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Vector representations of graphs and relational structures, whether hand-crafted feature vectors or learned representations, enable us to apply standard data analysis and machine learning techniques to the structures. A wide range of…

机器学习 · 计算机科学 2020-03-31 Martin Grohe

Graph embedding maps graph nodes to low-dimensional vectors, and is widely adopted in machine learning tasks. The increasing availability of billion-edge graphs underscores the importance of learning efficient and effective embeddings on…

分布式、并行与集群计算 · 计算机科学 2024-02-27 Peng Fang , Arijit Khan , Siqiang Luo , Fang Wang , Dan Feng , Zhenli Li , Wei Yin , Yuchao Cao

For sequence models with large vocabularies, a majority of network parameters lie in the input and output layers. In this work, we describe a new method, DeFINE, for learning deep token representations efficiently. Our architecture uses a…

计算与语言 · 计算机科学 2020-02-07 Sachin Mehta , Rik Koncel-Kedziorski , Mohammad Rastegari , Hannaneh Hajishirzi

Graph embeddings have emerged as a powerful tool for understanding the structure of graphs. Unlike classical spectral methods, recent methods such as DeepWalk, Node2Vec, etc. are based on solving nonlinear optimization problems on the…

机器学习 · 计算机科学 2024-10-29 Christopher Harker , Aditya Bhaskara

In this paper we perform a rigorous mathematical analysis of the word2vec model, especially when it is equipped with the Skip-gram learning scheme. Our goal is to explain how embeddings, that are now widely used in NLP (Natural Language…

统计金融 · 定量金融 2026-05-26 Mengda Li , Charles-Albert Lehalle

Graphs (networks) are ubiquitous and allow us to model entities (nodes) and the dependencies (edges) between them. Learning a useful feature representation from graph data lies at the heart and success of many machine learning tasks such as…

Node embedding methods map network nodes to low dimensional vectors that can be subsequently used in a variety of downstream prediction tasks. The popularity of these methods has grown significantly in recent years, yet, their robustness to…

机器学习 · 计算机科学 2022-12-01 Alexandru Mara , Jefrey Lijffijt , Stephan Günnemann , Tijl De Bie

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

机器学习 · 计算机科学 2023-03-07 Sarmad N. Mohammed , Semra Gündüç

Sparse matrix reordering can significantly reduce the fill-in during matrix factorization, thereby decreasing the computational and storage requirements in sparse matrix computations. Finding a minimal fill-in ordering is known to be an…

机器学习 · 计算机科学 2026-05-19 Ziwei Li , Tao Yuan , Shuzi Niu , Huiyuan Li

We present Submatrix-wise Vector Embedding Learner (Swivel), a method for generating low-dimensional feature embeddings from a feature co-occurrence matrix. Swivel performs approximate factorization of the point-wise mutual information…

计算与语言 · 计算机科学 2016-02-09 Noam Shazeer , Ryan Doherty , Colin Evans , Chris Waterson

Natural language processing models have attracted much interest in the deep learning community. This branch of study is composed of some applications such as machine translation, sentiment analysis, named entity recognition, question and…

计算与语言 · 计算机科学 2020-07-22 Flávio Santos , Hendrik Macedo , Thiago Bispo , Cleber Zanchettin

We study the problem of large-scale network embedding, which aims to learn low-dimensional latent representations for network mining applications. Recent research in the field of network embedding has led to significant progress such as…

社会与信息网络 · 计算机科学 2021-12-03 Junsheng Kong , Weizhao Li , Ben Liao , Jiezhong Qiu , Chang-Yu , Hsieh , Yi Cai , Jinhui Zhu , Shengyu Zhang

Successful machine learning on graphs or networks requires embeddings that not only represent nodes and edges as low-dimensional vectors but also preserve the graph structure. Established methods for generating embeddings require flexible…

机器学习 · 计算机科学 2026-04-13 Aishwarya Sarkar , Sayan Ghosh , Nathan R. Tallent , Ali Jannesari

The creation of social ties is largely determined by the entangled effects of people's similarities in terms of individual characters and friends. However, feature and structural characters of people usually appear to be correlated, making…

机器学习 · 计算机科学 2019-10-30 Sébastien Lerique , Jacob Levy Abitbol , Márton Karsai

Dynamic graphs arise in a plethora of practical scenarios such as social networks, communication networks, and financial transaction networks. Given a dynamic graph, it is fundamental and essential to learn a graph representation that is…

机器学习 · 计算机科学 2021-06-15 Menglin Yang , Ziqiao Meng , Irwin King

Efforts to understand the generalization mystery in deep learning have led to the belief that gradient-based optimization induces a form of implicit regularization, a bias towards models of low "complexity." We study the implicit…

机器学习 · 计算机科学 2019-10-29 Sanjeev Arora , Nadav Cohen , Wei Hu , Yuping Luo

Matrix factorization is at the heart of many machine learning algorithms, for example, dimensionality reduction (e.g. kernel PCA) or recommender systems relying on collaborative filtering. Understanding a singular value decomposition (SVD)…

机器学习 · 统计学 2019-01-11 Franziska Horn , Klaus-Robert Müller

We propose and evaluate new techniques for compressing and speeding up dense matrix multiplications as found in the fully connected and recurrent layers of neural networks for embedded large vocabulary continuous speech recognition (LVCSR).…

机器学习 · 计算机科学 2018-02-07 Markus Kliegl , Siddharth Goyal , Kexin Zhao , Kavya Srinet , Mohammad Shoeybi

Vector-based word representations help countless Natural Language Processing (NLP) tasks capture the language's semantic and syntactic regularities. In this paper, we present the characteristics of existing word embedding approaches and…

计算与语言 · 计算机科学 2024-03-05 Obaidullah Zaland , Muhammad Abulaish , Mohd. Fazil

Random walks find extensive application across various complex network domains, including embedding generation and link prediction. Despite the widespread utilization of random walks, the precise impact of distinct biases on embedding…

社会与信息网络 · 计算机科学 2023-08-08 Adilson Vital , Filipi N. Silva , Diego R. Amancio