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Standard regression techniques, while powerful, are often constrained by predefined, differentiable loss functions such as mean squared error. These functions may not fully capture the desired behavior of a system, especially when dealing…

机器学习 · 计算机科学 2025-08-04 Yongchao Huang

The bridge regression estimator generalizes both ridge regression and LASSO estimators. Since it minimizes the sum of squared residuals with a $L_{\gamma }$ penalty, this estimator is typically not robust against outliers in the data. There…

统计方法学 · 统计学 2015-11-26 Olcay Arslan

Challenging research in various fields has driven a wide range of methodological advances in variable selection for regression models with high-dimensional predictors. In comparison, selection of nonlinear functions in models with additive…

统计方法学 · 统计学 2013-03-05 Fabian Scheipl , Thomas Kneib , Ludwig Fahrmeir

This paper proposes a novel '$\nu$-support vector quantile regression' ($\nu$-SVQR) model for the quantile estimation. It can facilitate the automatic control over accuracy by creating a suitable asymmetric $\epsilon$-insensitive zone…

机器学习 · 计算机科学 2019-10-22 Pritam Anand , Reshma Rastogi , Suresh Chandra

The support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has a serious drawback, that is sensitivity to outliers in training samples. The penalty on…

机器学习 · 统计学 2014-09-04 Takafumi Kanamori , Shuhei Fujiwara , Akiko Takeda

Additive models belong to the class of structured nonparametric regression models that do not suffer from the curse of dimensionality. Finding the additive components that are nonzero when the true model is assumed to be sparse is an…

统计方法学 · 统计学 2025-05-08 Suneel Babu Chatla , Abhijit Mandal

Usually standard algorithms employ a loss where each error is the mere absolute difference between the true value and the prediction, in case of a regression task. In the present, we introduce several error weighting schemes that are a…

机器学习 · 计算机科学 2023-02-24 Filippo Portera

We consider a renewal-reward process with multivariate rewards. Such a process is constructed from an i.i.d.\ sequence of time periods, to each of which there is associated a multivariate reward vector. The rewards in each time period may…

概率论 · 数学 2014-08-08 Brendan Patch , Yoni Nazarathy , Thomas Taimre

We consider the problem of variable selection in regression models. In particular, we are interested in selecting explanatory covariates linked with the response variable and we want to determine which covariates are relevant, that is which…

统计方法学 · 统计学 2019-07-09 Anne Gégout-Petit , Aurélie Gueudin-Muller , Clémence Karmann

Modern multivariate machine learning and statistical methodologies estimate parameters of interest while leveraging prior knowledge of the association between outcome variables. The methods that do allow for estimation of relationships do…

统计方法学 · 统计学 2021-06-10 Ben Sherwood , Bradley S. Price

We propose a new regression algorithm that learns from a set of input-output pairs. Our algorithm is designed for populations where the relation between the input variables and the output variable exhibits a heterogeneous behavior across…

机器学习 · 计算机科学 2026-02-17 Ş. İlker Birbil , Sinan Yıldırım , Samet Çopur , M. Hakan Akyüz

Scaling reinforcement learning (RL) to recommender systems (RS) is promising since maximizing the expected cumulative rewards for RL agents meets the objective of RS, i.e., improving customers' long-term satisfaction. A key approach to this…

机器学习 · 计算机科学 2022-09-27 Chengqian Gao , Ke Xu , Kuangqi Zhou , Lanqing Li , Xueqian Wang , Bo Yuan , Peilin Zhao

Reward design remains a significant bottleneck in applying reinforcement learning (RL) to real-world problems. A popular alternative is reward learning, where reward functions are inferred from human feedback rather than manually specified.…

机器学习 · 计算机科学 2026-01-16 Chaitanya Kharyal , Calarina Muslimani , Matthew E. Taylor

This paper investigates the efficient solution of penalized quadratic regressions in high-dimensional settings. A novel and efficient algorithm for ridge-penalized quadratic regression is proposed, leveraging the matrix structures of the…

统计计算 · 统计学 2023-12-05 Cheng Wang , Haozhe Chen , Binyan Jiang

We introduce a new weakly-convex penalty function for signals with a group behavior. The penalty promotes signals with a few number of active groups, where within each group, only a few high magnitude coefficients are active. We derive the…

数值分析 · 计算机科学 2017-08-02 İlker Bayram , Savaşkan Bulek

Beta regression is commonly employed when the outcome variable is a proportion. Since its conception, the approach has been widely used in applications spanning various scientific fields. A series of extensions have been proposed over time,…

统计方法学 · 统计学 2025-07-29 Niloofar Ramezani , Martin Slawski

In this paper, we propose a new semiparametric regression estimator by using a hybrid technique of a parametric approach and a nonparametric penalized spline method. The overall shape of the true regression function is captured by the…

统计理论 · 数学 2012-02-17 Takuma Yoshida , Kanta Naito

This research focuses on enhancing reinforcement learning (RL) algorithms by integrating penalty functions to guide agents in avoiding unwanted actions while optimizing rewards. The goal is to improve the learning process by ensuring that…

机器学习 · 计算机科学 2025-04-07 Sai Gana Sandeep Pula , Sathish A. P. Kumar , Sumit Jha , Arvind Ramanathan

Growing advancements in reinforcement learning has led to advancements in control theory. Reinforcement learning has effectively solved the inverted pendulum problem and more recently the double inverted pendulum problem. In reinforcement…

机器学习 · 计算机科学 2021-05-26 Amartya Mukherjee

One of the challenges with functional data is incorporating spatial structure, or local correlation, into the analysis. This structure is inherent in the output from an increasing number of biomedical technologies, and a functional linear…

应用统计 · 统计学 2011-11-07 Timothy W. Randolph , Jaroslaw Harezlak , Ziding Feng