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Quantile regression has been successfully used to study heterogeneous and heavy-tailed data. Varying-coefficient models are frequently used to capture changes in the effect of input variables on the response as a function of an index or…

Methodology · Statistics 2021-10-18 Ran Dai , Mladen Kolar

Modeling and forecasting covariance matrices of asset returns play a crucial role in finance. The availability of high frequency intraday data enables the modeling of the realized covariance matrix directly. However, most models in the…

Applications · Statistics 2015-04-15 Keren Shen , Jianfeng Yao , Wai Keung Li

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

Computation · Statistics 2022-05-30 Emanuele Aliverti , Massimiliano Russo

This paper considers the quantile regression model with both individual fixed effect and time period effect for general spatial panel data. Instrumental variable quantile regression estimators will be proposed. Asymptotic properties of the…

Methodology · Statistics 2016-08-08 Xiaowen Dai , Zhen Yan , Maozai Tian , Manlai Tang

Large tensor (multi-dimensional array) data are now routinely collected in a wide range of applications, due to modern data collection capabilities. Often such observations are taken over time, forming tensor time series. In this paper we…

Methodology · Statistics 2020-05-20 Rong Chen , Dan Yang , Cun-hui Zhang

We propose an estimation methodology for a semiparametric quantile factor panel model. We provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error…

Methodology · Statistics 2017-09-01 Shujie Ma , Oliver Linton , Jiti Gao

Time-resolved studies of quantum systems are the key to understand quantum dynamics at its core. The real-time measurement of individual quantum numbers as they switch between certain discrete values, well known as random telegraph signal,…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Eric Kleinherbers , Philipp Stegmann , Annika Kurzmann , Martin Geller , Axel Lorke , Jürgen König

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

Methodology · Statistics 2025-12-03 Ruoqi Yu , Peng Ding

The paper develops a Transformer architecture for estimating dynamic factors from multivariate time series data under flexible identification assumptions. Performance on small datasets is improved substantially by using a conventional…

Econometrics · Economics 2026-01-21 Oliver Snellman

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

Machine Learning · Computer Science 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang

Factor analysis aims to determine latent factors, or traits, which summarize a given data set. Inter-battery factor analysis extends this notion to multiple views of the data. In this paper we show how a nonlinear, nonparametric version of…

Machine Learning · Statistics 2016-04-19 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

For regulatory and interpretability reasons, logistic regression is still widely used. To improve prediction accuracy and interpretability, a preprocessing step quantizing both continuous and categorical data is usually performed:…

Methodology · Statistics 2019-03-22 Adrien Ehrhardt , Christophe Biernacki , Vincent Vandewalle , Philippe Heinrich

We study quantile-optimal policy learning where the goal is to find a policy whose reward distribution has the largest $\alpha$-quantile for some $\alpha \in (0, 1)$. We focus on the offline setting whose generating process involves…

Machine Learning · Statistics 2025-06-10 Zhongren Chen , Siyu Chen , Zhengling Qi , Xiaohong Chen , Zhuoran Yang

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

It is well known that it is impossible to construct useful confidence intervals (CIs) about the mean or median of a response $Y$ conditional on features $X = x$ without making strong assumptions about the joint distribution of $X$ and $Y$.…

Methodology · Statistics 2024-01-29 Jayoon Jang , Emmanuel Candès

Quantile regression is a tool for learning conditional distributions. In this paper we study quantile regression in the setting where a protected attribute is unavailable when fitting the model. This can lead to "unfair'' quantile…

Statistics Theory · Mathematics 2019-07-23 Dana Yang , John Lafferty , David Pollard

We build a simple diagnostic criterion for approximate factor structure in large cross-sectional equity datasets. Given a model for asset returns with observable factors, the criterion checks whether the error terms are weakly…

Statistical Finance · Quantitative Finance 2017-08-08 Patrick Gagliardini , Elisa Ossola , Olivier Scaillet

We consider continuous-time models with a large panel of moment conditions, where the structural parameter depends on a set of characteristics, whose effects are of interest. The leading example is the linear factor model in financial…

Econometrics · Economics 2018-12-04 Yuan Liao , Xiye Yang

Matrix factor model is drawing growing attention for simultaneous two-way dimension reduction of well-structured matrix-valued observations. This paper focuses on robust statistical inference for matrix factor model in the ``diverging…

Methodology · Statistics 2023-06-07 Yong He , Xin-Bing Kong , Dong Liu , Ran Zhao

In modeling multivariate time series, it is important to allow time-varying smoothness in the mean and covariance process. In particular, there may be certain time intervals exhibiting rapid changes and others in which changes are slow. If…

Applications · Statistics 2014-06-02 Daniele Durante , Bruno Scarpa , David B. Dunson