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The theory of random graphs is being applied in recent years to model neural interactions in the brain. While the probabilistic properties of random graphs has been extensively studied in the literature, the development of statistical…

应用统计 · 统计学 2015-04-27 Andressa Cerqueira , Daniel Fraiman , Claudia D. Vargas , Florencia Leonardi

Traditionally, statistical and causal inference on human subjects rely on the assumption that individuals are independently affected by treatments or exposures. However, recently there has been increasing interest in settings, such as…

统计方法学 · 统计学 2020-02-25 Elizabeth L. Ogburn , Ilya Shpitser , Youjin Lee

Based on a recent development in the area of error control coding, we introduce the notion of convolutional factor graphs (CFGs) as a new class of probabilistic graphical models. In this context, the conventional factor graphs are referred…

人工智能 · 计算机科学 2012-07-19 Yongyi Mao , Frank Kschischang , Brendan J. Frey

The discipline of process mining deals with analyzing execution data of operational processes, extracting models from event data, checking the conformance between event data and normative models, and enhancing all aspects of processes.…

数据结构与算法 · 计算机科学 2022-04-11 Marco Pegoraro , Merih Seran Uysal , Wil M. P. van der Aalst

Influence diagrams are a directed graph representation for uncertainties as probabilities. The graph distinguishes between those variables which are under the control of a decision maker (decisions, shown as rectangles) and those which are…

人工智能 · 计算机科学 2013-04-12 Ross D. Shachter

Probabilistic inferences distill knowledge from graphs to aid human make important decisions. Due to the inherent uncertainty in the model and the complexity of the knowledge, it is desirable to help the end-users understand the inference…

社会与信息网络 · 计算机科学 2019-08-21 Chao Chen , Yifei Liu , Xi Zhang , Sihong Xie

Recent work has shown that not only decision trees (DTs) may not be interpretable but also proposed a polynomial-time algorithm for computing one PI-explanation of a DT. This paper shows that for a wide range of classifiers, globally…

人工智能 · 计算机科学 2021-06-24 Xuanxiang Huang , Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

We extend the well-known and widely used Exponential Random Graph Model (ERGM) by including nodal random effects to compensate for heterogeneity in the nodes of a network. The Bayesian framework for ERGMs proposed by Caimo and Friel (2011)…

应用统计 · 统计学 2015-01-13 Stephanie Thiemichen , Nial Friel , Alberto Caimo , Göran Kauermann

With the technology development, the need of analyze and extraction of useful information is increasing. Bayesian networks contain knowledge from data and experts that could be used for decision making processes But they are not easily…

人工智能 · 计算机科学 2014-12-16 Mostafa Sepahvand , Ghasem Alikhajeh , Meysam Ghaffari , Abdolreza Mirzaei

In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

机器学习 · 计算机科学 2020-11-25 Charilaos Mylonas , Eleni Chatzi

This paper considers the problem of randomized influence maximization over a Markovian graph process: given a fixed set of nodes whose connectivity graph is evolving as a Markov chain, estimate the probability distribution (over this fixed…

社会与信息网络 · 计算机科学 2017-11-10 Buddhika Nettasinghe , Vikram Krishnamurthy

Backtracking has been widely used for solving problems in artificial intelligence (AI), including constraint satisfaction problems and combinatorial optimization problems. Good branching heuristics can efficiently improve the performance of…

人工智能 · 计算机科学 2022-11-29 Congsong Zhang , Yong Gao , James Nastos

Link prediction in heterogeneous networks is crucial for understanding the intricacies of network structures and forecasting their future developments. Traditional methodologies often face significant obstacles, including…

计算工程、金融与科学 · 计算机科学 2025-01-07 Shengming Zhang , Le Zhang , Jingbo Zhou , Hui Xiong

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

物理与社会 · 物理学 2018-05-15 Filippo Radicchi , Claudio Castellano

The graphical lasso is a widely used algorithm for fitting undirected Gaussian graphical models. However, for inference on functionals of edge values in the learned graph, standard tools lack formal statistical guarantees, such as control…

统计方法学 · 统计学 2025-04-01 Sofia Guglielmini , Gerda Claeskens , Snigdha Panigrahi

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

机器学习 · 计算机科学 2026-05-26 Agustinus Kristiadi

Two-stage stochastic programs (2SPs) are important tools for making decisions under uncertainty. Decision-makers use contextual information to generate a set of scenarios to represent the true conditional distribution. However, the number…

最优化与控制 · 数学 2025-02-11 David Islip , Roy H. Kwon , Sanghyeon Bae , Woo Chang Kim

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

社会与信息网络 · 计算机科学 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

机器学习 · 计算机科学 2021-02-17 Valérie Poulin , François Théberge

Models of complex networks are generally defined as graph stochastic processes in which edges and vertices are added or deleted over time to simulate the evolution of networks. Here, we define a unifying framework - probabilistic inductive…

动力系统 · 数学 2010-11-10 Nataša Kejžar , Zoran Nikoloski , Vladimir Batagelj