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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…

Optimization and Control · Mathematics 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…

Machine Learning · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Artificial Intelligence · Computer Science 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…

Robotics · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Statistics 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)…

Numerical Analysis · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Information Theory · Computer Science 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.…

Machine Learning · Statistics 2017-12-12 David W Dreisigmeyer