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Stochastic Block Models (SBMs) are a popular approach to modeling single real-world graphs. The key idea of SBMs is to partition the vertices of the graph into blocks with similar edge densities within, as well as between different blocks.…

Social and Information Networks · Computer Science 2024-12-23 Iiro Kumpulainen , Sebastian Dalleiger , Jilles Vreeken , Nikolaj Tatti

With the fast development of quantitative portfolio optimization in financial engineering, lots of AI-based algorithmic trading strategies have demonstrated promising results, among which reinforcement learning begins to manifest…

Mathematical Finance · Quantitative Finance 2023-03-10 Huifang Huang , Ting Gao , Pengbo Li , Jin Guo , Peng Zhang , Nan Du

Low-dimensional representation and clustering of network data are tasks of great interest across various fields. Latent position models are routinely used for this purpose by assuming that each node has a location in a low-dimensional…

Methodology · Statistics 2025-11-04 Xian Yao Gwee , Isobel Claire Gormley , Michael Fop

In order to study real-world systems, many applied works model them through signed graphs, i.e. graphs whose edges are labeled as either positive or negative. Such a graph is considered as structurally balanced when it can be partitioned…

Robotics · Computer Science 2022-03-31 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

This paper presents a sophisticated multi-day turnover quantitative trading algorithm that integrates advanced deep learning techniques with comprehensive cross-sectional stock prediction for the Chinese A-share market. Our framework…

Computational Engineering, Finance, and Science · Computer Science 2025-06-10 Yimin Du

We introduce Network Maximal Correlation (NMC) as a multivariate measure of nonlinear association among random variables. NMC is defined via an optimization that infers transformations of variables by maximizing aggregate inner products…

Machine Learning · Statistics 2017-02-13 Soheil Feizi , Ali Makhdoumi , Ken Duffy , Muriel Medard , Manolis Kellis

We investigate the unsupervised node classification problem on random hypergraphs under the non-uniform Hypergraph Stochastic Block Model (HSBM) with two equal-sized communities. In this model, edges appear independently with probabilities…

Statistics Theory · Mathematics 2025-12-01 Hai-Xiao Wang

Network momentum provides a novel type of risk premium, which exploits the interconnections among assets in a financial network to predict future returns. However, the current process of constructing financial networks relies heavily on…

Portfolio Management · Quantitative Finance 2023-08-25 Xingyue Pu , Stefan Zohren , Stephen Roberts , Xiaowen Dong

We present an exact algorithm for computing all common subgraphs with the maximum number of vertices across multiple graphs. Our approach is further extended to handle the connected Maximum Common Subgraph (MCS), identifying the largest…

Data Structures and Algorithms · Computer Science 2025-04-03 Johannes B. S. Petersen , Akbar Davoodi , Thomas Gärtner , Marc Hellmuth , Daniel Merkle

The stochastic block model (SBM) is a flexible probabilistic tool that can be used to model interactions between clusters of nodes in a network. However, it does not account for interactions of time varying intensity between clusters. The…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

We study sharp detection thresholds for degree corrections in Stochastic Block Models in the context of a goodness of fit problem, and explore the effect of the unknown community assignment (a high dimensional nuisance parameter) and the…

Statistics Theory · Mathematics 2019-07-16 Rajarshi Mukherjee , Subhabrata Sen

A number of optimal decision problems with uncertainty can be formulated into a stochastic optimal control framework. The Least-Squares Monte Carlo (LSMC) algorithm is a popular numerical method to approach solutions of such stochastic…

Computational Finance · Quantitative Finance 2019-01-23 Zhiyi Shen , Chengguo Weng

In recent years, many large directed networks such as online social networks are collected with the help of powerful data engineering and data storage techniques. Analyses of such networks attract significant attention from both the…

Social and Information Networks · Computer Science 2025-08-01 Yunxiang Yan , Meng Jiang

Structural balance modeling for signed graph networks presents how to model the sources of conflicts. The state-of-the-art focuses on computing the frustration index of a signed graph, a critical step toward solving problems in social and…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

We use rank correlations as distance functions to establish the interconnectivity between stock returns, building weighted signed networks for the stocks of seven European countries, the US and Japan. We establish the theoretical…

Statistical Finance · Quantitative Finance 2021-04-14 E. Ferreira , S. Orbe , J. Ascorbebeitia , B. Álvarez Pereira , E. Estrada

In Stochastic blockmodels, which are among the most prominent statistical models for cluster analysis of complex networks, clusters are defined as groups of nodes with statistically similar link probabilities within and between groups. A…

Machine Learning · Statistics 2014-10-08 Tue Herlau , Mikkel N. Schmidt , Morten Mørup

Performance forecasting is an age-old problem in economics and finance. Recently, developments in machine learning and neural networks have given rise to non-linear time series models that provide modern and promising alternatives to…

Statistical Finance · Quantitative Finance 2022-01-21 Carmina Fjellström

Many complex systems - be they financial, natural, or social - are composed of units - such as stocks, neurons, or agents - whose joint activity can be represented as a multivariate time series. An issue of both practical and theoretical…

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

Statistics Theory · Mathematics 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

We present the Local Self-Balancing sampler (LSB), a local Markov Chain Monte Carlo (MCMC) method for sampling in purely discrete domains, which is able to autonomously adapt to the target distribution and to reduce the number of target…

Artificial Intelligence · Computer Science 2022-07-06 Emanuele Sansone