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The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Machine Learning · Computer Science 2025-08-19 Freddie Bickford Smith , Jannik Kossen , Eleanor Trollope , Mark van der Wilk , Adam Foster , Tom Rainforth

We present a loss function for neural networks that encompasses an idea of trivial versus non-trivial predictions, such that the network jointly determines its own prediction goals and learns to satisfy them. This permits the network to…

Artificial Intelligence · Computer Science 2016-12-15 Nicholas Guttenberg , Martin Biehl , Ryota Kanai

Neural processes have recently emerged as a class of powerful neural latent variable models that combine the strengths of neural networks and stochastic processes. As they can encode contextual data in the network's function space, they…

Machine Learning · Computer Science 2021-12-03 Jiayi Shen , Xiantong Zhen , Marcel Worring , Ling Shao

In the last few years, quantum computing and machine learning fostered rapid developments in their respective areas of application, introducing new perspectives on how information processing systems can be realized and programmed. The…

The last few years have seen an explosion of academic and popular interest in algorithmic fairness. Despite this interest and the volume and velocity of work that has been produced recently, the fundamental science of fairness in machine…

Machine Learning · Computer Science 2018-10-23 Alexandra Chouldechova , Aaron Roth

Artificial intelligence commonly refers to the science and engineering of artificial systems that can carry out tasks generally associated with requiring aspects of human intelligence, such as playing games, translating languages, and…

Artificial Intelligence · Computer Science 2025-02-11 Andreas Krause , Jonas Hübotter

Deep neural networks have revolutionized medical image analysis and disease diagnosis. Despite their impressive performance, it is difficult to generate well-calibrated probabilistic outputs for such networks, which makes them…

Machine Learning · Computer Science 2020-05-29 Pranav Poduval , Hrushikesh Loya , Amit Sethi

To adopt neural networks in safety critical domains, knowing whether we can trust their predictions is crucial. Bayesian neural networks (BNNs) provide uncertainty estimates by averaging predictions with respect to the posterior weight…

Machine Learning · Computer Science 2021-03-17 Jannik Schmitt , Stefan Roth

Unrolled neural networks emerged recently as an effective model for learning inverse maps appearing in image restoration tasks. However, their generalization risk (i.e., test mean-squared-error) and its link to network design and train…

Machine Learning · Computer Science 2019-06-11 Morteza Mardani , Qingyun Sun , Vardan Papyan , Shreyas Vasanawala , John Pauly , David Donoho

Modern deep learning is primarily an experimental science, in which empirical advances occasionally come at the expense of probabilistic rigor. Here we focus on one such example; namely the use of the categorical cross-entropy loss to model…

Machine Learning · Statistics 2020-11-11 Elliott Gordon-Rodriguez , Gabriel Loaiza-Ganem , Geoff Pleiss , John P. Cunningham

In machine learning, likelihood-free inference refers to the task of performing an analysis driven by data instead of an analytical expression. We discuss the application of Neural Spline Flows, a neural density estimation algorithm, to the…

High Energy Physics - Phenomenology · Physics 2020-07-01 Sebastian Pina-Otey , Federico Sánchez , Vicens Gaitan , Thorsten Lux

In safety-critical decision-making, the environment may evolve over time, and the learner adjusts its risk level accordingly. This work investigates risk-averse online optimization in dynamic environments with varying risk levels, employing…

Optimization and Control · Mathematics 2025-12-30 Siyi Wang , Zifan Wang , Karl H. Johansson

Most scientists need software to perform their research (Barker et al., 2020; Carver et al., 2022; Hettrick, 2014; Hettrick et al., 2014; Switters and Osimo, 2019), and neuroscientists are no exception. Whether we work with reaction times,…

Computers and Society · Computer Science 2024-03-29 Britta U. Westner , Daniel R. McCloy , Eric Larson , Alexandre Gramfort , Daniel S. Katz , Arfon M. Smith , invited co-signees

In this paper, we derive the explicit series expansion of the eigenvalue distribution of various models, namely the case of non-central Wishart distributions, as well as correlated zero mean Wishart distributions. The tools used extend…

Information Theory · Computer Science 2016-11-17 Ø. Ryan , A. Masucci , S. Yang , M. Debbah

Human decision-makers often receive assistance from data-driven algorithmic systems that provide a score for evaluating objects, including individuals. The scores are generated by a function (mechanism) that takes a set of features as input…

Machine Learning · Computer Science 2019-11-25 Abolfazl Asudeh , H. V. Jagadish

Political science, and social science in general, have traditionally been using computational methods to study areas such as voting behavior, policy making, international conflict, and international development. More recently, increasingly…

Computation and Language · Computer Science 2020-05-15 Kakia Chatsiou , Slava Jankin Mikhaylov

We introduce and study a learning theory which is roughly automatic, that is, it does not require but a minimum of initial programming, and is based on the potential computational phenomenon of self-reference, (i.e. the potential ability of…

Logic in Computer Science · Computer Science 2023-04-25 A. D. Arvanitakis

The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if…

Neurons and Cognition · Quantitative Biology 2016-03-15 Kanaka Rajan , William Bialek

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

Machine Learning · Computer Science 2014-03-06 Max Welling

The amount of randomness in a signal generated by physical or non-physical process can reveal important information about that process. For example, the presence of randomness in ECG signals may indicate a cardiac disease. On the hand, the…

Data Analysis, Statistics and Probability · Physics 2020-05-05 R. V. Ramos
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