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This paper presents a statistically sound method for measuring the accuracy with which a probabilistic model reflects the growth of a network, and a method for optimising parameters in such a model. The technique is data-driven, and can be…

Networking and Internet Architecture · Computer Science 2009-04-07 Richard Clegg , Raul Landa , Uli Harder , Miguel Rio

Formal verification has emerged as a promising method to ensure the safety and reliability of neural networks. However, many relevant properties, such as fairness or global robustness, pertain to the entire input space. If one applies…

Machine Learning · Computer Science 2025-11-20 Faried Abu Zaid , Daniel Neider , Mustafa Yalçıner

Inference of the network structure (e.g., routing topology) and dynamics (e.g., link performance) is an essential component in many network design and management tasks. In this paper we propose a new, general framework for analyzing and…

Networking and Internet Architecture · Computer Science 2019-11-13 Jian Ni , Sekhar Tatikonda

The probabilistic-stream model was introduced by Jayram et al. \cite{JKV07}. It is a generalization of the data stream model that is suited to handling ``probabilistic'' data where each item of the stream represents a probability…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrew McGregor , S. Muthukrishnan

Measuring network flow sizes is important for tasks like accounting/billing, network forensics and security. Per-flow accounting is considered hard because it requires that many counters be updated at a very high speed; however, the large…

Networking and Internet Architecture · Computer Science 2007-10-07 Yi Lu , Andrea Montanari , Balaji Prabhakar

The continual growth of high speed networks is a challenge for real-time network analysis systems. The real time traffic classification is an issue for corporations and ISPs (Internet Service Providers). This work presents the design and…

Networking and Internet Architecture · Computer Science 2015-01-08 Silas Santiago Lopes Pereira , José Everardo Bessa Maia , Jorge Luiz de Castro e Silva

Traffic flow count data in networks arise in many applications, such as automobile or aviation transportation, certain directed social network contexts, and Internet studies. Using an example of Internet browser traffic flow through…

Methodology · Statistics 2022-06-07 Xi Chen , Kaoru Irie , David Banks , Robert Haslinger , Jewell Thomas , Mike West

We study the extreme events taking place on complex networks. The transport on networks is modelled using random walks and we compute the probability for the occurance and recurrence of extreme events on the network. We show that the nodes…

Statistical Mechanics · Physics 2011-05-05 Vimal Kishore , M. S. Santhanam , R. E. Amritkar

Random graph mixture models are now very popular for modeling real data networks. In these setups, parameter estimation procedures usually rely on variational approximations, either combined with the expectation-maximisation (\textsc{em})…

Statistics Theory · Mathematics 2010-12-09 Christophe Ambroise , Catherine Matias

We propose a framework for speeding up maximum flow computation by using predictions. A prediction is a flow, i.e., an assignment of non-negative flow values to edges, which satisfies the flow conservation property, but does not necessarily…

Data Structures and Algorithms · Computer Science 2022-07-27 Adam Polak , Maksym Zub

Mixture models are regularly used in density estimation applications, but the problem of estimating the mixing distribution remains a challenge. Nonparametric maximum likelihood produce estimates of the mixing distribution that are…

Computation · Statistics 2019-06-28 Minwoo Chae , Ryan Martin , Stephen G. Walker

The future motion of traffic participants is inherently uncertain. To plan safely, therefore, an autonomous agent must take into account multiple possible trajectory outcomes and prioritize them. Recently, this problem has been addressed…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Christoph Schöller , Alois Knoll

In theory, Bayesian nonparametric (BNP) models are well suited to streaming data scenarios due to their ability to adapt model complexity with the observed data. Unfortunately, such benefits have not been fully realized in practice;…

Machine Learning · Statistics 2015-04-22 Alex Tank , Nicholas J. Foti , Emily B. Fox

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

We study how the choice of packet scheduling algorithms influences end-to-end performance on long network paths. Taking a network calculus approach, we consider both deterministic and statistical performance metrics. A key enabling…

Networking and Internet Architecture · Computer Science 2011-01-07 Yashar Ghiassi-Farrokhfal , Jorg Liebeherr , Almut Burchard

Macroscopic link-based flow models are efficient for simulating flow propagation in urban road networks. Existing link-based flow models described traffic states of a link with two state variables of link inflow and outflow and assumed…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Lei Wei , S. Travis Waller , Yu Mei , Peng Chen , Yunpeng Wang , Meng Wang

Normalizing Flows are a promising new class of algorithms for unsupervised learning based on maximum likelihood optimization with change of variables. They offer to learn a factorized component representation for complex nonlinear data and,…

Machine Learning · Computer Science 2020-02-17 Reuben Feinman , Nikhil Parthasarathy

Modeling how network-level traffic flow changes in the urban environment is useful for decision-making in transportation, public safety and urban planning. The traffic flow system can be viewed as a dynamic process that transits between…

Machine Learning · Computer Science 2022-11-22 Xiaoliang Lei , Hao Mei , Bin Shi , Hua Wei

Estimating causal effects from observational data has become increasingly critical in diverse fields including healthcare, economics, and social policy. The fundamental challenge in causal inference arises from the missing counterfactuals…

Machine Learning · Computer Science 2026-05-08 Yifei Xie , Jian Huang

Normalizing Flows explicitly maximize a full-dimensional likelihood on the training data. However, real data is typically only supported on a lower-dimensional manifold leading the model to expend significant compute on modeling noise.…

Machine Learning · Computer Science 2024-06-28 Peter Sorrenson , Felix Draxler , Armand Rousselot , Sander Hummerich , Lea Zimmermann , Ullrich Köthe