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This paper revisits the classic instrument choice problem in a setting with consumption externalities, through the lens of robust mechanism design. A regulator can implement any incentive-compatible policy but is uncertain about how…

General Economics · Economics 2026-03-18 Zi Yang Kang

The performance (accuracy and robustness) of several clustering algorithms is studied for linearly dependent random variables in the presence of noise. It turns out that the error percentage quickly increases when the number of observations…

Applications · Statistics 2009-11-13 Pamela Minicozzi , Fabio Rapallo , Enrico Scalas , Francesco Dondero

We consider stochastic growth models to represent population subject to catastrophes. We analyze the subject from different set ups considering or not spatial restrictions, whether dispersion is a good strategy to increase the population…

Probability · Mathematics 2019-03-05 Valdivino Vargas Junior , Fábio Prates Machado , Alejandro Roldán-Correa

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources distribution in a given box. We…

Analysis of PDEs · Mathematics 2018-07-25 Idriss Mazari , Grégoire Nadin , Yannick Privat

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

Sorting and ranking supervision is a method for training neural networks end-to-end based on ordering constraints. That is, the ground truth order of sets of samples is known, while their absolute values remain unsupervised. For that, we…

Machine Learning · Computer Science 2021-07-15 Felix Petersen , Christian Borgelt , Hilde Kuehne , Oliver Deussen

A large toolbox of numerical schemes for dispersive equations has been established, based on different discretization techniques such as discretizing the variation-of-constants formula (e.g., exponential integrators) or splitting the full…

Numerical Analysis · Mathematics 2024-05-20 Frédéric Rousset , Katharina Schratz

Diffusion Policy has shown great performance in robotic manipulation tasks under stochastic perturbations, due to its ability to model multimodal action distributions. Nonetheless, its reliance on a computationally expensive reverse-time…

Robotics · Computer Science 2025-11-20 Gabriel Lauzier , Alexandre Girard , François Ferland

In the last years decision-focused learning framework, also known as predict-and-optimize, have received increasing attention. In this setting, the predictions of a machine learning model are used as estimated cost coefficients in the…

Machine Learning · Computer Science 2022-06-20 Jayanta Mandi , Víctor Bucarey , Maxime Mulamba , Tias Guns

Prior work has shown that language models can be tuned to follow user instructions using only a small set of high-quality instructions. This has accelerated the development of methods that filter a large, noisy instruction-tuning datasets…

Artificial Intelligence · Computer Science 2024-10-22 Harshita Diddee , Daphne Ippolito

We show that scaling arguments are very useful to analyze the dynamics of periodically modulated noisy systems. Information about the behavior of the relevant quantities, such as the signal-to-noise ratio, upon variations of the noise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Diversity is a commonly known principle in the design of recommender systems, but also ambiguous in its conceptualization. Through semi-structured interviews we explore how practitioners at three different public service media organizations…

Information Retrieval · Computer Science 2024-05-06 Sanne Vrijenhoek , Savvina Daniil , Jorden Sandel , Laura Hollink

In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to…

Physics and Society · Physics 2008-12-02 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

Neural and Evolutionary Computing · Computer Science 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

We study a control system resembling a singularly perturbed system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are…

Optimization and Control · Mathematics 2023-09-07 Vladimir Gaitsgory , Ilya Shvartsman

Sparsity or complexity? In modern high-dimensional asset pricing, these are often viewed as competing principles: richer feature spaces appear to favor complexity, while economic intuition has long favored parsimony. We show that this…

General Finance · Quantitative Finance 2026-04-21 Nima Afsharhajari , Jonathan Yu-Meng Li

Reconstructing noise-driven nonlinear networks from time series of output variables is a challenging problem, which turns to be very difficult when nonlinearity of dynamics, strong noise impacts and low measurement frequencies jointly…

Statistical Mechanics · Physics 2017-10-20 Rundong Shi , Gang Hu , Shihong Wang

We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting point, is described by a Markov chain, which in the limit…

Statistical Mechanics · Physics 2014-10-06 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

Program specialization is a program transformation methodology which improves program efficiency by exploiting the information about the input data which are available at compile time. We show that current techniques for program…

Programming Languages · Computer Science 2007-05-23 Alberto Pettorossi , Maurizio Proietti , Sophie Renault