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Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

Machine Learning · Computer Science 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

Graph connectivity is a fundamental combinatorial optimization problem that arises in many practical applications, where usually a spanning subgraph of a network is used for its operation. However, in the real world, links may fail…

Data Structures and Algorithms · Computer Science 2022-09-13 Dimitris Fotakis , Evangelia Gergatsouli , Charilaos Pipis , Miltiadis Stouras , Christos Tzamos

To better understand the correlation between network topological features and the robustness of network controllability in a general setting, this paper suggests a practical approach to searching for optimal network topologies with given…

Systems and Control · Electrical Eng. & Systems 2020-09-02 Yang Lou , Lin Wang , Kim Fung Tsang , Guanrong Chen

One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair $(A, B)$ whose nonzero entries are…

Systems and Control · Computer Science 2019-11-12 Fengjiao Liu , A. Stephen Morse

Strategic classification studies learning in settings where users can modify their features to obtain favorable predictions. Most current works focus on simple classifiers that trigger independent user responses. Here we examine the…

Machine Learning · Computer Science 2023-05-02 Itay Eilat , Ben Finkelshtein , Chaim Baskin , Nir Rosenfeld

Graph neural networks (GNNs) have emerged as a powerful tool for learning software engineering tasks including code completion, bug finding, and program repair. They benefit from leveraging program structure like control flow graphs, but…

Machine Learning · Computer Science 2020-10-27 David Bieber , Charles Sutton , Hugo Larochelle , Daniel Tarlow

We introduce a novel class of graphical models, termed profile graphical models, that represent, within a single graph, how an external factor influences the dependence structure of a multivariate set of variables. This class is quite…

Methodology · Statistics 2026-03-31 Alejandra Avalos-Pacheco , Monia Lupparelli , Francesco C. Stingo

Network controllability robustness reflects how well a networked dynamical system can maintain its controllability against destructive attacks. This paper investigates the network controllability robustness from the perspective of a…

Physics and Society · Physics 2021-03-09 Yang Lou , Lin Wang , Guanrong Chen

Compilers use control flow graph (CFG) representations of low-level programs because they are suited to program analysis and optimizations. However, formalizing the behavior and metatheory of CFG programs is non-trivial: CFG programs don't…

Programming Languages · Computer Science 2018-05-16 Dmitri Garbuzov , William Mansky , Christine Rizkallah , Steve Zdancewic

Graph neural networks (GNNs) have achieved state-of-the-art performance in many graph learning tasks. However, recent studies show that GNNs are vulnerable to both test-time evasion and training-time poisoning attacks that perturb the graph…

Cryptography and Security · Computer Science 2023-03-14 Binghui Wang , Meng Pang , Yun Dong

Many empirical networks display an inherent tendency to cluster, i.e. to form circles of connected nodes. This feature is typically measured by the clustering coefficient (CC). The CC, originally introduced for binary, undirected graphs,…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo

We propose a method for deriving networks from one-dimensional binary cellular automata. The derived networks are usually directed and have structural properties corresponding to the dynamical behaviors of their cellular automata. Network…

Cellular Automata and Lattice Gases · Physics 2010-09-28 Yoshihiko Kayama

The configuration model was originally defined for undirected networks and has recently been extended to directed networks. Many empirical networks are however neither undirected nor completely directed, but instead usually partially…

Probability · Mathematics 2015-09-30 Kristoffer Spricer , Tom Britton

Binary code analysis is widely used to assess a program's correctness, performance, and provenance. Binary analysis applications often construct control flow graphs, analyze data flow, and use debugging information to understand how machine…

We perform a massive evaluation of neural networks with architectures corresponding to random graphs of various types. We investigate various structural and numerical properties of the graphs in relation to neural network test accuracy. We…

Machine Learning · Computer Science 2020-12-03 Romuald A. Janik , Aleksandra Nowak

In this paper we offer a novel type of network model which can capture the precise structure of a financial market based, for example, on empirical findings. With the attached stochastic framework it is further possible to study how an…

Mathematical Finance · Quantitative Finance 2015-07-09 Alexander von Felbert

Analysis of degree-degree dependencies in complex networks, and their impact on processes on networks requires null models, i.e. models that generate uncorrelated scale-free networks. Most models to date however show structural negative…

Physics and Society · Physics 2015-08-12 Pim van der Hoorn , Nelly Litvak

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

The duality between controllability and observability enables methods developed for full-state control to be applied to full-state estimation, and vice versa. In applications in which control or estimation of all state variables is…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Arthur N. Montanari , Chao Duan , Adilson E. Motter

We describe a graphical model for probabilistic relationships---an alternative to the Bayesian network---called a dependency network. The graph of a dependency network, unlike a Bayesian network, is potentially cyclic. The probability…

Artificial Intelligence · Computer Science 2013-01-18 David Heckerman , David Maxwell Chickering , Christopher Meek , Robert Rounthwaite , Carl Kadie
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