traveling Salesman Problem and the Traveling Repairman Problem''

Moïse Blanchard, Alexandre Jacquillat, Patrick Jaillet

This technical report provides additional results for the main paper ``Probabilistic bounds on the Traveling Salesman Problem (TSP) and the Traveling Repairman Problem (TRP…

cs.DM2022★ 2 cited

Probabilistic bounds on the Traveling Salesman Problem and the Traveling Repairman Problem

Moïse Blanchard, Alexandre Jacquillat, Patrick Jaillet

The traveling salesman problem (-TSP) seeks a tour of minimal length that visits a subset of points. The traveling repairman problem (TRP) seeks a complete tour wi…

cs.LG2022

Universal Regression with Adversarial Responses

Moïse Blanchard, Patrick Jaillet

We provide algorithms for regression with adversarial responses under large classes of non-i.i.d. instance sequences, on general separable metric spaces, with provably minimal assu…

stat.ML2022★ 1 cited

Universal Online Learning with Unbounded Losses: Memory Is All You Need

Moise Blanchard, Romain Cosson, Steve Hanneke

We resolve an open problem of Hanneke on the subject of universally consistent online learning with non-i.i.d. processes and unbounded losses. The notion of an optimistically unive…

cs.LG2022★ 2 cited

Universal Online Learning: an Optimistically Universal Learning Rule

Moïse Blanchard

We study the subject of universal online learning with non-i.i.d. processes for bounded losses. The notion of an universally consistent learning was defined by Hanneke in an effort…

cs.LG2021★ 1 cited

Universal Online Learning with Bounded Loss: Reduction to Binary Classification

Moïse Blanchard, Romain Cosson

We study universal consistency of non-i.i.d. processes in the context of online learning. A stochastic process is said to admit universal consistency if there exists a learner that…

cs.LG2021★ 3 cited

The Representation Power of Neural Networks: Breaking the Curse of Dimensionality

Moise Blanchard, M. Amine Bennouna

In this paper, we analyze the number of neurons and training parameters that a neural networks needs to approximate multivariate functions of bounded second mixed derivatives -- Ko…

math.OC2020

On the Length of Monotone Paths in Polyhedra

Moïse Blanchard, Jesùs A. De Loera, Quentin Louveaux

Motivated by the problem of bounding the number of iterations of the Simplex algorithm we investigate the possible lengths of monotone paths followed by the Simplex method inside t…