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Forward regression is a crucial methodology for automatically identifying important predictors from a large pool of potential covariates. In contexts with moderate predictor correlation, forward selection techniques can achieve screening…

Methodology · Statistics 2024-08-23 Xuejun Jiang , Yue Ma , Haofeng Wang

While nowadays most gradient-based optimization methods focus on exploring the high-dimensional geometric features, the random error accumulated in a stochastic version of any algorithm implementation has not been stressed yet. In this…

Machine Learning · Computer Science 2020-08-14 Tong Yang , Long Sha , Pengyu Hong

Model-based component-wise gradient boosting is a popular tool for data-driven variable selection. In order to improve its prediction and selection qualities even further, several modifications of the original algorithm have been developed,…

Methodology · Statistics 2023-02-28 Sophie Potts , Elisabeth Bergherr , Constantin Reinke , Colin Griesbach

We present a new algorithm for boosting generalized additive models for location, scale and shape (GAMLSS) that allows to incorporate stability selection, an increasingly popular way to obtain stable sets of covariates while controlling the…

Computation · Statistics 2017-05-16 Janek Thomas , Andreas Mayr , Bernd Bischl , Matthias Schmid , Adam Smith , Benjamin Hofner

We consider the problem of estimating complex statistical latent variable models using variational Bayes methods. These methods are used when exact posterior inference is either infeasible or computationally expensive, and they approximate…

Methodology · Statistics 2025-02-28 David Gunawan , David Nott , Robert Kohn

The progressive hedging algorithm (PHA) is a cornerstone among algorithms for large-scale stochastic programming problems. However, its traditional implementation is hindered by some limitations, including the requirement to solve all…

Optimization and Control · Mathematics 2025-03-13 Di Zhang , Yihang Zhang , Suvrajeet Sen

We consider the task of enforcing individual fairness in gradient boosting. Gradient boosting is a popular method for machine learning from tabular data, which arise often in applications where algorithmic fairness is a concern. At a high…

Machine Learning · Computer Science 2021-04-01 Alexander Vargo , Fan Zhang , Mikhail Yurochkin , Yuekai Sun

Large language models can predict real-valued quantities from heterogeneous inputs such as text, code, and molecular strings, but most training objectives score each decoded floating-point number independently, improving point estimates…

Machine Learning · Computer Science 2026-05-21 Jungsoo Park , Hyungjoo Chae , Ethan Mendes , Jay DeYoung , Varsha Kishore , Wei Xu , Alan Ritter

Scaled sparse linear regression jointly estimates the regression coefficients and noise level in a linear model. It chooses an equilibrium with a sparse regression method by iteratively estimating the noise level via the mean residual…

Machine Learning · Statistics 2012-06-22 Tingni Sun , Cun-Hui Zhang

Generating calibrated and sharp neural network predictive distributions for regression problems is essential for optimal decision-making in many real-world applications. To address the miscalibration issue of neural networks, various…

Machine Learning · Computer Science 2024-03-19 Victor Dheur , Souhaib Ben Taieb

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

Machine Learning · Computer Science 2024-05-15 Ronan Keane

A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

Machine Learning · Computer Science 2022-09-23 Xin Cao

Stochastic nested optimization, including stochastic compositional, min-max and bilevel optimization, is gaining popularity in many machine learning applications. While the three problems share the nested structure, existing works often…

Machine Learning · Statistics 2021-06-28 Tianyi Chen , Yuejiao Sun , Wotao Yin

There is an increasing realization that algorithmic inductive biases are central in preventing overfitting; empirically, we often see a benign overfitting phenomenon in overparameterized settings for natural learning algorithms, such as…

Machine Learning · Computer Science 2021-10-14 Difan Zou , Jingfeng Wu , Vladimir Braverman , Quanquan Gu , Sham M. Kakade

The calibration and training of a neural network is a complex and time-consuming procedure that requires significant computational resources to achieve satisfactory results. Key obstacles are a large number of hyperparameters to select and…

Machine Learning · Computer Science 2023-09-07 Raffaele Giuseppe Cestari , Gabriele Maroni , Loris Cannelli , Dario Piga , Simone Formentin

The economic and banking importance of the small and medium enterprise (SME) sector is well recognized in contemporary society. Business credit loans are very important for the operation of SMEs, and the revenue is a key indicator of credit…

Machine Learning · Computer Science 2020-05-05 Zebang Zhang , Kui Zhao , Kai Huang , Quanhui Jia , Yanming Fang , Quan Yu

In big data analysis, a simple task such as linear regression can become very challenging as the variable dimension $p$ grows. As a result, variable screening is inevitable in many scientific studies. In recent years, randomized algorithms…

Methodology · Statistics 2019-02-13 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Yun Huang

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

Current Instance Transfer Learning (ITL) methodologies use domain adaptation and sub-space transformation to achieve successful transfer learning. However, these methodologies, in their processes, sometimes overfit on the target dataset or…

Machine Learning · Computer Science 2022-04-27 Shrey Gupta , Jianzhao Bi , Yang Liu , Avani Wildani

In many real-world applications, optimization problems evolve continuously over time and are often subject to stochastic noise. We consider a stochastic time-varying optimization problem in which the objective function $f(x;t)$ changes…

Optimization and Control · Mathematics 2025-12-18 Tomoya Kamijima , Naoki Marumo , Akiko Takeda