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Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

数据分析、统计与概率 · 物理学 2007-06-21 M. E. J. Newman , E. A. Leicht

Established recurrent neural networks are well-suited to solve a wide variety of prediction tasks involving discrete sequences. However, they do not perform as well in the task of dynamical system identification, when dealing with…

机器学习 · 计算机科学 2019-11-22 Thomas Demeester

Here we research the univariate quantitative approximation of real and complex valued continuous functions on a compact interval or all the real line by quasi-interpolation, Baskakov type and quadrature type neural network operators. We…

经典分析与常微分方程 · 数学 2014-04-28 George Anastassiou

Network structure is growing popular for capturing the intrinsic relationship between large-scale variables. In the paper we propose to improve the estimation accuracy for large-dimensional factor model when a network structure between…

统计方法学 · 统计学 2020-01-30 Long Yu , Yong He , Xinsheng Zhang , Ji Zhu

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper provides…

系统与控制 · 电气工程与系统科学 2024-12-20 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Now a days, data mining and knowledge discovery methods are applied to a variety of enterprise and engineering disciplines to uncover interesting patterns from databases. The study of Sequential patterns is an important data mining problem…

数据库 · 计算机科学 2009-06-24 Jigyasa Bisaria , Namita Shrivastava , K. R. Pardasani

It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are investigated further. The new method of struggle with…

统计理论 · 数学 2011-03-09 V. N. Tibabishev

We propose a new method for quantitative characterization of spatial network-like patterns with loops, such as surface fracture patterns, leaf vein networks and patterns of urban streets. Such patterns are not well characterized by purely…

斑图形成与孤子 · 物理学 2015-05-20 Andrea Perna , Pascale Kuntz , Stéphane Douady

The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

统计力学 · 物理学 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov

This paper investigates the enumeration, rate region computation, and hierarchy of general multi-source multi-sink hyperedge networks under network coding, which includes multiple network models, such as independent distributed storage…

信息论 · 计算机科学 2015-07-22 Congduan Li , Steven Weber , John MacLaren Walsh

Simulating dynamics of open quantum systems is sometimes a significant challenge, despite the availability of various exact or approximate methods. Particularly when dealing with complex systems, the huge computational cost will largely…

量子物理 · 物理学 2023-08-04 Wei Liu , Zi-Hao Chen , Yu Su , Yao Wang , Wenjie Dou

Reaction networks are a general formalism for describing collections of classical entities interacting in a random way. While reaction networks are mainly studied by chemists, they are equivalent to Petri nets, which are used for similar…

数学物理 · 物理学 2021-11-23 John C. Baez

For a class of large closed Jackson networks submitted to capacity constraints, asymptotic independence of the nodes in normal traffic phase is proved at stationarity under mild assumptions, using a Local Limit Theorem. The limiting…

概率论 · 数学 2015-07-29 Christine Fricker , Danielle Tibi

In this paper, we present a queueing model for quantum communication networks, a rapidly growing field of research inspired by its technological promise and recent experimental successes. The model consists of a primary queue and a service…

概率论 · 数学 2024-12-23 Karim S. Elsayed , Olga Izyumtseva , Wasiur R. KhudaBukhsh , Amr Rizk

We study two families of QBD processes with linear rates: (A) the multiserver retrial queue and its easier relative; and (B) the multiserver M/M/infinity Markov modulated queue. The linear rates imply that the stationary probabilities…

量子代数 · 数学 2014-03-11 F. Avram , D. Matei , Y. Q. Zhao

Parametric prediction error methods constitute a classical approach to the identification of linear dynamic systems with excellent large-sample properties. A more recent regularized approach, inspired by machine learning and Bayesian…

系统与控制 · 计算机科学 2017-10-12 Johan Wågberg , Dave Zachariah , Thomas B. Schön

Large-scale Hierarchical Classification (HC) involves datasets consisting of thousands of classes and millions of training instances with high-dimensional features posing several big data challenges. Feature selection that aims to select…

机器学习 · 计算机科学 2017-06-07 Azad Naik , Huzefa Rangwala

We propose a method for approximating the large deviation rate function of time-integrated observables of diffusion processes, used in statistical physics to characterize the fluctuations of nonequilibrium systems. The method is based on…

统计力学 · 物理学 2026-01-15 Pelerine Tsobgni Nyawo , Hugo Touchette

Many dynamical systems can be successfully analyzed by representing them as networks. Empirically measured networks and dynamic processes that take place in these situations show heterogeneous, non-Markovian, and intrinsically correlated…

Nonstationarity of the event rate is a persistent problem in modeling time series of events, such as neuronal spike trains. Motivated by a variety of patterns in neurophysiological spike train recordings, we define a general class of…