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Cross-validation is a common method for estimating the predictive performance of machine learning models. In a data-scarce regime, where one typically wishes to maximize the number of instances used for training the model, an approach…

Methodology · Statistics 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

This study conducts a benchmarking study, comparing 23 different statistical and machine learning methods in a credit scoring application. In order to do so, the models' performance is evaluated over four different data sets in combination…

Econometrics · Economics 2019-07-31 Anna Stelzer

Splitting methods constitute a widely used class of numerical integrators for ordinary and partial differential equations, particularly well suited to problems that can be decomposed into simpler subproblems. High-order splitting schemes…

Numerical Analysis · Mathematics 2026-04-02 Fernando Casas , Ander Murua

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson

Machine learning algorithms aim at minimizing the number of false decisions and increasing the accuracy of predictions. However, the high predictive power of advanced algorithms comes at the costs of transparency. State-of-the-art methods,…

Machine Learning · Computer Science 2019-08-30 Klaus Broelemann , Gjergji Kasneci

Many machine learning algorithms are based on the assumption that training examples are drawn independently. However, this assumption does not hold anymore when learning from a networked sample because two or more training examples may…

Artificial Intelligence · Computer Science 2017-06-06 Yuyi Wang , Jan Ramon , Zheng-Chu Guo

A growing body of research has demonstrated the inability of NLP models to generalize compositionally and has tried to alleviate it through specialized architectures, training schemes, and data augmentation, among other approaches. In this…

Computation and Language · Computer Science 2022-11-03 Shivanshu Gupta , Sameer Singh , Matt Gardner

Statistical NLP systems are frequently evaluated and compared on the basis of their performances on a single split of training and test data. Results obtained using a single split are, however, subject to sampling noise. In this paper we…

Computation and Language · Computer Science 2007-05-23 Yuval Krymolowski

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

Machine Learning · Computer Science 2025-08-04 Liuyun Xu , Seymour M. J. Spence

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

Generalization beyond the training distribution is a core challenge in machine learning. The common practice of mixing and shuffling examples when training neural networks may not be optimal in this regard. We show that partitioning the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Damien Teney , Ehsan Abbasnejad , Anton van den Hengel

We propose an approach for fitting linear regression models that splits the set of covariates into groups. The optimal split of the variables into groups and the regularized estimation of the regression coefficients are performed by…

Methodology · Statistics 2019-12-13 Anthony Christidis , Ruben Zamar , Laks V. S. Lakshmanan , Ezequiel Smucler

We derive the ideal train/test split for the ridge regression to high accuracy in the limit that the number of training rows m becomes large. The split must depend on the ridge tuning parameter, alpha, but we find that the dependence is…

Machine Learning · Statistics 2025-09-08 Alexander Dubbs

Monte Carlo methods, Variational Inference, and their combinations play a pivotal role in sampling from intractable probability distributions. However, current studies lack a unified evaluation framework, relying on disparate performance…

Machine Learning · Computer Science 2024-06-12 Denis Blessing , Xiaogang Jia , Johannes Esslinger , Francisco Vargas , Gerhard Neumann

Distributed frameworks are widely used to handle massive data, where sample size $n$ is very large, and data are often stored in $k$ different machines. For a random vector $X\in \mathbb{R}^p$ with expectation $\mu$, testing the mean vector…

Methodology · Statistics 2021-10-07 Bin Du , Junlong Zhao

We propose split-brain autoencoders, a straightforward modification of the traditional autoencoder architecture, for unsupervised representation learning. The method adds a split to the network, resulting in two disjoint sub-networks. Each…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Richard Zhang , Phillip Isola , Alexei A. Efros

The vast majority of theoretical results in machine learning and statistics assume that the available training data is a reasonably reliable reflection of the phenomena to be learned or estimated. Similarly, the majority of machine learning…

Machine Learning · Computer Science 2017-06-13 Moses Charikar , Jacob Steinhardt , Gregory Valiant

Many machine learning applications require operating on a spatially distributed dataset. Despite technological advances, privacy considerations and communication constraints may prevent gathering the entire dataset in a central unit. In…

Machine Learning · Statistics 2024-01-30 Alexandros E. Tzikas , Licio Romao , Mert Pilanci , Alessandro Abate , Mykel J. Kochenderfer

We present a new approach to assessing the robustness of neural networks based on estimating the proportion of inputs for which a property is violated. Specifically, we estimate the probability of the event that the property is violated…

Machine Learning · Statistics 2019-02-25 Stefan Webb , Tom Rainforth , Yee Whye Teh , M. Pawan Kumar

Language models achieve impressive performance on a variety of knowledge, language, and reasoning tasks due to the scale and diversity of pretraining data available. The standard training recipe is a two-stage paradigm: pretraining first on…

Computation and Language · Computer Science 2026-03-20 Skyler Seto , Pierre Ablin , Anastasiia Filippova , Jiayuan Ye , Louis Bethune , Angelos Katharopoulos , David Grangier
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