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Consider the problem of minimizing the sum of a smooth convex function and a separable nonsmooth convex function subject to linear coupling constraints. Problems of this form arise in many contemporary applications including signal…

Optimization and Control · Mathematics 2014-01-29 Mingyi Hong , Tsung-Hui Chang , Xiangfeng Wang , Meisam Razaviyayn , Shiqian Ma , Zhi-Quan Luo

We present a two-level preconditioner for solving linear systems arising from the discretization of the elliptic, linear-elastic deformation equation, in displacement unknowns, over domains that have arbitrary geometric and topological…

Numerical Analysis · Mathematics 2025-09-25 Sabit Mahmood Khan , Yashar Mehmani

Intelligent reflecting surface (IRS) is an emerging technology for wireless communication composed of a large number of low-cost passive devices with reconfigurable parameters, which can reflect signals with a certain phase shift and is…

Information Theory · Computer Science 2023-02-16 Feng Shu , Lili Yang , Yan Wang , Xuehui Wang , Weiping Shi , Chong Shen , Jiangzhou Wang

In this paper, we propose a novel transmissive reconfigurable intelligent surface (TRIS) transmitter-enabled spatial modulation (SM) multiple-input multiple-output (MIMO) system. In the transmission phase, a column-wise activation strategy…

Information Theory · Computer Science 2024-03-29 Xusheng Zhu , Qingqing Wu , Wen Chen

Targeting solutions over `flat' regions of the loss landscape, sharpness-aware minimization (SAM) has emerged as a powerful tool to improve generalizability of deep neural network based learning. While several SAM variants have been…

Machine Learning · Computer Science 2025-01-14 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

Robotic imitation learning typically requires models that capture multimodal action distributions while operating at real-time control rates and accommodating multiple sensing modalities. Although recent generative approaches such as…

Robotics · Computer Science 2026-02-03 Amisha Bhaskar , Pratap Tokekar , Stefano Di Cairano , Alexander Schperberg

Zeroth-order (ZO) optimization has become increasingly popular and important in fine-tuning large language models (LLMs), especially on edge devices due to its ability to adjust the model to local data without the need for memory-intensive…

Machine Learning · Computer Science 2026-05-18 Jiahe Chen , Ziye Ma

Signal decomposition is a classical problem in signal processing, which aims to separate an observed signal into two or more components each with its own property. Usually each component is described by its own subspace or dictionary.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Shervin Minaee , Yao Wang

Linear reduced-order modeling (ROM) simplifies complex simulations by approximating the behavior of a system using a simplified kinematic representation. Typically, ROM is trained on input simulations created with a specific spatial…

Model order reduction (MOR) methods that are designed to preserve structural features of a given full order model (FOM) often suffer from a lower accuracy when compared to their non-structure-preserving counterparts. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Paul Schwerdtner , Matthias Voigt

Symbol-level precoding is a new paradigm for multiuser downlink systems which aims at creating constructive interference among the transmitted data streams. This can be enabled by designing the precoded signal of the multiantenna…

Information Theory · Computer Science 2017-04-12 Maha Alodeh , Symeon Chatzinotas , Bjorn Ottersten

Image simulation for scanning transmission electron microscopy at atomic resolution for samples with realistic dimensions can require very large computation times using existing simulation algorithms. We present a new algorithm named PRISM…

Materials Science · Physics 2017-04-24 Colin Ophus

Index modulation, where information bits are conveyed through antenna indices (spatial modulation) and subcarrier indices (subcarrier index modulation) in addition to information bits conveyed through conventional modulation symbols, is…

Information Theory · Computer Science 2014-07-08 T. Lakshmi Narasimhan , A. Chockalingam

Particle-based shape modeling (PSM) is a popular approach to automatically quantify shape variability in populations of anatomies. The PSM family of methods employs optimization to automatically populate a dense set of corresponding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Hong Xu , Shireen Y. Elhabian

In recent years, Muon has emerged as the dominant method for training large language models, and transformers more broadly. The essential difference, when compared to standard gradient descent methods, is to replace the usual update matrix…

Machine Learning · Computer Science 2026-05-25 Fangzhou Wu , Rikhav Shah , Sandeep Silwal , Qiuyi Zhang

In this note, we inspect the convergence of a new optimizer for pretraining LLMs, namely the Muon optimizer. Such an optimizer is closely related to a specialized steepest descent method where the update direction is the minimizer of the…

Optimization and Control · Mathematics 2025-06-03 Jiaxiang Li , Mingyi Hong

The discovery of orbital angular momentum (OAM) in light established a new degree of freedom by which to control not only its flow but also its interaction with matter. Here, we show that by shaping extremely sub-wavelength polariton modes,…

This letter presents a low-complexity hybrid precoding framework for multiuser multiple-input multiple-output (MIMO) systems by leveraging a low-dimensional subspace property. Under the low-dimensional subspace perspective, we first…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Mintaek Oh , Jinseok Choi

The role of phase in neural sequence models remains poorly understood. To isolate this question, we introduce PRISM, a complex-valued encoder that enforces a unit-norm constraint ($|z| = 1$) and replaces attention with gated spectral…

Machine Learning · Computer Science 2026-03-18 Alper Yıldırım , İbrahim Yücedağ

This paper proposes an efficient hypergraph partitioning framework based on a novel multi-objective non-convex constrained relaxation model. A modified accelerated proximal gradient algorithm is employed to generate diverse $k$-dimensional…

Machine Learning · Computer Science 2025-09-29 Yingying Li , Mingxuan Xie , Hailong You , Yongqiang Yao , Hongwei Liu