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The Primal-Dual hybrid gradient (PDHG) method is a powerful optimization scheme that breaks complex problems into simple sub-steps. Unfortunately, PDHG methods require the user to choose stepsize parameters, and the speed of convergence is…

Numerical Analysis · Mathematics 2015-03-25 Tom Goldstein , Min Li , Xiaoming Yuan , Ernie Esser , Richard Baraniuk

Hyperparameter optimization (HPO) and neural architecture search (NAS) are methods of choice to obtain the best-in-class machine learning models, but in practice they can be costly to run. When models are trained on large datasets, tuning…

Machine Learning · Computer Science 2023-03-09 Ondrej Bohdal , Lukas Balles , Martin Wistuba , Beyza Ermis , Cédric Archambeau , Giovanni Zappella

Phase-rectified signal averaging (PRSA) is a widely used algorithm to analyze nonstationary biomedical time series. The method operates by identifying hinge points in the time series according to prescribed rules, extracting segments…

Statistics Theory · Mathematics 2025-11-04 Jiro Akahori , Joseph Najnudel , Hau-Tieng Wu , Ju-Yi Yen

In a general Hilbert framework, we consider continuous gradient-like dynamical systems for constrained multiobjective optimization involving non-smooth convex objective functions. Our approach is in the line of a previous work where was…

Optimization and Control · Mathematics 2017-07-14 Hedy Attouch , Guillaume Garrigos , Xavier Goudou

Rotating Synthetic Aperture Radar (ROSAR) can generate a 360$^\circ$ image of its surrounding environment using the collected data from a single moving track. Due to its non-linear track, the Back-Projection Algorithm (BPA) is commonly used…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Wei Zhao , Cai Wen , Quan Yuan , Rong Zheng

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

Quantum Physics · Physics 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

Multimodal Sentiment Analysis (MSA) seeks to understand human emotions by integrating textual, acoustic, and visual signals. Although multimodal fusion is designed to leverage cross-modal complementarity, real-world scenarios often exhibit…

Machine Learning · Computer Science 2025-11-26 Kang He , Boyu Chen , Yuzhe Ding , Fei Li , Chong Teng , Donghong Ji

We study constrained nested stochastic optimization problems in which the objective function is a composition of two smooth functions whose exact values and derivatives are not available. We propose a single time-scale stochastic…

Optimization and Control · Mathematics 2019-09-09 Saeed Ghadimi , Andrzej Ruszczyński , Mengdi Wang

A tutorial introduction to projective geometric algebra (PGA), a modern, coordinate-free framework for doing euclidean geometry. PGA features: uniform representation of points, lines, and planes; robust, parallel-safe join and meet…

General Mathematics · Mathematics 2020-08-19 Charles G. Gunn

Aspect-based Sentiment Analysis (ABSA) seeks to predict the sentiment polarity of a sentence toward a specific aspect. Recently, it has been shown that dependency trees can be integrated into deep learning models to produce the…

Computation and Language · Computer Science 2020-10-27 Amir Pouran Ben Veyseh , Nasim Nour , Franck Dernoncourt , Quan Hung Tran , Dejing Dou , Thien Huu Nguyen

Principal component analysis (PCA) is a dimensionality reduction method in data analysis that involves diagonalizing the covariance matrix of the dataset. Recently, quantum algorithms have been formulated for PCA based on diagonalizing a…

Quantum Physics · Physics 2022-10-26 Max Hunter Gordon , M. Cerezo , Lukasz Cincio , Patrick J. Coles

We provide a new online learning algorithm which utilizes online passive-aggressive learning (PA) and total-error-rate minimization (TER) for binary classification. The PA learning establishes not only large margin training but also the…

Machine Learning · Statistics 2020-02-06 Se-In Jang

The robustness and generalization ability of Presentation Attack Detection (PAD) methods is critical to ensure the security of Face Recognition Systems (FRSs). However, in a real scenario, Presentation Attacks (PAs) are various and it is…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Wentian Zhang , Haozhe Liu , Feng Liu , Raghavendra Ramachandra , Christoph Busch

Projection methods aim to reduce the dimensionality of the optimization instance, thereby improving the scalability of high-dimensional problems. Recently, Sakaue and Oki proposed a data-driven approach for linear programs (LPs), where the…

Optimization and Control · Mathematics 2025-11-18 Anh Tuan Nguyen , Viet Anh Nguyen

In this paper, a self-adaptive contractive (SAC) algorithm is proposed for enhanced dynamic phasor estimation in the diverse operating conditions of modern power systems. At a high-level, the method is composed of three stages: parameter…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Francisco Messina , Pablo Marchi , Leonardo Rey Vega , Cecilia Galarza

Pixel-wise regression is probably the most common problem in fine-grained computer vision tasks, such as estimating keypoint heatmaps and segmentation masks. These regression problems are very challenging particularly because they require,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Huajun Liu , Fuqiang Liu , Xinyi Fan , Dong Huang

Dynamic programming over tree decompositions is a common technique in parameterized algorithms. In this paper, we study whether this technique can also be applied to compute Pareto sets of multiobjective optimization problems. We first…

Data Structures and Algorithms · Computer Science 2025-09-09 Joshua Könen , Heiko Röglin , Tarek Stuck

Learner Performance-based Behavior using Simulated Annealing (LPBSA) is an improvement of the Learner Performance-based Behavior (LPB) algorithm. LPBSA, like LPB, has been proven to deal with single and complex problems. Simulated Annealing…

Neural and Evolutionary Computing · Computer Science 2025-01-30 Dana Rasul Hamad , Tarik A. Rashid

A two-stage batch estimation algorithm for solving a class of nonlinear, static parameter estimation problems that appear in aerospace engineering applications is proposed. It is shown how these problems can be recast into a form suitable…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Kerry Sun , Demoz Gebre-Egziabher

In this letter, a pinching antennas (PAs) assisted rate splitting multiple access (RSMA) system with multiple waveguides is investigated to maximize sum rate. A two-step algorithm is proposed to determine PA activation scheme and optimize…

Signal Processing · Electrical Eng. & Systems 2025-06-13 Peiyu Wang , Hong Wang , Rongfang Song