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Predictive constructions are a powerful way of characterizing the probability law of stochastic processes with certain forms of invariance, such as exchangeability or Markov exchangeability. When de Finetti-like representation theorems are…

统计方法学 · 统计学 2015-11-16 Sandra Fortini , Sonia Petrone

The convergence of simultaneous and marginal predictive classifiers under partition exchangeability in supervised classification is obtained. The result shows the asymptotic convergence of these classifiers under infinite amount of training…

机器学习 · 统计学 2021-01-27 Ali Amiryousefi

Due to the importance of signature vector in studying the reliability of networks, some methods have been proposed by researchers to obtain the signature. The notion of signature is used when at most one link may fail at each time instant.…

统计计算 · 统计学 2018-12-27 M. Siavashi , S. Zarezadeh

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

机器学习 · 计算机科学 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

Probabilistic automata constitute a versatile and elegant model for concurrent probabilistic systems. They are equipped with a compositional theory supporting abstraction, enabled by weak probabilistic bisimulation serving as the reference…

形式语言与自动机理论 · 计算机科学 2015-07-01 Andrea Turrini , Holger Hermanns

We introduce a general Bayesian framework for graph matching grounded in a new theory of exchangeable random permutations. Leveraging the cycle representation of permutations and the literature on exchangeable random partitions, we define,…

统计方法学 · 统计学 2026-02-03 Francesco Gaffi , Nathaniel Josephs , Lizhen Lin

Risk scores are widely used for clinical decision making and commonly generated from logistic regression models. Machine-learning-based methods may work well for identifying important predictors, but such 'black box' variable selection…

机器学习 · 计算机科学 2024-12-31 Yilin Ning , Siqi Li , Marcus Eng Hock Ong , Feng Xie , Bibhas Chakraborty , Daniel Shu Wei Ting , Nan Liu

Symbolic regression is a nonlinear regression method which is commonly performed by an evolutionary computation method such as genetic programming. Quantification of uncertainty of regression models is important for the interpretation of…

机器学习 · 计算机科学 2022-09-15 Fabricio Olivetti de Franca , Gabriel Kronberger

In this work, we present a new class of models, called uncertain-input models, that allows us to treat system-identification problems in which a linear system is subject to a partially unknown input signal. To encode prior information about…

系统与控制 · 计算机科学 2017-09-12 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

The preservation of stochastic orders by distortion functions has become a topic of increasing interest in the reliability analysis of coherent systems. The reason of this interest is that the reliability function of a coherent system with…

应用统计 · 统计学 2024-09-30 Antonio Arriaza , Miguel Angel Sordo

Motivated by the development and deployment of large-scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. In this work…

最优化与控制 · 数学 2015-06-19 Joao Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , Karl H. Johansson

We consider a network consisting of $n$ components (links or nodes) and assume that the network has two states, up and down. We further suppose that the network is subject to shocks that appear according to a counting process and that each…

应用统计 · 统计学 2015-07-16 S. Zarezadeh , S. Ashrafi , M. Asadi

We consider concurrent systems consisting of a finite but unknown number of components, that are replicated instances of a given set of finite state automata. The components communicate by executing interactions which are simultaneous…

形式语言与自动机理论 · 计算机科学 2019-02-08 Marius Bozga , Radu Iosif , Joseph Sifakis

We propose a novel statistical model for sparse networks with overlapping community structure. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with…

统计方法学 · 统计学 2025-02-06 Adrien Todeschini , Xenia Miscouridou , François Caron

Collectives form non-equilibrium social structures characterised by a volatile dynamics. Individuals join or leave. Social relations change quickly. Therefore, differently from engineered or ecological systems, a resilient reference state…

物理与社会 · 物理学 2022-10-19 Frank Schweitzer , Christian Zingg , Giona Casiraghi

For a (killed) spectrally negative L\'evy process we provide an analytic expression for the distribution of its overshoot over a fixed level in terms of the infinitesimal generator and the scale function of the process. Our identity…

概率论 · 数学 2015-05-19 Ronnie Loeffen

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

统计理论 · 数学 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Motivated by reduction of computational complexity, this work develops sign-error adaptive filtering algorithms for estimating time-varying system parameters. Different from the previous work on sign-error algorithms, the parameters are…

最优化与控制 · 数学 2016-11-17 Araz Hashemi , G. Yin , Le Yi Wang

Given a family of systems, identifying stabilizing switching signals in terms of infinite walks constructed by concatenating cycles on the underlying directed graph of a switched system that satisfy certain conditions, is a well-known…

系统与控制 · 计算机科学 2020-05-18 Atreyee Kundu

We investigate computability in the lattice of equivalence relations on the natural numbers. We mostly investigate whether the subsets of appropriately defined subrecursive equivalence relations -for example the set of all polynomial-time…

计算复杂性 · 计算机科学 2017-04-20 Jean-Yves Moyen , Jakob Grue Simonsen