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This paper introduces a two-stage framework designed to enhance long-tail class incremental learning, enabling the model to progressively learn new classes, while mitigating catastrophic forgetting in the context of long-tailed data…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Jayateja Kalla , Soma Biswas

We propose a Bernoulli phase-fitted (BPF) finite difference method for the Helmholtz equation on the interval $(0, L)$ with impedance boundary conditions. The scheme is derived from a complexified Scharfetter--Gummel discretization of the…

Numerical Analysis · Mathematics 2026-05-21 Ansgar Jüngel , Panchi Li , Zhiwei Sun , Zhiwen Zhang

We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right…

Soft Condensed Matter · Physics 2009-10-31 R. Folch , J. Casademunt , A. Hernandez-Machado , L. Ramirez-Piscina

Collaboration between different data centers is often challenged by heterogeneity across sites. To account for the heterogeneity, the state-of-the-art method is to re-weight the covariate distributions in each site to match the distribution…

Machine Learning · Statistics 2024-04-25 Tianyu Guo , Sai Praneeth Karimireddy , Michael I. Jordan

Federated Learning (FL) is designed as a decentralized, privacy-preserving machine learning paradigm that enables multiple clients to collaboratively train a model without sharing their data. In real-world scenarios, however, clients often…

Machine Learning · Computer Science 2025-10-17 Maulidi Adi Prasetia , Muhamad Risqi U. Saputra , Guntur Dharma Putra

In recent years, there has been considerable research on testing alphas in high-dimensional linear factor pricing models. In our study, we introduce a novel max-type test procedure that performs well under sparse alternatives. Furthermore,…

Methodology · Statistics 2024-04-11 Chenxi Zhao , Ping Zhao , Long Feng , Zhaojun Wang

There exist several endeavors proposing a new family of extended distributions using the beta-generating technique. This is a well-known mechanism in developing flexible distributions, by embedding the cumulative distribution function (cdf)…

Statistics Theory · Mathematics 2019-12-17 M. Arashi , A. Bekker , D. de Waal , S. Makgai

In modern randomized experiments, large-scale data collection increasingly yields rich baseline covariates and auxiliary information from multiple sources. Such information offers opportunities for more precise treatment effect estimation,…

Methodology · Statistics 2026-03-10 Wei Ma , Zeqi Wu , Zheng Zhang

We consider a wide class of semi linear Hamiltonian partial differential equa- tions and their approximation by time splitting methods. We assume that the nonlinearity is polynomial, and that the numerical tra jectory remains at least uni-…

Numerical Analysis · Mathematics 2009-12-16 Erwan Faou , Benoit Grebert

Clinical research often focuses on complex traits in which many variables play a role in mechanisms driving, or curing, diseases. Clinical prediction is hard when data is high-dimensional, but additional information, like domain knowledge…

Methodology · Statistics 2020-05-21 Mirrelijn M. van Nee , Lodewyk F. A. Wessels , Mark A. van de Wiel

This paper introduces a comprehensive framework for complex-valued probability measures and explores their novel applications in information theory and statistical analysis. We define a complex probability measure as a phase-modulated…

Information Theory · Computer Science 2026-03-16 Siang Cheng , Hejun Xu , Tianxiao Pang

Federated Learning (FL) has emerged as a promising decentralized learning (DL) approach that enables the use of distributed data without compromising user privacy. However, FL poses several key challenges. First, it is frequently assumed…

Machine Learning · Computer Science 2025-09-29 Zahid Iqbal

We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of…

Computation · Statistics 2014-02-24 Eisa Mahmoudi , Ali Akbar Jafari

The key of tip growth in eukaryotes is the polarized distribution on plasma membrane of a particle named ROP1. This distribution is the result of a positive feedback loop, whose mechanism can be described by a Differential Equation…

Methodology · Statistics 2016-05-03 Zhen Xiao , Nicolas Brunel , Zhenbiao Yang , Xinping Cui

Schwarz methods are attractive parallel solvers for large scale linear systems obtained when partial differential equations are discretized. For hybridizable discontinuous Galerkin (HDG) methods, this is a relatively new field of research,…

Numerical Analysis · Mathematics 2015-03-16 Martin J. Gander , Soheil Hajian

Path integrals similar to those describing stiff polymers arise in the Helfrich model for membranes. We show how these types of path integrals can be evaluated and apply our results to study the thermodynamics of a minority stripe phase in…

Soft Condensed Matter · Physics 2009-01-27 D. S. Dean , R. R. Horgan

Pareto distributions are widely used models in economics, finance and actuarial sciences. As a result, a number of goodness-of-fit tests have been proposed for these distributions in the literature. We provide an overview of the existing…

Methodology · Statistics 2022-11-21 L. Ndwandwe , J. S. Allison , L. Santana , I. J. H. Visagie

In traditional phase-field modeling of multiphase materials, a significant challenge arises from the non-local nature of fracture energy regularization, where interfacial toughness is inherently coupled with the properties of the…

Computational Physics · Physics 2026-04-14 Ye-Hang Qin , Ye Feng

Estimating the sharing of genetic effects across different conditions is important to many statistical analyses of genomic data. The patterns of sharing arising from these data are often highly heterogeneous. To flexibly model these…

Methodology · Statistics 2024-06-14 Yunqi Yang , Peter Carbonetto , David Gerard , Matthew Stephens

To quantify degree of spatial inhomogeneity for multiphase materials we adapt the entropic descriptor (ED) of a pillar model developed to greyscale images. To uncover the contribution of each phase we introduce the suitable 'phase…

Statistical Mechanics · Physics 2015-06-17 D. Fraczek , R. Piasecki