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Symbolic regression with genetic programming (GPSR) may suffer from overfitting and structural bloat, especially when noise is present. In this paper we evaluate description length (DL) and fractional Bayes factor (FBF) criteria as…

Neural and Evolutionary Computing · Computer Science 2026-05-22 Gabriel Kronberger , Fabricio Olivetti de Franca , Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Supervisory signals have the potential to make low-dimensional data representations, like those learned by mixture and topic models, more interpretable and useful. We propose a framework for training latent variable models that explicitly…

We propose a transfer learning method that utilizes data representations in a semiparametric regression model. Our aim is to perform statistical inference on the parameter of primary interest in the target model while accounting for…

Methodology · Statistics 2024-06-21 Baihua He , Huihang Liu , Xinyu Zhang , Jian Huang

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

Statistics Theory · Mathematics 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

In many modern machine learning applications, the outcome is expensive or time-consuming to collect while the predictor information is easy to obtain. Semi-supervised learning (SSL) aims at utilizing large amounts of `unlabeled' data along…

Methodology · Statistics 2017-11-16 Jessica Gronsbell , Tianxi Cai

The additive partially linear model (APLM) combines the flexibility of nonparametric regression with the parsimony of regression models, and has been widely used as a popular tool in multivariate nonparametric regression to alleviate the…

Methodology · Statistics 2019-03-19 Xinyi Li , Li Wang , Dan Nettleton

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. Several statistical examples and motivations are given. These procedures extend the empirical…

Statistics Theory · Mathematics 2008-11-24 Michel Broniatowski , Amor Keziou

Depression remains a pressing global mental health issue, driving considerable research into AI-driven detection approaches. While pre-trained models, particularly speech self-supervised models (SSL Models), have been applied to depression…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-11 Xiangyu Zhang , Beena Ahmed , Julien Epps

Theoretically understanding stochastic gradient descent (SGD) in overparameterized models has led to the development of several optimization algorithms that are widely used in practice today. Recent work by~\citet{zou2021benign} provides…

Machine Learning · Computer Science 2025-06-19 Alexandru Meterez , Depen Morwani , Costin-Andrei Oncescu , Jingfeng Wu , Cengiz Pehlevan , Sham Kakade

The concept of Label Distribution Learning (LDL) is a technique to stabilize classification and regression problems with ambiguous and/or imbalanced labels. A prototypical use-case of LDL is human age estimation based on profile images.…

Machine Learning · Computer Science 2022-09-07 Maurice Günder , Nico Piatkowski , Christian Bauckhage

Recently, high-dimensional heterogeneous data have attracted a lot of attention and discussion. Under heterogeneity, semiparametric regression is a popular choice to model data in statistics. In this paper, we take advantages of expectile…

Statistics Theory · Mathematics 2019-08-20 Jun Zhao , Guan'ao Yan , Yi Zhang

Linear Mixed Models (LMMs) are important tools in statistical genetics. When used for feature selection, they allow to find a sparse set of genetic traits that best predict a continuous phenotype of interest, while simultaneously correcting…

Random-effects models are central to meta-analysis, yet the between-study variance is often underestimated when the number of studies is small. In such settings, confidence intervals become unduly narrow and fail to attain the nominal…

Methodology · Statistics 2025-11-18 Keisuke Hanada , Tomoyuki Sugimoto

In genetic studies, not only can the number of predictors obtained from microarray measurements be extremely large, there can also be multiple response variables. Motivated by such a situation, we consider semiparametric dimension reduction…

Methodology · Statistics 2013-09-25 Heng Lian , Shujie Ma

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

We propose Path Signatures Logistic Regression (PSLR), a semi-parametric framework for classifying vector-valued functional data with scalar covariates. Classical functional logistic regression models rely on linear assumptions and fixed…

Machine Learning · Statistics 2025-07-10 Pengcheng Zeng , Siyuan Jiang

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

We address the component-based regularisation of a multivariate Generalized Linear Mixed Model (GLMM). A set of random responses Y is modelled by a GLMM, using a set X of explanatory variables, a set T of additional covariates, and random…

Methodology · Statistics 2019-08-22 Jocelyn Chauvet , Catherine Trottier , Xavier Bry , Frederic Mortier

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang