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Graph reconstruction can efficiently detect the underlying topology of massive networks such as the Internet. Given a query oracle and a set of nodes, the goal is to obtain the edge set by performing as few queries as possible. An algorithm…

数据结构与算法 · 计算机科学 2024-07-29 Clara Stegehuis , Lotte Weedage

We propose and study a hierarchical algorithm to generate graphs having a predetermined distribution of cliques, the fully connected subgraphs. The construction mechanism may be either random or incorporate preferential attachment. We…

物理与社会 · 物理学 2009-11-13 Gregor Kaczor , Claudius Gros

In this paper, we present a density estimation framework based on tree tensor-network states. The proposed method consists of determining the tree topology with Chow-Liu algorithm, and obtaining a linear system of equations that defines the…

机器学习 · 统计学 2022-09-07 Xun Tang , Yoonhaeng Hur , Yuehaw Khoo , Lexing Ying

Graphlets are induced subgraphs of a large network and are important for understanding and modeling complex networks. Despite their practical importance, graphlets have been severely limited to applications and domains with relatively small…

社会与信息网络 · 计算机科学 2017-03-01 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

Randomising networks using a naive `accept-all' edge-swap algorithm is generally biased. Building on recent results for nondirected graphs, we construct an ergodic detailed balance Markov chain with non-trivial acceptance probabilities for…

定量方法 · 定量生物学 2011-12-21 E. S. Roberts , A. C. C. Coolen

Drug Discovery is a fundamental and ever-evolving field of research. The design of new candidate molecules requires large amounts of time and money, and computational methods are being increasingly employed to cut these costs. Machine…

机器学习 · 统计学 2021-05-28 Pietro Bongini , Monica Bianchini , Franco Scarselli

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

机器学习 · 计算机科学 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

This paper studies the problem of estimating the grahpon model - the underlying generating mechanism of a network. Graphon estimation arises in many applications such as predicting missing links in networks and learning user preferences in…

机器学习 · 统计学 2017-09-12 Jiaming Xu

This work introduces and compares approaches for estimating rare-event probabilities related to the number of edges in the random geometric graph on a Poisson point process. In the one-dimensional setting, we derive closed-form expressions…

概率论 · 数学 2020-07-14 Christian Hirsch , Sarat B. Moka , Thomas Taimre , Dirk P. Kroese

A graph is a very common and powerful data structure used for modeling communication and social networks. Models that generate graphs with arbitrary features are important basic technologies in repeated simulations of networks and…

机器学习 · 计算机科学 2023-09-06 Takahiro Yokoyama , Yoshiki Sato , Sho Tsugawa , Kohei Watabe

Constructing the adjacency graph is fundamental to graph-based clustering. Graph learning in kernel space has shown impressive performance on a number of benchmark data sets. However, its performance is largely determined by the chosen…

机器学习 · 计算机科学 2019-03-15 Zhao Kang , Liangjian Wen , Wenyu Chen , Zenglin Xu

Recently, the classical configuration model for random graphs with given degree distribution has been extensively used as a null model in contraposition to real networks with the same degree distribution. In this paper, we briefly review…

数学物理 · 物理学 2007-08-21 Xinping Xu

In this paper, we study random subsampling of Gaussian process regression, one of the simplest approximation baselines, from a theoretical perspective. Although subsampling discards a large part of training data, we show provable guarantees…

机器学习 · 统计学 2019-01-29 Kohei Hayashi , Masaaki Imaizumi , Yuichi Yoshida

Consider each node of a graph to be generating a data stream that is synchronized and observed at near real-time. At a change-point $\tau$, a change occurs at a subset of nodes $C$, which affects the probability distribution of their…

机器学习 · 统计学 2023-01-13 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis

A learned generative model often produces biased statistics relative to the underlying data distribution. A standard technique to correct this bias is importance sampling, where samples from the model are weighted by the likelihood ratio…

Graph generation addresses the problem of generating new graphs that have a data distribution similar to real-world graphs. While previous diffusion-based graph generation methods have shown promising results, they often struggle to scale…

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

机器学习 · 统计学 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

We introduce graph normalizing flows: a new, reversible graph neural network model for prediction and generation. On supervised tasks, graph normalizing flows perform similarly to message passing neural networks, but at a significantly…

机器学习 · 计算机科学 2019-05-31 Jenny Liu , Aviral Kumar , Jimmy Ba , Jamie Kiros , Kevin Swersky

Average consensus algorithms compute the global average of sensor data in a distributed fashion using local sensor nodes. Simple execution, decentralized philosophy make these algorithms suitable for WSN scenarios. Most of the researchers…

系统与控制 · 计算机科学 2018-08-21 Sateeshkrishna Dhuli , Y. N. Singh

We explore the usage of meta-learning to derive the causal direction between variables by optimizing over a measure of distribution simplicity. We incorporate a stochastic graph representation which includes latent variables and allows for…

机器学习 · 计算机科学 2021-06-11 Justin Wong , Dominik Damjakob