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We consider forecasting a single time series when there is a large number of predictors and a possible nonlinear effect. The dimensionality was first reduced via a high-dimensional (approximate) factor model implemented by the principal…

Statistics Theory · Mathematics 2015-12-29 Jianqing Fan , Lingzhou Xue , Jiawei Yao

Click-through rate (CTR) prediction plays a critical role in recommender systems and online advertising. The data used in these applications are multi-field categorical data, where each feature belongs to one field. Field information is…

Information Retrieval · Computer Science 2021-03-22 Yang Sun , Junwei Pan , Alex Zhang , Aaron Flores

This study presents an analytical approach to sector rotation, leveraging both factor models and fundamental metrics. We initiate with a systematic classification of sectors, followed by an empirical investigation into their returns.…

Portfolio Management · Quantitative Finance 2024-01-02 Runjia Yang , Beining Shi

This paper extends quantile factor analysis to a probabilistic variant that incorporates regularization and computationally efficient variational approximations. We establish through synthetic and real data experiments that the proposed…

Econometrics · Economics 2024-08-16 Dimitris Korobilis , Maximilian Schröder

Functional sliced inverse regression (FSIR) is one of the most popular algorithms for functional sufficient dimension reduction (FSDR). However, the choice of slice scheme in FSIR is critical but challenging. In this paper, we propose a new…

Statistics Theory · Mathematics 2023-10-18 Songtao Tian , Zixiong Yu , Rui Chen

Forecasts of product demand are essential for short- and long-term optimization of logistics and production. Thus, the most accurate prediction possible is desirable. In order to optimally train predictive models, the deviation of the…

Machine Learning · Computer Science 2020-04-23 Dominik Martin , Philipp Spitzer , Niklas Kühl

In financial trading, factor models are widely used to price assets and capture excess returns from mispricing. Recently, we have witnessed the rise of variational autoencoder-based latent factor models, which learn latent factors…

Machine Learning · Computer Science 2026-01-15 Yilei Zhao , Wentao Zhang , Tingran Yang , Yong Jiang , Fei Huang , Wei Yang Bryan Lim

As a prominent data modality task, time series forecasting plays a pivotal role in diverse applications. With the remarkable advancements in Large Language Models (LLMs), the adoption of LLMs as the foundational architecture for time series…

Machine Learning · Computer Science 2025-07-10 Yiwen Liu , Chenyu Zhang , Junjie Song , Siqi Chen , Sun Yin , Zihan Wang , Lingming Zeng , Yuji Cao , Junming Jiao

In this work, we propose FM-Pair, an adaptation of Factorization Machines with a pairwise loss function, making them effective for datasets with implicit feedback. The optimization model in FM-Pair is based on the BPR (Bayesian Personalized…

Information Retrieval · Computer Science 2018-12-21 Babak Loni , Martha Larson , Alan Hanjalic

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

Forward gradient descent (FGD) has been proposed as a biologically more plausible alternative of gradient descent as it can be computed without backward pass. Considering the linear model with $d$ parameters, previous work has found that…

Statistics Theory · Mathematics 2024-11-27 Niklas Dexheimer , Johannes Schmidt-Hieber

The paper examines the performance of regression models (OLS linear regression, Ridge regression, Random Forest, and Fully-connected Neural Network) on the prediction of CMA (Conservative Minus Aggressive) factor premium and the performance…

Portfolio Management · Quantitative Finance 2024-07-23 Prabhu Prasad Panda , Maysam Khodayari Gharanchaei , Xilin Chen , Haoshu Lyu

Factor analysis is a statistical technique employed to evaluate how observed variables correlate through common factors and unique variables. While it is often used to analyze price movement in the unstable stock market, it does not always…

Statistical Finance · Quantitative Finance 2014-08-13 Angela Gu , Patrick Zeng

Within the field of hierarchical modelling, little attention is paid to micro-macro models: those in which group-level outcomes are dependent on covariates measured at the level of individuals within groups. Although such models are perhaps…

Methodology · Statistics 2024-11-06 Shaun McDonald , Alexandre Leblanc , Saman Muthukumarana , David Campbell

sparseDFM is an R package for the implementation of popular estimation methods for dynamic factor models (DFMs) including the novel Sparse DFM approach of Mosley et al. (2023). The Sparse DFM ameliorates interpretability issues of factor…

Computation · Statistics 2023-03-27 Luke Mosley , Tak-Shing Chan , Alex Gibberd

Factorial hidden Markov models (FHMMs) are powerful tools of modeling sequential data. Learning FHMMs yields a challenging simultaneous model selection issue, i.e., selecting the number of multiple Markov chains and the dimensionality of…

Machine Learning · Statistics 2015-06-29 Shaohua Li , Ryohei Fujimaki , Chunyan Miao

In many longitudinal settings, economic theory does not guide practitioners on the type of restrictions that must be imposed to solve the rotational indeterminacy of factor-augmented linear models. We study this problem and offer several…

Econometrics · Economics 2022-03-08 Matthew Harding , Carlos Lamarche , Chris Muris

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

Optimization and Control · Mathematics 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

Variational inference has recently emerged as a popular alternative to the classical Markov chain Monte Carlo (MCMC) in large-scale Bayesian inference. The core idea is to trade statistical accuracy for computational efficiency. In this…

Machine Learning · Statistics 2023-08-08 Kush Bhatia , Nikki Lijing Kuang , Yi-An Ma , Yixin Wang

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

Machine Learning · Computer Science 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang