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Continual learning is an online paradigm where a learner continually accumulates knowledge from different tasks encountered over sequential time steps. Importantly, the learner is required to extend and update its knowledge without…

Machine Learning · Statistics 2025-10-16 Tameem Adel

A growing body of research suggests that embodied gameplay, prevalent not just in human cultures but across a variety of animal species including turtles and ravens, is critical in developing the neural flexibility for creative problem…

Computer Vision and Pattern Recognition · Computer Science 2021-02-26 Luca Weihs , Aniruddha Kembhavi , Kiana Ehsani , Sarah M Pratt , Winson Han , Alvaro Herrasti , Eric Kolve , Dustin Schwenk , Roozbeh Mottaghi , Ali Farhadi

Reliable inference requires that artificial intelligence (AI) models provide trustworthy uncertainty estimates, not merely accurate predictions. Recent advances in Bayesian learning have made significant progress toward this goal, and…

Machine Learning · Computer Science 2026-05-12 Jiayi Huang

Bayesian inference is limited in scope because it cannot be applied in idealized contexts where none of the hypotheses under consideration is true and because it is committed to always using the likelihood as a measure of evidential…

Other Statistics · Statistics 2019-09-17 Olav Benjamin Vassend

Bayesian inference provides a rigorous framework to encapsulate our knowledge and uncertainty regarding various physical quantities in a well-defined and self-contained manner. Utilising modern tools, such Bayesian models can be constructed…

High Energy Physics - Lattice · Physics 2024-01-02 Julien Frison

Deep learning has shown its human-level performance in various applications. However, current deep learning models are characterised by catastrophic forgetting of old knowledge when learning new classes. This poses a challenge particularly…

Machine Learning · Computer Science 2022-04-29 Yang Yang , Zhiying Cui , Junjie Xu , Changhong Zhong , Wei-Shi Zheng , Ruixuan Wang

In this review, we examine an extended Bayesian inference method and its relation to biological information processing. We discuss the idea of combining two modes of Bayesian inference. The first is the standard Bayesian inference, which…

Other Statistics · Statistics 2023-07-04 Vasileios Basios , Yukio-Pegio Gunji , Pier-Francesco Moretti

Many modern Artificial Intelligence (AI) systems make use of data embeddings, particularly in the domain of Natural Language Processing (NLP). These embeddings are learnt from data that has been gathered "from the wild" and have been found…

Computation and Language · Computer Science 2018-06-19 Adam Sutton , Thomas Lansdall-Welfare , Nello Cristianini

As a compact representation of joint probability distributions over a dependence graph of random variables, and a tool for modelling and reasoning in the presence of uncertainty, Bayesian networks are of great importance for artificial…

Quantum Physics · Physics 2020-10-06 Michael de Oliveira , Luis Soares Barbosa

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

Computation · Statistics 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

AI systems are increasingly embedded in practices where humans have traditionally exercised epistemic agency, the capacity to actively engage in knowledge formation and validation. This paper argues that understanding AI's impact on…

Computers and Society · Computer Science 2025-12-18 Bodong Chen

A major problem in machine learning is that of inductive bias: how to choose a learner's hypothesis space so that it is large enough to contain a solution to the problem being learnt, yet small enough to ensure reliable generalization from…

Artificial Intelligence · Computer Science 2011-06-02 J. Baxter

An inductive learning algorithm takes a set of data as input and generates a hypothesis as output. A set of data is typically consistent with an infinite number of hypotheses; therefore, there must be factors other than the data that…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

Bayesian inference is an effective approach for solving statistical learning problems especially with uncertainty and incompleteness. However, inference efficiencies are physically limited by the bottlenecks of conventional computing…

Emerging Technologies · Computer Science 2017-11-06 Xiaotao Jia , Jianlei Yang , Zhaohao Wang , Yiran Chen , Hai , Li , Weisheng Zhao

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

Recent approaches to human concept learning have successfully combined the power of symbolic, infinitely productive rule systems and statistical learning to explain our ability to learn new concepts from just a few examples. The aim of most…

Artificial Intelligence · Computer Science 2020-04-29 Pablo Tano , Sergio Romano , Mariano Sigman , Alejo Salles , Santiago Figueira

Bayesian learning has emerged as a compelling and vital research direction in the field of structural dynamics, offering a probabilistic lens to understand and refine the analysis of complex dynamical systems. This review meticulously…

Data Analysis, Statistics and Probability · Physics 2025-06-03 Wang-Ji Yan , Lin-Feng Mei , Yuan-Wei Yin , Jiang Mo , Costas Papadimitriou , Ka-Veng Yuen , Michael Beer

We consider a human-assisted autonomy sensor fusion for dynamic target localization in a Bayesian framework. Autonomous sensor-based tracking systems can suffer from observability and target detection failure. Humans possess valuable…

Robotics · Computer Science 2024-10-08 Min-Won Seo , Solmaz S. Kia

This paper offers a comprehensive introduction to Bayesian inference, combining historical context, theoretical foundations, and core analytical examples. Beginning with Bayes' theorem and the philosophical distinctions between Bayesian and…

Methodology · Statistics 2025-12-08 Juan Sosa , Carlos A. Martínez , Danna Cruz