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The Bitcoin transaction graph is a public data structure organized as transactions between addresses, each associated with a logical entity. In this work, we introduce a complete probabilistic model of the Bitcoin Blockchain. We first…

Cryptography and Security · Computer Science 2018-12-14 Marc Jourdan , Sebastien Blandin , Laura Wynter , Pralhad Deshpande

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

The Bitcoin Lightning Network is a layer 2 protocol designed to facilitate fast and inexpensive Bitcoin transactions. It operates by establishing channels between users, where Bitcoin is locked and transactions are conducted off-chain until…

Cryptography and Security · Computer Science 2024-07-12 Rainer Feichtinger , Florian Grötschla , Lioba Heimbach , Roger Wattenhofer

Blockchain technology is ushering in another break-out year, the challenge of blockchain still remains to be solved. This paper analyzes the features of Bitcoin and Bitcoin-NG system based on blockchain, proposes an improved method of…

Cryptography and Security · Computer Science 2018-11-01 Jia Kan , Shangzhe Chen , Xin Huang

There recently has been a surge of interest in developing a new class of deep learning (DL) architectures that integrate an explicit time dimension as a fundamental building block of learning and representation mechanisms. In turn, many…

Machine Learning · Computer Science 2021-05-11 Yuzhou Chen , Ignacio Segovia-Dominguez , Yulia R. Gel

Graph Neural Networks (GNNs) have excelled in predicting graph properties in various applications ranging from identifying trends in social networks to drug discovery and malware detection. With the abundance of new architectures and…

Machine Learning · Computer Science 2024-06-06 Roya Aliakbarisani , Robert Jankowski , M. Ángeles Serrano , Marián Boguñá

Agencies such as Standard & Poor's and Moody's provide bank credit ratings that influence economic stability and decision-making by stakeholders. Accurate and timely predictions support informed decision-making, regulatory actions, and…

Machine Learning · Computer Science 2025-06-10 Junyi Liu , Stanley Kok

Understanding the common topological characteristics of the human brain network across a population is central to understanding brain functions. The abstraction of human connectome as a graph has been pivotal in gaining insights on the…

Quantitative Methods · Quantitative Biology 2023-04-26 Soumya Das , D. Vijay Anand , Moo K. Chung

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Topological features based on persistent homology capture high-order structural information so as to augment graph neural network methods. However, computing extended persistent homology summaries remains slow for large and dense graphs and…

Machine Learning · Computer Science 2022-11-16 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

Blockchain is an emerging technology that has enabled many applications, from cryptocurrencies to digital asset management and supply chains. Due to this surge of popularity, analyzing the data stored on blockchains poses a new critical…

Cryptography and Security · Computer Science 2021-10-01 Cuneyt Gurcan Akcora , Murat Kantarcioglu , Yulia R. Gel

Topological data analysis uses tools from topology -- the mathematical area that studies shapes -- to create representations of data. In particular, in persistent homology, one studies one-parameter families of spaces associated with data,…

Machine Learning · Computer Science 2020-12-01 Guido Montúfar , Nina Otter , Yuguang Wang

Graph neural networks have become the default choice by practitioners for graph learning tasks such as graph classification and node classification. Nevertheless, popular graph neural network models still struggle to capture higher-order…

Machine Learning · Computer Science 2024-11-27 Davide Buffelli , Farzin Soleymani , Bastian Rieck

The aim of this research is to study XRP cryptoasset price dynamics, with a particular focus on forecasting atypical price movements. Recent studies suggest that topological properties of transaction graphs are highly informative for…

Statistical Finance · Quantitative Finance 2026-03-23 Illia Donhauzer , Pierluigi Cesana , Tomoyuki Shirai , Yuichi Ikeda

The importance of considering related stocks data for the prediction of stock price movement has been shown in many studies, however, advanced graphical techniques for modeling, embedding and analyzing the behavior of interrelated stocks…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Alireza Jafari , Saman Haratizadeh

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can be expensive from a computational perspective. In industrial…

Machine Learning · Statistics 2021-05-11 Théo Lacombe , Yuichi Ike , Mathieu Carriere , Frédéric Chazal , Marc Glisse , Yuhei Umeda

Many optimization, inference and learning tasks can be accomplished efficiently by means of decentralized processing algorithms where the network topology (i.e., the graph) plays a critical role in enabling the interactions among…

Multiagent Systems · Computer Science 2020-08-06 Vincenzo Matta , Augusto Santos , Ali H. Sayed

In e-commerce industry, graph neural network methods are the new trends for transaction risk modeling.The power of graph algorithms lie in the capability to catch transaction linking network information, which is very hard to be captured by…

Machine Learning · Computer Science 2022-10-14 Hang Yin , Zitao Zhang , Zhurong Wang , Yilmazcan Ozyurt , Weiming Liang , Wenyu Dong , Yang Zhao , Yinan Shan

Cryptocurrencies such as Bitcoin are realized using distributed systems and hence critically rely on the performance and security of the interconnecting network. The requirements on these networks and their usage, however can differ…

Networking and Internet Architecture · Computer Science 2020-08-20 Maya Dotan , Yvonne-Anne Pignolet , Stefan Schmid , Saar Tochner , Aviv Zohar