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We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Illusions are fascinating and immediately catch people's attention and interest, but they are also valuable in terms of giving us insights into human cognition and perception. A good theory of human perception should be able to explain the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Nasim Nematzadeh , David M. W. Powers , Trent Lewis

Light microscopy is a widespread and inexpensive imaging technique facilitating biomedical discovery and diagnostics. However, light diffraction barrier and imperfections in optics limit the level of detail of the acquired images. The…

Quantitative Methods · Quantitative Biology 2026-03-24 Rui Li , Gabriel della Maggiora , Vardan Andriasyan , Anthony Petkidis , Artsemi Yushkevich , Mikhail Kudryashev , Artur Yakimovich

Images can vary according to changes in viewpoint, resolution, noise, and illumination. In this paper, we aim to learn representations for an image, which are robust to wide changes in such environmental conditions, using training pairs of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Kye-Hyeon Kim , Rui Cai , Lei Zhang , Seungjin Choi

Linear programming (LP) relaxations are widely employed in exact solution methods for multilinear programs (MLP). One example is the family of Recursive McCormick Linearization (RML) strategies, where bilinear products are substituted for…

Optimization and Control · Mathematics 2022-07-20 Arvind U Raghunathan , Carlos Cardonha , David Bergman , Carlos J Nohra

Knowledge distillation typically involves transferring knowledge from a Large Language Model (LLM) to a Smaller Language Model (SLM). However, in tasks such as text matching, fine-tuned smaller models often yield more effective…

Computation and Language · Computer Science 2025-07-09 Mingzhe Li , Jing Xiang , Qishen Zhang , Kaiyang Wan , Xiuying Chen

Operations research (OR) uses mathematical models to enhance decision-making, but developing these models requires expert knowledge and can be time-consuming. Automated mathematical programming (AMP) has emerged to simplify this process,…

Artificial Intelligence · Computer Science 2025-01-29 Junxuan Li , Ryan Wickman , Sahil Bhatnagar , Raj Kumar Maity , Arko Mukherjee

Multi-modal affective computing aims to automatically recognize and interpret human attitudes from diverse data sources such as images and text, thereby enhancing human-computer interaction and emotion understanding. Existing approaches…

Computation and Language · Computer Science 2025-06-10 Yuanhe Tian , Pengsen Cheng , Guoqing Jin , Lei Zhang , Yan Song

With the increasing penetration of renewable energy, traditional physics-based power system operation faces growing challenges in achieving economic efficiency, stability, and robustness. Machine learning (ML) has emerged as a powerful tool…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Wangkun Xu , Zhongda Chu , Fei Teng

Adaptive (or deformable) mirrors are widely used as wavefront correctors in adaptive optics systems. The optical calibration of an adaptive mirror is a fundamental step during its life-cycle: the process is in facts required to compute a…

Instrumentation and Methods for Astrophysics · Physics 2022-10-11 Runa Briguglio , Marco Xompero , Armando Riccardi

This paper introduces the class of grey-scale image stack operators as those that (a) map binary-images into binary-images and (b) commute on average with cross-sectioning. Equivalently, stack operators are 1-Lipchitz extensions of set…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Diego Marcondes

Deep learning-based bilateral grid processing has emerged as a promising solution for image enhancement, inherently encoding spatial and intensity information while enabling efficient full-resolution processing through slicing operations.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Junyu Lou , Xiaorui Zhao , Kexuan Shi , Shuhang Gu

The advancement of artificial intelligence demands flexible multimodal data processing with high throughput and energy efficiency. Photonic integrated circuits (PIC) has demonstrated promising potentials in terms of low latency and low…

This paper introduces a broad class of Mirror Descent (MD) and Generalized Exponentiated Gradient (GEG) algorithms derived from trace-form entropies defined via deformed logarithms. Leveraging these generalized entropies yields MD \& GEG…

Machine Learning · Computer Science 2025-10-29 Andrzej Cichocki , Toshihisa Tanaka , Frank Nielsen , Sergio Cruces

Advances in vectorial polarisation-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every…

Many numerical methods for multiscale differential equations require a scale separation between the larger and the smaller scales to achieve accuracy and computational efficiency. In the area of multiscale dynamical systems, so-called,…

Numerical Analysis · Mathematics 2025-07-01 Ziheng Chen , Björn Engquist

Connected operators are filtering tools that act by merging elementary regions of an image. A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Yongchao Xu , Thierry Géraud , Laurent Najman

Control of light through a microscope objective with a high numerical aperture is a common requirement in applications such as optogenetics, adaptive optics, or laser processing. Light propagation, including polarization effects, can be…

Optics · Physics 2023-03-22 Ivan Vishniakou , Johannes D. Seelig

Vision-language models (VLMs) have demonstrated exceptional generalization capabilities for downstream tasks. Due to its efficiency, prompt learning has gradually become a more effective and efficient method for transferring VLMs to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Chenhao Ding , Xinyuan Gao , Songlin Dong , Jizhou Han , Qiang Wang , Zhengdong Zhou , Yuhang He , Yihong Gong