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We consider a novel clustering task in which clusters can have compositional relationships, e.g., one cluster contains images of rectangles, one contains images of circles, and a third (compositional) cluster contains images with both…

机器学习 · 计算机科学 2023-08-04 Zeqian Li , Xinlu He , Jacob Whitehill

In data dominated systems and applications, a concept of representing words in a numerical format has gained a lot of attention. There are a few approaches used to generate such a representation. An interesting issue that should be…

计算与语言 · 计算机科学 2020-12-08 Shahin Atakishiyev , Marek Z. Reformat

Machine learning systems increasingly depend on pipelines of multiple algorithms to provide high quality and well structured predictions. This paper argues interaction effects between clustering and prediction (e.g. classification,…

机器学习 · 统计学 2019-01-01 Matt Barnes , Artur Dubrawski

The determination of cluster centers generally depends on the scale that we use to analyze the data to be clustered. Inappropriate scale usually leads to unreasonable cluster centers and thus unreasonable results. In this study, we first…

机器学习 · 统计学 2016-10-20 Xiurui Geng , Hairong Tang

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

Given an involutive automorphism $\theta$ of a Coxeter system $(W,S)$, let $\mathfrak{I}(\theta) \subseteq W$ denote the set of twisted involutions. We provide a minimal set of moves that can be added to the braid moves, in order to connect…

组合数学 · 数学 2017-04-28 Mikael Hansson , Axel Hultman

A theoretical framework is proposed for the understanding of verbal perception -- the conversion of words into meaning, modeled as a compromise between lexical demands and contextual constraints -- and the theory is tested against…

神经元与认知 · 定量生物学 2016-09-19 Francesco Fumarola

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Given a string of characters, the Burrows-Wheeler Transform rearranges the characters in it so as to produce another string of the same length which is more amenable to compression techniques such as move to front, run-length encoding, and…

数据结构与算法 · 计算机科学 2012-01-17 Joseph Yossi Gil , David Allen Scott

A huge number of multi-participant dialogues happen online every day, which leads to difficulty in understanding the nature of dialogue dynamics for both humans and machines. Dialogue disentanglement aims at separating an entangled dialogue…

计算与语言 · 计算机科学 2023-02-17 Jingsheng Gao , Zeyu Li , Suncheng Xiang , Ting Liu , Yuzhuo Fu

We investigate how knowledge percolates and clusters in a given knowledge space. We introduce a simple model of knowledge organization in which each contribution spans a certain number of items. If this contribution overlaps with others…

物理与社会 · 物理学 2025-12-04 Franco Bagnoli , Guido de Bonfioli Cavalcabo'

We present an algorithm of clustering of many-dimensional objects, where only the distances between objects are used. Centers of classes are found with the aid of neuron-like procedure with lateral inhibition. The result of clustering does…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Leonid B. Litinskii , Dmitry E. Romanov

We introduce a family of modules, called Markoff modules, generated by a cluster-mutation-like iterative process. We show that these modules are combinatorially similar to Christoffel words. Furthermore, we construct a bijective map between…

表示论 · 数学 2011-11-15 Alex Lasnier

In this paper we study the number $r_{bwt}$ of equal-letter runs produced by the Burrows-Wheeler transform ($BWT$) when it is applied to purely morphic finite words, which are words generated by iterating prolongable morphisms. Such a…

形式语言与自动机理论 · 计算机科学 2022-02-08 Andrea Frosini , Ilaria Mancini , Simone Rinaldi , Giuseppe Romana , Marinella Sciortino

Human mobility clustering is an important problem for understanding human mobility behaviors (e.g., work and school commutes). Existing methods typically contain two steps: choosing or learning a mobility representation and applying a…

机器学习 · 计算机科学 2023-01-23 Haoji Hu , Haowen Lin , Yao-Yi Chiang

Speaker clustering is the task of differentiating speakers in a recording. In a way, the aim is to answer "who spoke when" in audio recordings. A common method used in industry is feature extraction directly from the recording thanks to…

声音 · 计算机科学 2018-03-23 Maxime Jumelle , Taqiyeddine Sakmeche

Word sense induction (WSI) is the problem of grouping occurrences of an ambiguous word according to the expressed sense of this word. Recently a new approach to this task was proposed, which generates possible substitutes for the ambiguous…

计算与语言 · 计算机科学 2020-06-24 Nikolay Arefyev , Boris Sheludko , Tatiana Aleksashina

We study hierarchical clusterings of metric spaces that change over time. This is a natural geometric primitive for the analysis of dynamic data sets. Specifically, we introduce and study the problem of finding a temporally coherent…

数据结构与算法 · 计算机科学 2017-10-23 Tamal K. Dey , Alfred Rossi , Anastasios Sidiropoulos

Many of the kinds of language model used in speech understanding suffer from imperfect modeling of intra-sentential contextual influences. I argue that this problem can be addressed by clustering the sentences in a training corpus…

cmp-lg · 计算机科学 2008-02-03 David Carter

Large Language Models achieve next-token prediction by transporting a vectorized piece of text (prompt) across an accompanying embedding space under the action of successive transformer layers. The resulting high-dimensional trajectories…

机器学习 · 计算机科学 2025-02-17 Raphaël Sarfati , Toni J. B. Liu , Nicolas Boullé , Christopher J. Earls