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The following paper presents a method of comparing two sets of vectors. The method can be applied in all tasks, where it is necessary to measure the closeness of two objects presented as sets of vectors. It may be applicable when we compare…

Machine Learning · Computer Science 2019-08-30 Artem Artemov , Boris Alekseev

A common goal in observational research is to estimate marginal causal effects in the presence of confounding variables. One solution to this problem is to use the covariate distribution to weight the outcomes such that the data appear…

Methodology · Statistics 2020-08-18 Kevin P. Josey , Elizabeth Juarez-Colunga , Fan Yang , Debashis Ghosh

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

A new class of distances appropriate for measuring similarity relations between sequences, say one type of similarity per distance, is studied. We propose a new ``normalized information distance'', based on the noncomputable notion of…

Computational Complexity · Computer Science 2011-11-09 Ming Li , Xin Chen , Xin Li , Bin Ma , Paul Vitanyi

An appropriate distance metric is crucial for categorical data clustering, as the distance between categorical data cannot be directly calculated. However, the distances between attribute values usually vary in different clusters induced by…

Machine Learning · Computer Science 2026-03-09 Taixi Chen , Yiu-ming Cheung , Yiqun Zhang

Transformer models learn to encode and decode an input text, and produce contextual token embeddings as a side-effect. The mapping from language into the embedding space maps words expressing similar concepts onto points that are close in…

Computation and Language · Computer Science 2025-09-03 Vivi Nastase , Paola Merlo

Distance-based unsupervised text classification is a method within text classification that leverages the semantic similarity between a label and a text to determine label relevance. This method provides numerous benefits, including fast…

Computation and Language · Computer Science 2025-10-14 Jens Van Nooten , Andriy Kosar , Guy De Pauw , Walter Daelemans

Incorrect information poses significant challenges by disrupting content veracity and integrity, yet most detection approaches struggle to jointly balance textual content verification with external knowledge modification under collapsed…

Computation and Language · Computer Science 2026-05-06 Zhongxing Zhang , Emily K. Vraga , Jisu Huh , Jaideep Srivastava

Several measures exist for string similarity, including notable ones like the edit distance and the indel distance. The former measures the count of insertions, deletions, and substitutions required to transform one string into another,…

Data Structures and Algorithms · Computer Science 2024-10-15 Sudatta Bhattacharya , Sanjana Dey , Elazar Goldenberg , Michal Koucký

The word mover's distance (WMD) is a popular semantic similarity metric for two texts. This position paper studies several possible extensions of WMD. We experiment with the frequency of words in the corpus as a weighting factor and the…

Computation and Language · Computer Science 2022-02-09 Ilya Smirnov , Ivan P. Yamshchikov

Existing conversational search systems can synthesize information into responses, but they lack principled ways to adapt response formats to users' cognitive states. This paper investigates whether aligning format and distance, which…

Human-Computer Interaction · Computer Science 2026-01-21 Yitian Yang , Yugin Tan , Jung-Tai King , Yang Chen Lin , Yi-Chieh Lee

Approximate Bayesian computation performs approximate inference for models where likelihood computations are expensive or impossible. Instead simulations from the model are performed for various parameter values and accepted if they are…

Computation · Statistics 2015-12-16 Dennis Prangle

Comparative visualization of scalar fields is often facilitated using similarity measures such as edit distances. In this paper, we describe a novel approach for similarity analysis of scalar fields that combines two recently introduced…

Graphics · Computer Science 2024-02-20 Florian Wetzels , Mathieu Pont , Julien Tierny , Christoph Garth

This paper computationally obtains optimal bounded-weight, binary, error-correcting codes for a variety of distance bounds and dimensions. We compare the sizes of our codes to the sizes of optimal constant-weight, binary, error-correcting…

Information Theory · Computer Science 2007-10-15 Russell Bent , Michael Schear , Lane A. Hemaspaandra , Gabriel Istrate

I present a framework based on the concepts of diversity and coherence for the analysis of knowledge integration and diffusion. Visualisations that help understand insights gained are also introduced. The key novelty offered by this…

Physics and Society · Physics 2014-12-23 Ismael Rafols

The focus of this paper is the calculation of similarity between two concepts from an ontology for a Human-Like Interaction system. In order to facilitate this calculation, a similarity function is proposed based on five dimensions (sort,…

Artificial Intelligence · Computer Science 2014-01-21 Esperanza Albacete , Javier Calle , Elena Castro , Dolores Cuadra

We present a new scientific document similarity model based on matching fine-grained aspects of texts. To train our model, we exploit a naturally-occurring source of supervision: sentences in the full-text of papers that cite multiple…

Computation and Language · Computer Science 2022-05-05 Sheshera Mysore , Arman Cohan , Tom Hope

We introduce a differential visual similarity metric to train deep neural networks for 3D reconstruction, aimed at improving reconstruction quality. The metric compares two 3D shapes by measuring distances between multi-view images…

Graphics · Computer Science 2020-04-02 Jiongchao Jin , Akshay Gadi Patil , Zhang Xiong , Hao Zhang

It is well-understood that different algorithms, training processes, and corpora produce different word embeddings. However, less is known about the relation between different embedding spaces, i.e. how far different sets of embeddings…

Computation and Language · Computer Science 2020-05-19 Xuhui Zhou , Zaixiang Zheng , Shujian Huang

Barycentric averaging is a principled way of summarizing populations of measures. Existing algorithms for estimating barycenters typically parametrize them as weighted sums of Diracs and optimize their weights and/or locations. However,…

Machine Learning · Statistics 2021-02-16 Samuel Cohen , Michael Arbel , Marc Peter Deisenroth