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We consider a class of misspecified dynamical models where the governing term is only approximately known. Under the assumption that observations of the system's evolution are accessible for various initial conditions, our goal is to infer…

Machine Learning · Statistics 2017-06-06 Gal Shulkind , Lior Horesh , Haim Avron

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

Applications · Statistics 2017-07-04 Alexandra Chouldechova , Max G'Sell

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

Models based on approximation capabilities have recently been studied in the context of Optimal Recovery. These models, however, are not compatible with overparametrization, since model- and data-consistent functions could then be…

Optimization and Control · Mathematics 2020-04-02 Simon Foucart

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid…

Machine Learning · Computer Science 2023-01-16 Anshul Nayak , Azim Eskandarian , Zachary Doerzaph

Generalized linear models (GLMs) are popular for data-analysis in almost all quantitative sciences, but the choice of likelihood family and link function is often difficult. This motivates the search for likelihoods and links that minimize…

Methodology · Statistics 2024-03-19 Maximilian Scholz , Paul-Christian Bürkner

Model-based multi-agent control requires agents to possess a model of the behavior of others to make strategic decisions. Solution concepts from game theory are often used to model the emergent collective behavior of self-interested agents…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Ada Yildirim , Bryce L. Ferguson

We study a problem of best-effort adaptation motivated by several applications and considerations, which consists of determining an accurate predictor for a target domain, for which a moderate amount of labeled samples are available, while…

Machine Learning · Computer Science 2023-05-11 Pranjal Awasthi , Corinna Cortes , Mehryar Mohri

Decision circuits have been developed to perform efficient evaluation of influence diagrams [Bhattacharjya and Shachter, 2007], building on the advances in arithmetic circuits for belief network inference [Darwiche,2003]. In the process of…

Artificial Intelligence · Computer Science 2012-06-18 Debarun Bhattacharjya , Ross D. Shachter

In designed experiments and surveys, known laws or design feat ures provide checks on the most relevant aspects of a model and identify the target parameters. In contrast, in most observational studies in the health and social sciences, the…

Methodology · Statistics 2010-01-18 Sander Greenland

Model misspecification analysis strategies, such as anomaly detection, model validation, and model comparison are a key component of scientific model development. Over the last few years, there has been a rapid rise in the use of…

Instrumentation and Methods for Astrophysics · Physics 2025-03-17 Noemi Anau Montel , James Alvey , Christoph Weniger

A set of probabilistic predictions is well calibrated if the events that are predicted to occur with probability p do in fact occur about p fraction of the time. Well calibrated predictions are particularly important when machine learning…

Machine Learning · Statistics 2014-01-14 Mahdi Pakdaman Naeini , Gregory F. Cooper , Milos Hauskrecht

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

Machine Learning · Computer Science 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon

The shortcomings of maximum likelihood estimation in the context of model-based reinforcement learning have been highlighted by an increasing number of papers. When the model class is misspecified or has a limited representational capacity,…

Machine Learning · Computer Science 2021-06-08 Evgenii Nikishin , Romina Abachi , Rishabh Agarwal , Pierre-Luc Bacon

This work addresses the challenge of providing consistent explanations for predictive models in the presence of model indeterminacy, which arises due to the existence of multiple (nearly) equally well-performing models for a given dataset…

Machine Learning · Computer Science 2023-06-14 Dan Ley , Leonard Tang , Matthew Nazari , Hongjin Lin , Suraj Srinivas , Himabindu Lakkaraju

Improving algorithms via predictions is a very active research topic in recent years. This paper initiates the systematic study of mechanism design in this model. In a number of well-studied mechanism design settings, we make use of…

Computer Science and Game Theory · Computer Science 2023-01-13 Chenyang Xu , Pinyan Lu

In natural phenomena, data distributions often deviate from normality. One can think of cataclysms as a self-explanatory example: events that occur almost never, and at the same time are many standard deviations away from the common…

Machine Learning · Computer Science 2022-12-16 Nuno Costa , Nuno Moniz