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Kernel Ridge Regression (KRR) is a simple yet powerful technique for non-parametric regression whose computation amounts to solving a linear system. This system is usually dense and highly ill-conditioned. In addition, the dimensions of the…

数值分析 · 计算机科学 2017-07-18 Haim Avron , Kenneth L. Clarkson , David P. Woodruff

A key challenge in the development of materials for the next generation of solar cells, sensors and transistors is linking macroscopic device performance to underlying microscopic properties. For years, fabrication of devices has been…

This paper introduces a new kernel-based classifier by viewing kernel matrices as generalized graphs and leveraging recent progress in graph embedding techniques. The proposed method facilitates fast and scalable kernel matrix embedding,…

机器学习 · 计算机科学 2024-11-12 Cencheng Shen

Machine learning methods usually depend on internal parameters -- so called hyperparameters -- that need to be optimized for best performance. Such optimization poses a burden on machine learning practitioners, requiring expert knowledge,…

化学物理 · 物理学 2020-04-03 Annika Stuke , Patrick Rinke , Milica Todorović

This paper presents a novel multitask multiple kernel learning framework that efficiently learns the kernel weights leveraging the relationship across multiple tasks. The idea is to automatically infer this task relationship in the…

机器学习 · 统计学 2017-03-06 Keerthiram Murugesan , Jaime Carbonell

The number of parameters in large-scale language models based on transformers is gradually increasing, and the scale of computing clusters is also growing. The technology of quickly mobilizing large amounts of computing resources for…

This article presents an automatic approach to quickly derive a good solution for hardware resource partition and task granularity for task-based parallel applications on heterogeneous many-core architectures. Our approach employs a…

分布式、并行与集群计算 · 计算机科学 2020-03-10 Peng Zhang , Jianbin Fang , Canqun Yang , Chun Huang , Tao Tang , Zheng Wang

Traditionally, kernel methods rely on the representer theorem which states that the solution to a learning problem is obtained as a linear combination of the data mapped into the reproducing kernel Hilbert space (RKHS). While elegant from…

机器学习 · 计算机科学 2021-08-30 Riikka Huusari , Sahely Bhadra , Cécile Capponi , Hachem Kadri , Juho Rousu

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

机器学习 · 计算机科学 2026-03-03 Srinath Dama , Prasanth B. Nair

We consider multi-task learning, which simultaneously learns related prediction tasks, to improve generalization performance. We factorize a coefficient matrix as the product of two matrices based on a low-rank assumption. These matrices…

机器学习 · 统计学 2018-08-14 Jun-Yong Jeong , Chi-Hyuck Jun

This paper proposes a novel learning method for multi-task applications. Multi-task neural networks can learn to transfer knowledge across different tasks by using parameter sharing. However, sharing parameters between unrelated tasks can…

机器学习 · 计算机科学 2020-07-21 Krzysztof Maziarz , Efi Kokiopoulou , Andrea Gesmundo , Luciano Sbaiz , Gabor Bartok , Jesse Berent

A linearly implicit conservative difference scheme is applied to discretize the attractive coupled nonlinear Schr\"odinger equations with fractional Laplacian. Complex symmetric linear systems can be obtained, and the system matrices are…

数值分析 · 数学 2023-10-19 Yan Cheng , Xi Yang

Even though it is well known that for most relevant computational problems different algorithms may perform better on different classes of problem instances, most researchers still focus on determining a single best algorithmic…

Prior to the parallel solution of a large linear system, it is required to perform a partitioning of its equations/unknowns. Standard partitioning algorithms are designed using the considerations of the efficiency of the parallel…

数值分析 · 数学 2013-11-19 Eugene Vecharynski , Yousef Saad , Masha Sosonkina

Gaussian processes (GPs) stand as crucial tools in machine learning and signal processing, with their effectiveness hinging on kernel design and hyper-parameter optimization. This paper presents a novel GP linear multiple kernel (LMK) and a…

机器学习 · 计算机科学 2025-01-17 Richard Cornelius Suwandi , Zhidi Lin , Feng Yin , Zhiguo Wang , Sergios Theodoridis

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

系统与控制 · 计算机科学 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

Splitting methods are widely used for solving initial value problems (IVPs) due to their ability to simplify complicated evolutions into more manageable subproblems which can be solved efficiently and accurately. Traditionally, these…

数值分析 · 数学 2024-11-15 L. M. Kreusser , H. E. Lockyer , E. H. Müller , P. Singh

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

机器学习 · 计算机科学 2019-10-22 Yinan Yu , Tomas McKelvey

In this paper we propose a general framework to integrate supervised and unsupervised examples with background knowledge expressed by a collection of first-order logic clauses into kernel machines. In particular, we consider a multi-task…

机器学习 · 计算机科学 2024-02-06 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

GPU kernels have come to the forefront of computing due to their utility in varied fields, from high-performance computing to machine learning. A typical GPU compute kernel is invoked millions, if not billions of times in a typical…

机器学习 · 计算机科学 2024-04-18 Khawir Mahmood , Jehandad Khan , Hammad Afzal