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Many nonparametric regressors were recently shown to converge at rates that depend only on the intrinsic dimension of data. These regressors thus escape the curse of dimension when high-dimensional data has low intrinsic dimension (e.g. a…

Machine Learning · Statistics 2011-10-20 Samory Kpotufe

Most exact methods for k-nearest neighbour search suffer from the curse of dimensionality; that is, their query times exhibit exponential dependence on either the ambient or the intrinsic dimensionality. Dynamic Continuous Indexing (DCI)…

Machine Learning · Computer Science 2017-07-21 Ke Li , Jitendra Malik

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-02 Nitin Bhatia , Vandana

Non-local methods exploiting the self-similarity of natural signals have been well studied, for example in image analysis and restoration. Existing approaches, however, rely on k-nearest neighbors (KNN) matching in a fixed feature space.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Tobias Plötz , Stefan Roth

We propose a general framework for end-to-end learning of data structures. Our framework adapts to the underlying data distribution and provides fine-grained control over query and space complexity. Crucially, the data structure is learned…

Machine Learning · Computer Science 2024-11-06 Omar Salemohamed , Laurent Charlin , Shivam Garg , Vatsal Sharan , Gregory Valiant

k-means is one of the most influential and utilized machine learning algorithms. Its computation limits the performance and scalability of many statistical analysis and machine learning tasks. We rethink and optimize k-means in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Disa Mhembere , Da Zheng , Carey E. Priebe , Joshua T. Vogelstein , Randal Burns

Recurrent neural networks (RNNs) are well suited for solving sequence tasks in resource-constrained systems due to their expressivity and low computational requirements. However, there is still a need to bridge the gap between what RNNs are…

Machine Learning · Computer Science 2023-03-13 Anand Subramoney , Khaleelulla Khan Nazeer , Mark Schöne , Christian Mayr , David Kappel

The effectiveness of deep neural networks (DNN) in vision, speech, and language processing has prompted a tremendous demand for energy-efficient high-performance DNN inference systems. Due to the increasing memory intensity of most DNN…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-15 Skanda Koppula , Lois Orosa , Abdullah Giray Yağlıkçı , Roknoddin Azizi , Taha Shahroodi , Konstantinos Kanellopoulos , Onur Mutlu

In this paper, we show how $K$-nearest neighbor ($K$-NN) resampling, an off-policy evaluation method proposed in \cite{giegrich2023k}, can be applied to simulate limit order book (LOB) markets and how it can be used to evaluate and…

Trading and Market Microstructure · Quantitative Finance 2024-09-11 Michael Giegrich , Roel Oomen , Christoph Reisinger

Perhaps the most straightforward classifier in the arsenal or machine learning techniques is the Nearest Neighbour Classifier -- classification is achieved by identifying the nearest neighbours to a query example and using those neighbours…

Machine Learning · Computer Science 2021-08-10 Padraig Cunningham , Sarah Jane Delany

The $k$-nearest neighbor ($k$-NN) algorithm is one of the most popular methods for nonparametric classification. However, a relevant limitation concerns the definition of the number of neighbors $k$. This parameter exerts a direct impact on…

Machine Learning · Computer Science 2024-09-10 Alexandre Luís Magalhães Levada , Frank Nielsen , Michel Ferreira Cardia Haddad

Among the extensions of twin support vector machine (TSVM), some scholars have utilized K-nearest neighbor (KNN) graph to enhance TSVM's classification accuracy. However, these KNN-based TSVM classifiers have two major issues such as high…

Machine Learning · Computer Science 2019-06-25 A. Mir , Jalal A. Nasiri

Much recent work has been devoted to approximate nearest neighbor queries. Motivated by applications in recommender systems, we consider approximate furthest neighbor (AFN) queries and present a simple, fast, and highly practical data…

Data Structures and Algorithms · Computer Science 2016-11-23 Rasmus Pagh , Francesco Silvestri , Johan Sivertsen , Matthew Skala

The Reverse Greedy algorithm (RGreedy) for the k-median problem works as follows. It starts by placing facilities on all nodes. At each step, it removes a facility to minimize the resulting total distance from the customers to the remaining…

Data Structures and Algorithms · Computer Science 2015-06-02 Marek Chrobak , Claire Kenyon , Neal E. Young

One of the most fundamental problems in machine learning is to compare examples: Given a pair of objects we want to return a value which indicates degree of (dis)similarity. Similarity is often task specific, and pre-defined distances can…

Machine Learning · Statistics 2022-08-31 Shubhendu Trivedi

We introduce a deep residual recurrent neural network (DR-RNN) as an efficient model reduction technique for nonlinear dynamical systems. The developed DR-RNN is inspired by the iterative steps of line search methods in finding the residual…

Computational Engineering, Finance, and Science · Computer Science 2017-09-05 J. Nagoor Kani , Ahmed H. Elsheikh

For the past couple of decades, numerical optimization has played a central role in addressing wireless resource management problems such as power control and beamformer design. However, optimization algorithms often entail considerable…

Information Theory · Computer Science 2018-09-18 Haoran Sun , Xiangyi Chen , Qingjiang Shi , Mingyi Hong , Xiao Fu , Nicholas D. Sidiropoulos

K-Neares Neighbors (KNN) and its variant weighted KNN (WKNN) have been explored for years in both academy and industry to provide stable and reliable performance in WiFi-based indoor positioning systems. Such algorithms estimate the…

Signal Processing · Electrical Eng. & Systems 2023-02-03 Yinhuan Dong , Francisco Zampella , Firas Alsehly

There is a large body of work on convergence rates either in passive or active learning. Here we first outline some of the main results that have been obtained, more specifically in a nonparametric setting under assumptions about the…

Machine Learning · Computer Science 2020-07-14 Boris Ndjia Njike , Xavier Siebert

Nearest Neighbor Search (NNS) has recently drawn a rapid increase of interest due to its core role in managing high-dimensional vector data in data science and AI applications. The interest is fueled by the success of neural embedding,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Zhen Peng , Minjia Zhang , Kai Li , Ruoming Jin , Bin Ren
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