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We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

Multiagent systems grapple with partial observability (PO), and the decentralized POMDP (Dec-POMDP) model highlights the fundamental nature of this challenge. Whereas recent approaches to addressing PO have appealed to deep learning models,…

Machine Learning · Computer Science 2025-02-21 Tonghan Wang , Heng Dong , Yanchen Jiang , David C. Parkes , Milind Tambe

Food authenticity studies are concerned with determining if food samples have been correctly labeled or not. Discriminant analysis methods are an integral part of the methodology for food authentication. Motivated by food authenticity…

Methodology · Statistics 2010-10-08 Thomas Brendan Murphy , Nema Dean , Adrian E. Raftery

We give an analytical characterization of the price function of an American option in Heston-type models. Our approach is based on variational inequalities and extends recent results of Daskalopoulos and Feehan (2011). We study the…

Probability · Mathematics 2018-12-12 Damien Lamberton , Giulia Terenzi

This work focuses on the dynamic hedging of financial derivatives, where a reinforcement learning algorithm is designed to minimize the variance of the delta hedging process. In contrast to previous research in this area, we apply…

Optimization and Control · Mathematics 2023-06-21 Cong Zheng , Jiafa He , Can Yang

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior…

Systems and Control · Computer Science 2017-12-25 Peter Benner , Christian Himpe , Tim Mitchell

Two-sided online matching platforms are employed in various markets. However, agents' preferences in the current market are usually implicit and unknown, thus needing to be learned from data. With the growing availability of dynamic side…

Machine Learning · Computer Science 2024-05-30 Yuantong Li , Chi-hua Wang , Guang Cheng , Will Wei Sun

Hyperparameter optimization is a ubiquitous challenge in machine learning, and the performance of a trained model depends crucially upon their effective selection. While a rich set of tools exist for this purpose, there are currently no…

Machine Learning · Statistics 2021-11-10 Shubhankar Mohapatra , Sajin Sasy , Xi He , Gautam Kamath , Om Thakkar

This article presents an identification benchmark based on data from a public swimming pool in operation. Such a system is both a complex process and easily understandable by all with regard to the stakes. Ultimately, the objective is to…

Machine Learning · Computer Science 2023-04-24 François Gauthier-Clerc , Hoel Le Capitaine , Fabien Claveau , Philippe Chevrel

We introduce a methodology for efficiently computing a lower bound to empowerment, allowing it to be used as an unsupervised cost function for policy learning in real-time control. Empowerment, being the channel capacity between actions and…

Existing mathematical models of delay discounting (e. g. exponential model, hyperbolic model, and those derived from nonextensive statistics) consider impulsivity as a single entity. However, the present article derives a novel mathematical…

Physics and Society · Physics 2025-12-08 Shanu Shukla , Trambak Bhattacharyya

We obtain a necessary and sufficient condition under which random-coefficient discrete choice models, such as mixed-logit models, are rich enough to approximate any nonparametric random utility models arbitrarily well across choice sets.…

Theoretical Economics · Economics 2023-12-12 Haoge Chang , Yusuke Narita , Kota Saito

Learning options that allow agents to exhibit temporally higher order behavior has proven to be useful in increasing exploration, reducing sample complexity and for various transfer scenarios. Deep Discovery of Options (DDO) is a generative…

Machine Learning · Computer Science 2019-08-06 Ameet Deshpande , Harshavardhan Kamarthi , Balaraman Ravindran

Value [4][5] is typically modeled using a continuous representation (i.e., a Real number). A discrete representation of value has recently been postulated [6]. A quantized representation of probability in the brain was also posited and…

Neurons and Cognition · Quantitative Biology 2020-09-17 James Tee , Desmond P. Taylor

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

A data-driven model identification strategy is developed for dynamical systems near a supercritical Hopf bifurcation with nonautonomous inputs. This strategy draws on phase-amplitude reduction techniques, leveraging an analytical…

Dynamical Systems · Mathematics 2024-05-07 Dan Wilson

In order to characterize the mechanisms governing the diffusion of particles in biological scenarios, it is essential to accurately determine their diffusive properties. To do so, we propose a machine learning method to characterize…

Soft Condensed Matter · Physics 2023-11-29 Borja Requena , Sergi Masó , Joan Bertran , Maciej Lewenstein , Carlo Manzo , Gorka Muñoz-Gil

We analyze the stability of general nonlinear discrete-time stochastic systems controlled by optimal inputs that minimize an infinite-horizon discounted cost. Under a novel stochastic formulation of cost-controllability and detectability…

Optimization and Control · Mathematics 2025-04-30 Robert H. Moldenhauer , Dragan Nešić , Mathieu Granzotto , Romain Postoyan , Andrew R. Teel

This paper studies identification and estimation of a dynamic discrete choice model of demand for differentiated product using consumer-level panel data with few purchase events per consumer (i.e., short panel). Consumers are…

Econometrics · Economics 2022-08-19 Victor Aguirregabiria

This paper studies the performative policy learning problem, where agents adjust their features in response to a released policy to improve their potential outcomes, inducing an endogenous distribution shift. There has been growing interest…

Machine Learning · Computer Science 2025-02-25 Qianyi Chen , Ying Chen , Bo Li