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In this paper, we propose an algorithm that allows joint refinement of camera pose and scene geometry represented by decomposed low-rank tensor, using only 2D images as supervision. First, we conduct a pilot study based on a 1D signal and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Bo-Yu Cheng , Wei-Chen Chiu , Yu-Lun Liu

Image compression is a method to remove spatial redundancy between adjacent pixels and reconstruct a high-quality image. In the past few years, deep learning has gained huge attention from the research community and produced promising image…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Khawar Islam , L. Minh Dang , Sujin Lee , Hyeonjoon Moon

We adress the problem of spherical deconvolution in a non parametric statistical framework, where both the signal and the operator kernel are subject to error measurements. After a preliminary treatment of the kernel, we apply a…

Statistics Theory · Mathematics 2013-01-16 Thomas Vareschi

In many modern data sets, High dimension low sample size (HDLSS) data is prevalent in many fields of studies. There has been an increased focus recently on using machine learning and statistical methods to mine valuable information out of…

Optimization and Control · Mathematics 2023-05-23 Srivathsan Amruth , Xin Yee Lam

Image super-resolution research recently been dominated by transformer models which need higher computational resources than CNNs due to the quadratic complexity of self-attention. We propose a new neural network -- WaveMixSR -- for image…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Pranav Jeevan , Akella Srinidhi , Pasunuri Prathiba , Amit Sethi

This paper tackles optimal sensor placement for Bayesian linear inverse problems, a popular version of the more general Optimal Experimental Design (OED) problem, using the D-optimality criterion. This is done by establishing connections…

Numerical Analysis · Mathematics 2025-04-07 Srinivas Eswar , Vishwas Rao , Arvind K. Saibaba

Compressed Sensing (CS) significantly speeds up Magnetic Resonance Image (MRI) processing and achieves accurate MRI reconstruction from under-sampled k-space data. According to the current research, there are still several problems with…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Junpeng Tan , Chunmei Qing , Xiangmin Xu

Learning expressive kernels while retaining tractable inference remains a central challenge in scaling Gaussian processes (GPs) to large and complex datasets. We propose a scalable GP regressor based on deep basis kernels (DBKs). Our DBK is…

Machine Learning · Statistics 2026-02-05 Yunqin Zhu , Henry Shaowu Yuchi , Yao Xie

The density based clustering method {\em Density-Based Spatial Clustering of Applications with Noise (DBSCAN)} is a popular method for outlier recognition and has received tremendous attention from many different areas. A major issue of the…

Computational Geometry · Computer Science 2020-02-28 Hu Ding , Fan Yang

We introduce a new class of multilevel, adaptive, dual-space methods for computing fast convolutional transforms. These methods can be applied to a broad class of kernels, from the Green's functions for classical partial differential…

Numerical Analysis · Mathematics 2023-09-12 Shidong Jiang , Leslie Greengard

Medical image segmentation has seen significant improvements with transformer models, which excel in grasping far-reaching contexts and global contextual information. However, the increasing computational demands of these models,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Reza Azad , Leon Niggemeier , Michael Huttemann , Amirhossein Kazerouni , Ehsan Khodapanah Aghdam , Yury Velichko , Ulas Bagci , Dorit Merhof

Deep learning has made significant impacts on multi-view stereo systems. State-of-the-art approaches typically involve building a cost volume, followed by multiple 3D convolution operations to recover the input image's pixel-wise depth.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Zhenpei Yang , Zhile Ren , Qi Shan , Qixing Huang

Traditional dictionary learning methods are based on quadratic convex loss function and thus are sensitive to outliers. In this paper, we propose a generic framework for robust dictionary learning based on concave losses. We provide results…

Machine Learning · Computer Science 2017-11-03 Rafael Will M de Araujo , Roberto Hirata , Alain Rakotomamonjy

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Random sinusoidal features are a popular approach for speeding up kernel-based inference in large datasets. Prior to the inference stage, the approach suggests performing dimensionality reduction by first multiplying each data vector by a…

Machine Learning · Statistics 2017-07-12 Mohammadreza Soltani , Chinmay Hegde

Differential privacy has become a cornerstone in the development of privacy-preserving learning algorithms. This work addresses optimizing differentially private kernel learning within the empirical risk minimization (ERM) framework. We…

Machine Learning · Statistics 2026-04-30 Bonwoo Lee , Cheolwoo Park , Jeongyoun Ahn

Dimension reduction is often needed in the area of data mining. The goal of these methods is to map the given high-dimensional data into a low-dimensional space preserving certain properties of the initial data. There are two kinds of…

Numerical Analysis · Mathematics 2015-03-23 Yanlai Chen

In a Jacobi--Davidson (JD) type method for singular value decomposition (SVD) problems, called JDSVD, a large symmetric and generally indefinite correction equation is solved iteratively at each outer iteration, which constitutes the inner…

Numerical Analysis · Mathematics 2026-02-17 Jinzhi Huang , Zhongxiao Jia

High dimension low sample size statistical analysis is important in a wide range of applications. In such situations, the highly appealing discrimination method, support vector machine, can be improved to alleviate data piling at the…

Optimization and Control · Mathematics 2017-08-18 Xin Yee Lam , J. S. Marron , Defeng Sun , Kim-Chuan Toh

Guided depth map super-resolution (GDSR), as a hot topic in multi-modal image processing, aims to upsample low-resolution (LR) depth maps with additional information involved in high-resolution (HR) RGB images from the same scene. The…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Zixiang Zhao , Jiangshe Zhang , Xiang Gu , Chengli Tan , Shuang Xu , Yulun Zhang , Radu Timofte , Luc Van Gool