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We investigate training and using Gaussian kernel SVMs by approximating the kernel with an explicit finite- dimensional polynomial feature representation based on the Taylor expansion of the exponential. Although not as efficient as the…

人工智能 · 计算机科学 2011-09-22 Andrew Cotter , Joseph Keshet , Nathan Srebro

Federated learning is a machine learning paradigm in which multiple devices collaboratively train a model under the supervision of a central server while ensuring data privacy. However, its performance is often hindered by redundant,…

计算机视觉与模式识别 · 计算机科学 2026-04-30 Emre Ardıç , Yakup Genç

Stochastic gradient descent (SGD) is a fundamental optimization algorithm widely used in modern machine learning. In this paper, we propose Factor-Augmented SGD (FSGD), a new optimization method that leverages latent factor representations…

机器学习 · 统计学 2026-05-20 Shubo Li , Yuefeng Han , Xiufan Yu

The incremental singular value decomposition (SVD) updates a truncated SVD as new columns arrive, replacing a single large SVD with a sequence of small ones. In floating-point arithmetic, each update multiplies the running singular basis by…

数值分析 · 数学 2026-05-05 Yangwen Zhang

We propose a method for support vector machine classification using indefinite kernels. Instead of directly minimizing or stabilizing a nonconvex loss function, our algorithm simultaneously computes support vectors and a proxy kernel matrix…

机器学习 · 计算机科学 2009-08-04 Ronny Luss , Alexandre d'Aspremont

Feature selection is important for modeling high-dimensional data, where the number of variables can be much larger than the sample size. In this paper, we develop a support detection and root finding procedure to learn the high dimensional…

机器学习 · 统计学 2020-01-17 Jian Huang , Yuling Jiao , Lican Kang , Jin Liu , Yanyan Liu , Xiliang Lu

Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

机器学习 · 计算机科学 2024-08-01 Di Zhang , Suvrajeet Sen

Continual learning in neural networks aims to learn new tasks without forgetting old tasks. Sequential function-space variational inference (SFSVI) uses a Gaussian variational distribution to approximate the distribution of the outputs of…

机器学习 · 计算机科学 2025-05-28 Menghao Waiyan William Zhu , Pengcheng Hao , Ercan Engin Kuruoğlu

The stochastic gradient descent (SGD) algorithm has been widely used in statistical estimation for large-scale data due to its computational and memory efficiency. While most existing works focus on the convergence of the objective function…

机器学习 · 统计学 2023-11-02 Xi Chen , Jason D. Lee , Xin T. Tong , Yichen Zhang

Support Vector Machine (SVM) is a robust machine learning algorithm with broad applications in classification, regression, and outlier detection. SVM requires tuning the regularization parameter (RP) which controls the model capacity and…

机器学习 · 统计学 2023-05-18 Mahdi Shamsi , Soosan Beheshti

Given multiple time series data, how can we efficiently find latent patterns in an arbitrary time range? Singular value decomposition (SVD) is a crucial tool to discover hidden factors in multiple time series data, and has been used in many…

数值分析 · 计算机科学 2018-12-21 Jun-Gi Jang , Dongjin Choi , Jinhong Jung , U Kang

Multivariate data analysis techniques have the potential to improve physics analyses in many ways. The common classification problem of signal/background discrimination is one example. The Support Vector Machine learning algorithm is a…

高能物理 - 实验 · 物理学 2009-11-07 A. Vaiciulis

Stein Variational Gradient Descent (SVGD) is an algorithm for sampling from a target density which is known up to a multiplicative constant. Although SVGD is a popular algorithm in practice, its theoretical study is limited to a few recent…

机器学习 · 计算机科学 2022-06-20 Adil Salim , Lukang Sun , Peter Richtárik

A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes. The data points on the margin of this separating hyperplane are…

机器学习 · 计算机科学 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

Stein Variational Gradient Descent (SVGD) is a popular variational inference algorithm which simulates an interacting particle system to approximately sample from a target distribution, with impressive empirical performance across various…

机器学习 · 统计学 2023-10-09 Aniket Das , Dheeraj Nagaraj

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

机器学习 · 计算机科学 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

Bayesian computation plays an important role in modern machine learning and statistics to reason about uncertainty. A key computational challenge in Bayesian inference is to develop efficient techniques to approximate, or draw samples from…

数值分析 · 数学 2021-09-01 Liang Yan , Tao Zhou

In supervised learning with distributional inputs in the two-stage sampling setup, relevant to applications like learning-based medical screening or causal learning, the inputs (which are probability distributions) are not accessible in the…

机器学习 · 计算机科学 2026-01-22 Christian Fiedler

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

人工智能 · 计算机科学 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

We derive a sound positive semi-definite approximation of the Hessian of deep models for which Hessian-vector products are easily computable. This enables us to provide an adaptive SGD learning rate strategy based on the minimization of the…

机器学习 · 计算机科学 2023-05-29 Dario Balboni , Davide Bacciu