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Quantile regression provides a consistent approach to investigating the association between covariates and various aspects of the distribution of the response beyond the mean. When the regression covariates are measured with errors,…

Methodology · Statistics 2023-02-09 Roger S. Zoh , Annie Yu , Carmen Tekwe

Response functions linking regression predictors to properties of the response distribution are fundamental components in many statistical models. However, the choice of these functions is typically based on the domain of the modeled…

Methodology · Statistics 2025-02-04 Paul F. V. Wiemann , Thomas Kneib , Julien Hambuckers

The domain adaptation of language models, including large language models (LLMs), has become increasingly important as the use of such models continues to expand. This study demonstrates the effectiveness of Composition to Augment Language…

Computation and Language · Computer Science 2025-01-22 Kota Tanabe , Masanori Hirano , Kazuki Matoya , Kentaro Imajo , Hiroki Sakaji , Itsuki Noda

We introduce a Gaussian process model of functions which are additive. An additive function is one which decomposes into a sum of low-dimensional functions, each depending on only a subset of the input variables. Additive GPs generalize…

Machine Learning · Statistics 2011-12-20 David Duvenaud , Hannes Nickisch , Carl Edward Rasmussen

This paper develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile…

Methodology · Statistics 2020-12-22 Zhengwu Zhang , Xiao Wang , Linglong Kong , Hongtu Zhu

Bacteria are prolific at colonizing diverse surfaces under a widerange of environmental conditions, and exhibit fascinating examples of self-organization across scales. Though it has recently attracted considerable interest, the role of…

Soft Condensed Matter · Physics 2024-03-25 M. T. Khan , J. Cammann , A. Sengupta , E. Renzi , M. G. Mazza

Nutrient gradients and limitations play a pivotal role in the life of all microbes, both in their natural habitat as well as in artificial, microfluidic systems. Spatial concentration gradients of nutrients in densely packed cell…

We present a new procedure for enhanced variable selection for component-wise gradient boosting. Statistical boosting is a computational approach that emerged from machine learning, which allows to fit regression models in the presence of…

A nutrient-limited model for avascular cancer growth including cell proliferation, motility and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are…

Statistical Mechanics · Physics 2011-03-09 S. C. Ferreira Junior , M. L. Martins , M. J. Vilela

In aligning large language models (LLMs), reward models have played an important role, but are standardly trained as discriminative models and rely only on labeled human preference data. In this paper, we explore methods that train reward…

Computation and Language · Computer Science 2026-01-27 Chenglong Wang , Yang Gan , Yifu Huo , Yongyu Mu , Qiaozhi He , Murun Yang , Bei Li , Tong Xiao , Chunliang Zhang , Tongran Liu , Jingbo Zhu

We propose efficient computational methods to fit multivariate Gaussian additive models, where the mean vector and the covariance matrix are allowed to vary with covariates, in an empirical Bayes framework. To guarantee the…

Computation · Statistics 2025-04-07 Vincenzo Gioia , Matteo Fasiolo , Ruggero Bellio , Simon N. Wood

Image synthesis approaches, e.g., generative adversarial networks, have been popular as a form of data augmentation in medical image analysis tasks. It is primarily beneficial to overcome the shortage of publicly accessible data and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Shiyi Du , Xiaosong Wang , Yongyi Lu , Yuyin Zhou , Shaoting Zhang , Alan Yuille , Kang Li , Zongwei Zhou

The solution space of genome-scale models of cellular metabolism provides a map between physically viable flux configurations and cellular metabolic phenotypes described, at the most basic level, by the corresponding growth rates. By…

Molecular Networks · Quantitative Biology 2016-05-30 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

In this article we propose a boosting algorithm for regression with functional explanatory variables and scalar responses. The algorithm uses decision trees constructed with multiple projections as the "base-learners", which we call…

Methodology · Statistics 2023-04-07 Xiaomeng Ju , Matías Salibián-Barrera

Bacterial colonies can form a wide variety of shapes and structures based on ambient and internal conditions. To help understand the mechanisms that determine the structure of and the diversity within these colonies, various numerical…

Soft Condensed Matter · Physics 2024-12-24 Bryan Verhoef , Rutger Hermsen , Joost de Graaf

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

Methodology · Statistics 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij

Additive models form a widely popular class of regression models which represent the relation between covariates and response variables as the sum of low-dimensional transfer functions. Besides flexibility and accuracy, a key benefit of…

Machine Learning · Statistics 2015-05-20 Alhussein Fawzi , Mathieu Sinn , Pascal Frossard

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient…

Methodology · Statistics 2019-12-16 Colin Griesbach , Andreas Groll , Elisabeth Waldmann

Latent Gaussian models and boosting are widely used techniques in statistics and machine learning. Tree-boosting shows excellent prediction accuracy on many data sets, but potential drawbacks are that it assumes conditional independence of…

Machine Learning · Computer Science 2022-08-24 Fabio Sigrist
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