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We propose denoising diffusion variational inference (DDVI), a black-box variational inference algorithm for latent variable models which relies on diffusion models as flexible approximate posteriors. Specifically, our method introduces an…

Machine Learning · Computer Science 2026-03-16 Wasu Top Piriyakulkij , Yingheng Wang , Volodymyr Kuleshov

Machine learning, and eventually true artificial intelligence techniques, are extremely important advancements in astrophysics and astronomy. We explore the application of deep learning using neural networks in order to automate the…

Instrumentation and Methods for Astrophysics · Physics 2020-12-29 James Bird , Kellan Colburn , Linda Petzold , Philip Lubin

To infer a function value on a specific point $x$, it is essential to assign higher weights to the points closer to $x$, which is called local polynomial / multivariable regression. In many practical cases, a limited sample size may ruin…

Machine Learning · Statistics 2024-09-30 Yanwu Gu , Dong Xia

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

We seek to achieve the Holy Grail of Bayesian inference for gravitational-wave astronomy: using deep-learning techniques to instantly produce the posterior $p(\theta|D)$ for the source parameters $\theta$, given the detector data $D$. To do…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Alvin J. K. Chua , Michele Vallisneri

Astrometry -- the precise measurement of positions and motions of celestial objects -- has emerged as a promising avenue for characterizing the dark matter population in our Galaxy. By leveraging recent advances in simulation-based…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-06 Siddharth Mishra-Sharma

Solving high-dimensional Bayesian inverse problems (BIPs) with the variational inference (VI) method is promising but still challenging. The main difficulties arise from two aspects. First, VI methods approximate the posterior distribution…

Numerical Analysis · Mathematics 2023-02-23 Yingzhi Xia , Qifeng Liao , Jinglai Li

Identifying defect patterns in a wafer map during manufacturing is crucial to find the root cause of the underlying issue and provides valuable insights on improving yield in the foundry. Currently used methods use deep neural networks to…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Nitish Shukla

Recently, deep generative models have been used for posterior inference in inverse problems, including high-stakes applications in medical imaging and scientific discovery, where the uncertainty of a prediction can matter as much as the…

Machine Learning · Computer Science 2026-05-15 Yuxin Guo , Dongrui Deng , Pulkit Grover

In this paper, we present a novel approach to the estimation of strongly varying backgrounds in astronomical images by means of small objects removal and subsequent missing pixels interpolation. The method is based on the analysis of a…

Instrumentation and Methods for Astrophysics · Physics 2016-08-10 Adam Popowicz , Bogdan Smolka

Semi-analytical waveform models for black hole binaries require calibration against numerical relativity waveforms to accurately represent the late inspiral and merger, where analytical approximations fail. After the fitting coefficients…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Simone Mezzasoma , Carl-Johan Haster , Caroline B. Owen , Neil J. Cornish , Nicolás Yunes

Although deep learning has been applied to successfully address many data mining problems, relatively limited work has been done on deep learning for anomaly detection. Existing deep anomaly detection methods, which focus on learning new…

Machine Learning · Computer Science 2019-11-21 Guansong Pang , Chunhua Shen , Anton van den Hengel

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

Computational imaging plays a pivotal role in determining hidden information from sparse measurements. A robust inverse solver is crucial to fully characterize the uncertainty induced by these measurements, as it allows for the estimation…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Sirui Bi , Victor Fung , Jiaxin Zhang

Blind image denoising is an important yet very challenging problem in computer vision due to the complicated acquisition process of real images. In this work we propose a new variational inference method, which integrates both noise…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng

In this paper, we present a deep learning based image feature extraction method designed specifically for face images. To train the feature extraction model, we construct a large scale photo-realistic face image dataset with ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Boyi Jiang , Juyong Zhang , Bailin Deng , Yudong Guo , Ligang Liu

Gravitational-wave astronomy has entered a regime where it can extract information about the population properties of the observed binary black holes. The steep increase in the number of detections will offer deeper insights, but it will…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Stefano Rinaldi , Alexandre Toubiana , Jonathan R. Gair

Robust Bayesian inference using density power divergence (DPD) has emerged as a promising approach for handling outliers in statistical estimation. Although the DPD-based posterior offers theoretical guarantees of robustness, its practical…

Methodology · Statistics 2025-12-11 Naruki Sonobe , Tomotaka Momozaki , Tomoyuki Nakagawa

Ensembles of deep neural networks demonstrate improved performance over single models. For enhancing the diversity of ensemble members while keeping their performance, particle-based inference methods offer a promising approach from a…

Machine Learning · Computer Science 2022-06-03 Shingo Yashima , Teppei Suzuki , Kohta Ishikawa , Ikuro Sato , Rei Kawakami

Blind image deblurring is an important yet very challenging problem in low-level vision. Traditional optimization based methods generally formulate this task as a maximum-a-posteriori estimation or variational inference problem, whose…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Hui Wang , Zongsheng Yue , Qian Zhao , Deyu Meng