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Machine learning (ML) applications have been thriving recently, largely attributed to the increasing availability of data. However, inconsistency and incomplete information are ubiquitous in real-world datasets, and their impact on ML…

Machine Learning · Computer Science 2020-05-13 Bojan Karlaš , Peng Li , Renzhi Wu , Nezihe Merve Gürel , Xu Chu , Wentao Wu , Ce Zhang

The Nearest subspace classifier (NSS) finds an estimation of the underlying subspace within each class and assigns data points to the class that corresponds to its nearest subspace. This paper mainly studies how well NSS can be generalized…

Machine Learning · Statistics 2015-01-27 Yi Wang

The problem of computing minimally sparse solutions of under-determined linear systems is $NP$ hard in general. Subsets with extra properties, may allow efficient algorithms, most notably problems with the restricted isometry property (RIP)…

Machine Learning · Computer Science 2023-02-07 G. Welper

This paper presents how to perform minimax optimal classification, regression, and density estimation based on fixed-$k$ nearest neighbor (NN) searches. We consider a distributed learning scenario, in which a massive dataset is split into…

Statistics Theory · Mathematics 2024-09-11 J. Jon Ryu , Young-Han Kim

Self-supervised learning algorithms based on instance discrimination train encoders to be invariant to pre-defined transformations of the same instance. While most methods treat different views of the same image as positives for a…

Computer Vision and Pattern Recognition · Computer Science 2021-10-08 Debidatta Dwibedi , Yusuf Aytar , Jonathan Tompson , Pierre Sermanet , Andrew Zisserman

Few-shot learning has attracted intensive research attention in recent years. Many methods have been proposed to generalize a model learned from provided base classes to novel classes, but no previous work studies how to select base…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Linjun Zhou , Peng Cui , Xu Jia , Shiqiang Yang , Qi Tian

The k-Nearest Neighbor (k-NN) classification algorithm is one of the most widely-used lazy classifiers because of its simplicity and ease of implementation. It is considered to be an effective classifier and has many applications. However,…

Machine Learning · Computer Science 2014-02-13 Stefanos Ougiaroglou , Georgios Evangelidis , Dimitris A. Dervos

When the competing classes in a classification problem are not of comparable size, many popular classifiers exhibit a bias towards larger classes, and the nearest neighbor classifier is no exception. To take care of this problem, we develop…

Methodology · Statistics 2023-11-02 Anvit Garg , Anil K. Ghosh , Soham Sarkar

When data is of an extraordinarily large size or physically stored in different locations, the distributed nearest neighbor (NN) classifier is an attractive tool for classification. We propose a novel distributed adaptive NN classifier for…

Machine Learning · Statistics 2023-06-06 Ruiqi Liu , Ganggang Xu , Zuofeng Shang

We train a network to generate mappings between training sets and classification policies (a 'classifier generator') by conditioning on the entire training set via an attentional mechanism. The network is directly optimized for test set…

Machine Learning · Computer Science 2018-04-02 Nicholas Guttenberg , Ryota Kanai

We present a conceptually simple, flexible, and general framework for few-shot learning, where a classifier must learn to recognise new classes given only few examples from each. Our method, called the Relation Network (RN), is trained…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Flood Sung , Yongxin Yang , Li Zhang , Tao Xiang , Philip H. S. Torr , Timothy M. Hospedales

k is the most important parameter in a text categorization system based on k-Nearest Neighbor algorithm (kNN).In the classification process, k nearest documents to the test one in the training set are determined firstly. Then, the…

Computation and Language · Computer Science 2007-05-23 Baoli Li , Shiwen Yu , Qin Lu

The nearest-centroid classifier is a simple linear-time classifier based on computing the centroids of the data classes in the training phase, and then assigning a new datum to the class corresponding to its nearest centroid. Thanks to its…

Machine Learning · Computer Science 2019-11-26 Giuseppe C. Calafiore , Giulia Fracastoro

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and $\ell_1$, few non-trivial algorithms are known for $\ell_p$ when ($2 < p < \infty$). In this paper, we revisit this fundamental problem…

Computational Geometry · Computer Science 2015-12-08 Yair Bartal , Lee-Ad Gottlieb

Deep learning networks have become the de-facto standard in Computer Vision for industry and research. However, recent developments in their cousin, Natural Language Processing (NLP), have shown that there are areas where parameter-less…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Marco Scilipoti , Marina Fuster , Rodrigo Ramele

This paper analyzes k nearest neighbor classification with training data anonymized using anatomy. Anatomy preserves all data values, but introduces uncertainty in the mapping between identifying and sensitive values. We first study the…

Machine Learning · Computer Science 2016-10-30 Koray Mancuhan , Chris Clifton

$K$-NN classifier is one of the most famous classification algorithms, whose performance is crucially dependent on the distance metric. When we consider the distance metric as a parameter of $K$-NN, learning an appropriate distance metric…

Machine Learning · Computer Science 2019-11-26 Kun Song

Finding multiple solutions of non-convex optimization problems is a ubiquitous yet challenging task. Most past algorithms either apply single-solution optimization methods from multiple random initial guesses or search in the vicinity of…

Machine Learning · Computer Science 2023-03-03 Lingxiao Li , Noam Aigerman , Vladimir G. Kim , Jiajin Li , Kristjan Greenewald , Mikhail Yurochkin , Justin Solomon

Safe deployment of deep neural networks in high-stake real-world applications requires theoretically sound uncertainty quantification. Conformal prediction (CP) is a principled framework for uncertainty quantification of deep models in the…

Machine Learning · Computer Science 2023-03-21 Subhankar Ghosh , Taha Belkhouja , Yan Yan , Janardhan Rao Doppa

Training deep neural networks for solving machine learning problems is one great challenge in the field, mainly due to its associated optimisation problem being highly non-convex. Recent developments have suggested that many training…

Machine Learning · Computer Science 2017-11-23 Hao Shen