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Principal component regression (PCR) is a useful method for regularizing linear regression. Although conceptually simple, straightforward implementations of PCR have high computational costs and so are inappropriate when learning with large…

Numerical Analysis · Mathematics 2019-03-08 Liron Mor-Yosef , Haim Avron

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

Optimization and Control · Mathematics 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

Subspace clustering is a powerful unsupervised approach for hyperspectral image (HSI) analysis, but its high computational and memory costs limit scalability. Superpixel segmentation can improve efficiency by reducing the number of data…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Aleksandra Pizurica

In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often intractable. However, for any multiplicative factor greater than one, an approximation set can be…

Optimization and Control · Mathematics 2026-04-30 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

With the widespread use of shared-nothing clusters of servers, there has been a proliferation of distributed object stores that offer high availability, reliability and enhanced performance for MapReduce-style workloads. However, relational…

Databases · Computer Science 2013-12-03 Lukasz Golab , Marios Hadjieleftheriou , Howard Karloff , Barna Saha

Approximate nearest neighbour (ANN) search has become a central task in modern data-intensive applications, particularly when operating on large, heterogeneous, or high-dimensional datasets. However, many existing ANN methods struggle in…

Information Retrieval · Computer Science 2026-01-15 Elena Garcia-Morato , Maria Jesus Algar , Cesar Alfaro , Felipe Ortega , Javier Gomez , Javier M. Moguerza

Ensemble calculations are essential for systems with uncertain data but require substantial increase in computational resources. This increase severely limits ensemble size. To reach beyond current limits, we present a first-order…

Numerical Analysis · Mathematics 2017-12-19 Joseph A. Fiordilino , Michael McLaughlin

Adaptive meshing includes local refinement as well as coarsening of meshes. Typically, coarsening algorithms are based on an explicit refinement history. In this work, we deal with local coarsening algorithms that build on the refinement…

Numerical Analysis · Mathematics 2020-11-06 Stefan A. Funken , Anja Schmidt

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

Machine Learning · Computer Science 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

Mesh plays an indispensable role in dense real-time reconstruction essential in robotics. Efforts have been made to maintain flexible data structures for 3D data fusion, yet an efficient incremental framework specifically designed for…

Robotics · Computer Science 2018-03-13 Wei Dong , Jieqi Shi , Weijie Tang , Xin Wang , Hongbin Zha

Self-supervised masked image modeling (MIM) methods have shown promising performances on analyzing natural images. However, directly applying such methods to medical image segmentation tasks still cannot achieve satisfactory results. The…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Xiangtao Wang , Ruizhi Wang , Thomas Lukasiewicz , Zhenghua Xu

Composition optimization has drawn a lot of attention in a wide variety of machine learning domains from risk management to reinforcement learning. Existing methods solving the composition optimization problem often work in a sequential and…

Optimization and Control · Mathematics 2018-11-16 Shuheng Shen , Linli Xu , Jingchang Liu , Junliang Guo , Qing Ling

Modern large-scale scientific applications consist of thousands to millions of individual tasks. These tasks involve not only computation but also communication with one another. Typically, the communication pattern between tasks is sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-03 Christian Schulz , Henning Woydt

Randomized neural networks for representation learning have consistently achieved prominent results in texture recognition tasks, effectively combining the advantages of both traditional techniques and learning-based approaches. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Ricardo T. Fares , Lucas C. Ribas

We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

Machine Learning · Computer Science 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith

The volume estimation of brain regions from MRI data is a key problem in many clinical applications, where the acquisition of data at high spatial resolution is desirable. While parallel MRI and constrained image reconstruction algorithms…

Image and Video Processing · Electrical Eng. & Systems 2021-05-20 Aniket Pramanik , Xiaodong Wu , Mathews Jacob

AI-enabled precision medicine promises a transformational improvement in healthcare outcomes by enabling data-driven personalized diagnosis, prognosis, and treatment. However, the well-known "curse of dimensionality" and the clustered…

Machine Learning · Computer Science 2023-05-19 Amanda M. Buch , Conor Liston , Logan Grosenick

High-order quadrilateral meshes offer superior accuracy and computational efficiency in numerical simulations. However, existing methods struggle to simultaneously preserve boundary/interface features, ensure high quality, and achieve…

Graphics · Computer Science 2026-03-25 Yongjia Weng , Lufeng Liu , Zhonggui Chen , Xuan Zhou , Juan Cao

We consider the problem of category-level 6D pose estimation from a single RGB image. Our approach represents an object category as a cuboid mesh and learns a generative model of the neural feature activations at each mesh vertex to perform…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Wufei Ma , Angtian Wang , Alan Yuille , Adam Kortylewski

In Robotics, especially in this era of autonomous driving, mapping is one key ability of a robot to be able to navigate through an environment, localize on it and analyze its traversability. To allow for real-time execution on constrained…

Robotics · Computer Science 2018-01-17 Enrico Piazza , Andrea Romanoni , Matteo Matteucci
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