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Many bipartite networks describe systems where an edge represents a relation between a user and an item. Measuring the similarity between either users or items is the basis of memory-based collaborative filtering, a widely used method to…

Information Retrieval · Computer Science 2023-05-09 Giambattista Albora , Lavinia Rossi-Mori , Andrea Zaccaria

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Graph embeddings are low dimensional representations of nodes, edges or whole graphs. Such representations allow for data in a network format to be used along with machine learning models for a variety of tasks (e.g., node classification),…

Social and Information Networks · Computer Science 2021-02-24 Kaléu Delphino

Recently authors have introduced the idea of training discrete weights neural networks using a mix between classical simulated annealing and a replica ansatz known from the statistical physics literature. Among other points, they claim…

Machine Learning · Computer Science 2021-03-17 Vincent Gripon , Matthias Löwe , Franck Vermet

Cosine similarity is a widely used measure of the relatedness of pre-trained word embeddings, trained on a language modeling goal. Datasets such as WordSim-353 and SimLex-999 rate how similar words are according to human annotators, and as…

Computation and Language · Computer Science 2022-03-30 Isa M. Apallius de Vos , Ghislaine L. van den Boogerd , Mara D. Fennema , Adriana D. Correia

We introduce a framework for network analysis based on random walks on directed acyclic graphs where the probability of passing through a given node is the key ingredient. We illustrate its use in evaluating the mutual influence of nodes…

Physics and Society · Physics 2011-10-10 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

We present SimLex-999, a gold standard resource for evaluating distributional semantic models that improves on existing resources in several important ways. First, in contrast to gold standards such as WordSim-353 and MEN, it explicitly…

Computation and Language · Computer Science 2014-08-18 Felix Hill , Roi Reichart , Anna Korhonen

We propose a neural network-based approach that computes a stable and generalizing metric (LSiM) to compare data from a variety of numerical simulation sources. We focus on scalar time-dependent 2D data that commonly arises from motion and…

Machine Learning · Computer Science 2021-01-29 Georg Kohl , Kiwon Um , Nils Thuerey

This paper focuses on the comparison of networks on the basis of statistical inference. For that purpose, we rely on smooth graphon models as a nonparametric modeling strategy that is able to capture complex structural patterns. The graphon…

Methodology · Statistics 2025-05-21 Benjamin Sischka , Göran Kauermann

Sequential Recommender Systems (SRSs) have emerged as a highly efficient approach to recommendation systems. By leveraging sequential data, SRSs can identify temporal patterns in user behaviour, significantly improving recommendation…

The performance of many machine learning techniques depends on the choice of an appropriate similarity or distance measure on the input space. Similarity learning (or metric learning) aims at building such a measure from training data so…

Machine Learning · Statistics 2019-01-25 Robin Vogel , Aurélien Bellet , Stéphan Clémençon

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

Methodology · Statistics 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

The literature in social network analysis has largely focused on methods and models which require complete network data; however there exist many networks which can only be studied via sampling methods due to the scale or complexity of the…

Applications · Statistics 2019-11-25 Haema Nilakanta , Zack W. Almquist , Galin L. Jones

We consider the problem of classification using similarity/distance functions over data. Specifically, we propose a framework for defining the goodness of a (dis)similarity function with respect to a given learning task and propose…

Machine Learning · Computer Science 2015-03-19 Purushottam Kar , Prateek Jain

Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis…

Methodology · Statistics 2024-10-29 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

Fully nonparametric methods for regression from functional data have poor accuracy from a statistical viewpoint, reflecting the fact that their convergence rates are slower than nonparametric rates for the estimation of high-dimensional…

Statistics Theory · Mathematics 2012-11-22 Dong Chen , Peter Hall , Hans-Georg Müller

Human perception of similarity across uni- and multimodal inputs is highly complex, making it challenging to develop automated metrics that accurately mimic it. General purpose vision-language models, such as CLIP and large multi-modal…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Sara Ghazanfari , Siddharth Garg , Nicolas Flammarion , Prashanth Krishnamurthy , Farshad Khorrami , Francesco Croce

Network node similarity measure has been paid particular attention in the field of statistical physics. In this paper, we utilize the concept of information and information loss to measure the node similarity. The whole model is based on…

Physics and Society · Physics 2014-03-19 Yongli Li , Peng Luo , Chong Wu

Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning of individual units may be important, there has…

Machine Learning · Computer Science 2023-11-17 Meenakshi Khosla , Alex H. Williams

Cosine similarity has become a standard metric for comparing embeddings in modern machine learning. Its scale-invariance and alignment with model training objectives have contributed to its widespread adoption. However, recent studies have…

Machine Learning · Computer Science 2025-05-21 Kisung You