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The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

Methodology · Statistics 2026-02-11 Max Welz

High-dimensional matrix and tensor time series often exhibit local dependency, where each entry interacts mainly with a small neighborhood. Accounting for local interactions in a prediction model can greatly reduce the dimensionality of the…

Methodology · Statistics 2025-11-13 Jingyang Li , Yang Chen

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Machine learning (ML) is capable of accurate Load Forecasting from complete data. However, there are many uncertainties that affect data collection, leading to sparsity. This article proposed a model called Adaptive Ensemble Learning with…

Machine Learning · Computer Science 2025-08-26 Junying Yang , Gang Lu , Xiaoqing Yan , Peng Xia , Di Wu

Vector autoregression (VAR) is a fundamental tool for modeling multivariate time series. However, as the number of component series is increased, the VAR model becomes overparameterized. Several authors have addressed this issue by…

Methodology · Statistics 2020-09-09 William B. Nicholson , Ines Wilms , Jacob Bien , David S. Matteson

For the last two decades, high-dimensional data and methods have proliferated throughout the literature. Yet, the classical technique of linear regression has not lost its usefulness in applications. In fact, many high-dimensional…

Statistics Theory · Mathematics 2021-05-18 Arun Kumar Kuchibhotla , Lawrence D. Brown , Andreas Buja , Edward I. George , Linda Zhao

Relational logistic regression (RLR) is a representation of conditional probability in terms of weighted formulae for modelling multi-relational data. In this paper, we develop a learning algorithm for RLR models. Learning an RLR model from…

Artificial Intelligence · Computer Science 2016-06-29 Bahare Fatemi , Seyed Mehran Kazemi , David Poole

Time series of individual subjects have become a common data type in psychological research. These data allow one to estimate models of within-subject dynamics, and thereby avoid the notorious problem of making within-subjects inferences…

Applications · Statistics 2020-03-16 Jonas M B Haslbeck , Laura F Bringmann , Lourens J Waldorp

We consider the problem of learning models for forecasting multiple time-series systems together with discovering the leading indicators that serve as good predictors for the system. We model the systems by linear vector autoregressive…

Machine Learning · Computer Science 2016-11-03 Magda Gregorova , Alexandros Kalousis , Stéphane Marchand-Maillet

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

Statistics Theory · Mathematics 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

Coherence is a crucial aspect of evaluating text readability and can be assessed through two primary factors when evaluating an essay in a scoring scenario. The first factor is logical coherence, characterized by the appropriate use of…

Computation and Language · Computer Science 2023-08-08 Chen Zheng , Huan Zhang , Yan Zhao , Yuxuan Lai

An appeal for symmetry is made to build established notions of specific representation and specific nonlinearity of measurement (often called model error) into a canonical linear regression model. Additive components are derived from the…

Applications · Statistics 2021-10-19 Richard E. Danielson

We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

Statistics Theory · Mathematics 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

This paper studies the error metric selection for long-term memory learning in sequence modelling. We examine the bias towards short-term memory in commonly used errors, including mean absolute/squared error. Our findings show that all…

Machine Learning · Computer Science 2023-07-24 Shida Wang , Zhanglu Yan

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

Concerning bivariate least squares linear regression, the classical results obtained for extreme structural models in earlier attempts are reviewed using a new formalism in terms of deviation (matrix) traces which, for homoscedastic data,…

Instrumentation and Methods for Astrophysics · Physics 2017-11-17 R. Caimmi

Despite their simplicity, linear models perform well at time series forecasting, even when pitted against deeper and more expensive models. A number of variations to the linear model have been proposed, often including some form of feature…

Machine Learning · Computer Science 2024-03-26 William Toner , Luke Darlow

Model-Based Reinforcement Learning (RL) is widely believed to have the potential to improve sample efficiency by allowing an agent to synthesize large amounts of imagined experience. Experience Replay (ER) can be considered a simple kind of…

Machine Learning · Computer Science 2023-07-11 Kenny Young , Aditya Ramesh , Louis Kirsch , Jürgen Schmidhuber

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

Methodology · Statistics 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

Most existing Time Series Foundation Models (TSFMs) use channel independent modeling and focus on capturing and generalizing temporal dependencies, while neglecting the correlations among channels or overlooking the different aspects of…

Machine Learning · Computer Science 2026-03-24 Hanyin Cheng , Xingjian Wu , Yang Shu , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo