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Learning workable representations of dynamical systems is becoming an increasingly important problem in a number of application areas. By leveraging recent work connecting deep neural networks to systems of differential equations, we…

Machine Learning · Statistics 2020-03-03 Steindor Saemundsson , Alexander Terenin , Katja Hofmann , Marc Peter Deisenroth

Network embedding aims to learn a latent, low-dimensional vector representations of network nodes, effective in supporting various network analytic tasks. While prior arts on network embedding focus primarily on preserving network topology…

Social and Information Networks · Computer Science 2019-05-21 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Finding a reduction of complex, high-dimensional dynamics to its essential, low-dimensional "heart" remains a challenging yet necessary prerequisite for designing efficient numerical approaches. Machine learning methods have the potential…

Dynamical Systems · Mathematics 2022-06-15 Przemyslaw Zielinski , Jan S. Hesthaven

Multilayer network analysis has become a vital tool for understanding different relationships and their interactions in a complex system, where each layer in a multilayer network depicts the topological structure of a group of nodes…

Social and Information Networks · Computer Science 2017-09-18 Weiyi Liu , Pin-Yu Chen , Sailung Yeung , Toyotaro Suzumura , Lingli Chen

Deep neural networks are powerful learning models that achieve state-of-the-art performance on many computer vision, speech, and language processing tasks. In this paper, we study a fundamental question that arises when designing deep…

Machine Learning · Statistics 2017-10-24 Shiva Prasad Kasiviswanathan , Nina Narodytska , Hongxia Jin

We explore a novel method to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. Evolution through local elementary moves allows the exploration of the ensemble of networks which share common…

Statistical Mechanics · Physics 2007-09-19 T. Aste , T. Di Matteo , S. T. Hyde

Deep learning has revolutionized many industries by enabling models to automatically learn complex patterns from raw data, reducing dependence on manual feature engineering. However, deep learning algorithms are sensitive to input data, and…

Machine Learning · Computer Science 2025-07-21 Mert Sehri , Zehui Hua , Francisco de Assis Boldt , Patrick Dumond

The task of link prediction for knowledge graphs is to predict missing relationships between entities. Knowledge graph embedding, which aims to represent entities and relations of a knowledge graph as low dimensional vectors in a continuous…

Artificial Intelligence · Computer Science 2022-04-26 Yanhui Peng , Jing Zhang

Working memory is a cognitive function involving the storage and manipulation of latent information over brief intervals of time, thus making it crucial for context-dependent computation. Here, we use a top-down modeling approach to examine…

Neurons and Cognition · Quantitative Biology 2021-11-17 Elham Ghazizadeh , ShiNung Ching

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

Network embedding techniques aim at representing structural properties of graphs in geometric space. Those representations are considered useful in downstream tasks such as link prediction and clustering. However, the number of graph…

Physics and Society · Physics 2021-11-03 Yi-Jiao Zhang , Kai-Cheng Yang , Filippo Radicchi

Textual network embedding leverages rich text information associated with the network to learn low-dimensional vectorial representations of vertices. Rather than using typical natural language processing (NLP) approaches, recent research…

Computation and Language · Computer Science 2019-01-15 Xinyuan Zhang , Yitong Li , Dinghan Shen , Lawrence Carin

Graph embedding is gaining its popularity for link prediction in complex networks and achieving excellent performance. However, limited work has been done in sparse networks that represent most of real networks. In this paper, we propose a…

Social and Information Networks · Computer Science 2021-04-22 Min-Ren Chen , Ping Huang , Yu Lin , Shi-Min Cai

Representing networks in a low dimensional latent space is a crucial task with many interesting applications in graph learning problems, such as link prediction and node classification. A widely applied network representation learning…

Machine Learning · Computer Science 2019-11-21 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Network embedding aims at projecting the network data into a low-dimensional feature space, where the nodes are represented as a unique feature vector and network structure can be effectively preserved. In recent years, more and more online…

Social and Information Networks · Computer Science 2017-11-28 Jiawei Zhang , Congying Xia , Chenwei Zhang , Limeng Cui , Yanjie Fu , Philip S. Yu

Predicting missing links in complex networks requires algorithms that are able to explore statistical regularities in the existing data. Here we investigate the interplay between algorithm efficiency and network structures through the…

Social and Information Networks · Computer Science 2025-02-14 Alexey Vlaskin , Eduardo G. Altmann

Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

Word embeddings are the interface between the world of discrete units of text processing and the continuous, differentiable world of neural networks. In this work, we examine various random and pretrained initialization methods for…

Computation and Language · Computer Science 2017-11-28 Tom Kocmi , Ondřej Bojar