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Kernel mean embeddings are a powerful tool to represent probability distributions over arbitrary spaces as single points in a Hilbert space. Yet, the cost of computing and storing such embeddings prohibits their direct use in large-scale…

Machine Learning · Statistics 2022-06-16 Antoine Chatalic , Nicolas Schreuder , Alessandro Rudi , Lorenzo Rosasco

The competitive MNIST handwritten digit recognition benchmark has a long history of broken records since 1998. The most recent substantial improvement by others dates back 7 years (error rate 0.4%) . Recently we were able to significantly…

Machine Learning · Computer Science 2011-03-24 Dan C. Cireşan , Ueli Meier , Luca M. Gambardella , Jürgen Schmidhuber

Approximate Markov chain Monte Carlo (MCMC) offers the promise of more rapid sampling at the cost of more biased inference. Since standard MCMC diagnostics fail to detect these biases, researchers have developed computable Stein discrepancy…

Machine Learning · Statistics 2020-10-16 Jackson Gorham , Lester Mackey

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

Learning a robust classifier from a few samples remains a key challenge in machine learning. A major thrust of research has been focused on developing $k$-nearest neighbor ($k$-NN) based algorithms combined with metric learning that…

Machine Learning · Statistics 2022-02-17 Shixiang Zhu , Liyan Xie , Minghe Zhang , Rui Gao , Yao Xie

Starting with a similarity function between objects, it is possible to define a distance metric on pairs of objects, and more generally on probability distributions over them. These distance metrics have a deep basis in functional analysis,…

Computational Geometry · Computer Science 2011-03-15 Sarang Joshi , Raj Varma Kommaraju , Jeff M. Phillips , Suresh Venkatasubramanian

Manifold distances are very effective tools for visual object recognition. However, most of the traditional manifold distances between images are based on the pixel-level comparison and thus easily affected by image rotations and…

Computer Vision and Pattern Recognition · Computer Science 2016-05-13 Fengfu Li , Xiayuan Huang , Hong Qiao , Bo Zhang

Biased sampling and missing data complicates statistical problems ranging from causal inference to reinforcement learning. We often correct for biased sampling of summary statistics with matching methods and importance weighting. In this…

Statistics Theory · Mathematics 2022-06-02 James Sharpnack

We present the first comprehensive and large-scale evaluation of classical (NN), fuzzy (FNN) and fuzzy rough (FRNN) nearest neighbour classification. We standardise existing proposals for nearest neighbour weighting with kernel functions,…

Machine Learning · Computer Science 2025-06-06 Oliver Urs Lenz , Henri Bollaert , Chris Cornelis

The simple approach of retrieving a closest match of a query image from one in the gallery, compares an image pair using sum of absolute difference in pixel or feature space. The process is computationally expensive, ill-posed to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Saket Singh , Debdoot Sheet , Mithun Dasgupta

$k$ Nearest Neighbors ($k$NN) is one of the most widely used supervised learning algorithms to classify Gaussian distributed data, but it does not achieve good results when it is applied to nonlinear manifold distributed data, especially…

Machine Learning · Computer Science 2016-06-06 Enmei Tu , Yaqian Zhang , Lin Zhu , Jie Yang , Nikola Kasabov

Given a training set $P$ of labeled points, the nearest-neighbor rule predicts the class of an unlabeled query point as the label of its closest point in the set. To improve the time and space complexity of classification, a natural…

Computational Geometry · Computer Science 2020-07-24 Alejandro Flores-Velazco , David M. Mount

K-nearest neighbors (KNN) is one of the earliest and most established algorithms in machine learning. For regression tasks, KNN averages the targets within a neighborhood which poses a number of challenges: the neighborhood definition is…

Machine Learning · Computer Science 2022-05-18 Youssef Nader , Leon Sixt , Tim Landgraf

The estimation of mutual information (MI) or conditional mutual information (CMI) from a set of samples is a long-standing problem. A recent line of work in this area has leveraged the approximation power of artificial neural networks and…

Information Theory · Computer Science 2021-10-27 Sina Molavipour , Germán Bassi , Mikael Skoglund

Fast k-Nearest Neighbor search over real-valued vector spaces (KNN) is an important algorithmic task for information retrieval and recommendation systems. We present a method for using reduced precision to represent vectors through…

Information Retrieval · Computer Science 2021-10-19 Anthony Ko , Iman Keivanloo , Vihan Lakshman , Eric Schkufza

Recent works have derived neural networks with online correlation-based learning rules to perform \textit{kernel similarity matching}. These works applied existing linear similarity matching algorithms to nonlinear features generated with…

Neural and Evolutionary Computing · Computer Science 2022-04-18 Kyle Luther , H. Sebastian Seung

Handwritten numerals of different languages have various characteristics. Similarities and dissimilarities of the languages can be measured by analyzing the extracted features of the numerals. Handwritten numeral datasets are available and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Md. Rahat-uz-Zaman , Shadmaan Hye

The MNIST dataset has become a standard benchmark for learning, classification and computer vision systems. Contributing to its widespread adoption are the understandable and intuitive nature of the task, its relatively small size and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-02 Gregory Cohen , Saeed Afshar , Jonathan Tapson , André van Schaik

Distance-based dynamic texture recognition is an important research field in multimedia processing with applications ranging from retrieval to segmentation of video data. Based on the conjecture that the most distinctive characteristic of a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Alexander Sagel , Julian Wörmann , Hao Shen

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
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