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In contrastive self-supervised learning, positive samples are typically drawn from the same image but in different augmented views, resulting in a relatively limited source of positive samples. An effective way to alleviate this problem is…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Xianzhong Long , Chen Peng , Yun Li

We consider the problem of classifying a map using a team of communicating robots. It is assumed that all robots have localized visual sensing capabilities and can exchange their information with neighboring robots. Using a graph…

Robotics · Computer Science 2021-03-11 Guangyi Liu , Arash Amini , Martin Takáč , Héctor Muñoz-Avila , Nader Motee

Let $P$ be a set of $n$ colored points in the plane. Introduced by Hart (1968), a consistent subset of $P$, is a set $S\subseteq P$ such that for every point $p$ in $P\setminus S$, the closest point of $p$ in $S$ has the same color as $p$.…

Computational Geometry · Computer Science 2018-11-27 Ahmad Biniaz , Sergio Cabello , Paz Carmi , Jean-Lou De Carufel , Anil Maheshwari , Saeed Mehrabi , Michiel Smid

In the $k$-nearest neighborhood model ($k$-NN), we are given a set of points $P$, and we shall answer queries $q$ by returning the $k$ nearest neighbors of $q$ in $P$ according to some metric. This concept is crucial in many areas of data…

Machine Learning · Computer Science 2018-12-03 Hendrik Fichtenberger , Dennis Rohde

Neural network classifiers have become the de-facto choice for current "pre-train then fine-tune" paradigms of visual classification. In this paper, we investigate k-Nearest-Neighbor (k-NN) classifiers, a classical model-free learning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Menglin Jia , Bor-Chun Chen , Zuxuan Wu , Claire Cardie , Serge Belongie , Ser-Nam Lim

The goal of compressive sensing is efficient reconstruction of data from few measurements, sometimes leading to a categorical decision. If only classification is required, reconstruction can be circumvented and the measurements needed are…

Computer Vision and Pattern Recognition · Computer Science 2013-10-17 B. W. Brunton , S. L. Brunton , J. L. Proctor , J. N. Kutz

In training neural networks, it is common practice to use partial gradients computed over batches, mostly very small subsets of the training set. This approach is motivated by the argument that such a partial gradient is close to the true…

Machine Learning · Computer Science 2024-11-25 Jan Spörer , Bernhard Bermeitinger , Tomas Hrycej , Niklas Limacher , Siegfried Handschuh

The closest pair problem (CPP) is one of the well studied and fundamental problems in computing. Given a set of points in a metric space, the problem is to identify the pair of closest points. Another closely related problem is the fixed…

Data Structures and Algorithms · Computer Science 2014-07-22 Sanguthevar Rajasekaran , Sudipta Pathak

Low-rank approximation is an effective model compression technique to not only reduce parameter storage requirements, but to also reduce computations. For convolutional neural networks (CNNs), however, well-known low-rank approximation…

Machine Learning · Computer Science 2019-05-27 Dongsoo Lee , Se Jung Kwon , Byeongwook Kim , Gu-Yeon Wei

In this paper we propose two algorithms in the tabular setting and an algorithm for the function approximation setting for the Stochastic Shortest Path (SSP) problem. SSP problems form an important class of problems in Reinforcement…

Machine Learning · Computer Science 2025-12-03 Soumyajit Guin , Shalabh Bhatnagar

Nearest neighbor is a popular class of classification methods with many desirable properties. For a large data set which cannot be loaded into the memory of a single machine due to computation, communication, privacy, or ownership…

Machine Learning · Statistics 2019-11-01 Xingye Qiao , Jiexin Duan , Guang Cheng

We study the problem of finding the smallest set of nodes in a network whose removal results in an empty $k$-core; where the $k$-core is the sub-network obtained after the iterative removal of all nodes of degree smaller than $k$. This…

Physics and Society · Physics 2019-02-27 Christian Schmidt , Henry D. Pfister , Lenka Zdeborová

We consider a problem of multiclass classification, where the training sample $S_n = \{(X_i, Y_i)\}_{i=1}^n$ is generated from the model $\mathbb P(Y = m | X = x) = \eta_m(x)$, $1 \leq m \leq M$, and $\eta_1(x), \dots, \eta_M(x)$ are…

Machine Learning · Statistics 2019-11-05 Nikita Puchkin , Vladimir Spokoiny

Training deep neural networks from few examples is a highly challenging and key problem for many computer vision tasks. In this context, we are targeting knowledge transfer from a set with abundant data to other sets with few available…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Yann Lifchitz , Yannis Avrithis , Sylvaine Picard , Andrei Bursuc

In this paper, a novel K-Nearest Neighbour and Support Vector Machine hybrid classification technique has been proposed that is simple and robust. It is based on the concept of discriminative nearest neighbourhood classification. The…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 A. M. Hafiz

Few-shot classification studies the problem of quickly adapting a deep learner to understanding novel classes based on few support images. In this context, recent research efforts have been aimed at designing more and more complex…

Computer Vision and Pattern Recognition · Computer Science 2022-02-21 Jun He , Richang Hong , Xueliang Liu , Mingliang Xu , Qianru Sun

Nearest-Neighbor (NN) classification has been proven as a simple and effective approach for few-shot learning. The query data can be classified efficiently by finding the nearest support class based on features extracted by pretrained deep…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Shuangmei Wang , Rui Ma , Tieru Wu , Yang Cao

We address binary classification using neural ordinary differential equations from the perspective of simultaneous control of $N$ data points. We consider a single-neuron architecture with parameters fixed as piecewise constant functions of…

Optimization and Control · Mathematics 2025-04-18 Antonio Álvarez-López , Rafael Orive-Illera , Enrique Zuazua

The k-nearest-neighbor method performs classification tasks for a query sample based on the information contained in its neighborhood. Previous studies into the k-nearest-neighbor algorithm usually achieved the decision value for a class by…

Machine Learning · Computer Science 2018-12-10 Chengsheng Mao , Bin Hu , Lei Chen , Philip Moore , Xiaowei Zhang

Large-scale supervised classification algorithms, especially those based on deep convolutional neural networks (DCNNs), require vast amounts of training data to achieve state-of-the-art performance. Decreasing this data requirement would…

Computer Vision and Pattern Recognition · Computer Science 2016-06-15 Maya Kabkab , Azadeh Alavi , Rama Chellappa
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