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Amortized Bayesian inference (ABI) with neural networks can solve probabilistic inverse problems orders of magnitude faster than classical methods. However, ABI is not yet sufficiently robust for widespread and safe application. When…

Machine Learning · Statistics 2026-03-04 Aayush Mishra , Daniel Habermann , Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

The central goal of active learning is to gather data that maximises downstream predictive performance, but popular approaches have limited flexibility in customising this data acquisition to different downstream problems and losses. We…

Machine Learning · Computer Science 2026-05-11 Zhuoyue Huang , Freddie Bickford Smith , Tom Rainforth

Training a supervised neural network classifier typically requires many annotated training samples. Collecting and annotating a large number of data points are costly and sometimes even infeasible. Traditional annotation process uses a…

Computation and Language · Computer Science 2020-10-02 Weixin Liang , James Zou , Zhou Yu

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

Quantum Physics · Physics 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference methods are often unable to account for outliers and other extreme values in data which occur due to…

Machine Learning · Statistics 2026-02-18 Ayush Bharti , Charita Dellaporta , Yuga Hikida , François-Xavier Briol

Simulation-based inference (SBI) enables amortized Bayesian inference for simulators with implicit likelihoods. But when we are primarily interested in the quality of predictive simulations, or when the model cannot exactly reproduce the…

Machine Learning · Statistics 2023-11-03 Richard Gao , Michael Deistler , Jakob H. Macke

Active learning (AL) is a sequential learning scheme aiming to select the most informative data. AL reduces data consumption and avoids the cost of labeling large amounts of data. However, AL trains the model and solves an acquisition…

Machine Learning · Computer Science 2025-01-13 Cen-You Li , Marc Toussaint , Barbara Rakitsch , Christoph Zimmer

We introduce the attention-indexed model (AIM), a theoretical framework for analyzing learning in deep attention layers. Inspired by multi-index models, AIM captures how token-level outputs emerge from layered bilinear interactions over…

Machine Learning · Computer Science 2026-02-03 Fabrizio Boncoraglio , Emanuele Troiani , Vittorio Erba , Lenka Zdeborová

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

Numerical Analysis · Mathematics 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

We consider problems of parameter estimation where design variables can be actively optimized to maximize information gain. To this end, we introduce JADAI, a framework that jointly amortizes Bayesian adaptive design and inference by…

To solve a machine learning problem, one typically needs to perform data preprocessing, modeling, and hyperparameter tuning, which is known as model selection and hyperparameter optimization.The goal of automated machine learning (AutoML)…

Machine Learning · Computer Science 2019-04-19 Weilin Zhou , Frederic Precioso

High-dimensional deep neural network representations of images and concepts can be aligned to predict human annotations of diverse stimuli. However, such alignment requires the costly collection of behavioral responses, such that, in…

Artificial Intelligence · Computer Science 2023-06-09 Yangyang Yu , Jordan W. Suchow

One of the biggest challenges that complicates applied supervised machine learning is the need for huge amounts of labeled data. Active Learning (AL) is a well-known standard method for efficiently obtaining labeled data by first labeling…

Machine Learning · Computer Science 2021-08-18 Julius Gonsior , Maik Thiele , Wolfgang Lehner

Amortized Bayesian Inference (ABI) enables efficient posterior estimation using generative neural networks trained on simulated data, but often suffers from performance degradation under model misspecification. While self-consistency (SC)…

Machine Learning · Statistics 2026-02-27 Aayush Mishra , Šimon Kucharský , Paul-Christian Bürkner

In this paper, we consider active information acquisition when the prediction model is meant to be applied on a targeted subset of the population. The goal is to label a pre-specified fraction of customers in the target or test set by…

Artificial Intelligence · Computer Science 2014-03-17 Sneha Chaudhari , Pankaj Dayama , Vinayaka Pandit , Indrajit Bhattacharya

Meta-learning is a framework in which machine learning models train over a set of datasets in order to produce predictions on new datasets at test time. Probabilistic meta-learning has received an abundance of attention from the research…

Machine Learning · Statistics 2023-09-07 Tommy Rochussen

Gathering labeled data to train well-performing machine learning models is one of the critical challenges in many applications. Active learning aims at reducing the labeling costs by an efficient and effective allocation of costly labeling…

Machine Learning · Computer Science 2020-06-03 Daniel Kottke , Marek Herde , Christoph Sandrock , Denis Huseljic , Georg Krempl , Bernhard Sick

Modern Bayesian inference involves a mixture of computational methods for estimating, validating, and drawing conclusions from probabilistic models as part of principled workflows. An overarching motif of many Bayesian methods is that they…

An active learning (AL) algorithm seeks to construct an effective classifier with a minimal number of labeled examples in a bootstrapping manner. While standard AL heuristics, such as selecting those points for annotation for which a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 Ishani Mondal , Debasis Ganguly

This technical note considers the sampling of outcomes that provide the greatest amount of information about the structure of underlying world models. This generalisation furnishes a principled approach to structure learning under a…

Neurons and Cognition · Quantitative Biology 2025-12-25 Karl Friston , Lancelot Da Costa , Alexander Tschantz , Conor Heins , Christopher Buckley , Tim Verbelen , Thomas Parr