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Equivariant models leverage prior knowledge on symmetries to improve predictive performance, but misspecified architectural constraints can harm it instead. While work has explored learning or relaxing constraints, selecting among…

Machine Learning · Computer Science 2025-07-16 Putri A. van der Linden , Alexander Timans , Dharmesh Tailor , Erik J. Bekkers

In recent years, Bayesian inference in large-scale inverse problems found in science, engineering and machine learning has gained significant attention. This paper examines the robustness of the Bayesian approach by analyzing the stability…

Machine Learning · Statistics 2023-03-06 Alfredo Garbuno-Inigo , Tapio Helin , Franca Hoffmann , Bamdad Hosseini

The estimation of risk measures recently gained a lot of attention, partly because of the backtesting issues of expected shortfall related to elicitability. In this work we shed a new and fundamental light on optimal estimation procedures…

Risk Management · Quantitative Finance 2017-08-25 Marcin Pitera , Thorsten Schmidt

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

Machine Learning · Computer Science 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

When subjected to automated decision-making, decision subjects may strategically modify their observable features in ways they believe will maximize their chances of receiving a favorable decision. In many practical situations, the…

Computer Science and Game Theory · Computer Science 2022-10-10 Keegan Harris , Valerie Chen , Joon Sik Kim , Ameet Talwalkar , Hoda Heidari , Zhiwei Steven Wu

Predicting outcomes in external domains is challenging due to hidden confounders that potentially influence both predictors and outcomes. Well-established methods frequently rely on stringent assumptions, explicit knowledge about the…

Methodology · Statistics 2025-10-14 Carlos García Meixide , David Ríos Insua

This paper presents a model of costly information acquisition where decision-makers can choose whether to elaborate information superficially or precisely. The former action is costless, while the latter entails a processing cost. Within…

General Economics · Economics 2024-11-27 Federico Vaccari

We introduce and study the problem of detecting whether an agent is updating their prior beliefs given new evidence in an optimal way that is Bayesian, or whether they are biased towards their own prior. In our model, biased agents form…

Computer Science and Game Theory · Computer Science 2024-10-31 Yiling Chen , Tao Lin , Ariel D. Procaccia , Aaditya Ramdas , Itai Shapira

This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

Machine Learning · Statistics 2007-09-20 Longhai Li

We study a repeated information design setting in which the receiver, who is also the decision-maker, updates beliefs in a systematically biased way. More specifically, a distorted posterior in our model can be written as a convex…

Computer Science and Game Theory · Computer Science 2026-05-18 Yuqi Pan , Sadie Zhao , Milind Tambe , Yiling Chen

Bayesian inference has been used in the past to model visual perception (Kersten, Mamassian, & Yuille, 2004), accounting for the Helmholtz principle of perception as "unconscious inference" that is constrained by bottom-up sensory evidence…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Lance Ying , Audrey Michal , Jun Zhang

I describe a framework for adaptive scientific exploration based on iterating an Observation--Inference--Design cycle that allows adjustment of hypotheses and observing protocols in response to the results of observation on-the-fly, as data…

Astrophysics · Physics 2009-11-10 Thomas J. Loredo

When learning to ride a bike, a child falls down a number of times before achieving the first success. As falling down usually has only mild consequences, it can be seen as a tolerable failure in exchange for a faster learning process, as…

Machine Learning · Computer Science 2020-05-18 Alonso Marco , Alexander von Rohr , Dominik Baumann , José Miguel Hernández-Lobato , Sebastian Trimpe

This study presents a Bayesian learning perspective towards model predictive control algorithms. High-level frameworks have been developed separately in the earlier studies on Bayesian learning and sampling-based model predictive control.…

Machine Learning · Computer Science 2022-03-14 Namhoon Cho , Seokwon Lee , Hyo-Sang Shin , Antonios Tsourdos

We state the problem of inverse reinforcement learning in terms of preference elicitation, resulting in a principled (Bayesian) statistical formulation. This generalises previous work on Bayesian inverse reinforcement learning and allows us…

Machine Learning · Statistics 2011-06-30 Constantin Rothkopf , Christos Dimitrakakis

The belief bias effect is a phenomenon which occurs when we think that we judge an argument based on our reasoning, but are actually influenced by our beliefs and prior knowledge. Evans, Barston and Pollard carried out a psychological…

Artificial Intelligence · Computer Science 2020-02-19 Luís Moniz Pereira , Emmanuelle-Anna Dietz , Steffen Hölldobler

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

Machine Learning · Computer Science 2025-08-01 Maurits Kaptein

Understanding the sequence of cognitive operations that underlie decision-making is a fundamental challenge in cognitive neuroscience. Traditional approaches often rely on group-level statistics, which obscure trial-by-trial variations in…

Neurons and Cognition · Quantitative Biology 2025-04-15 Rick den Otter , Gabriel Weindel , Sjoerd Stuit , Leendert van Maanen

Under the Bayesian brain hypothesis, behavioural variations can be attributed to different priors over generative model parameters. This provides a formal explanation for why individuals exhibit inconsistent behavioural preferences when…

Neurons and Cognition · Quantitative Biology 2021-07-13 Noor Sajid , Francesco Faccio , Lancelot Da Costa , Thomas Parr , Jürgen Schmidhuber , Karl Friston

Aleatoric and Epistemic uncertainty have achieved recent attention in the literature as different sources from which uncertainty can emerge in stochastic modeling. Epistemic being intrinsic or model based notions of uncertainty, and…

Methodology · Statistics 2025-08-15 Ryan Warnick