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Large collections of matrices arise throughout modern machine learning, signal processing, and scientific computing, where they are commonly compressed by concatenation followed by truncated singular value decomposition (SVD). This strategy…

数值分析 · 数学 2026-01-21 Maksym Shamrai

Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

计算机视觉与模式识别 · 计算机科学 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

Pruning neural networks, which involves removing a fraction of their weights, can often maintain high accuracy while significantly reducing model complexity, at least up to a certain limit. We present a neural network pruning technique that…

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

A modified LAB algorithm is introduced in this paper. It builds upon the original LAB algorithm (Reddy et al. 2023), which is a socio-inspired algorithm that models competitive and learning behaviours within a group, establishing…

机器学习 · 计算机科学 2023-10-06 Ruturaj Reddy , Utkarsh Gupta , Ishaan Kale , Apoorva Shastri , Anand J Kulkarni

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

图像与视频处理 · 电气工程与系统科学 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

We develop randomized (block) coordinate descent (CD) methods for linearly constrained convex optimization. Unlike most CD methods, we do not assume the constraints to be separable, but let them be coupled linearly. To our knowledge, ours…

最优化与控制 · 数学 2015-06-11 Sashank Reddi , Ahmed Hefny , Carlton Downey , Avinava Dubey , Suvrit Sra

In this paper, we solve a semi-supervised regression problem. Due to the lack of knowledge about the data structure and the presence of random noise, the considered data model is uncertain. We propose a method which combines graph Laplacian…

机器学习 · 统计学 2020-12-02 Vladimir Berikov , Alexander Litvinenko

Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints is an NP-hard challenge, making global optimization…

机器学习 · 计算机科学 2025-10-28 Pedro Chumpitaz-Flores , My Duong , Cristobal Heredia , Kaixun Hua

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

统计计算 · 统计学 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

When adapting Simultaneous Mapping and Localization (SLAM) to real-world applications, such as autonomous vehicles, drones, and augmented reality devices, its memory footprint and computing cost are the two main factors limiting the…

机器人学 · 计算机科学 2022-11-04 Yeonsoo Park , Soohyun Bae

When solving linear stochastic differential equations numerically, usually a high order spatial discretisation is used. Balanced truncation (BT) and singular perturbation approximation (SPA) are well-known projection techniques in the…

数值分析 · 数学 2016-11-18 Martin Redmann , Melina A. Freitag

With the growing popularity of neural rendering, there has been an increasing number of neural implicit multi-view reconstruction methods. While many models have been enhanced in terms of positional encoding, sampling, rendering, and other…

计算机视觉与模式识别 · 计算机科学 2023-05-15 Weikun Zhang , Jianke Zhu

Point-to-multipoint communications are expected to play a pivotal role in next-generation networks. This paper refers to a cellular system transmitting layered multicast services to a multicast group of users. Reliability of communications…

信息论 · 计算机科学 2016-11-17 Andrea Tassi , Ioannis Chatzigeorgiou , Daniel E. Lucani

Many problems of low-level computer vision and image processing, such as denoising, deconvolution, tomographic reconstruction or super-resolution, can be addressed by maximizing the posterior distribution of a sparse linear model (SLM). We…

机器学习 · 统计学 2010-08-16 Matthias W. Seeger , Hannes Nickisch

A number of optimal decision problems with uncertainty can be formulated into a stochastic optimal control framework. The Least-Squares Monte Carlo (LSMC) algorithm is a popular numerical method to approach solutions of such stochastic…

计算金融 · 定量金融 2019-01-23 Zhiyi Shen , Chengguo Weng

Various control schemes rely on a solution of a convex optimization problem involving a particular robust quadratic constraint, which can be reformulated as a linear matrix inequality using the well-known $\mathcal{S}$-lemma. However, the…

最优化与控制 · 数学 2020-12-10 Goran Banjac , Jianzhe Zhen , Dick den Hertog , John Lygeros

This article aims to explain the Nested Benders algorithm for the solution of large-scale stochastic programming problems in a way that is intelligible to someone coming to it for the first time. In doing so it gives an explanation of…

最优化与控制 · 数学 2013-12-13 James Murphy

We tackle the problem of mosaicing bundle adjustment (i.e., simultaneous refinement of camera orientations and scene map) for a purely rotating event camera. We formulate the problem as a regularized non-linear least squares optimization.…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Shuang Guo , Guillermo Gallego