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Feature subsampling is a core component of random forests and other ensemble methods. While recent theory suggests that this randomization acts solely as a variance reduction mechanism analogous to ridge regularization, these results…

Machine Learning · Statistics 2026-01-06 Xin Chen , Jason M. Klusowski , Yan Shuo Tan , Chang Yu

In recent years the importance of finding a meaningful pattern from huge datasets has become more challenging. Data miners try to adopt innovative methods to face this problem by applying feature selection methods. In this paper we propose…

Machine Learning · Computer Science 2014-03-11 Mehdi Naseriparsa , Amir-masoud Bidgoli , Touraj Varaee

In industrial scenarios, data augmentation is an effective approach to improve model performance. However, its benefits are not unidirectionally beneficial. There is no theoretical research or established estimation for the optimal sample…

Machine Learning · Computer Science 2026-02-19 Mingchun Sun , Rongqiang Zhao , Zhennan Huang , Songyu Ding , Jie Liu

Reinforcement learning provides a mathematical framework for learning-based control, whose success largely depends on the amount of data it can utilize. The efficient utilization of historical trajectories obtained from previous policies is…

Machine Learning · Computer Science 2025-03-06 Yifan Lin , Yuhao Wang , Enlu Zhou

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Importance sampling is a technique that is commonly used to speed up Monte Carlo simulation of rare events. However, little is known regarding the design of efficient importance sampling algorithms in the context of queueing networks. The…

Probability · Mathematics 2009-09-29 Paul Dupuis , Ali Devin Sezer , Hui Wang

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Numerical Analysis · Mathematics 2017-11-15 Matthias Morzfeld , Marcus S. Day , Ray W. Grout , George Shu Heng Pau , Stefan A. Finsterle , John B. Bell

Our work aimed at experimentally assessing the benefits of model ensembling within the context of neural methods for passage reranking. Starting from relatively standard neural models, we use a previous technique named Fast Geometric…

Information Retrieval · Computer Science 2021-01-22 Luís Borges , Bruno Martins , Jamie Callan

There are several measures for fairness in ranking, based on different underlying assumptions and perspectives. PL optimization with the REINFORCE algorithm can be used for optimizing black-box objective functions over permutations. In…

Machine Learning · Computer Science 2022-05-02 Ali Vardasbi , Fatemeh Sarvi , Maarten de Rijke

Existing Bayesian Optimization (BO) methods typically balance exploration and exploitation to optimize costly objective functions. However, these methods often suffer from a significant one-step bias, which may lead to convergence towards…

Machine Learning · Computer Science 2025-10-23 Ruiyao Miao , Junren Xiao , Shiya Tsang , Hui Xiong , Yingnian Wu

De novo molecule generation can suffer from data inefficiency; requiring large amounts of training data or many sampled data points to conduct objective optimization. The latter is a particular disadvantage when combining deep generative…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Morgan Thomas , Noel M. O'Boyle , Andreas Bender , Chris De Graaf

Importance sampling and independent Metropolis-Hastings (IMH) are among the fundamental building blocks of Monte Carlo methods. Both require a proposal distribution that globally approximates the target distribution. The Radon-Nikodym…

Statistics Theory · Mathematics 2025-06-17 George Deligiannidis , Pierre E. Jacob , El Mahdi Khribch , Guanyang Wang

Sample re-weighting strategies provide a promising mechanism to deal with imperfect training data in machine learning, such as noisily labeled or class-imbalanced data. One such strategy involves formulating a bi-level optimization problem…

Machine Learning · Computer Science 2023-02-10 Yinjun Wu , Adam Stein , Jacob Gardner , Mayur Naik

This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for approximation of the solution field. The method inherits the main…

Numerical Analysis · Mathematics 2017-07-11 Elena Atroshchenko , Gang Xu , Satyendra Tomar , Stephane P. A. Bordas

The quality of numerical reconstructions for unknown parameters in inverse problems depends fundamentally on the selection of experimental data. To ensure a robust reconstruction, it is crucial to select data that are sensitive to the…

Numerical Analysis · Mathematics 2026-04-14 Kathrin Hellmuth , Christian Klingenberg , Qin Li

The performance of the Monte Carlo sampling methods relies on the crucial choice of a proposal density. The notion of optimality is fundamental to design suitable adaptive procedures of the proposal density within Monte Carlo schemes. This…

Computation · Statistics 2026-02-24 Fernando Llorente , Luca Martino

An essential problem in statistics and machine learning is the estimation of expectations involving PDFs with intractable normalizing constants. The self-normalized importance sampling (SNIS) estimator, which normalizes the IS weights, has…

Computation · Statistics 2024-07-01 Nicola Branchini , Víctor Elvira

Importance sampling has been successfully used to accelerate stochastic optimization in many convex problems. However, the lack of an efficient way to calculate the importance still hinders its application to Deep Learning. In this paper,…

Machine Learning · Computer Science 2017-09-14 Angelos Katharopoulos , François Fleuret

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

Optimization and Control · Mathematics 2025-10-02 Hassaan Khalid , Bradley Sturt

Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen