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One of the most important problems in system identification and statistics is how to estimate the unknown parameters of a given model. Optimization methods and specialized procedures, such as Empirical Minimization (EM) can be used in case…

统计方法学 · 统计学 2024-02-09 Braghadeesh Lakshminarayanan , Cristian R. Rojas

Gradient Boosting Machine (GBM) introduced by Friedman is a powerful supervised learning algorithm that is very widely used in practice---it routinely features as a leading algorithm in machine learning competitions such as Kaggle and the…

机器学习 · 计算机科学 2020-09-17 Haihao Lu , Rahul Mazumder

This work explores the use of gradient boosting in the context of classification. Four popular implementations, including original GBM algorithm and selected state-of-the-art gradient boosting frameworks (i.e. XGBoost, LightGBM and…

机器学习 · 计算机科学 2023-05-29 Piotr Florek , Adam Zagdański

In this paper, we analyze the asymptotic properties of the Two-Stage (TS) estimator -- a simulation-based parameter estimation method that constructs estimators offline from synthetic data. While TS offers significant computational…

系统与控制 · 电气工程与系统科学 2025-08-26 Braghadeesh Lakshminarayanan , Cristian R. Rojas

Stochastic Gradient Boosting (SGB) is a widely used approach to regularization of boosting models based on decision trees. It was shown that, in many cases, random sampling at each iteration can lead to better generalization performance of…

机器学习 · 统计学 2019-10-30 Bulat Ibragimov , Gleb Gusev

This paper considers the asymptotic theory of a semiparametric M-estimator that is generally applicable to models that satisfy a monotonicity condition in one or several parametric indexes. We call the estimator two-stage maximum score…

计量经济学 · 经济学 2022-09-16 Wayne Yuan Gao , Sheng Xu , Kan Xu

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

机器学习 · 计算机科学 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

统计方法学 · 统计学 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Gradient Boosting Machines (GBM) are hugely popular for solving tabular data problems. However, practitioners are not only interested in point predictions, but also in probabilistic predictions in order to quantify the uncertainty of the…

机器学习 · 计算机科学 2021-06-08 Olivier Sprangers , Sebastian Schelter , Maarten de Rijke

A two-stage batch estimation algorithm for solving a class of nonlinear, static parameter estimation problems that appear in aerospace engineering applications is proposed. It is shown how these problems can be recast into a form suitable…

信号处理 · 电气工程与系统科学 2020-02-18 Kerry Sun , Demoz Gebre-Egziabher

We propose a novel M-estimate conjugate gradient (CG) algorithm, termed Tukey's biweight M-estimate CG (TbMCG), for system identification in impulsive noise environments. In particular, the TbMCG algorithm can achieve a faster convergence…

机器学习 · 计算机科学 2022-03-22 Lu Lu , Yi Yu , Rodrigo C. de Lamare , Xiaomin Yang

In this paper, we introduce novel Twin Parametric Margin Support Vector Machine (TPMSVM) models designed to address multiclass classification tasks under feature uncertainty. To handle data perturbations, we construct bounded-by-norm…

机器学习 · 计算机科学 2026-04-29 Renato De Leone , Francesca Maggioni , Andrea Spinelli

To achieve high data rates defined in 5G, the use of millimeter-waves and massive-MIMO are indispensable. To benefit from these technologies, an accurate estimation of the channel parameters is crucial. We propose a novel two-stage…

信号处理 · 电气工程与系统科学 2020-07-15 Fazal-E-Asim , Felix Antreich , Charles C. Cavalcante , André L. F. de Almeida , Josef A. Nossek

Gradient Boosting Machine has proven to be one successful function approximator and has been widely used in a variety of areas. However, since the training procedure of each base learner has to take the sequential order, it is infeasible to…

机器学习 · 计算机科学 2020-06-09 Ji Feng , Yi-Xuan Xu , Yuan Jiang , Zhi-Hua Zhou

Gradient boosting is a state-of-the-art prediction technique that sequentially produces a model in the form of linear combinations of simple predictors---typically decision trees---by solving an infinite-dimensional convex optimization…

统计理论 · 数学 2017-07-18 Gérard Biau , Benoît Cadre

We propose mS2GD: a method incorporating a mini-batching scheme for improving the theoretical complexity and practical performance of semi-stochastic gradient descent (S2GD). We consider the problem of minimizing a strongly convex function…

机器学习 · 计算机科学 2016-04-20 Jakub Konečný , Jie Liu , Peter Richtárik , Martin Takáč

The time of arrival (TOA)-based localization techniques, which need to estimate the delay of the line-of-sight (LoS) path, have been widely employed in location-aware networks. To achieve a high-accuracy delay estimation, a number of…

信号处理 · 电气工程与系统科学 2022-06-22 Yubo Wan , An Liu , Qiyu Hu , Mianyi Zhang , Yunlong Cai

We propose a mini-batching scheme for improving the theoretical complexity and practical performance of semi-stochastic gradient descent applied to the problem of minimizing a strongly convex composite function represented as the sum of an…

机器学习 · 计算机科学 2014-10-20 Jakub Konečný , Jie Liu , Peter Richtárik , Martin Takáč

Component-wise gradient boosting algorithms are popular for their intrinsic variable selection and implicit regularization, which can be especially beneficial for very flexible model classes. When estimating generalized additive models for…

统计方法学 · 统计学 2024-04-15 Alexandra Daub , Andreas Mayr , Boyao Zhang , Elisabeth Bergherr

This paper shows that time series forecasting Transformer (TSFT) suffers from severe over-fitting problem caused by improper initialization method of unknown decoder inputs, esp. when handling non-stationary time series. Based on this…

机器学习 · 计算机科学 2023-07-18 Li Shen , Yuning Wei , Yangzhu Wang
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