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Gaussian Processes are widely used for regression tasks. A known limitation in the application of Gaussian Processes to regression tasks is that the computation of the solution requires performing a matrix inversion. The solution also…

机器学习 · 计算机科学 2017-08-22 Sourish Das , Sasanka Roy , Rajiv Sambasivan

We develop a family of reformulations of an arbitrary consistent linear system into a stochastic problem. The reformulations are governed by two user-defined parameters: a positive definite matrix defining a norm, and an arbitrary discrete…

数值分析 · 数学 2020-01-27 Peter Richtárik , Martin Takáč

This work focuses on the setting of dynamic regret in the context of online learning with full information. In particular, we analyze regret bounds with respect to the temporal variability of the loss functions. By assuming that the…

机器学习 · 计算机科学 2021-02-16 Nicolò Campolongo , Francesco Orabona

We present a framework for analyzing the exact dynamics of a class of online learning algorithms in the high-dimensional scaling limit. Our results are applied to two concrete examples: online regularized linear regression and principal…

机器学习 · 计算机科学 2017-12-13 Chuang Wang , Jonathan Mattingly , Yue M. Lu

We present a novel method for convex unconstrained optimization that, without any modifications, ensures: (i) accelerated convergence rate for smooth objectives, (ii) standard convergence rate in the general (non-smooth) setting, and (iii)…

机器学习 · 计算机科学 2018-09-11 Kfir Y. Levy , Alp Yurtsever , Volkan Cevher

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

Structured additive distributional copula regression allows to model the joint distribution of multivariate outcomes by relating all distribution parameters to covariates. Estimation via statistical boosting enables accounting for…

We are interested in probabilistic prediction in online settings in which data does not follow a probability distribution. Our work seeks to achieve two goals: (1) producing valid probabilities that accurately reflect model confidence; and…

机器学习 · 计算机科学 2024-06-06 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

A Bayesian framework is attractive in the context of prediction, but a fast recursive update of the predictive distribution has apparently been out of reach, in part because Monte Carlo methods are generally used to compute the predictive.…

统计方法学 · 统计学 2018-12-11 P. Richard Hahn , Ryan Martin , Stephen G. Walker

Modern applications in sensitive domains such as biometrics and medicine frequently require the use of non-decomposable loss functions such as precision@k, F-measure etc. Compared to point loss functions such as hinge-loss, these offer much…

机器学习 · 计算机科学 2014-10-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

In this work, multiplicative stochasticity is applied to the learning rate of stochastic optimization algorithms, giving rise to stochastic learning-rate schemes. In-expectation theoretical convergence results of Stochastic Gradient Descent…

最优化与控制 · 数学 2022-03-22 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

Belief updating in Bayes nets, a well known computationally hard problem, has recently been approximated by several deterministic algorithms, and by various randomized approximation algorithms. Deterministic algorithms usually provide…

人工智能 · 计算机科学 2013-02-18 Eugene Santos , Solomon Eyal Shimony , Edward Williams

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

We uncover a fairly general principle in online learning: If regret can be (approximately) expressed as a function of certain "sufficient statistics" for the data sequence, then there exists a special Burkholder function that 1) can be used…

机器学习 · 计算机科学 2018-03-22 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

Recent advances in the literature have demonstrated that standard supervised learning algorithms are ill-suited for problems with endogenous explanatory variables. To correct for the endogeneity bias, many variants of nonparameteric…

计量经济学 · 经济学 2021-01-18 Edvard Bakhitov , Amandeep Singh

Boosting is a method for learning a single accurate predictor by linearly combining a set of less accurate weak learners. Recently, structured learning has found many applications in computer vision. Inspired by structured support vector…

机器学习 · 计算机科学 2020-03-10 Chunhua Shen , Guosheng Lin , Anton van den Hengel

We propose an approach to reduce the bias of ridge regression and regularization kernel network. When applied to a single data set the new algorithms have comparable learning performance with the original ones. When applied to incremental…

机器学习 · 统计学 2016-03-17 Qiang Wu

Variational Inference makes a trade-off between the capacity of the variational family and the tractability of finding an approximate posterior distribution. Instead, Boosting Variational Inference allows practitioners to obtain…

机器学习 · 计算机科学 2021-05-20 Gideon Dresdner , Saurav Shekhar , Fabian Pedregosa , Francesco Locatello , Gunnar Rätsch

It is already reported in the literature that the performance of a machine learning algorithm is greatly impacted by performing proper Hyper-Parameter optimization. One of the ways to perform Hyper-Parameter optimization is by manual search…

机器学习 · 计算机科学 2020-05-26 Sayan Putatunda , Kiran Rama

Multicalibration gradient boosting has recently emerged as a scalable method that empirically produces approximately multicalibrated predictors and has been deployed at web scale. Despite this empirical success, its convergence properties…

机器学习 · 计算机科学 2026-02-09 Daniel Haimovich , Fridolin Linder , Lorenzo Perini , Niek Tax , Milan Vojnovic