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We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

Optimization and Control · Mathematics 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

Developing robust and interpretable vision systems is a crucial step towards trustworthy artificial intelligence. In this regard, a promising paradigm considers embedding task-required invariant structures, e.g., geometric invariance, in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Shuren Qi , Yushu Zhang , Chao Wang , Zhihua Xia , Xiaochun Cao , Jian Weng

Mining structural priors in data is a widely recognized technique for hyperspectral image (HSI) denoising tasks, whose typical ways include model-based methods and data-based methods. The model-based methods have good generalization…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Jiangjun Peng , Hailin Wang , Xiangyong Cao , Xinlin Liu , Xiangyu Rui , Deyu Meng

Vision-Language Models (VLMs) have achieved remarkable success in visual question answering tasks, but their reliance on large numbers of visual tokens introduces significant computational overhead. While existing efficient VLM approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Zichuan Lin , Yicheng Liu , Yang Yang , Lvfang Tao , Deheng Ye

For image denoising problems, the structure tensor total variation (STV)-based models show good performances when compared with other competing regularization approaches. However, the STV regularizer does not couple the local information of…

Optimization and Control · Mathematics 2024-04-05 Xiuhan Sheng , Lijuan Yang , Jingya Chang

Recent advances in extreme image compression have revealed that mapping pixel data into highly compact latent representations can significantly improve coding efficiency. However, most existing methods compress images into 2-D latent spaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Han Liu , Hengyu Man , Xingtao Wang , Wenrui Li , Debin Zhao

We study the problem of bivariate discrete or continuous probability density estimation under low-rank constraints.For discrete distributions, we assume that the two-dimensional array to estimate is a low-rank probability matrix. In the…

Statistics Theory · Mathematics 2024-10-23 Julien Chhor , Olga Klopp , Alexandre Tsybakov

Minimum Variance Distortionless Response (MVDR) is a classical adaptive beamformer that theoretically ensures the distortionless transmission of signals in the target direction, which makes it popular in real applications. Its noise…

Sound · Computer Science 2024-09-16 Jinglin Bai , Hao Li , Xueliang Zhang , Fei Chen

Humans make extensive use of vision and touch as complementary senses, with vision providing global information about the scene and touch measuring local information during manipulation without suffering from occlusions. While prior work…

Robotics · Computer Science 2023-08-01 Justin Kerr , Huang Huang , Albert Wilcox , Ryan Hoque , Jeffrey Ichnowski , Roberto Calandra , Ken Goldberg

In this paper, we study a practical space-time video super-resolution (STVSR) problem which aims at generating a high-framerate high-resolution sharp video from a low-framerate low-resolution blurry video. Such problem often occurs when…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Jiezhang Cao , Jingyun Liang , Kai Zhang , Wenguan Wang , Qin Wang , Yulun Zhang , Hao Tang , Luc Van Gool

Dimensionality reduction (DR) on the manifold includes effective methods which project the data from an implicit relational space onto a vectorial space. Regardless of the achievements in this area, these algorithms suffer from the lack of…

Machine Learning · Computer Science 2019-09-23 Babak Hosseini , Barbara Hammer

Conventional model-based image denoising optimizations employ convex regularization terms, such as total variation (TV) that convexifies the $\ell_0$-norm to promote sparse signal representation. Instead, we propose a new non-convex total…

Image and Video Processing · Electrical Eng. & Systems 2025-06-04 Songlin Wei , Gene Cheung , Fei Chen , Ivan Selesnick

Quantization is a fundamental optimization for many machine-learning use cases, including compressing gradients, model weights and activations, and datasets. The most accurate form of quantization is \emph{adaptive}, where the error is…

Machine Learning · Computer Science 2025-08-01 Ran Ben-Basat , Yaniv Ben-Itzhak , Michael Mitzenmacher , Shay Vargaftik

We propose a novel deterministic sampling method to approximate a target distribution $\rho^*$ by minimizing the kernel discrepancy, also known as the Maximum Mean Discrepancy (MMD). By employing the general \emph{energetic variational…

Machine Learning · Statistics 2025-03-12 Yindong Chen , Yiwei Wang , Lulu Kang , Chun Liu

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Contemporary lossy image and video coding standards rely on transform coding, the process through which pixels are mapped to an alternative representation to facilitate efficient data compression. Despite impressive performance of…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Lyndon R. Duong , Bohan Li , Cheng Chen , Jingning Han

This paper explores adaptive variance reduction methods for stochastic optimization based on the STORM technique. Existing adaptive extensions of STORM rely on strong assumptions like bounded gradients and bounded function values, or suffer…

Optimization and Control · Mathematics 2024-10-24 Wei Jiang , Sifan Yang , Yibo Wang , Lijun Zhang

Sparse representation of a single measurement vector (SMV) has been explored in a variety of compressive sensing applications. Recently, SMV models have been extended to solve multiple measurement vectors (MMV) problems, where the…

Optimization and Control · Mathematics 2020-08-25 Jing Qin , Shuang Li , Deanna Needell , Anna Ma , Rachel Grotheer , Chenxi Huang , Natalie Durgin

We consider the problem of matrix completion on an $n \times m$ matrix. We introduce the problem of Interpretable Matrix Completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the…

Optimization and Control · Mathematics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

Feature selection, which is a technique to select key features in recommender systems, has received increasing research attention. Recently, Adaptive Feature Selection (AdaFS) has shown remarkable performance by adaptively selecting…

Information Retrieval · Computer Science 2023-09-07 Youngjune Lee , Yeongjong Jeong , Keunchan Park , SeongKu Kang