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Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

Machine Learning · Statistics 2022-03-02 Yingzhi Xia , Nicholas Zabaras

The task of quantifying the inherent uncertainty associated with neural network predictions is a key challenge in artificial intelligence. Bayesian neural networks (BNNs) and deep ensembles are among the most prominent approaches to tackle…

Machine Learning · Computer Science 2025-05-23 Valentin Villecroze , Yixin Wang , Gabriel Loaiza-Ganem

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

Trained generative models have shown remarkable performance as priors for inverse problems in imaging -- for example, Generative Adversarial Network priors permit recovery of test images from 5-10x fewer measurements than sparsity priors.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Muhammad Asim , Mara Daniels , Oscar Leong , Ali Ahmed , Paul Hand

Decision Trees and Random Forests are among the most widely used machine learning models, and often achieve state-of-the-art performance in tabular, domain-agnostic datasets. Nonetheless, being primarily discriminative models they lack…

Machine Learning · Statistics 2020-07-14 Alvaro H. C. Correia , Robert Peharz , Cassio de Campos

Perceptual estimates exhibit a reversal in bias depending on uncertainty: they shift toward prior expectations under high stimulus noise, but away from them when sensory noise dominates. The normative framework of a Bayesian observer model…

Neurons and Cognition · Quantitative Biology 2025-10-16 Hyun-Jun Jeon , Hansol Choi , Oh-Sang Kwon

The rapid progression of generative AI (GenAI) technologies has heightened concerns regarding the misuse of AI-generated imagery. To address this issue, robust detection methods have emerged as particularly compelling, especially in…

Graphics · Computer Science 2025-04-07 Hongfei Cai , Chi Liu , Sheng Shen , Youyang Qu , Peng Gui

The rapid proliferation of high-quality synthetic data -- generated by advanced AI models or collected as auxiliary data from related tasks -- presents both opportunities and challenges for statistical inference. This paper introduces a…

Methodology · Statistics 2026-02-19 Meshi Bashari , Yonghoon Lee , Roy Maor Lotan , Edgar Dobriban , Yaniv Romano

Bayesian inference requires specification of a single, precise prior distribution, whereas frequentist inference only accommodates a vacuous prior. Since virtually every real-world application falls somewhere in between these two extremes,…

Methodology · Statistics 2023-09-26 Ryan Martin

Generative Adversarial Networks (GANs) advance face synthesis through learning the underlying distribution of observed data. Despite the high-quality generated faces, some minority groups can be rarely generated from the trained models due…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Shuhan Tan , Yujun Shen , Bolei Zhou

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Despite being trained on balanced datasets, existing AI-generated image detectors often exhibit systematic bias at test time, frequently misclassifying fake images as real. We hypothesize that this behavior stems from distributional shift…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Muli Yang , Gabriel James Goenawan , Henan Wang , Huaiyuan Qin , Chenghao Xu , Yanhua Yang , Fen Fang , Ying Sun , Joo-Hwee Lim , Hongyuan Zhu

Successful forensic detectors can produce excellent results in supervised learning benchmarks but struggle to transfer to real-world applications. We believe this limitation is largely due to inadequate training data quality. While most…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Fabrizio Guillaro , Giada Zingarini , Ben Usman , Avneesh Sud , Davide Cozzolino , Luisa Verdoliva

With the rising adoption of Machine Learning across the domains like banking, pharmaceutical, ed-tech, etc, it has become utmost important to adopt responsible AI methods to ensure models are not unfairly discriminating against any group.…

Machine Learning · Computer Science 2022-12-02 Bhushan Chaudhari , Himanshu Chaudhary , Aakash Agarwal , Kamna Meena , Tanmoy Bhowmik

In this paper, we present the current progress of the project Verif.ai, an open-source scientific generative question-answering system with referenced and verified answers. The components of the system are (1) an information retrieval…

Information Retrieval · Computer Science 2024-04-11 Miloš Košprdić , Adela Ljajić , Bojana Bašaragin , Darija Medvecki , Nikola Milošević

We introduce GenAI-Powered Inference (GPI), a statistical framework for both causal and predictive inference using unstructured data, including text and images. GPI leverages open-source Generative Artificial Intelligence (GenAI) models --…

Machine Learning · Computer Science 2025-09-09 Kosuke Imai , Kentaro Nakamura

When prior information is lacking, the go-to strategy for probabilistic inference is to combine a "default prior" and the likelihood via Bayes's theorem. Objective Bayes, (generalized) fiducial inference, etc. fall under this umbrella. This…

Methodology · Statistics 2026-01-05 Ryan Martin

The importance of interpretability of machine learning models has been increasing due to emerging enterprise predictive analytics, threat of data privacy, accountability of artificial intelligence in society, and so on. Piecewise linear…

Artificial Intelligence · Computer Science 2017-11-08 Masato Asahara , Ryohei Fujimaki

We propose a simple approach that provides accurate uncertainty quantification for Bayesian inference in misspecified or approximate models, and for generalized (Gibbs) posteriors. While existing solutions in this context are based on…

Methodology · Statistics 2026-03-11 David T. Frazier , Christopher Drovandi , Robert Kohn

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

Machine Learning · Computer Science 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra