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In nature, the behaviors of many complex systems can be described by parsimonious math equations. Automatically distilling these equations from limited data is cast as a symbolic regression process which hitherto remains a grand challenge.…

Machine Learning · Computer Science 2023-05-25 Yilong Xu , Yang Liu , Hao Sun

Financial scenario simulation is essential for risk management and portfolio optimization, yet it remains challenging especially in high-dimensional and small data settings common in finance. We propose a diffusion factor model that…

Statistical Finance · Quantitative Finance 2026-01-13 Minshuo Chen , Renyuan Xu , Yumin Xu , Ruixun Zhang

Multi-fidelity modelling arises in many situations in computational science and engineering world. It enables accurate inference even when only a small set of accurate data is available. Those data often come from a high-fidelity model,…

Machine Learning · Statistics 2022-04-12 Jiahao Zhang , Shiqi Zhang , Guang Lin

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

The BayesMortalityPlus package provides a framework for modelling and predicting mortality data. The package includes tools for the construction of life tables based on Heligman-Pollard laws, and also on dynamic linear smoothers.…

Constructing robust simulators is essential for asking "what if?" questions and guiding policy in critical domains like healthcare and logistics. However, existing methods often struggle, either failing to generalize beyond historical data…

Machine Learning · Computer Science 2025-06-12 Samuel Holt , Max Ruiz Luyten , Antonin Berthon , Mihaela van der Schaar

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Reparameterization (RP) and likelihood ratio (LR) gradient estimators are used throughout machine and reinforcement learning; however, they are usually explained as simple mathematical tricks without providing any insight into their nature.…

Machine Learning · Computer Science 2019-10-16 Paavo Parmas , Masashi Sugiyama

We present an implementation of model-based online reinforcement learning (RL) for continuous domains with deterministic transitions that is specifically designed to achieve low sample complexity. To achieve low sample complexity, since the…

Artificial Intelligence · Computer Science 2012-02-01 Tobias Jung , Peter Stone

This paper proposes a desparsified GMM estimator for estimating high-dimensional regression models allowing for, but not requiring, many more endogenous regressors than observations. We provide finite sample upper bounds on the estimation…

Statistics Theory · Mathematics 2019-09-11 Mehmet Caner , Anders Bredahl Kock

The generalized linear model (GLM) plays a key role in regression analyses. In high-dimensional data, the sparse GLM has been used but it is not robust against outliers. Recently, the robust methods have been proposed for the specific…

Machine Learning · Statistics 2026-05-15 Takayuki Kawashima , Hironori Fujisawa

Rank regression offers robustness to outliers and heavy-tailed response distributions, invariance to monotonic transformations, and improved efficiency under non-Gaussian errors, making it a versatile tool for analyzing complex data. This…

Methodology · Statistics 2026-05-25 Jiyuan Tu , Suqi Wu , Yichen Zhang , Wen-Xin Zhou

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

Projection predictive inference is a decision theoretic Bayesian approach that decouples model estimation from decision making. Given a reference model previously built including all variables present in the data, projection predictive…

Methodology · Statistics 2020-10-15 Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

The aim of the plsRglm package is to deal with complete and incomplete datasets through several new techniques or, at least, some which were not yet implemented in R. Indeed, not only does it make available the extension of the PLS…

Computation · Statistics 2018-10-03 F. Bertrand , M. Maumy-Bertrand

The scalability of Generalized Linear Models (GLMs) for large-scale, high-dimensional data often forces a trade-off between computational feasibility and statistical accuracy, particularly for inference on pre-specified parameters. While…

Methodology · Statistics 2025-12-09 Bo Fu , Dandan Jiang

In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

Statistics Theory · Mathematics 2025-08-05 Xin Bing , Marten Wegkamp

Contemporary empirical applications frequently require flexible regression models for complex response types and large tabular or non-tabular, including image or text, data. Classical regression models either break down under the…

Computation · Statistics 2024-05-29 Lucas Kook , Philipp FM Baumann , Oliver Dürr , Beate Sick , David Rügamer

In order to compute the log-likelihood for high dimensional spatial Gaussian models, it is necessary to compute the determinant of the large, sparse, symmetric positive definite precision matrix, Q. Traditional methods for evaluating the…

Computation · Statistics 2011-05-30 Erlend Aune , Daniel P. Simpson

A novel sequential inferential method for Bayesian dynamic generalised linear models is presented, addressing both univariate and multivariate $k$-parametric exponential families. It efficiently handles diverse responses, including…

Methodology · Statistics 2025-01-15 Mariane Branco Alves , Helio S. Migon , Silvaneo V. Santos , Raíra Marotta