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In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure. We recommend a simple variant of the standard algorithm, in which clusters are merged by…

Machine Learning · Statistics 2024-03-04 Annie Gray , Alexander Modell , Patrick Rubin-Delanchy , Nick Whiteley

A coreset is a small set that can approximately preserve the structure of the original input data set. Therefore we can run our algorithm on a coreset so as to reduce the total computational complexity. Conventional coreset techniques…

Machine Learning · Computer Science 2022-10-11 Jiaxiang Chen , Qingyuan Yang , Ruomin Huang , Hu Ding

Many industries rely on visual insights to support decision- making processes in their businesses. In mining, the analysis of drills and geological shapes, represented as 3D geometries, is an important tool to assist geologists on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-30 Lucas C. Villa Real , Bruno Silva

Although spatial indexes shorten the query response time, they rely on complex tree structures to narrow down the search space. Such structures in turn yield additional storage overhead and take a toll on index maintenance. Recently, there…

Databases · Computer Science 2023-09-15 Congying Wang , Jia Yu , Zhuoyue Zhao

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

Recent studies show increasing demands and interests in automatically generating layouts, while there is still much room for improving the plausibility and robustness. In this paper, we present a data-driven layout framework without model…

Graphics · Computer Science 2021-01-11 Shao-Kui Zhang , Wei-Yu Xie , Song-Hai Zhang

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

Recent advances have demonstrated the effectiveness of graph-based learning on relational databases (RDBs) for predictive tasks. Such approaches require transforming RDBs into graphs, a process we refer to as RDB-to-graph modeling, where…

Machine Learning · Computer Science 2025-10-29 Dongwon Choi , Sunwoo Kim , Juyeon Kim , Kyungho Kim , Geon Lee , Shinhwan Kang , Myunghwan Kim , Kijung Shin

Joins are among the most time-consuming and data-intensive operations in relational query processing. Much research effort has been applied to the optimization of join processing due to their frequent execution. Recent studies have shown…

Databases · Computer Science 2025-05-26 Yuvaraj Chesetti , Prashant Pandey

Random dimensionality reduction is a versatile tool for speeding up algorithms for high-dimensional problems. We study its application to two clustering problems: the facility location problem, and the single-linkage hierarchical clustering…

Data Structures and Algorithms · Computer Science 2021-07-06 Shyam Narayanan , Sandeep Silwal , Piotr Indyk , Or Zamir

Performing efficient inference on Bayesian Networks (BNs), with large numbers of densely connected variables is challenging. With exact inference methods, such as the Junction Tree algorithm, clustering complexity can grow exponentially…

Artificial Intelligence · Computer Science 2016-02-08 Peng Lin , Martin Neil , Norman Fenton

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

Databases · Computer Science 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao

Databases employ indexes to filter out irrelevant records, which reduces scan overhead and speeds up query execution. However, this optimization is only available to queries that filter on the indexed attribute. To extend these speedups to…

Databases · Computer Science 2020-12-15 Vikram Nathan , Jialin Ding , Tim Kraska , Mohammad Alizadeh

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

Information Theory · Computer Science 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

Search trees on trees (STTs) generalize the fundamental binary search tree (BST) data structure: in STTs the underlying search space is an arbitrary tree, whereas in BSTs it is a path. An optimal BST of size $n$ can be computed for a given…

Data Structures and Algorithms · Computer Science 2022-09-19 Benjamin Aram Berendsohn , Ishay Golinsky , Haim Kaplan , László Kozma

Unstructured data is pervasive, but analytical queries demand structured representations, creating a significant extraction challenge. Existing methods like RAG lack schema awareness and struggle with cross-document alignment, leading to…

Databases · Computer Science 2025-11-05 Daren Chao , Kaiwen Chen , Naiqing Guan , Nick Koudas

Deep Neural Networks achieve state-of-the-art results in many different problem settings by exploiting vast amounts of training data. However, collecting, storing and - in the case of supervised learning - labelling the data is expensive…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Matthias Rath , Alexandru Paul Condurache

As individual traffic and public transport in cities are changing, city authorities need to analyze urban geospatial data to improve transportation and infrastructure. To that end, they highly rely on spatial aggregation queries that…

Sampling-based motion-planning algorithms typically rely on nearest-neighbor (NN) queries when constructing a roadmap. Recent results suggest that in various settings NN queries may be the computational bottleneck of such algorithms.…

Robotics · Computer Science 2014-09-30 Michal Kleinbort , Oren Salzman , Dan Halperin
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