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Understanding the relation between deep and shallow neural networks is extremely important for the theoretical study of deep learning. In this work, we discover an embedding principle in depth that loss landscape of an NN "contains" all…

Machine Learning · Computer Science 2025-04-15 Zhiwei Bai , Tao Luo , Zhi-Qin John Xu , Yaoyu Zhang

Over the past years, embedding learning on networks has shown tremendous results in link prediction tasks for complex systems, with a wide range of real-life applications. Learning a representation for each node in a knowledge graph allows…

Machine Learning · Computer Science 2026-02-03 Orell Trautmann , Olaf Wolkenhauer , Clémence Réda

There are many real-world knowledge based networked systems with multi-type interacting entities that can be regarded as heterogeneous networks including human connections and biological evolutions. One of the main issues in such networks…

Social and Information Networks · Computer Science 2019-11-05 Soheila Molaei , Hadi Zare , Hadi Veisi

Deep Neural Networks (DNNs) are generated by sequentially performing linear and non-linear processes. Using a combination of linear and non-linear procedures is critical for generating a sufficiently deep feature space. The majority of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Yufei Hu , Nacim Belkhir , Jesus Angulo , Angela Yao , Gianni Franchi

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

Understanding the structure of loss landscape of deep neural networks (DNNs)is obviously important. In this work, we prove an embedding principle that the loss landscape of a DNN "contains" all the critical points of all the narrower DNNs.…

Machine Learning · Computer Science 2022-01-13 Yaoyu Zhang , Zhongwang Zhang , Tao Luo , Zhi-Qin John Xu

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

Social and Information Networks · Computer Science 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

Network Embeddings (NEs) map the nodes of a given network into $d$-dimensional Euclidean space $\mathbb{R}^d$. Ideally, this mapping is such that `similar' nodes are mapped onto nearby points, such that the NE can be used for purposes such…

Machine Learning · Statistics 2018-10-17 Bo Kang , Jefrey Lijffijt , Tijl De Bie

This paper proposes a method for learning joint embeddings of images and text using a two-branch neural network with multiple layers of linear projections followed by nonlinearities. The network is trained using a large margin objective…

Computer Vision and Pattern Recognition · Computer Science 2016-04-15 Liwei Wang , Yin Li , Svetlana Lazebnik

Network representation learning has traditionally been used to find lower dimensional vector representations of the nodes in a network. However, there are very important edge driven mining tasks of interest to the classical network analysis…

Social and Information Networks · Computer Science 2019-12-12 Sambaran Bandyopadhyay , Anirban Biswas , M. N. Murty , Ramasuri Narayanam

Patterns stored within pre-trained deep neural networks compose large and powerful descriptive languages that can be used for many different purposes. Typically, deep network representations are implemented within vector embedding spaces,…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Dario Garcia-Gasulla , Armand Vilalta , Ferran Parés , Jonatan Moreno , Eduard Ayguadé , Jesus Labarta , Ulises Cortés , Toyotaro Suzumura

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

We address the problem of learning a distributed representation of entities in a relational database using a low-dimensional embedding. Low-dimensional embeddings aim to encapsulate a concise vector representation for an underlying dataset…

Databases · Computer Science 2020-05-14 Siddhant Arora , Srikanta Bedathur

Over the past decade, knowledge graphs became popular for capturing structured domain knowledge. Relational learning models enable the prediction of missing links inside knowledge graphs. More specifically, latent distance approaches model…

Artificial Intelligence · Computer Science 2020-02-24 Afshin Sadeghi , Damien Graux , Hamed Shariat Yazdi , Jens Lehmann

Nodes in a multiplex network are connected by multiple types of relations. However, most existing network embedding methods assume that only a single type of relation exists between nodes. Even for those that consider the multiplexity of a…

Machine Learning · Computer Science 2020-03-31 Chanyoung Park , Donghyun Kim , Jiawei Han , Hwanjo Yu

Traditional network embedding primarily focuses on learning a continuous vector representation for each node, preserving network structure and/or node content information, such that off-the-shelf machine learning algorithms can be easily…

Social and Information Networks · Computer Science 2023-01-02 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Deep networks for image classification often rely more on texture information than object shape. While efforts have been made to make deep-models shape-aware, it is often difficult to make such models simple, interpretable, or rooted in…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Rajhans Singh , Ankita Shukla , Pavan Turaga

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…

Graph representation learning aims to effectively encode high-dimensional sparse graph-structured data into low-dimensional dense vectors, which is a fundamental task that has been widely studied in a range of fields, including machine…