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Heterogeneity is an unwanted variation when analyzing aggregated datasets from multiple sources. Though different methods have been proposed for heterogeneity adjustment, no systematic theory exists to justify these methods. In this work,…

Methodology · Statistics 2016-02-18 Jianqing Fan , Han Liu , Weichen Wang , Ziwei Zhu

Lately, Personalized Federated Learning (PFL) has emerged as a prevalent paradigm to deliver personalized models by collaboratively training while simultaneously adapting to each client's local applications. Existing PFL methods typically…

A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natural extension of the distribution proposed by Acal et al.…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Christian Acal , Juan B. Roldán

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

The diversity in disease profiles and therapeutic approaches between hospitals and health professionals underscores the need for patient-centric personalized strategies in healthcare. Alongside this, similarities in disease progression…

Machine Learning · Computer Science 2025-05-23 Navid Seidi , Satyaki Roy , Sajal K. Das , Ardhendu Tripathy

In multivariate functional data analysis, different functional covariates often exhibit homogeneity. The covariates with pronounced homogeneity can be analyzed jointly within the same group, offering a parsimonious approach to modeling…

Methodology · Statistics 2024-10-24 Shuhao Jiao , Ngai-Hang Chan

An individualized risk prediction model that dynamically updates the probability of a clinical event from a specific cause is valuable for physicians to be able to optimize personalized treatment strategies in real-time by incorporating all…

Methodology · Statistics 2019-04-22 Qing Liu , Gong Tang , Joseph P. Costantino , Chung-Chou H. Chang

Conformal inference is a statistical method used to construct prediction sets for point predictors, providing reliable uncertainty quantification with probability guarantees. This method utilizes historical labeled data to estimate the…

Machine Learning · Computer Science 2024-11-05 Xiaoyi Su , Zhixin Zhou , Rui Luo

Appropriately evaluating the discrepancy between domains is essential for the success of unsupervised domain adaptation. In this paper, we first point out that existing discrepancy measures are less informative when complex models such as…

Machine Learning · Statistics 2019-10-23 Jongyeong Lee , Nontawat Charoenphakdee , Seiichi Kuroki , Masashi Sugiyama

We present and investigate an extension of the classical random graph to a general class of inhomogeneous random graph models, where vertices come in different types, and the probability of realizing an edge depends on the types of its…

Statistical Mechanics · Physics 2009-11-07 Bo Soderberg

Federated learning has received significant attention for its ability to simultaneously protect customer privacy and leverage distributed data from multiple devices for model training. However, conventional approaches often focus on…

Machine Learning · Computer Science 2025-10-07 Jiahao Zeng , Wolong Xing , Liangtao Shi , Xin Huang , Jialin Wang , Zhile Cao , Zhenkui Shi

In this work, we map the phase diagrams of one-dimensional quasiperiodic models using artificial neural networks. We observe that the multi-class classifier precisely distinguishes the various phases, namely the delocalized, multifractal,…

Disordered Systems and Neural Networks · Physics 2023-10-20 Aamna Ahmed , Abee Nelson , Ankur Raina , Auditya Sharma

Complex continuous or mixed joint distributions (e.g., P(Y | z_1, z_2, ..., z_N)) generally lack closed-form solutions, often necessitating approximations such as MCMC. This paper proposes Indeterminate Probability Theory (IPT), which makes…

Machine Learning · Computer Science 2025-06-24 Tao Yang , Chuang Liu , Xiaofeng Ma , Weijia Lu , Ning Wu , Bingyang Li , Zhifei Yang , Peng Liu , Lin Sun , Xiaodong Zhang , Can Zhang

Heterogeneity is a fundamental and challenging issue in federated learning, especially for the graph data due to the complex relationships among the graph nodes. To deal with the heterogeneity, lots of existing methods perform the weighted…

Machine Learning · Computer Science 2024-12-17 Wentao Yu , Shuo Chen , Yongxin Tong , Tianlong Gu , Chen Gong

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

Methodology · Statistics 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

This paper investigates improved testing inferences under a general multivariate elliptical regression model. The model is very flexible in terms of the specification of the mean vector and the dispersion matrix, and of the choice of the…

Statistics Theory · Mathematics 2016-11-01 T. F. N. Melo , S. L. P. Ferrari , A. G. Patriota

A new robust class of multivariate skew distributions is introduced. Practical aspects such as parameter estimation method of the proposed class are discussed, we show that the proposed class can be fitted under a reasonable time frame. Our…

Methodology · Statistics 2020-11-17 H. Kwong , S. Nadarajah

Power distribution networks, especially in North America, are often unbalanced but are designed to keep unbalance levels within the limits specified by IEEE, IEC, and NEMA standards. However, rapid integration of unbalanced devices, such as…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Rahul K. Gupta , Daniel K. Molzahn

In a split conformal framework with $K$ classes, a calibration sample of $n$ labeled examples is observed for inference on the label of a new unlabeled example. We explore the setting where a `batch' of $m$ independent such unlabeled…

Methodology · Statistics 2025-03-19 Ulysse Gazin , Ruth Heller , Etienne Roquain , Aldo Solari

Modelling non-homogeneous and multi-component data is a problem that challenges scientific researchers in several fields. In general, it is not possible to find a simple and closed form probabilistic model to describe such data. That is why…

Methodology · Statistics 2017-12-27 Nehla Debbabi , Marie Kratz , Mamadou Mboup