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We consider the problem of minimizing the sum of two convex functions: one is the average of a large number of smooth component functions, and the other is a general convex function that admits a simple proximal mapping. We assume the whole…

Optimization and Control · Mathematics 2014-03-20 Lin Xiao , Tong Zhang

The Forward-Forward (FF) algorithm presents a compelling, bio-inspired alternative to backpropagation. However, while efficient in training, it has a computationally prohibitive inference process that requires a separate forward pass for…

Machine Learning · Computer Science 2026-05-04 Shalini Sarode , Brian Moser , Joachim Folz , Federico Raue , Tobias Nauen , Stanislav Frolov , Andreas Dengel

Among various supervised deep metric learning methods proxy-based approaches have achieved high retrieval accuracies. Proxies, which are class-representative points in an embedding space, receive updates based on proxy-sample similarities…

Computer Vision and Pattern Recognition · Computer Science 2022-11-21 Aoyu Li , Ikuro Sato , Kohta Ishikawa , Rei Kawakami , Rio Yokota

Performative prediction is a framework that captures distribution shifts that occur during the training of machine learning models due to their deployment. As the trained model is used, data generation causes the model to evolve, leading to…

Machine Learning · Computer Science 2025-11-10 Xue Zheng , Tian Xie , Xuwei Tan , Aylin Yener , Xueru Zhang

Projection-based reduced-order models (PROMs) have demonstrated accuracy, reliability, and robustness in approximating high-dimensional, differential equation-based computational models across many applications. For this reason, it has been…

Numerical Analysis · Mathematics 2025-05-05 Calista Biondic , Siva Nadarajah

A novel method for robust estimation, called Graph-Cut RANSAC, GC-RANSAC in short, is introduced. To separate inliers and outliers, it runs the graph-cut algorithm in the local optimization (LO) step which is applied when a so-far-the-best…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Daniel Barath , Jiri Matas

Progressive compression allows images to start loading as low-resolution versions, becoming clearer as more data is received. This increases user experience when, for example, network connections are slow. Today, most approaches for image…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Ali Hojjat , Janek Haberer , Olaf Landsiedel

Due to their simplicity and excellent performance, parallel asynchronous variants of stochastic gradient descent have become popular methods to solve a wide range of large-scale optimization problems on multi-core architectures. Yet,…

Optimization and Control · Mathematics 2017-11-07 Fabian Pedregosa , Rémi Leblond , Simon Lacoste-Julien

Autoregressive models (ARMs) currently hold state-of-the-art performance in likelihood-based modeling of image and audio data. Generally, neural network based ARMs are designed to allow fast inference, but sampling from these models is…

Machine Learning · Computer Science 2020-07-09 Auke Wiggers , Emiel Hoogeboom

Composite minimization involves a collection of smooth functions which are aggregated in a nonsmooth manner. In the convex setting, we design an algorithm by linearizing each smooth component in accordance with its main curvature. The…

Optimization and Control · Mathematics 2019-03-26 Jérôme Bolte , Zheng Chen , Edouard Pauwels

Progressive Neural Network Learning is a class of algorithms that incrementally construct the network's topology and optimize its parameters based on the training data. While this approach exempts the users from the manual task of designing…

Machine Learning · Computer Science 2020-05-26 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Density functional theory calculations use a significant fraction of current supercomputing time. The resources required scale with the problem size, internal workings of the code and the number of iterations to convergence, the latter…

Computational Physics · Physics 2025-09-22 Laurence Marks

Generative models based on flow matching have emerged as a powerful paradigm for inverse problems, offering straighter trajectories and faster sampling compared to diffusion models. However, existing approaches often necessitate…

Machine Learning · Computer Science 2026-05-13 Zehua Jiang , Fenghao Zhu , Xinquan Wang , Chongwen Huang , Zhaoyang Zhang

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

In the paper, we develop a composite version of Mirror Prox algorithm for solving convex-concave saddle point problems and monotone variational inequalities of special structure, allowing to cover saddle point/variational analogies of what…

Optimization and Control · Mathematics 2014-05-23 Niao He , Anatoli Juditsky , Arkadi Nemirovski

Prevailing image representation methods, including explicit representations such as raster images and Gaussian primitives, as well as implicit representations such as latent images, either suffer from representation redundancy that leads to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ye Chen , Yupeng Zhu , Xiongzhen Zhang , Zhewen Wan , Yingzhe Li , Wenjun Zhang , Bingbing Ni

Determining the most appropriate features for machine learning predictive models is challenging regarding performance and feature acquisition costs. In particular, global feature choice is limited given that some features will only benefit…

Machine Learning · Computer Science 2026-03-17 Gabriel Bernardino , Anders Jonsson , Patrick Clarysse , Nicolas Duchateau

We introduce prox-convex for minimizing $F(x)=g(x)+h(C(x))+s(R(x))$, where $g$ and $h$ are convex, $C$ and $s$ are smooth, and each component of $R$ is convex (possibly nonsmooth). Here $g$ captures general convex objectives and indicator…

Optimization and Control · Mathematics 2025-12-24 Samet Uzun , Dayou Luo , Behçet Açıkmeşe , Aleksandr Y. Aravkin

Real-time synthesis of physically plausible human interactions remains a critical challenge for immersive VR/AR systems and humanoid robotics. While existing methods demonstrate progress in kinematic motion generation, they often fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Kaiyang Ji , Ye Shi , Zichen Jin , Kangyi Chen , Lan Xu , Yuexin Ma , Jingyi Yu , Jingya Wang

We propose a novel first-order method for non-convex optimization of the form $\max_{\bm{w}\in\mathbb{R}^d}\mathbb{E}_{\bm{x}\sim\mathcal{D}}[f_{\bm{w}}(\bm{x})]$, termed Progressive Power Homotopy (Prog-PowerHP). The method applies…

Optimization and Control · Mathematics 2026-01-23 Chen Xu