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Network structure can have significant effects on the propagation of diseases, memes, and information on social networks. Such effects depend on the specific type of dynamical process that affects the nodes and edges of a network, and it is…

物理与社会 · 物理学 2017-01-25 Jonas Søgaard Juul , Mason A. Porter

The inclusion of a threshold in the dynamics of layered neural networks with variable activity is studied at arbitrary temperature. In particular, the effects on the retrieval quality of a self-controlled threshold obtained by forcing the…

无序系统与神经网络 · 物理学 2009-10-31 D. Bolle' , G. Massolo

Causal inference relies on the untestable assumption of no unmeasured confounding. Sensitivity analysis can be used to quantify the impact of unmeasured confounding on causal estimates. Among sensitivity analysis methods proposed in the…

统计方法学 · 统计学 2026-03-12 Yushu Zou , Liangyuan Hu , Amanda Ricciuto , Mark Deneau , Kuan Liu

Continuous time Bayesian networks are investigated with a special focus on their ability to express causality. A framework is presented for doing inference in these networks. The central contributions are a representation of the intensity…

机器学习 · 统计学 2016-01-26 Jonas Hallgren , Timo Koski

The dynamics of decisions in complex networks is studied within a Markov process framework using numerical simulations combined with mathematical insight into the process mechanisms. A mathematical discrete-time model is derived based on a…

物理与社会 · 物理学 2012-11-01 Carlos Rodríguez Lucatero , Luis Alarcón , Roberto Bernal Jaquez , Alexander Schaum

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

概率论 · 数学 2020-06-16 Xinjia Chen

A vulnerability scan combined with information about a computer network can be used to create an attack graph, a model of how the elements of a network could be used in an attack to reach specific states or goals in the network. These…

密码学与安全 · 计算机科学 2021-03-19 Isaac Matthews , Sadegh Soudjani , Aad van Moorsel

The time variation of contacts in a networked system may fundamentally alter the properties of spreading processes and affect the condition for large-scale propagation, as encoded in the epidemic threshold. Despite the great interest in the…

物理与社会 · 物理学 2015-04-14 Eugenio Valdano , Luca Ferreri , Chiara Poletto , Vittoria Colizza

We consider the bridge linear regression modeling, which can produce a sparse or non-sparse model. A crucial point in the model building process is the selection of adjusted parameters including a regularization parameter and a tuning…

统计方法学 · 统计学 2015-02-19 Shuichi Kawano

Bayesian inference for neural networks, or Bayesian deep learning, has the potential to provide well-calibrated predictions with quantified uncertainty and robustness. However, the main hurdle for Bayesian deep learning is its computational…

机器学习 · 统计学 2023-09-07 Sanket Jantre , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

We develop the theory and practice of an approach to modelling and probabilistic inference in causal networks that is suitable when application-specific or analysis-specific constraints should inform such inference or when little or no data…

人工智能 · 计算机科学 2017-05-16 Paul Beaumont , Michael Huth

Humans and other animals behave as if we perform fast Bayesian inference underlying decisions and movement control given uncertain sense data. Here we show that a biophysically realistic model of the subthreshold membrane potential of a…

神经元与认知 · 定量生物学 2014-06-20 Michael G. Paulin , Andre van Schaik

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

A new probabilistic network construction system, DYNASTY, is proposed for diagnostic reasoning given variables whose probabilities change over time. Diagnostic reasoning is formulated as a sequential stochastic process, and is modeled using…

人工智能 · 计算机科学 2013-03-26 Gregory M. Provan

We present a method for learning the parameters of a Bayesian network with prior knowledge about the signs of influences between variables. Our method accommodates not just the standard signs, but provides for context-specific signs as…

人工智能 · 计算机科学 2012-07-09 Ad Feelders , Linda C. van der Gaag

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

统计计算 · 统计学 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

机器学习 · 统计学 2017-05-01 Xin Liu , Mahesan Niranjan

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

统计方法学 · 统计学 2024-04-01 Sizhu Lu , Peng Ding

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

宇宙学与河外天体物理 · 物理学 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

数据分析、统计与概率 · 物理学 2022-12-14 Martin Heßler , Oliver Kamps