English
Related papers

Related papers: Differentiable SVD based on Moore-Penrose Pseudoin…

200 papers

The massive scale of pretrained models has made efficient compression essential for practical deployment. Low-rank decomposition based on the singular value decomposition (SVD) provides a principled approach for model reduction, but its…

Machine Learning · Computer Science 2026-04-06 Farhad Pourkamali-Anaraki

In this work, we investigate the idea of variance reduction by studying its properties with general adaptive mirror descent algorithms in nonsmooth nonconvex finite-sum optimization problems. We propose a simple yet generalized framework…

Machine Learning · Statistics 2022-10-18 Wenjie Li , Zhanyu Wang , Yichen Zhang , Guang Cheng

A basic algorithmic task in automated video surveillance is to separate background and foreground objects. Camera tampering, noisy videos, low frame rate, etc., pose difficulties in solving the problem. A general approach that classifies…

Applications · Statistics 2024-09-17 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

Recently, patch deformation-based methods have demonstrated significant effectiveness in multi-view stereo due to their incorporation of deformable and expandable perception for reconstructing textureless areas. However, these methods…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Zhenlong Yuan , Dapeng Zhang , Zehao Li , Chengxuan Qian , Jianing Chen , Yinda Chen , Kehua Chen , Tianlu Mao , Zhaoxin Li , Hao Jiang , Zhaoqi Wang

We propose a novel image sampling method for differentiable image transformation in deep neural networks. The sampling schemes currently used in deep learning, such as Spatial Transformer Networks, rely on bilinear interpolation, which…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Wei Jiang , Weiwei Sun , Andrea Tagliasacchi , Eduard Trulls , Kwang Moo Yi

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

We present a learning based approach for multi-view stereopsis (MVS). While current deep MVS methods achieve impressive results, they crucially rely on ground-truth 3D training data, and acquisition of such precise 3D geometry for…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Tejas Khot , Shubham Agrawal , Shubham Tulsiani , Christoph Mertz , Simon Lucey , Martial Hebert

Diffusion models are the current state-of-the-art for solving inverse problems in imaging. Their impressive generative capability allows them to approximate sampling from a prior distribution, which alongside a known likelihood function…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Samuel W. Remedios , Zhangxing Bian , Shuwen Wei , Aaron Carass , Jerry L. Prince , Blake E. Dewey

In this paper, we introduce a deep multi-view stereo (MVS) system that jointly predicts depths, surface normals and per-view confidence maps. The key to our approach is a novel solver that iteratively solves for per-view depth map and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-20 Wang Zhao , Shaohui Liu , Yi Wei , Hengkai Guo , Yong-Jin Liu

In this paper, we propose new randomization based algorithms for large scale linear discrete ill-posed problems with general-form regularization: ${\min} \|Lx\|$ subject to ${\min} \|Ax - b\|$, where $L$ is a regularization matrix. Our…

Numerical Analysis · Mathematics 2019-09-24 Zhongxiao Jia , Yanfei Yang

We introduce an inexact variant of Stochastic Mirror Descent (SMD), called Inexact Stochastic Mirror Descent (ISMD), to solve nonlinear two-stage stochastic programs where the second stage problem has linear and nonlinear coupling…

Optimization and Control · Mathematics 2020-06-30 Vincent Guigues

The success of existing deep-learning based multi-view stereo (MVS) approaches greatly depends on the availability of large-scale supervision in the form of dense depth maps. Such supervision, while not always possible, tends to hinder the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Yuchao Dai , Zhidong Zhu , Zhibo Rao , Bo Li

The solution of linear inverse problems arising, for example, in signal and image processing is a challenging problem since the ill-conditioning amplifies, in the solution, the noise present in the data. Recently introduced algorithms based…

Numerical Analysis · Mathematics 2024-02-08 Davide Evangelista , James Nagy , Elena Morotti , Elena Loli Piccolomini

Vanishing and exploding gradients are two of the main obstacles in training deep neural networks, especially in capturing long range dependencies in recurrent neural networks~(RNNs). In this paper, we present an efficient parametrization of…

Machine Learning · Computer Science 2018-03-28 Jiong Zhang , Qi Lei , Inderjit S. Dhillon

Single Image Super-Resolution (SISR) aims to recover a high-resolution image from a given low-resolution version of it. Video Super Resolution (VSR) targets series of given images, aiming to fuse them to create a higher resolution outcome.…

Image and Video Processing · Electrical Eng. & Systems 2019-10-02 Alon Brifman , Yaniv Romano , Michael Elad

Singular Value Decomposition (SVD) is a popular approach in various network applications, such as link prediction and network parameter characterization. Incremental SVD approaches are proposed to process newly changed nodes and edges in…

Social and Information Networks · Computer Science 2017-11-28 Ziwei Zhang , Peng Cui , Jian Pei , Xiao Wang , Wenwu Zhu

Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for…

Artificial Intelligence · Computer Science 2024-06-21 Weitong Zhang , Chengqi Zang , Liu Li , Sarah Cechnicka , Cheng Ouyang , Bernhard Kainz

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

We present the first framework to solve linear inverse problems leveraging pre-trained latent diffusion models. Previously proposed algorithms (such as DPS and DDRM) only apply to pixel-space diffusion models. We theoretically analyze our…

Machine Learning · Computer Science 2023-07-04 Litu Rout , Negin Raoof , Giannis Daras , Constantine Caramanis , Alexandros G. Dimakis , Sanjay Shakkottai

This paper is devoted to proposing a general weighted low-rank recovery model and designing a fast SVD-free computational scheme to solve it. First, our generic weighted low-rank recovery model unifies several existing approaches in the…

Optimization and Control · Mathematics 2022-08-02 Aritra Dutta , Jingwei Liang , Xin Li