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Motivated by extracting and summarizing relevant information in short sentence settings, such as satisfaction questionnaires, hotel reviews, and X/Twitter, we study the problem of clustering words in a hierarchical fashion. In particular,…

机器学习 · 计算机科学 2023-12-08 Eliabelle Mauduit , Andrea Simonetto

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

数据结构与算法 · 计算机科学 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of…

机器学习 · 统计学 2014-04-15 Omur Arslan , Daniel E. Koditschek

Hierarchical clustering is a popular method for analyzing data which associates a tree to a dataset. Hartigan consistency has been used extensively as a framework to analyze such clustering algorithms from a statistical point of view.…

机器学习 · 统计学 2015-07-14 Justin Eldridge , Mikhail Belkin , Yusu Wang

Matrices are two-dimensional data structures allowing one to conceptually organize information. For example, adjacency matrices are useful to store the links of a network; correlation matrices are simple ways to arrange gene co-expression…

无序系统与神经网络 · 物理学 2022-09-29 Flaviano Morone

Clustering can be used to extract insights from data or to verify some of the assumptions held by the domain experts, namely data segmentation. In the literature, few methods can be applied in clustering qualitative values using the context…

机器学习 · 计算机科学 2020-07-07 Diogo Seca , João Mendes-Moreira , Tiago Mendes-Neves , Ricardo Sousa

In order to learn quickly with few samples, meta-learning utilizes prior knowledge learned from previous tasks. However, a critical challenge in meta-learning is task uncertainty and heterogeneity, which can not be handled via globally…

机器学习 · 计算机科学 2019-11-19 Huaxiu Yao , Ying Wei , Junzhou Huang , Zhenhui Li

Clustering, a fundamental task in data science and machine learning, groups a set of objects in such a way that objects in the same cluster are closer to each other than to those in other clusters. In this paper, we consider a well-known…

计算几何 · 计算机科学 2018-11-07 Georgia Avarikioti , Alain Ryser , Yuyi Wang , Roger Wattenhofer

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

机器学习 · 计算机科学 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

Learning to hash is an efficient paradigm for exact and approximate nearest neighbor search from massive databases. Binary hash codes are typically extracted from an image by rounding output features from a CNN, which is trained on a…

机器学习 · 计算机科学 2020-05-12 Heikki Arponen , Tom E. Bishop

Hierarchical Agglomerative Clustering (HAC) is an extensively studied and widely used method for hierarchical clustering in $\mathbb{R}^k$ based on repeatedly merging the closest pair of clusters according to an input linkage function $d$.…

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

数据结构与算法 · 计算机科学 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

We revisit the simultaneous approximation model for the correlation clustering problem introduced by Davies, Moseley, and Newman[DMN24]. The objective is to find a clustering that minimizes given norms of the disagreement vector over all…

数据结构与算法 · 计算机科学 2024-10-23 Nairen Cao , Shi Li , Jia Ye

Identifying clusters of similar elements in a set is a common task in data analysis. With the immense growth of data and physical limitations on single processor speed, it is necessary to find efficient parallel algorithms for clustering…

分布式、并行与集群计算 · 计算机科学 2021-08-09 Mélanie Cambus , Davin Choo , Havu Miikonen , Jara Uitto

Dasgupta recently introduced a cost function for the hierarchical clustering of a set of points given pairwise similarities between them. He showed that this function is NP-hard to optimize, but a top-down recursive partitioning heuristic…

数据结构与算法 · 计算机科学 2016-10-03 Moses Charikar , Vaggos Chatziafratis

Graph edit distance / similarity is widely used in many tasks, such as graph similarity search, binary function analysis, and graph clustering. However, computing the exact graph edit distance (GED) or maximum common subgraph (MCS) between…

数据库 · 计算机科学 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

Given a set $F$ of $n$ positive functions over a ground set $X$, we consider the problem of computing $x^*$ that minimizes the expression $\sum_{f\in F}f(x)$, over $x\in X$. A typical application is \emph{shape fitting}, where we wish to…

机器学习 · 计算机科学 2016-05-31 Dan Feldman , Michael Langberg

Deep clustering has been dominated by flat models, which split a dataset into a predefined number of groups. Although recent methods achieve an extremely high similarity with the ground truth on popular benchmarks, the information contained…

机器学习 · 计算机科学 2023-06-22 Michał Znaleźniak , Przemysław Rola , Patryk Kaszuba , Jacek Tabor , Marek Śmieja

Learning positional information of nodes in a graph is important for link prediction tasks. We propose a representation of positional information using representative nodes called landmarks. A small number of nodes with high degree…

人工智能 · 计算机科学 2024-04-22 Minsang Kim , Seungjun Baek

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas