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Bayesian Generative AI (BayesGen-AI) methods are developed and applied to Bayesian computation. BayesGen-AI reconstructs the posterior distribution by directly modeling the parameter of interest as a mapping (a.k.a. deep learner) from a…

Computation · Statistics 2024-02-27 Nicholas G. Polson , Vadim Sokolov

This paper presents the Deep Convolution Inverse Graphics Network (DC-IGN), a model that learns an interpretable representation of images. This representation is disentangled with respect to transformations such as out-of-plane rotations…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Tejas D. Kulkarni , Will Whitney , Pushmeet Kohli , Joshua B. Tenenbaum

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

We present a novel high frequency residual learning framework, which leads to a highly efficient multi-scale network (MSNet) architecture for mobile and embedded vision problems. The architecture utilizes two networks: a low resolution…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Bowen Cheng , Rong Xiao , Jianfeng Wang , Thomas Huang , Lei Zhang

Bayesian inference was once a gold standard for learning with neural networks, providing accurate full predictive distributions and well calibrated uncertainty. However, scaling Bayesian inference techniques to deep neural networks is…

Machine Learning · Computer Science 2019-07-18 Pavel Izmailov , Wesley J. Maddox , Polina Kirichenko , Timur Garipov , Dmitry Vetrov , Andrew Gordon Wilson

Solving inverse problems in scientific and engineering fields has long been intriguing and holds great potential for many applications, yet most techniques still struggle to address issues such as high dimensionality, nonlinearity and model…

Machine Learning · Computer Science 2024-05-24 Qiuyi Chen , Panagiotis Tsilifis , Mark Fuge

Inverse problems arise almost everywhere in science and engineering where we need to infer on a quantity from indirect observation. The cases of medical, biomedical, and industrial imaging systems are the typical examples. A very high…

Machine Learning · Computer Science 2025-02-20 Ali Mohammad-Djafari

This paper proposes a sparse Bayesian treatment of deep neural networks (DNNs) for system identification. Although DNNs show impressive approximation ability in various fields, several challenges still exist for system identification…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Hongpeng Zhou , Chahine Ibrahim , Wei Xing Zheng , Wei Pan

In this paper, we leverage the recent advances in physics-informed neural network (PINN) and develop a generic PINN-based framework to assess the reliability of multi-state systems (MSSs). The proposed methodology consists of two major…

Machine Learning · Computer Science 2021-12-02 Taotao Zhou , Xiaoge Zhang , Enrique Lopez Droguett , Ali Mosleh

We develop a multivariate posterior sampling procedure through deep generative quantile learning. Simulation proceeds implicitly through a push-forward mapping that can transform i.i.d. random vector samples from the posterior. We utilize…

Computation · Statistics 2025-05-01 Jungeum Kim , Percy S. Zhai , Veronika Ročková

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

The CSGM framework (Bora-Jalal-Price-Dimakis'17) has shown that deep generative priors can be powerful tools for solving inverse problems. However, to date this framework has been empirically successful only on certain datasets (for…

Machine Learning · Computer Science 2021-12-07 Ajil Jalal , Marius Arvinte , Giannis Daras , Eric Price , Alexandros G. Dimakis , Jonathan I. Tamir

Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

Methodology · Statistics 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

Multiple-instance Learning (MIL) is commonly used to undertake computational pathology (CPath) tasks, and the use of multi-scale patches allows diverse features across scales to be learned. Previous studies using multi-scale features in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Shuyang Wu , Yifu Qiu , Ines P. Nearchou , Sandrine Prost , Jonathan A Fallowfield , Hakan Bilen , Timothy J Kendall

Bayesian inference in deep neural networks is challenging due to the high-dimensional, strongly multi-modal parameter posterior density landscape. Markov chain Monte Carlo approaches asymptotically recover the true posterior but are…

Bayesian optimization (BO) has been broadly applied to computational expensive problems, but it is still challenging to extend BO to high dimensions. Existing works are usually under strict assumption of an additive or a linear embedding…

Machine Learning · Computer Science 2019-07-23 Miao Zhang , Huiqi Li , Steven Su

Deep generative models (e.g. GANs and VAEs) have been developed quite extensively in recent years. Lately, there has been an increased interest in the inversion of such a model, i.e. given a (possibly corrupted) signal, we wish to recover…

Machine Learning · Computer Science 2020-06-30 Aviad Aberdam , Dror Simon , Michael Elad

Recent advances in generative adversarial networks (GANs) have opened up the possibility of generating high-resolution photo-realistic images that were impossible to produce previously. The ability of GANs to sample from high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Arthur Conmy , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Compressive sensing (CS) is widely used to reduce the acquisition time of magnetic resonance imaging (MRI). Although state-of-the-art deep learning based methods have been able to obtain fast, high-quality reconstruction of CS-MR images,…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 Bhavya Vasudeva , Puneesh Deora , Saumik Bhattacharya , Pyari Mohan Pradhan

The use of accurate scanning transmission electron microscopy (STEM) image simulation methods require large computation times that can make their use infeasible for the simulation of many images. Other simulation methods based on linear…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Nick Lawrence , Mingren Shen , Ruiqi Yin , Cloris Feng , Dane Morgan