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In this paper we study convergence estimates for a multigrid algorithm with smoothers of successive subspace correction (SSC) type, applied to symmetric elliptic PDEs. First, we revisit a general convergence analysis on a class of multigrid…

Numerical Analysis · Mathematics 2018-05-09 Eugenio Aulisa , Giorgio Bornia , Sara Calandrini , Giacomo Capodaglio

We present an overlapping Schwarz decomposition algorithm for constrained quadratic programs (QPs). Schwarz algorithms have been traditionally used to solve linear algebra systems arising from partial differential equations, but we have…

Optimization and Control · Mathematics 2021-02-17 Sungho Shin , Mihai Anitescu , Victor M. Zavala

This paper introduces a trajectory planning algorithm for search and coverage missions with an Unmanned Aerial Vehicle (UAV) based on an uncertainty map that represents prior knowledge of the target region, modeled by a Gaussian Mixture…

Robotics · Computer Science 2025-03-28 Hugo Matias , Daniel Silvestre

To lower the complexity of network codes over packet line networks with arbitrary schedules, chunked codes (CC) and overlapped chunked codes (OCC) were proposed in earlier works. These codes have been previously analyzed for relatively…

Information Theory · Computer Science 2011-06-01 Anoosheh Heidarzadeh , Amir H. Banihashemi

DNA emerges as a promising medium for the exponential growth of digital data due to its density and durability. This study extends recent research by addressing the \emph{coverage depth problem} in practical scenarios, exploring optimal…

Information Theory · Computer Science 2024-02-01 Hadas Abraham , Rayn Gabrys , Eitan Yaakobi

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train…

Computational Physics · Physics 2019-02-05 Michele Ceriotti , Michael J. Willatt , Gábor Csányi

We propose a new algorithm to learn a one-hidden-layer convolutional neural network where both the convolutional weights and the outputs weights are parameters to be learned. Our algorithm works for a general class of (potentially…

Machine Learning · Computer Science 2018-06-05 Simon S. Du , Surbhi Goel

Multi-kernel learning has been well explored in the recent past and has exhibited promising outcomes for multi-class classification and regression tasks. In this paper, we present a multiple kernel learning approach for the One-class…

Machine Learning · Computer Science 2018-07-18 Chandan Gautam , Ramesh Balaji , K Sudharsan , Aruna Tiwari , Kapil Ahuja

We propose an algorithm for optimizing the parameters of single hidden layer neural networks. Specifically, we derive a blockwise difference-of-convex (DC) functions representation of the objective function. Based on the latter, we propose…

Machine Learning · Computer Science 2024-01-17 Daniel Tschernutter , Mathias Kraus , Stefan Feuerriegel

Overlapping Community Search (OCS) identifies nodes that interact with multiple communities based on a specified query. Existing community search approaches fall into two categories: algorithm-based models and Machine Learning-based (ML)…

Social and Information Networks · Computer Science 2025-01-10 Qing Sima , Jianke Yu , Xiaoyang Wang , Wenjie Zhang , Ying Zhang , Xuemin Lin

Kernel interpolation is a fundamental technique for approximating functions from scattered data, with a well-understood convergence theory when interpolating elements of a reproducing kernel Hilbert space. Beyond this classical setting,…

Numerical Analysis · Mathematics 2025-05-19 Toni Karvonen , Gabriele Santin , Tizian Wenzel

Depth completion is the task of generating a dense depth map given an image and a sparse depth map as inputs. It has important applications in various downstream tasks. In this paper, we present OGNI-DC, a novel framework for depth…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Yiming Zuo , Jia Deng

Training and inference in Gaussian processes (GPs) require solving linear systems with $n\times n$ kernel matrices. To address the prohibitive $\mathcal{O}(n^3)$ time complexity, recent work has employed fast iterative methods, like…

Machine Learning · Computer Science 2024-03-12 Kaiwen Wu , Jonathan Wenger , Haydn Jones , Geoff Pleiss , Jacob R. Gardner

We present an iterative overlap estimation technique to augment existing point cloud registration algorithms that can achieve high performance in difficult real-world situations where large pose displacement and non-overlapping geometry…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Ben Eckart , Kihwan Kim , Jan Kautz

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

Multi-sensor fusion significantly enhances the accuracy and robustness of 3D semantic occupancy prediction, which is crucial for autonomous driving and robotics. However, most existing approaches depend on high-resolution images and complex…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Zhen Yang , Yanpeng Dong , Jiayu Wang , Heng Wang , Lichao Ma , Zijian Cui , Qi Liu , Haoran Pei , Kexin Zhang , Chao Zhang

Autonomous driving perception faces significant challenges due to occlusions and incomplete scene data in the environment. To overcome these issues, the task of semantic occupancy prediction (SOP) is proposed, which aims to jointly infer…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Helin Cao , Sven Behnke

The paper describes an application of Aggregating Algorithm to the problem of regression. It generalizes earlier results concerned with plain linear regression to kernel techniques and presents an on-line algorithm which performs nearly as…

Machine Learning · Computer Science 2012-07-19 Alex Gammerman , Yuri Kalnishkan , Vladimir Vovk

Overlapped time domain multiplexing (OvTDM) is a novel technique for utilizing inter-symbol interference (ISI) to benefit a communication system. We implement the OvTDM technique based on turbo structure and associate a turbo product code…

Information Theory · Computer Science 2017-08-10 Hao Zheng , Mingjun Xing , Yutao Yue , Xue Li , Daoben Li , Chunlin Ji

Over-parameterized models like deep nets and random forests have become very popular in machine learning. However, the natural goals of continuity and differentiability, common in regression models, are now often ignored in modern…

Machine Learning · Computer Science 2023-10-16 Mingxuan Han , Varun Shankar , Jeff M Phillips , Chenglong Ye