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In recent years, non-parametric methods utilizing random walks on graphs have been used to solve a wide range of machine learning problems, but in their simplest form they do not scale well due to the quadratic complexity. In this paper, a…

Machine Learning · Computer Science 2012-10-19 Saeed Amizadeh , Bo Thiesson , Milos Hauskrecht

Data structures known as $k$-d trees have numerous applications in scientific computing, particularly in areas of modern statistics and data science such as range search in decision trees, clustering, nearest neighbors search, local…

Data Structures and Algorithms · Computer Science 2022-01-21 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

Information retrieval is a core component of many intelligent systems as it enables conditioning of outputs on new and large-scale datasets. While effective, the standard practice of encoding data into high-dimensional representations for…

Information Retrieval · Computer Science 2026-02-16 Shubham Gupta , Zichao Li , Tianyi Chen , Cem Subakan , Siva Reddy , Perouz Taslakian , Valentina Zantedeschi

Document retrieval is one of the best established information retrieval activities since the sixties, pervading all search engines. Its aim is to obtain, from a collection of text documents, those most relevant to a pattern query. Current…

Information Retrieval · Computer Science 2013-10-01 Gonzalo Navarro

This paper revisits cluster-based retrieval that partitions the inverted index into multiple groups and skips the index partially at cluster and document levels during online inference using a learned sparse representation. It proposes an…

Information Retrieval · Computer Science 2024-04-16 Yifan Qiao , Shanxiu He , Yingrui Yang , Parker Carlson , Tao Yang

Recent studies have shown that Dense Retrieval (DR) techniques can significantly improve the performance of first-stage retrieval in IR systems. Despite its empirical effectiveness, the application of DR is still limited. In contrast to…

Information Retrieval · Computer Science 2023-04-27 Haitao Li , Qingyao Ai , Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Zheng Liu , Zhao Cao

Large Language Models (LLMs) have significantly impacted many facets of natural language processing and information retrieval. Unlike previous encoder-based approaches, the enlarged context window of these generative models allows for…

Information Retrieval · Computer Science 2024-05-24 Andrew Parry , Sean MacAvaney , Debasis Ganguly

Random forests are ensemble methods which grow trees as base learners and combine their predictions by averaging. Random forests are known for their good practical performance, particularly in high dimensional set-tings. On the theoretical…

Statistics Theory · Mathematics 2015-09-18 Erwan Scornet

Previously, we proposed a physically inspired rule to organize the data points in a sparse yet effective structure, called the in-tree (IT) graph, which is able to capture a wide class of underlying cluster structures in the datasets,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-22 Teng Qiu , Yongjie Li

Reverse search is a convenient method for enumerating structured objects, that can be used both to address theoretical issues and to solve data mining problems. This method has already been successfully developed to handle unordered trees.…

Discrete Mathematics · Computer Science 2022-05-13 Florian Ingels , Romain Azaïs

Retrieval-augmented language models can better adapt to changes in world state and incorporate long-tail knowledge. However, most existing methods retrieve only short contiguous chunks from a retrieval corpus, limiting holistic…

Computation and Language · Computer Science 2024-02-01 Parth Sarthi , Salman Abdullah , Aditi Tuli , Shubh Khanna , Anna Goldie , Christopher D. Manning

Clustering partitions a dataset such that observations placed together in a group are similar but different from those in other groups. Hierarchical and $K$-means clustering are two approaches but have different strengths and weaknesses.…

Machine Learning · Statistics 2017-12-27 Anna D. Peterson , Arka P. Ghosh , Ranjan Maitra

In many situations where the interest lies in identifying clusters one might expect that not all available variables carry information about these groups. Furthermore, data quality (e.g. outliers or missing entries) might present a serious…

Machine Learning · Statistics 2012-01-31 Yumi Kondo , Matias Salibian-Barrera , Ruben Zamar

A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

Combinatorics · Mathematics 2014-01-16 Daniel C. McDonald

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Data mining focuses on discovering interesting, non-trivial and meaningful information from large datasets. Data clustering is one of the unsupervised and descriptive data mining task which group data based on similarity features and…

Neural and Evolutionary Computing · Computer Science 2023-05-09 Pitawelayalage Dasun Dileepa Pitawela , Gamage Upeksha Ganegoda

With the popularity of mobile devices and the development of geo-positioning technology, location-based services (LBS) attract much attention and top-k spatial keyword queries become increasingly complex. It is common to see that clients…

Data Structures and Algorithms · Computer Science 2022-07-26 Xinshi Zang , Peiwen Hao , Xiaofeng Gao , Bin Yao , Guihai Chen

Clustering serves as a vital tool for uncovering latent data structures, and achieving both high accuracy and interpretability is essential. To this end, existing methods typically construct binary decision trees by solving mixed-integer…

Machine Learning · Computer Science 2026-02-17 Hayato Suzuki , Shunnosuke Ikeda , Yuichi Takano

An important way to make large training sets is to gather noisy labels from crowds of non experts. We propose a method to aggregate noisy labels collected from a crowd of workers or annotators. Eliciting labels is important in tasks such as…

Machine Learning · Computer Science 2016-11-18 Abhay Gupta