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Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

Nearest neighbor search is known as a challenging issue that has been studied for several decades. Recently, this issue becomes more and more imminent in viewing that the big data problem arises from various fields. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Wan-Lei Zhao , Jie Yang , Cheng-Hao Deng

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

One of the classical problems in machine learning and data mining is feature selection. A feature selection algorithm is expected to be quick, and at the same time it should show high performance. MeLiF algorithm effectively solves this…

Machine Learning · Computer Science 2016-11-08 Ivan Smetannikov , Ilya Isaev , Andrey Filchenkov

This paper draws a parallel between similarity-based categorisation models developed in cognitive psychology and the nearest neighbour classifier (1-NN) in machine learning. Conceived as a result of the historical rivalry between prototype…

Artificial Intelligence · Computer Science 2018-06-05 Julian Zubek , Ludmila Kuncheva

Nearest neighbor search is a problem of finding the data points from the database such that the distances from them to the query point are the smallest. Learning to hash is one of the major solutions to this problem and has been widely…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Jingdong Wang , Ting Zhang , Jingkuan Song , Nicu Sebe , Heng Tao Shen

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Retrieval augmented methods have shown promising results in various classification tasks. However, existing methods focus on retrieving extra context to enrich the input, which is noise sensitive and non-expandable. In this paper, following…

Computation and Language · Computer Science 2023-04-12 Xinnian Liang , Shuangzhi Wu , Hui Huang , Jiaqi Bai , Chao Bian , Zhoujun Li

The linear ordering problem (LOP), which consists in ordering M objects from their pairwise comparisons, is commonly applied in many areas of research. While efforts have been made to devise efficient LOP algorithms, verification of whether…

Machine Learning · Computer Science 2023-05-23 Leszek Szczecinski , Harsh Sukheja

In collaborative filtering, distance metric learning has been applied to matrix factorization techniques with promising results. However, matrix factorization lacks the ability of capturing collaborative information, which has been remarked…

Information Retrieval · Computer Science 2023-04-18 Tianjun Wei , Jianghong Ma , Tommy W. S. Chow

Clustering algorithms aim to organize data into groups or clusters based on the inherent patterns and similarities within the data. They play an important role in today's life, such as in marketing and e-commerce, healthcare, data…

Machine Learning · Computer Science 2024-01-17 Hui Yin , Amir Aryani , Stephen Petrie , Aishwarya Nambissan , Aland Astudillo , Shengyuan Cao

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

The Transductive Confidence Machine Nearest Neighbours (TCMNN) algorithm and a supporting, simple user interface was developed. Different settings of the TCMNN algorithms' parameters were tested on medical data sets, in addition to the use…

Machine Learning · Computer Science 2024-05-28 David Lindsay

Classifying the training data correctly without over-fitting is one of the goals in machine learning. In this paper, we propose a generalization-memorization mechanism, including a generalization-memorization decision and a memory modeling…

Machine Learning · Computer Science 2024-04-09 Zhen Wang , Yuan-Hai Shao

Suppose $V$ is an $n$-element set where for each $x \in V$, the elements of $V \setminus \{x\}$ are ranked by their similarity to $x$. The $K$-nearest neighbor graph is a directed graph including an arc from each $x$ to the $K$ points of $V…

Combinatorics · Mathematics 2020-12-29 Jacob D. Baron , R. W. R. Darling

Recent advancements in semi-supervised deep learning have introduced effective strategies for leveraging both labeled and unlabeled data to improve classification performance. This work proposes a semi-supervised framework that utilizes a…

Machine Learning · Computer Science 2025-05-21 Aydin Abedinia , Shima Tabakhi , Vahid Seydi

This paper addresses the problem of approximate MAP-MRF inference in general graphical models. Following [36], we consider a family of linear programming relaxations of the problem where each relaxation is specified by a set of nested pairs…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Vladimir Kolmogorov , Thomas Schoenemann

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

Machine Learning · Computer Science 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

The need for appropriate ways to measure the distance or similarity between data is ubiquitous in machine learning, pattern recognition and data mining, but handcrafting such good metrics for specific problems is generally difficult. This…

Machine Learning · Computer Science 2019-01-25 Aurélien Bellet , Amaury Habrard , Marc Sebban

Multi-label classification aims to classify instances with discrete non-exclusive labels. Most approaches on multi-label classification focus on effective adaptation or transformation of existing binary and multi-class learning approaches…

Machine Learning · Computer Science 2019-01-03 Piotr Szymański , Tomasz Kajdanowicz , Nitesh Chawla