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We develop a new statistical model for photographic images, in which the local responses of a bank of linear filters are described as jointly Gaussian, with zero mean and a covariance that varies slowly over spatial position. We optimize…

Computer Vision and Pattern Recognition · Computer Science 2015-03-25 Olivier J. Hénaff , Johannes Ballé , Neil C. Rabinowitz , Eero P. Simoncelli

In this paper, we consider high-dimensional Gaussian graphical models where the true underlying graph is decomposable. A hierarchical $G$-Wishart prior is proposed to conduct a Bayesian inference for the precision matrix and its graph…

Statistics Theory · Mathematics 2021-02-18 Kyoungjae Lee , Xuan Cao

We propose a novel approach to estimating the precision matrix of multivariate Gaussian data that relies on decomposing them into a low-rank and a diagonal component. Such decompositions are very popular for modeling large covariance…

Methodology · Statistics 2022-08-18 Noirrit Kiran Chandra , Peter Mueller , Abhra Sarkar

Piecewise affine functions are widely used to approximate nonlinear and discontinuous functions. However, most, if not all existing models only deal with fitting continuous functions. In this paper, we investigate the problem of fitting a…

Optimization and Control · Mathematics 2020-01-29 Ruobing Shen , Bo Tang , Leo Liberti , Claudia D'Ambrosio , Stéphane Canu

We propose a new space-variant regularization term for variational image restoration based on the assumption that the gradient magnitudes of the target image distribute locally according to a half-Generalized Gaussian distribution. This…

Image and Video Processing · Electrical Eng. & Systems 2019-06-27 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari

Bottom-up approaches for image-based multi-person pose estimation consist of two stages: (1) keypoint detection and (2) grouping of the detected keypoints to form person instances. Current grouping approaches rely on learned embedding from…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Jiahao Lin , Gim Hee Lee

In a semi-supervised learning scenario, (possibly noisy) partially observed labels are used as input to train a classifier, in order to assign labels to unclassified samples. In this paper, we study this classifier learning problem from a…

Machine Learning · Computer Science 2017-07-21 Gene Cheung , Weng-Tai Su , Yu Mao , Chia-Wen Lin

The collaborative filtering (CF) problem with only user-item interaction information can be solved by graph signal processing (GSP), which uses low-pass filters to smooth the observed interaction signals on the similarity graph to obtain…

Information Retrieval · Computer Science 2023-02-07 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Li Shang , Ning Gu

Despite their popularity, to date, the application of normalizing flows on categorical data stays limited. The current practice of using dequantization to map discrete data to a continuous space is inapplicable as categorical data has no…

Machine Learning · Computer Science 2021-01-22 Phillip Lippe , Efstratios Gavves

Dynamic graph signal processing provides a principled framework for analyzing time-varying data defined on irregular graph domains. However, existing joint time-vertex transforms such as the joint time-vertex fractional Fourier transform…

Signal Processing · Electrical Eng. & Systems 2025-11-21 Manjun Cui , Ziqi Yan , Yangfan He , Zhichao Zhang

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

Machine Learning · Statistics 2026-05-12 Anthony Stephenson

Graph sampling addresses the problem of selecting a node subset in a graph to collect samples, so that a K-bandlimited signal can be reconstructed in high fidelity. Assuming an independent and identically distributed (i.i.d.) noise model,…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Fen Wang , Gene Cheung , Yongchao Wang

In 3D image/video acquisition, different views are often captured with varying noise levels across the views. In this paper, we propose a graph-based image enhancement technique that uses a higher quality view to enhance a degraded view. A…

Computer Vision and Pattern Recognition · Computer Science 2015-09-08 Dong Tian , Hassan Mansour , Andrew Knyazev , Anthony Vetro

This paper presents a Gaussian process (GP) model for estimating piecewise continuous regression functions. In scientific and engineering applications of regression analysis, the underlying regression functions are piecewise continuous in…

Methodology · Statistics 2021-04-15 Chiwoo Park

We propose a data-adaptive probabilistic intensity remapping framework for structure-preserving transformation of grayscale images. The suggested method formulates intensity transformation as a continuous, data-driven remapping process, in…

Quantum Physics · Physics 2026-04-24 Debashis Saikia , Bikash K. Behera , Mayukha Pal , Prasanta K. Panigrahi

We address the challenge of incorporating document-level metadata into topic modeling to improve topic mixture estimation. To overcome the computational complexity and lack of theoretical guarantees in existing Bayesian methods, we extend…

Machine Learning · Computer Science 2025-03-18 Yeo Jin Jung , Claire Donnat

Graph signal processing (GSP) provides a powerful framework for analyzing signals arising in a variety of domains. In many applications of GSP, multiple network structures are available, each of which captures different aspects of the same…

Machine Learning · Statistics 2021-11-03 Michael Weylandt , George Michailidis , T. Mitchell Roddenberry

Graph Self-Supervised Learning (GSSL) has emerged as a powerful paradigm for generating high-quality representations for graph-structured data. While multi-scale graph contrastive learning has received increasing attention, many existing…

Machine Learning · Computer Science 2026-05-14 Mohamed Mahmoud Amar , Nairouz Mrabah , Mohamed Bouguessa , Abdoulaye Baniré Diallo

The remarkable growth and significant success of machine learning have expanded its applications into programming languages and program analysis. However, a key challenge in adopting the latest machine learning methods is the representation…

Programming Languages · Computer Science 2023-12-01 Ali TehraniJamsaz , Quazi Ishtiaque Mahmud , Le Chen , Nesreen K. Ahmed , Ali Jannesari

The employment of convolutional neural networks has achieved unprecedented performance in the task of image restoration for a variety of degradation factors. However, high-performance networks have been specifically designed for a single…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Xing Liu , Masanori Suganuma , Xiyang Luo , Takayuki Okatani