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In this paper, we study the optimization problem on a compact matrix manifold. While existing feasible algorithms can be broadly categorized into retraction-based and projection-based methods, compared to the more comprehensive and in-depth…

最优化与控制 · 数学 2025-11-21 Wentao Ding , Jianze Li , Shuzhong Zhang

Transmit power control (TPC) is a key mechanism for managing interference, energy utilization, and connectivity in wireless systems. In this paper, we propose a simple low-complexity TPC algorithm based on the deep unfolding of the…

机器学习 · 计算机科学 2023-06-22 Ramoni Adeogun

Template matching is widely used for many applications in image and signal processing and usually is time-critical. Traditional methods usually focus on how to reduce the search locations by coarse-to-fine strategy or full search combined…

数据结构与算法 · 计算机科学 2015-09-17 Sung-Hsien Hsieh , Chun-Shien Lu , and Soo-Chang Pei

We propose a template matching method for the detection of 2D image objects that are characterized by orientation patterns. Our method is based on data representations via orientation scores, which are functions on the space of positions…

计算机视觉与模式识别 · 计算机科学 2017-03-10 Erik J. Bekkers , Marco Loog , Bart M. ter Haar Romeny , Remco Duits

Conformal Autoencoders are a neural network architecture that imposes orthogonality conditions between the gradients of latent variables to obtain disentangled representations of data. In this work we show that orthogonality relations…

机器学习 · 计算机科学 2025-07-14 George A. Kevrekidis , Zan Ahmad , Mauro Maggioni , Soledad Villar , Yannis G. Kevrekidis

In artificial-intelligence-aided signal processing, existing deep learning models often exhibit a black-box structure, and their validity and comprehensibility remain elusive. The integration of topological methods, despite its relatively…

机器学习 · 计算机科学 2023-11-28 Pingyao Feng , Siheng Yi , Qingrui Qu , Zhiwang Yu , Yifei Zhu

Multi-Task Learning (MTL) can enhance a classifier's generalization performance by learning multiple related tasks simultaneously. Conventional MTL works under the offline or batch setting, and suffers from expensive training cost and poor…

机器学习 · 计算机科学 2017-06-28 Peng Yang , Peilin Zhao , Xin Gao

The identification of repeating patterns in discrete grids is rudimentary within symbolic reasoning, algorithm synthesis and structural optimization across diverse computational domains. Although statistical approaches targeting noisy data…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Sushish Baral , Paulo Garcia , Warisa Sritriratanarak

Classical unsupervised learning methods like clustering and linear dimensionality reduction parametrize large-scale geometry when it is discrete or linear, while more modern methods from manifold learning find low dimensional representation…

机器学习 · 计算机科学 2025-09-23 Luis Scoccola , Uzu Lim , Heather A. Harrington

Orthogonal time frequency space (OTFS) modulation is a robust candidate waveform for future wireless systems, particularly in high-mobility scenarios, as it effectively mitigates the impact of rapidly time-varying channels by mapping…

信号处理 · 电气工程与系统科学 2026-01-12 Meiwen Men , Tao Zhou , Kaifeng Bao , Zhiyang Guo , Yongning Qi , Liu Liu , Bo Ai

This paper presents an efficient gradient projection-based method for structural topological optimization problems characterized by a nonlinear objective function which is minimized over a feasible region defined by bilateral bounds and a…

计算工程、金融与科学 · 计算机科学 2020-06-16 Zhi Zeng , Fulei Ma

Fine-grained medical image classification is challenged by subtle inter-class variations and visually ambiguous cases, where confidence estimates often exhibit uncertainty rather than being overconfident. In such scenarios, purely…

人工智能 · 计算机科学 2026-04-21 Zixuan Tang , Shen Zhao

In this work, to facilitate the real-time processing of multi-scan registration error minimization on factor graphs, we devise a point cloud downsampling algorithm based on coreset extraction. This algorithm extracts a subset of the…

机器人学 · 计算机科学 2025-05-05 Kenji Koide , Aoki Takanose , Shuji Oishi , Masashi Yokozuka

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

机器学习 · 计算机科学 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

We propose a novel sparse tensor decomposition method, namely Tensor Truncated Power (TTP) method, that incorporates variable selection into the estimation of decomposition components. The sparsity is achieved via an efficient truncation…

机器学习 · 统计学 2016-05-04 Will Wei Sun , Junwei Lu , Han Liu , Guang Cheng

We present a novel view of nonlinear manifold learning using derivative-free optimization techniques. Specifically, we propose an extension of the classical multi-dimensional scaling (MDS) method, where instead of performing gradient…

Recent years have seen rapid advances in the data-driven analysis of dynamical systems based on Koopman operator theory and related approaches. On the other hand, low-rank tensor product approximations -- in particular the tensor train (TT)…

数值分析 · 数学 2021-08-11 Feliks Nüske , Patrick Gelß , Stefan Klus , Cecilia Clementi

Pre-trained vision-language models (e.g., CLIP) have shown promising zero-shot generalization in many downstream tasks with properly designed text prompts. Instead of relying on hand-engineered prompts, recent works learn prompts using the…

计算机视觉与模式识别 · 计算机科学 2022-09-16 Manli Shu , Weili Nie , De-An Huang , Zhiding Yu , Tom Goldstein , Anima Anandkumar , Chaowei Xiao

Recovery of an unknown sparse signal from a few of its projections is the key objective of compressed sensing. Often one comes across signals that are not ordinarily sparse but are sparse blockwise. Existing block sparse recovery algorithms…

信息论 · 计算机科学 2021-11-24 Samrat Mukhopadhyay , Mrityunjoy Chakraborty

The nonnegative matrix factorization is a widely used, flexible matrix decomposition, finding applications in biology, image and signal processing and information retrieval, among other areas. Here we present a related matrix factorization.…

机器学习 · 统计学 2017-12-12 David W Dreisigmeyer