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In multivariate spline regression, the number and locations of knots influence the performance and interpretability significantly. However, due to non-differentiability and varying dimensions, there is no desirable frequentist method to…

Methodology · Statistics 2024-05-24 Junhui He , Ying Yang , Jian Kang

The problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

Applications · Statistics 2018-05-15 Longhai Li , Weixin Yao

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

Machine Learning · Computer Science 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Purpose: In this paper, we establish a baseline for handwritten stenography recognition, using the novel LION dataset, and investigate the impact of including selected aspects of stenographic theory into the recognition process. We make the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Raphaela Heil , Malin Nauwerck

In this work, we explore massive pre-training on synthetic word images for enhancing the performance on four benchmark downstream handwriting analysis tasks. To this end, we build a large synthetic dataset of word images rendered in several…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Vittorio Pippi , Silvia Cascianelli , Lorenzo Baraldi , Rita Cucchiara

Seemingly unrelated regression is a natural framework for regressing multiple correlated responses on multiple predictors. The model is very flexible, with multiple linear regression and covariance selection models being special cases.…

Methodology · Statistics 2019-07-23 Yunfan Li , Jyotishka Datta , Bruce A. Craig , Anindya Bhadra

We propose to use L\'evy {\alpha}-stable distributions for constructing priors for Bayesian inverse problems. The construction is based on Markov fields with stable-distributed increments. Special cases include the Cauchy and Gaussian…

Computation · Statistics 2023-06-26 Jarkko Suuronen , Tomás Soto , Neil K. Chada , Lassi Roininen

We develop a Bayesian approach for selecting the model which is the most supported by the data within a class of marginal models for categorical variables formulated through equality and/or inequality constraints on generalised logits…

Statistics Theory · Mathematics 2012-02-21 Francesco Bartolucci , Luisa Scaccia , Alessio Farcomeni

New methods for generating synthetic handwriting images for biometric applications have recently been developed. The temporal evolution of handwriting from childhood to adulthood is usually left unexplored in these works. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Cristina Carmona-Duarte , Miguel A. Ferrer , Antonio Parziale , Angelo Marcelli

Optimization is widely used in statistics, and often efficiently delivers point estimates on useful spaces involving structural constraints or combinatorial structure. To quantify uncertainty, Gibbs posterior exponentiates the negative loss…

Methodology · Statistics 2025-07-23 Cheng Zeng , Eleni Dilma , Jason Xu , Leo L Duan

Covariance estimation becomes challenging in the regime where the number p of variables outstrips the number n of samples available to construct the estimate. One way to circumvent this problem is to assume that the covariance matrix is…

Probability · Mathematics 2012-06-14 Richard Y. Chen , Alex Gittens , Joel A. Tropp

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

Methodology · Statistics 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

Platform trials evaluate multiple experimental treatments against a common control group (and/or against each other), which often reduces the trial duration and sample size. Bayesian platform designs offer several practical advantages,…

Methodology · Statistics 2025-07-18 Luke Hagar , Lara Maleyeff , Shirin Golchi , Dick Menzies

While the use of statistical physics methods to analyze large corpora has been useful to unveil many patterns in texts, no comprehensive investigation has been performed investigating the properties of statistical measurements across…

Physics and Society · Physics 2013-07-04 Diego R. Amancio , Eduardo G. Altmann , Diego Rybski , Osvaldo N. Oliveira , Luciano da F. Costa

We introduce a unified approach to testing a variety of rather general null hypotheses that can be formulated in terms of covariances matrices. These include as special cases, for example, testing for equal variances, equal traces, or for…

Statistics Theory · Mathematics 2020-12-23 Paavo Sattler , Arne C. Bathke , Markus Pauly

Temporal prediction is a still difficult task due to the chaotic behavior, non-Markovian characteristics, and non-stationary noise of temporal signals. Handwriting prediction is also challenging because of uncertainty arising from…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Masaki Yamagata , Hideaki Hayashi , Seiichi Uchida

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

Machine Learning · Statistics 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

We develop a feature allocation model for inference on genetic tumor variation using next-generation sequencing data. Specifically, we record single nucleotide variants (SNVs) based on short reads mapped to human reference genome and…

Applications · Statistics 2015-09-15 Juhee Lee , Peter Müller , Kamalakar Gulukota , Yuan Ji

Bayesian hypothesis testing via Bayes factors offers a principled alternative to classical p-value methods in meta-analysis, particularly suited to its cumulative and sequential nature. Unlike commonly reported p-values for standard null…

Methodology · Statistics 2026-04-22 Joris Mulder , Robbie C. M. van Aert

Interpretation of different writing styles, unconstrained cursiveness and relationship between different primitive parts is an essential and challenging task for recognition of handwritten characters. As feature representation is…

Computer Vision and Pattern Recognition · Computer Science 2020-07-08 Mohammad Idrees Bhat , B. Sharada
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