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Concept drift describes unforeseeable changes in the underlying distribution of streaming data over time. Concept drift research involves the development of methodologies and techniques for drift detection, understanding and adaptation.…

机器学习 · 计算机科学 2020-04-14 Jie Lu , Anjin Liu , Fan Dong , Feng Gu , Joao Gama , Guangquan Zhang

We establish a theoretical link between the recently proposed "drifting" generative dynamics and gradient flows induced by the Sinkhorn divergence. In a particle discretization, the drift field admits a cross-minus-self decomposition: an…

机器学习 · 计算机科学 2026-03-30 Ping He , Om Khangaonkar , Hamed Pirsiavash , Yikun Bai , Soheil Kolouri

Languages and genes are both transmitted from generation to generation, with opportunity for differential reproduction and survivorship of forms. Here we apply a rigorous inference framework, drawn from population genetics, to distinguish…

种群与进化 · 定量生物学 2017-11-07 Christopher A. Ahern , Mitchell G. Newberry , Robin Clark , Joshua B. Plotkin

We present a new method for proving lower bounds on the expected running time of evolutionary algorithms. It is based on fitness-level partitions and an additional condition on transition probabilities between fitness levels. The method is…

神经与进化计算 · 计算机科学 2015-03-19 Dirk Sudholt

Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous…

经典分析与常微分方程 · 数学 2020-04-28 T. M. Dunster , A. Gil , J. Segura

The use of the adiabatic approximation in practical applications, as in adiabatic quantum computation, demands an assessment of the errors made in finite-time evolutions. Aiming at such scenarios, we derive bounds relating error and…

量子物理 · 物理学 2020-06-22 M. R. Passos , M. M. Taddei , R. L. de Matos Filho

We propose and analyze a self-adaptive version of the $(1,\lambda)$ evolutionary algorithm in which the current mutation rate is part of the individual and thus also subject to mutation. A rigorous runtime analysis on the OneMax benchmark…

神经与进化计算 · 计算机科学 2018-12-03 Benjamin Doerr , Carsten Witt , Jing Yang

We correct the value of the exponent \tau.

无序系统与神经网络 · 物理学 2009-10-31 Marc Barthelemy , Luis A. N. Amaral

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

复变函数 · 数学 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

The goal of this article is to establish a central limit theorem for the Euler-Maruyama scheme approximating multidimensional SDEs with elliptic Brownian diffusion, under very mild regularity requirements on the drift coefficients. When the…

概率论 · 数学 2023-09-29 Konstantinos Dareiotis , Máté Gerencsér , Khoa Lê

Using the language of regular variation, we give a sufficient condition for a point process to be in the superposition domain of attraction of a strictly stable point process. This sufficient condition is then used to obtain an explicit…

概率论 · 数学 2016-01-27 Ayan Bhattacharya , Rajat Subhra Hazra , Parthanil Roy

We study generalized linear prediction under a streaming setting, where each iteration uses only one fresh data point for a gradient-level update. While momentum is well-established in deterministic optimization, a fundamental open question…

机器学习 · 计算机科学 2026-03-03 Qian Chen , Shihong Ding , Cong Fang

We present a proof of Roth's theorem that follows a slightly different structure to the usual proofs, in that there is not much iteration. Although our proof works using a type of density increment argument (which is typical of most proofs…

组合数学 · 数学 2008-04-01 Ernie Croot , Olof Sisask

Introducing certain singularities, we generalize the class of one-dimensional stochastic differential equations with so-called generalized drift. Equations with generalized drift, well-known in the literature, possess a drift that is…

概率论 · 数学 2013-10-22 Stefan Blei , Hans-Jürgen Engelbert

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

统计力学 · 物理学 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.

经典分析与常微分方程 · 数学 2013-12-19 Hongwei Lou

The society produces textual data online in several ways, e.g., via reviews and social media posts. Therefore, numerous researchers have been working on discovering patterns in textual data that can indicate peoples' opinions, interests,…

We provide a spectrum of new theoretical insights and practical results for finding a Minimum Dilation Triangulation (MDT), a natural geometric optimization problem of considerable previous attention: Given a set $P$ of $n$ points in the…

计算几何 · 计算机科学 2025-02-26 Sándor P. Fekete , Phillip Keldenich , Michael Perk

Modern analytical systems must be ready to process streaming data and correctly respond to data distribution changes. The phenomenon of changes in data distributions is called concept drift, and it may harm the quality of the used models.…

机器学习 · 计算机科学 2021-10-26 Jędrzej Kozal , Filip Guzy , Michał Woźniak

A fundamental issue for statistical classification models in a streaming environment is that the joint distribution between predictor and response variables changes over time (a phenomenon also known as concept drifts), such that their…

机器学习 · 统计学 2019-02-11 Shujian Yu , Zubin Abraham , Heng Wang , Mohak Shah , Yantao Wei , José C. Príncipe