output
20082025
most citedThe social dilemma of autonomous vehicles

1.5k citations

165 papers

math.ST2025

On-line Pick-Freeze Mirror algorithm for Sensitity Analysis

Manon Costa, Sébastien Gadat, Xavier Gendre +1

The main objective of this paper is to propose a new approach for estimating the entire collection of Sobol' indices simultaneously. Our approach exploits the fact that Sobol' indi…

cs.LG2025

Convergence of optimizers implies eigenvalues filtering at equilibrium

Jerome Bolte, Quoc-Tung Le, Edouard Pauwels

Ample empirical evidence in deep neural network training suggests that a variety of optimizers tend to find nearly global optima. In this article, we adopt the reversed perspective…

math.OC2025

A class of singular control problems with tipping points

Jean-Paul Décamps, Fabien Gensbittel, Thomas Mariotti +1

Tipping points characterize situations where a regulated system may experience a sudden and irreversible change and are generally associated with a random state of the system below…

econ.TH2025★ 1 cited

Public Communication with Externalities

Georgy Lukyanov, Konstantin Shamruk, Tong Su +1

This paper develops a model in which a sender strategically communicates with a group of receivers whose payoffs depend on the sender's information. It is shown that aggregate payo…

econ.TH2025

The Welfare Effects of Policy Signalling in a Regime Change Game

Georgy Lukyanov

We explore a specific parametric example of a regime change game in which a policymaker defends the status quo against a continuum of atomistic agents who seek to overthrow it. At…

math.OC2025

Mixtures Closest to a Given Measure: A Semidefinite Programming Approach

Srećko Đurašinović, Jean-Bernard Lasserre, Victor Magron

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settin…

econ.TH2025

Honesty, Stigma, and Cooperation in an Overlapping-Generations Game

David Li, Georgy Lukyanov

We study a two-period overlapping-generations game in which a young agent interacts with an old agent and carries a binary record into old age. Honest agents cooperate with clear p…

econ.TH2025

Costly Comparison and Informational Inertia

Georgy Lukyanov, Ariza Azova, Arina Azova

A price cut can attract consumers while changing what their purchases reveal to later buyers. We study this trade-off in a duopoly with common uncertainty about quality. Consumers…

cs.HC2025★ 12 cited

The Science Fiction Science Method

Iyad Rahwan, Azim Shariff, Jean-François Bonnefon

Predicting the social and behavioral impact of future technologies, before they are achieved, would allow us to guide their development and regulation before these impacts get entr…

econ.TH2025

Diagnostic Feedback under Hidden Task Difficulty

Mark Izgarshev, Georgy Lukyanov

An assessment is meant to tell an agent about herself, but its purchase can reveal the task. An evaluator privately observes task difficulty and may publicly purchase an ability di…

econ.TH2025

Quality at Stale Prices

Georgy Lukyanov, Konstantin Shamruk, Ekaterina Logina

We study a continuous-time game in which a firm privately chooses quality and a public-information pricing desk revises its posted price at Poisson opportunities. Customers learn f…

cs.DS2025

Residual Prophet Inequalities

Jose Correa, Sebastian Perez-Salazar, Dana Pizarro +1

We introduce a variant of the classic prophet inequality, called \emph{residual prophet inequality} (RPI). In the RPI problem, we consider a finite sequence of nonnegative inde…

econ.GN2025★ 1 cited

The Theory of Economic Complexity

César A. Hidalgo, Viktor Stojkoski

We provide a mechanistic foundation for economic complexity methods. In our model, an economy's ability to produce an activity depends on the joint presence of required capabilitie…

stat.ME2025

ICS for complex data with application to outlier detection for density data

Camille Mondon, Huong Thi Trinh, Anne Ruiz-Gazen +1

Invariant coordinate selection (ICS) is a dimension reduction method, used as a preliminary step for clustering and outlier detection. It has been primarily applied to multivariate…

econ.GN2025★ 8 cited

Augmenting the availability of historical GDP per capita estimates through machine learning

Philipp Koch, Viktor Stojkoski, César A. Hidalgo

Can we use data on the biographies of historical figures to estimate the GDP per capita of countries and regions? Here we introduce a machine learning method to estimate the GDP pe…

math.OC2025

Sample complexity of optimal transport barycenters with discrete support

Léo Portales, Edouard Pauwels, Elsa Cazelles

Computational implementation of optimal transport barycenters for a set of target probability measures requires a form of approximation, a widespread solution being empirical appro…

math.OC2025

Shannon-and von neumann-entropy regularizations of linear and semidefinite programs

Saroj Prasad Chhatoi, Jean B Lasserre

We consider the LP in standard form min {c T x\,: Ax = b; x 0} and inspired by -regularization in Optimal Transport, we introduce its -regularization ''min {c T x + …

econ.EM2025★ 1 cited

Inference in dynamic models for panel data using the moving block bootstrap

Ayden Higgins, Koen Jochmans

Inference in linear panel data models is complicated by the presence of fixed effects when (some of) the regressors are not strictly exogenous. Under asymptotics where the number o…

math.ST2025

On the Private Estimation of Smooth Transport Maps

Clément Lalanne, Franck Iutzeler, Jean-Michel Loubes +1

Estimating optimal transport maps between two distributions from respective samples is an important element for many machine learning methods. To do so, rather than extending discr…

math.NA2024

Convergence rate of Euler-Maruyama scheme for McKean-Vlasov SDEs with density-dependent drift

Anh-Dung Le

In this paper, we study weak well-posedness of a McKean-Vlasov stochastic differential equations (SDEs) whose drift is density-dependent and whose diffusion is constant. The existe…

cs.LG2024

A second-order-like optimizer with adaptive gradient scaling for deep learning

Jérôme Bolte, Ryan Boustany, Edouard Pauwels +1

In this empirical article, we introduce INNAprop, an optimization algorithm that combines the INNA method with the RMSprop adaptive gradient scaling. It leverages second-order info…

math.ST2024

Privately Learning Smooth Distributions on the Hypercube by Projections

Clément Lalanne, Sébastien Gadat

Fueled by the ever-increasing need for statistics that guarantee the privacy of their training sets, this article studies the centrally-private estimation of Sobolev-smooth densiti…

stat.ME2024

Invariant Coordinate Selection and Fisher discriminant subspace beyond the case of two groups

Colombe Becquart, Aurore Archimbaud, Anne Ruiz-Gazen +2

Invariant Coordinate Selection (ICS) is a multivariate technique that relies on the simultaneous diagonalization of two scatter matrices. It serves various purposes, including its…

math.OC2024

Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon

Thomas Ragel, Bruno Ziliotto

This paper examines finite zero-sum stochastic games and demonstrates that when the game's duration is sufficiently long, there exists a pair of approximately optimal strategies su…