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Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

Methodology · Statistics 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

As a consequence of the strong and usually violated conditional independence assumption (CIA) of naive Bayes (NB) classifier, the performance of NB becomes less and less favorable compared to sophisticated classifiers when the sample size…

Machine Learning · Statistics 2014-12-23 Kim-Hung Li , Cheuk Ting Li

Generative models and those with computationally intractable likelihoods are widely used to describe complex systems in the natural sciences, social sciences, and engineering. Fitting these models to data requires likelihood-free inference…

Methodology · Statistics 2025-12-04 Rui Zhang , Oksana A. Chkrebtii , Dongbin Xiu

Approximate Bayesian computation performs approximate inference for models where likelihood computations are expensive or impossible. Instead simulations from the model are performed for various parameter values and accepted if they are…

Computation · Statistics 2015-12-16 Dennis Prangle

Covariate-specific treatment effects (CSTEs) represent heterogeneous treatment effects across subpopulations defined by certain selected covariates. In this article, we consider marginal structural models where CSTEs are linearly…

Methodology · Statistics 2021-05-25 Peng Wu , Zhiqiang Tan , Wenjie Hu , Xiao-Hua Zhou

Reducing inconsistencies in the behavior of different versions of an AI system can be as important in practice as reducing its overall error. In image classification, sample-wise inconsistencies appear as "negative flips": A new model…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Sijie Yan , Yuanjun Xiong , Kaustav Kundu , Shuo Yang , Siqi Deng , Meng Wang , Wei Xia , Stefano Soatto

Bayesian networks are powerful tools for probabilistic analysis and have been widely used in machine learning and data science. Unlike the time-consuming parameter training process of neural networks, Bayes classifiers constructed on…

Quantum Physics · Physics 2024-04-01 Ming-Ming Wang , Xiao-Ying Zhang

Bayesian inference involves two main computational challenges. First, in estimating the parameters of some model for the data, the posterior distribution may well be highly multi-modal: a regime in which the convergence to stationarity of…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 F. Feroz , M. P. Hobson , E. Cameron , A. N. Pettitt

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

Machine Learning · Statistics 2025-01-22 Katharine Fisher , Youssef Marzouk

Verifiable training has shown success in creating neural networks that are provably robust to a given amount of noise. However, despite only enforcing a single robustness criterion, its performance scales poorly with dataset complexity. On…

Machine Learning · Computer Science 2020-12-16 Shiqi Wang , Kevin Eykholt , Taesung Lee , Jiyong Jang , Ian Molloy

Counterfactual Explanations (CFEs) interpret machine learning models by identifying the smallest change to input features needed to change the model's prediction to a desired output. For classification tasks, CFEs determine how close a…

Machine Learning · Computer Science 2025-10-01 Margarita A. Guerrero , Cristian R. Rojas

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

Methodology · Statistics 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

Neural language models do not scale well when the vocabulary is large. Noise-contrastive estimation (NCE) is a sampling-based method that allows for fast learning with large vocabularies. Although NCE has shown promising performance in…

Computation and Language · Computer Science 2017-09-25 Farhana Ferdousi Liza , Marek Grzes

Probabilistic predictions from neural networks which account for predictive uncertainty during classification is crucial in many real-world and high-impact decision making settings. However, in practice most datasets are trained on…

Machine Learning · Computer Science 2022-09-30 Satya Borgohain , Klaus Ackermann , Ruben Loaiza-Maya

Some machine learning applications require continual learning - where data comes in a sequence of datasets, each is used for training and then permanently discarded. From a Bayesian perspective, continual learning seems straightforward:…

Machine Learning · Statistics 2019-02-19 Sebastian Farquhar , Yarin Gal

Effective prompt engineering remains a challenging task for many applications. We introduce Weak-to-Strong Transfer (WST), an automatic prompt engineering framework where a small "Teacher" model generates instructions that enhance the…

Machine Learning · Computer Science 2025-08-26 Haosen Ge , Shuo Li , Lianghuan Huang

Simulation-based inference (SBI) enables amortized Bayesian inference by first training a neural posterior estimator (NPE) on prior-simulator pairs, typically through low-dimensional summary statistics, which can then be cheaply reused for…

Machine Learning · Statistics 2026-02-11 Sherman Khoo , Dennis Prangle , Song Liu , Mark Beaumont

Model monitoring is a critical component of the machine learning lifecycle, safeguarding against undetected drops in the model's performance after deployment. Traditionally, performance monitoring has required access to ground truth labels,…

Machine Learning · Computer Science 2026-03-10 Juhani Kivimäki , Jakub Białek , Wojtek Kuberski , Jukka K. Nurminen

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

In this paper, we are concerned with attributing meaning to the results of a Bayesian analysis for a problem which is sufficiently complex that we are unable to assert a precise correspondence between the expert probabilistic judgements of…

Statistics Theory · Mathematics 2015-12-04 Daniel Williamson , Michael Goldstein