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Clustering in high dimension spaces is a difficult task; the usual distance metrics may no longer be appropriate under the curse of dimensionality. Indeed, the choice of the metric is crucial, and it is highly dependent on the dataset…

Machine Learning · Computer Science 2023-02-14 Simo Alami. C , Rim Kaddah , Jesse Read

Entity Alignment (EA) aims to find equivalent entities between two Knowledge Graphs (KGs). While numerous neural EA models have been devised, they are mainly learned using labelled data only. In this work, we argue that different entities…

Computation and Language · Computer Science 2022-11-30 Bing Liu , Harrisen Scells , Wen Hua , Guido Zuccon , Genghong Zhao , Xia Zhang

We present a deep learning approach for learning the joint semantic embeddings of images and captions in a Euclidean space, such that the semantic similarity is approximated by the L2 distances in the embedding space. For that, we introduce…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Noam Malali , Yosi Keller

Learning low-dimensional numerical representations from symbolic data, e.g., embedding the nodes of a graph into a geometric space, is an important concept in machine learning. While embedding into Euclidean space is common, recent…

Machine Learning · Computer Science 2024-10-10 Thomas Bläsius , Jean-Pierre von der Heydt , Maximilian Katzmann , Nikolai Maas

We propose a new embedding method for a single vector and for a pair of vectors. This embedding method enables: a) efficient classification and regression of functions of single vectors; b) efficient approximation of distance functions; and…

Machine Learning · Computer Science 2016-08-09 Ofir Pele , Yakir Ben-Aliz

We introduce a method to provide vectorial representations of visual classification tasks which can be used to reason about the nature of those tasks and their relations. Given a dataset with ground-truth labels and a loss function defined…

In this research, we introduce the concept of "computational entanglement," a phenomenon observed in overparameterized feedforward linear networks that enables the network to achieve zero loss by fitting random noise, even on previously…

Machine Learning · Computer Science 2024-10-01 YenLung Lai , Xingbo Dong , Zhe Jin

Deep neural networks trained for classification have been found to learn powerful image representations, which are also often used for other tasks such as comparing images w.r.t. their visual similarity. However, visual similarity does not…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Björn Barz , Joachim Denzler

Learned vector representations of words are useful tools for many information retrieval and natural language processing tasks due to their ability to capture lexical semantics. However, while many such tasks involve or even rely on named…

Computation and Language · Computer Science 2020-02-13 Satya Almasian , Andreas Spitz , Michael Gertz

We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of $2$-metric space. We prove an embedding theorem giving sufficient conditions for an…

Category Theory · Mathematics 2015-11-06 Abdelkrim Aliouche , Carlos Simpson

A fundamental cognitive process is the ability to map value and identity onto objects as we learn about them. Exactly how such mental constructs emerge and what kind of space best embeds this mapping remains incompletely understood. Here we…

Neurons and Cognition · Quantitative Biology 2019-05-31 Evelyn Tang , Marcelo G. Mattar , Chad Giusti , Sharon L. Thompson-Schill , Danielle S. Bassett

Deep neural networks represent the gold standard for image classification. However, they usually need large amounts of data to reach superior performance. In this work, we focus on image classification problems with a few labeled examples…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Lorenzo Brigato , Luca Iocchi

In this research, we investigate methods for entity retrieval using graph embeddings. While various methods have been proposed over the years, most utilize a single graph embedding and entity linking approach. This hinders our understanding…

Information Retrieval · Computer Science 2025-06-05 Emma J. Gerritse , Faegheh Hasibi , Arjen P. de Vries

Word embeddings have gained significant attention as learnable representations of semantic relations between words, and have been shown to improve upon the results of traditional word representations. However, little effort has been devoted…

Information Retrieval · Computer Science 2019-05-23 Gloria Feher , Andreas Spitz , Michael Gertz

We propose a method that learns a discriminative yet semantic space for object categorization, where we also embed auxiliary semantic entities such as supercategories and attributes. Contrary to prior work which only utilized them as side…

Computer Vision and Pattern Recognition · Computer Science 2014-12-10 Sung Ju Hwang , Leonid Sigal

Distilling knowledge from a well-trained cumbersome network to a small one has recently become a new research topic, as lightweight neural networks with high performance are particularly in need in various resource-restricted systems. This…

Computation and Language · Computer Science 2016-07-26 Lili Mou , Ran Jia , Yan Xu , Ge Li , Lu Zhang , Zhi Jin

Global localisation from visual data is a challenging problem applicable to many robotics domains. Prior works have shown that neural networks can be trained to map images of an environment to absolute camera pose within that environment,…

Robotics · Computer Science 2024-01-03 Christopher J. Holder , Muhammad Shafique

Ensemble classifiers have been investigated by many in the artificial intelligence and machine learning community. Majority voting and weighted majority voting are two commonly used combination schemes in ensemble learning. However,…

Machine Learning · Computer Science 2021-06-17 Shengli Wu , Weimin Ding

A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODEs using dynamical systems theory and prove several results…

Dynamical Systems · Mathematics 2023-09-29 Christian Kuehn , Sara-Viola Kuntz

Structural network embedding is a crucial step in enabling effective downstream tasks for complex systems that aims to project a network into a lower-dimensional space while preserving similarities among nodes. We introduce a simple and…

Social and Information Networks · Computer Science 2024-12-23 Giuseppe Squillace , Mirco Tribastone , Max Tschaikowski , Andrea Vandin