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In the paper, we develop an ensemble-based implicit sampling method for Bayesian inverse problems. For Bayesian inference, the iterative ensemble smoother (IES) and implicit sampling are integrated to obtain importance ensemble samples,…

Numerical Analysis · Mathematics 2018-12-04 Yuming Ba , Lijian Jiang

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

Bayesian parameter inference for complex stochastic simulators is challenging due to intractable likelihood functions. Existing simulation-based inference methods often require large number of simulations and become costly to use in…

Machine Learning · Computer Science 2026-04-06 Vasilis Gkolemis , Christos Diou , Michael U. Gutmann

We propose a novel approach, MUSE, to illustrate textual attributes visually via portrait generation. MUSE takes a set of attributes written in text, in addition to facial features extracted from a photo of the subject as input. We propose…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Xiaodan Hu , Pengfei Yu , Kevin Knight , Heng Ji , Bo Li , Honghui Shi

Machine Unlearning (MU) aims to selectively erase the influence of specific data points from pretrained models. However, most existing MU methods rely on the retain set to preserve model utility, which is often impractical due to privacy…

Machine Learning · Computer Science 2026-04-15 Xindi Fan , Jing Wu , Mingyi Zhou , Pengwei Liang , Mehrtash Harandi , Dinh Phung

This paper presents a structure-preserving Bayesian approach for learning nonseparable Hamiltonian systems using stochastic dynamic models allowing for statistically-dependent, vector-valued additive and multiplicative measurement noise.…

Machine Learning · Statistics 2024-07-23 Nicholas Galioto , Harsh Sharma , Boris Kramer , Alex Arkady Gorodetsky

In view of training increasingly complex learning architectures, we establish a nonsmooth implicit function theorem with an operational calculus. Our result applies to most practical problems (i.e., definable problems) provided that a…

Machine Learning · Computer Science 2022-04-06 Jérôme Bolte , Tam Le , Edouard Pauwels , Antonio Silveti-Falls

Counterfactual explanation is an important Explainable AI technique to explain machine learning predictions. Despite being studied actively, existing optimization-based methods often assume that the underlying machine-learning model is…

Artificial Intelligence · Computer Science 2022-06-01 Wenzhuo Yang , Jia Li , Caiming Xiong , Steven C. H. Hoi

Multiple imputation (MI) is a popular approach for dealing with missing data arising from non-response in sample surveys. Multiple imputation by chained equations (MICE) is one of the most widely used MI algorithms for multivariate data,…

Machine Learning · Computer Science 2022-03-22 Zhenhua Wang , Olanrewaju Akande , Jason Poulos , Fan Li

Estimating copulas with discrete marginal distributions is challenging, especially in high dimensions, because computing the likelihood contribution of each observation requires evaluating $2^{J}$ terms, with $J$ the number of discrete…

Methodology · Statistics 2018-11-12 D. Gunawan , M. -N. Tran , K. Suzuki , J. Dick , R. Kohn

Due to growing privacy concerns, machine unlearning, which aims at enabling machine learning models to ``forget" specific training data, has received increasing attention. Among existing methods, influence-based unlearning has emerged as a…

Machine Learning · Computer Science 2025-08-01 Jiawei Liu , Chenwang Wu , Defu Lian , Enhong Chen

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

Computation · Statistics 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

This paper contributes improvements on both the effectiveness and efficiency of Matrix Factorization (MF) methods for implicit feedback. We highlight two critical issues of existing works. First, due to the large space of unobserved…

Information Retrieval · Computer Science 2017-08-18 Xiangnan He , Hanwang Zhang , Min-Yen Kan , Tat-Seng Chua

We propose a multi-index algorithm for the Monte Carlo (MC) discretization of a linear, elliptic PDE with affine-parametric input. We prove an error vs. work analysis which allows a multi-level finite-element approximation in the physical…

Numerical Analysis · Mathematics 2019-07-18 Josef Dick , Michael Feischl , Christoph Schwab

In this paper we consider the estimation of unknown parameters in Bayesian inverse problems. In most cases of practical interest, there are several barriers to performing such estimation, This includes a numerical approximation of a…

Methodology · Statistics 2025-02-07 Neil K. Chada , Ajay Jasra , Mohamed Maama , Raul Tempone

Inferential models (IMs) offer prior-free, Bayesian-like posterior degrees of belief designed for statistical inference, which feature a frequentist-like calibration property that ensures reliability of said inferences. The catch is that…

Computation · Statistics 2025-07-09 Ryan Martin

The inferential models (IM) framework provides prior-free, frequency-calibrated, posterior probabilistic inference. The key is the use of random sets to predict unobservable auxiliary variables connected to the observable data and unknown…

Statistics Theory · Mathematics 2016-01-26 Ryan Martin , Chuanhai Liu

In computational pathology, few-shot whole slide image classification is primarily driven by the extreme scarcity of expert-labeled slides. Recent vision-language methods incorporate textual semantics generated by large language models, but…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Jiahao Xu , Sheng Huang , Xin Zhang , Zhixiong Nan , Jiajun Dong , Nankun Mu

Despite major methodological developments, Bayesian inference for Gaussian graphical models remains challenging in high dimension due to the tremendous size of the model space. This article proposes a method to infer the marginal and…

Methodology · Statistics 2018-04-10 Gwenaël G. R. Leday , Sylvia Richardson

State estimation of multi-modal hybrid systems is an important problem with many applications in the field robotics. However, incorporating discrete modes in the estimation process is hampered by a potentially combinatorial growth in…

Robotics · Computer Science 2021-03-25 Fan Jiang , Varun Agrawal , Russell Buchanan , Maurice Fallon , Frank Dellaert