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Dynamical systems are frequently used to model biological systems. When these models are fit to data it is necessary to ascertain the uncertainty in the model fit. Here we present prediction deviation, a new metric of uncertainty that…

Applications · Statistics 2017-06-08 Benjamin Letham , Portia A. Letham , Cynthia Rudin , Edward P. Browne

We study identification of dynamic discrete choice models with hyperbolic discounting. We show that the standard discount factor, present bias factor, and instantaneous utility functions for the sophisticated agent are point-identified from…

Econometrics · Economics 2024-11-01 Taiga Tsubota

In this paper we study a rational inattention model in environments where the decision maker faces uncertainty about the true prior distribution over states. The decision maker seeks to select a stochastic choice rule over a finite set of…

Theoretical Economics · Economics 2023-05-08 Emerson Melo

Mechanical metamaterials represent an innovative class of artificial structures, distinguished by their extraordinary mechanical characteristics, which are beyond the scope of traditional natural materials. The use of deep generative models…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Zihan Wang , Anindya Bhaduri , Hongyi Xu , Liping Wang

We consider the problem of selecting deterministic or stochastic models for a biological, ecological, or environmental dynamical process. In most cases, one prefers either deterministic or stochastic models as candidate models based on…

Applications · Statistics 2015-10-26 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

In this paper we focus on the problem of assigning uncertainties to single-point predictions generated by a deterministic model that outputs a continuous variable. This problem applies to any state-of-the-art physics or engineering models…

Machine Learning · Statistics 2020-03-12 Enrico Camporeale , Algo Carè

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz

Dynamic feature selection (DFS) addresses budget constraints in decision-making by sequentially acquiring features for each instance, making it appealing for resource-limited scenarios. However, existing DFS methods require models…

Machine Learning · Computer Science 2026-02-19 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

Many important problems in the real world don't have unique solutions. It is thus important for machine learning models to be capable of proposing different plausible solutions with meaningful probability measures. In this work we introduce…

Machine Learning · Computer Science 2020-07-28 Di Qiu , Lok Ming Lui

Dynamic benchmarks interweave model fitting and data collection in an attempt to mitigate the limitations of static benchmarks. In contrast to an extensive theoretical and empirical study of the static setting, the dynamic counterpart lags…

Machine Learning · Computer Science 2023-03-03 Ali Shirali , Rediet Abebe , Moritz Hardt

Discrete choice models (DCM) are widely employed in travel demand analysis as a powerful theoretical econometric framework for understanding and predicting choice behaviors. DCMs are formed as random utility models (RUM), with their key…

Machine Learning · Computer Science 2023-06-02 Shadi Haj-Yahia , Omar Mansour , Tomer Toledo

This note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

Statistics Theory · Mathematics 2019-12-23 Junlin Li

Deep Markov models (DMM) are generative models that are scalable and expressive generalization of Markov models for representation, learning, and inference problems. However, the fundamental stochastic stability guarantees of such models…

Machine Learning · Computer Science 2021-11-09 Ján Drgoňa , Sayak Mukherjee , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar

Problem definition. In retailing, discrete choice models (DCMs) are commonly used to capture the choice behavior of customers when offered an assortment of products. When estimating DCMs using transaction data, flexible models (such as…

Machine Learning · Computer Science 2025-10-08 Ningyuan Chen , Guillermo Gallego , Zhuodong Tang

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

Individuals use models to guide decisions, but many models are wrong. This paper studies which misspecified models are likely to persist when individuals also entertain alternative models. Consider an agent who uses her model to learn the…

Theoretical Economics · Economics 2023-08-22 Cuimin Ba

Deep learning models have been the subject of study from various perspectives, for example, their training process, interpretation, generalization error, robustness to adversarial attacks, etc. A trained model is defined by its decision…

Machine Learning · Computer Science 2019-08-09 Roozbeh Yousefzadeh , Dianne P O'Leary

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

Multiagent Systems · Computer Science 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

We consider risk-sensitive Markov decision processes (MDPs), where the MDP model is influenced by a parameter which takes values in a compact metric space. We identify sufficient conditions under which small perturbations in the model…

Optimization and Control · Mathematics 2022-09-28 Shiping Shao , Abhishek Gupta , William B. Haskell

Distribution shift is a key challenge for predictive models in practice, creating the need to identify potentially harmful shifts in advance of deployment. Existing work typically defines these worst-case shifts as ones that most degrade…

Machine Learning · Computer Science 2024-07-08 Kevin Ren , Yewon Byun , Bryan Wilder