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This paper investigates scaling laws for local SGD in LLM training, a distributed optimization algorithm that facilitates training on loosely connected devices. Through extensive experiments, we show that local SGD achieves competitive…

Computation and Language · Computer Science 2024-09-23 Qiaozhi He , Xiaomin Zhuang , Zhihua Wu

We propose a novel approach for designing kernels for support vector machines (SVMs) when the class label is linked to the observation through a latent state and the likelihood function of the observation given the state (the sensing model)…

Machine Learning · Computer Science 2014-03-14 Weicong Ding , Prakash Ishwar , Venkatesh Saligrama , W. Clem Karl

We prove a few representer theorems for a localised version of the regularised and multiview support vector machine learning problem introduced by H.Q. Minh, L. Bazzani, and V. Murino, Journal of Machine Learning Research, 17(2016) 1-72,…

Functional Analysis · Mathematics 2025-11-04 Aurelian Gheondea , Cankat Tilki

Kernel-based support vector machines (SVMs) are supervised machine learning algorithms for classification and regression problems. We introduce a method to train SVMs on a D-Wave 2000Q quantum annealer and study its performance in…

Machine Learning · Computer Science 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

This paper presents a kernel-based discriminative learning framework on probability measures. Rather than relying on large collections of vectorial training examples, our framework learns using a collection of probability distributions that…

Machine Learning · Statistics 2013-01-15 Krikamol Muandet , Kenji Fukumizu , Francesco Dinuzzo , Bernhard Schölkopf

Max-margin methods for binary classification such as the support vector machine (SVM) have been extended to the structured prediction setting under the name of max-margin Markov networks ($M^3N$), or more generally structural SVMs.…

Machine Learning · Computer Science 2020-07-29 Alex Nowak-Vila , Francis Bach , Alessandro Rudi

The classical statistical learning theory implies that fitting too many parameters leads to overfitting and poor performance. That modern deep neural networks generalize well despite a large number of parameters contradicts this finding and…

Machine Learning · Statistics 2022-10-18 Masaaki Imaizumi , Johannes Schmidt-Hieber

Transductive SVM (TSVM) is a well known semi-supervised large margin learning method for binary text classification. In this paper we extend this method to multi-class and hierarchical classification problems. We point out that the…

Machine Learning · Computer Science 2012-11-02 Sathiya Keerthi Selvaraj , Sundararajan Sellamanickam , Shirish Shevade

Latent Gaussian Models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and…

Methodology · Statistics 2025-01-28 Luisa Ferrari , Massimo Ventrucci

Category imbalance is one of the most popular and important issues in the domain of classification. Emotion classification model trained on imbalanced datasets easily leads to unreliable prediction. The traditional machine learning method…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Lu Jiang , Qi Wang , Yuhang Chang , Jianing Song , Haoyue Fu , Xiaochun Yang

Classifiers and rating scores are prone to implicitly codifying biases, which may be present in the training data, against protected classes (i.e., age, gender, or race). So it is important to understand how to design classifiers and scores…

Machine Learning · Computer Science 2017-10-17 Matt Olfat , Anil Aswani

The computational complexity of solving nonlinear support vector machine (SVM) is prohibitive on large-scale data. In particular, this issue becomes very sensitive when the data represents additional difficulties such as highly imbalanced…

Machine Learning · Computer Science 2019-04-09 E. Sadrfaridpour , T. Razzaghi , I. Safro

The standard margin-based structured prediction commonly uses a maximum loss over all possible structured outputs. The large-margin formulation including latent variables not only results in a non-convex formulation but also increases the…

Machine Learning · Computer Science 2019-06-25 Kevin Bello , Jean Honorio

We study the problem of learning local metrics for nearest neighbor classification. Most previous works on local metric learning learn a number of local unrelated metrics. While this "independence" approach delivers an increased flexibility…

Machine Learning · Computer Science 2012-09-17 Jun Wang , Adam Woznica , Alexandros Kalousis

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

For a variety of regularized optimization problems in machine learning, algorithms computing the entire solution path have been developed recently. Most of these methods are quadratic programs that are parameterized by a single parameter,…

Machine Learning · Computer Science 2012-10-31 Bernd Gärtner , Martin Jaggi , Clément Maria

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

Neural and Evolutionary Computing · Computer Science 2018-02-14 Dianhui Wang , Ming Li

Deep kernel learning combines the non-parametric flexibility of kernel methods with the inductive biases of deep learning architectures. We propose a novel deep kernel learning model and stochastic variational inference procedure which…

Machine Learning · Statistics 2016-11-03 Andrew Gordon Wilson , Zhiting Hu , Ruslan Salakhutdinov , Eric P. Xing

A scheme for locally adaptive bandwidth selection is proposed which sensitively shrinks the bandwidth of a kernel estimator at lowest density regions such as the support boundary which are unknown to the statistician. In case of a…

Statistics Theory · Mathematics 2016-01-25 Tim Patschkowski , Angelika Rohde

We consider distributed stochastic variational inequalities (VIs) on unbounded domains with the problem data that is heterogeneous (non-IID) and distributed across many devices. We make a very general assumption on the computational network…