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The assumption of group heterogeneity has become popular in panel data models. We develop a constrained Bayesian grouped estimator that exploits researchers' prior beliefs on groups in a form of pairwise constraints, indicating whether a…

Econometrics · Economics 2023-10-31 Boyuan Zhang

Uncertainty is ubiquitous in real-world data, and the assumptions underlying classical linear regression models are often violated in practice. Inspired by the theory of sublinear expectation, we consider a linear regression model where the…

Statistics Theory · Mathematics 2026-04-28 Xifeng Li , Shuzhen Yang

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

Computation and Language · Computer Science 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

Any system that models the world under finite representational capacity must compress; any compression entails a prior; and the prior is the system's bias. What has not been established is whether uncertainty participates in the dynamics…

Machine Learning · Computer Science 2026-05-20 Ahmed Gamal Eldin

Entropy is a measure of self-information which is used to quantify losses. Entropy was developed in thermodynamics, but is also used to compare probabilities based on their deviating information content. Corresponding model uncertainty is…

Probability · Mathematics 2018-01-23 Alois Pichler , Ruben Schlotter

Compartmental epidemic models with dynamics that evolve over a graph network have gained considerable importance in recent years but analysis of these models is in general difficult due to their complexity. In this paper, we develop two…

Populations and Evolution · Quantitative Biology 2023-05-31 Sei Zhen Khong , Lanlan Su

We study the feasibility of identifying epistemic uncertainty (reflecting a lack of knowledge), as opposed to aleatoric uncertainty (reflecting entropy in the underlying distribution), in the outputs of large language models (LLMs) over…

Machine Learning · Computer Science 2024-02-28 Gustaf Ahdritz , Tian Qin , Nikhil Vyas , Boaz Barak , Benjamin L. Edelman

This paper extends the framework of partially observable Markov decision processes (POMDPs) to multi-agent settings by incorporating the notion of agent models into the state space. Agents maintain beliefs over physical states of the…

Artificial Intelligence · Computer Science 2011-09-13 P. Doshi , P. J. Gmytrasiewicz

Unequal representation of demographic groups in training data poses challenges to model generalisation across populations. Standard practice assumes that balancing subgroup representation optimises performance. However, recent empirical…

Machine Learning · Computer Science 2025-12-11 Anissa Alloula , Charles Jones , Zuzanna Wakefield-Skorniewska , Francesco Quinzan , Bartłomiej Papież

We establish in-expectation and tail bounds on the generalization error of representation learning type algorithms. The bounds are in terms of the relative entropy between the distribution of the representations extracted from the training…

Machine Learning · Statistics 2025-03-21 Milad Sefidgaran , Abdellatif Zaidi , Piotr Krasnowski

Statistical decision algorithms are increasingly deployed in domains where ground-truth labels are hard to obtain, such as hiring, university admissions, and content moderation. In these settings, models are typically trained on historical…

Machine Learning · Computer Science 2026-05-21 Calvin Isley , Johann D. Gaebler , Sharad Goel

Electronic health records (EHRs) contain patients' heterogeneous data that are collected from medical providers involved in the patient's care, including medical notes, clinical events, laboratory test results, symptoms, and diagnoses. In…

Artificial Intelligence · Computer Science 2024-11-12 Shuai Niu , Yunya Song , Qing Yin , Yike Guo , Xian Yang

Many causal systems such as biological processes in cells can only be observed indirectly via measurements, such as gene expression. Causal representation learning -- the task of correctly mapping low-level observations to latent causal…

Machine Learning · Computer Science 2025-10-31 Elliot Layne , Jason Hartford , Sébastien Lachapelle , Mathieu Blanchette , Dhanya Sridhar

Gathering the most information by picking the least amount of data is a common task in experimental design or when exploring an unknown environment in reinforcement learning and robotics. A widely used measure for quantifying the…

Machine Learning · Statistics 2015-09-17 Johannes Kulick , Robert Lieck , Marc Toussaint

Restricted Boltzmann machines~(RBMs) and conditional RBMs~(CRBMs) are popular models for a wide range of applications. In previous work, learning on such models has been dominated by contrastive divergence~(CD) and its variants. Belief…

Machine Learning · Computer Science 2017-03-06 Wei Ping , Alexander Ihler

We investigate estimating a human's world belief state using a robot's observations in a dynamic, 3D, and partially observable environment. The methods are grounded in mental model theory, which posits that human decision making, contextual…

Robotics · Computer Science 2026-04-14 Jack Kolb , Aditya Garg , Nikolai Warner , Karen M. Feigh

This work studies a generalized class of restless multi-armed bandits with hidden states and allow cumulative feedback, as opposed to the conventional instantaneous feedback. We call them lazy restless bandits (LRB) as the events of…

Systems and Control · Computer Science 2019-01-30 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

We developed a practical quantum advantage benchmarking framework that connects the accumulation of entropy in a quantum processing unit and the degradation of the solution to a target optimization problem. The benchmark is based on…

Quantum Physics · Physics 2025-10-02 Pauline Besserve , Raúl García-Patrón

Approaches based on generative adversarial networks for imitation learning are promising because they are sample efficient in terms of expert demonstrations. However, training a generator requires many interactions with the actual…

Machine Learning · Computer Science 2022-09-01 Eiji Uchibe

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

Statistics Theory · Mathematics 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou