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Multiphase estimation is a paradigmatic example of a multiparameter problem. When measuring multiple phases embedded in interferometric networks, specially-tailored input quantum states achieve enhanced sensitivities compared with both…

Canonical Correlation Analysis (CCA) and its regularised versions have been widely used in the neuroimaging community to uncover multivariate associations between two data modalities (e.g., brain imaging and behaviour). However, these…

Machine Learning · Statistics 2021-03-12 Fabio S. Ferreira , Agoston Mihalik , Rick A. Adams , John Ashburner , Janaina Mourao-Miranda

Neural recording technologies now enable simultaneous recording of population activity across many brain regions, motivating the development of data-driven models of communication between brain regions. However, existing models can struggle…

Neurons and Cognition · Quantitative Biology 2025-10-06 Belle Liu , Jacob Sacks , Matthew D. Golub

Factor models are widely used to reduce dimensionality in modeling high-dimensional data. However, there remains a need for models that can be reliably fit in modest sample sizes and are identifiable, interpretable, and flexible. To address…

Methodology · Statistics 2025-06-19 Maoran Xu , Steven Winter , Amy H. Herring , David B. Dunson

Relations between categorical variables can be analyzed conveniently by multiple correspondence analysis (MCA). %It is well suited to discover relations that may exist between categories of different variables. The graphical representation…

Methodology · Statistics 2016-03-11 Patrick J. F. Groenen , Julie Josse

We propose Mixed-Panels-Transformer Encoder (MPTE), a novel framework for estimating factor models in panel datasets with mixed frequencies and nonlinear signals. Traditional factor models rely on linear signal extraction and require…

Econometrics · Economics 2026-01-26 Alessio Brini , Ekaterina Seregina

Psychiatry research seeks to understand the manifestations of psychopathology in behavior, as measured in questionnaire data, by identifying a small number of latent factors that explain them. While factor analysis is the traditional tool…

Machine Learning · Computer Science 2026-03-18 Ka Chun Lam , Bridget W Mahony , Armin Raznahan , Francisco Pereira

We propose improved standard errors and an asymptotic distribution theory for two-way clustered panels. Our proposed estimator and theory allow for arbitrary serial dependence in the common time effects, which is excluded by existing…

Econometrics · Economics 2023-12-15 Harold D Chiang , Bruce E Hansen , Yuya Sasaki

Many models and real complex systems possess critical thresholds at which the systems shift from one sate to another. The discovery of the early warnings of the systems in the vicinity of critical point are of great importance to estimate…

Statistical Mechanics · Physics 2017-02-08 Longfeng Zhao , Wei Li , Chunbin Yang , Jihui Han , Zhu Su , Yijiang Zou , Xu Cai

Nearly all identifiability results in unsupervised representation learning inspired by, e.g., independent component analysis, factor analysis, and causal representation learning, rely on assumptions of additive independent noise or…

Machine Learning · Computer Science 2025-03-24 Yujia Zheng , Yang Liu , Jiaxiong Yao , Yingyao Hu , Kun Zhang

Spectral singularities at non-zero frequencies play an important role in investigating cyclic or seasonal time series. The publication [2] introduced the generalized filtered method-of-moments approach to simultaneously estimate singularity…

Statistics Theory · Mathematics 2020-11-13 Antoine Ayache , Myriam Fradon , Ravindi Nanayakkara , Andriy Olenko

Fault diagnosis in multimode processes plays a critical role in ensuring the safe operation of industrial systems across multiple modes. It faces a great challenge yet to be addressed - that is, the significant distributional differences…

Machine Learning · Computer Science 2025-07-24 Guangqiang Li , M. Amine Atoui , Xiangshun Li

We study diversity in one-shot communication over molecular timing channels. We consider a channel model where the transmitter simultaneously releases a large number of information particles, while the information is encoded in the time of…

Information Theory · Computer Science 2018-01-18 Yonathan Murin , Nariman Farsad , Mainak Chowdhury , Andrea Goldsmith

We developed a single factor model with measure-specific sample weights for multivariate data with multiple observed indicators clustered within a higher level subject. The factor is therefore a latent variable shared by multiple indicators…

Methodology · Statistics 2019-10-22 Chengan Du , Shu-Xia Li , Zhenqiu Lin , Haiqun Lin

The focus of this paper is to extend Fisher's linear discriminant analysis (LDA) to both densely re-corded functional data and sparsely observed longitudinal data for general $c$-category classification problems. We propose an efficient…

Methodology · Statistics 2017-09-07 Lu-Hung Chen , Ci-Ren Jiang

Excess of probabilities of elastic processes over inelastic ones is a characteristic feature of the chaotic resonance scattering predicted by the random matrix theory (RMT). Quantitatively, this phenomenon is characterized by the elastic…

Nuclear Theory · Physics 2015-07-06 Valentin V. Sokolov , Oleg V. Zhirov

The concept of reconfigurable fluid antennas (FA) is a potential and promising solution to enhance the spectral efficiency of wireless communication networks. Despite their many advantages, FA-enabled communications have limitations as they…

Information Theory · Computer Science 2022-12-19 Christodoulos Skouroumounis , Ioannis Krikidis

Factor analysis provides linear factors that describe relationships between individual variables of a data set. We extend this classical formulation into linear factors that describe relationships between groups of variables, where each…

Machine Learning · Statistics 2014-12-03 Arto Klami , Seppo Virtanen , Eemeli Leppäaho , Samuel Kaski

Identifying the number of factors in a high-dimensional factor model has attracted much attention in recent years and a general solution to the problem is still lacking. A promising ratio estimator based on the singular values of the lagged…

Methodology · Statistics 2018-01-23 Zeng Li , Qinwen Wang , Jianfeng Yao

The PARAFAC2 is a multimodal factor analysis model suitable for analyzing multi-way data when one of the modes has incomparable observation units, for example because of differences in signal sampling or batch sizes. A fully probabilistic…

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