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We consider choice of the regularization parameter in Tikhonov method in the case of the unknown noise level of the data. From known heuristic parameter choice rules often the best results were obtained in the quasi-optimality criterion…

Numerical Analysis · Mathematics 2017-08-08 Toomas Raus , Uno Hämarik

Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show, in numerical tests, that our methods compare favourably to the existing methods in the literature. The connection with…

Other Condensed Matter · Physics 2007-05-23 Igor Grubisic , Raoul Pietersz

Recommendation systems (RS) aim to retrieve the top-K items most relevant to users, with metrics such as Precision@K and Recall@K commonly used to assess effectiveness. The architecture of an RS model acts as an inductive bias, shaping the…

Information Retrieval · Computer Science 2026-01-27 Sirui Chen , Jiawei Chen , Canghong Jin , Sheng Zhou , Jingbang Chen , Wujie Sun , Can Wang

Using prototype methods to reduce the size of training datasets can drastically reduce the computational cost of classification with instance-based learning algorithms like the k-Nearest Neighbour classifier. The number and distribution of…

Machine Learning · Computer Science 2021-04-13 Ilia Sucholutsky , Matthias Schonlau

We study ranked enumeration of join-query results according to very general orders defined by selective dioids. Our main contribution is a framework for ranked enumeration over a class of dynamic programming problems that generalizes…

Databases · Computer Science 2020-09-15 Nikolaos Tziavelis , Deepak Ajwani , Wolfgang Gatterbauer , Mirek Riedewald , Xiaofeng Yang

In the k-nearest neighbor algorithm (k-NN), the determination of classes for test instances is usually performed via a majority vote system, which may ignore the similarities among data. In this research, the researcher proposes an approach…

Machine Learning · Computer Science 2019-06-13 Jasper Kyle Catapang

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

Nearest Neighbors Algorithm is a Lazy Learning Algorithm, in which the algorithm tries to approximate the predictions with the help of similar existing vectors in the training dataset. The predictions made by the K-Nearest Neighbors…

Machine Learning · Computer Science 2018-11-14 Chandrasekaran Anirudh Bhardwaj , Megha Mishra , Kalyani Desikan

Social networks have enabled user-specific advertisements and recommendations on their platforms, which puts a significant focus on Influence Maximisation (IM) for target advertising and related tasks. The aim is to identify nodes in the…

Social and Information Networks · Computer Science 2022-12-01 Inder Khatri , Aaryan Gupta , Arjun Choudhry , Aryan Tyagi , Dinesh Kumar Vishwakarma , Mukesh Prasad

Recommendation systems aim to provide personalized predictions by identifying items that are most appealing to individual users. Among various recommendation approaches, k-nearest-neighbor (kNN)-based collaborative filtering (CF) remains…

Information Retrieval · Computer Science 2025-12-16 Yongyu Wang

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

Traditional recommendation proposals, including content-based and collaborative filtering, usually focus on similarity between items or users. Existing approaches lack ways of introducing unexpectedness into recommendations, prioritizing…

Information Retrieval · Computer Science 2024-05-15 Oliver Baumann , Durgesh Nandini , Anderson Rossanez , Mirco Schoenfeld , Julio Cesar dos Reis

We are interested in the problem of finding $k$ nearest neighbours in the plane and in the presence of polygonal obstacles ($\textit{OkNN}$). Widely used algorithms for OkNN are based on incremental visibility graphs, which means they…

Artificial Intelligence · Computer Science 2018-08-14 Shizhe Zhao , Daniel D. Harabor , David Taniar

The efficiency of top-K item recommendation based on implicit feedback are vital to recommender systems in real world, but it is very challenging due to the lack of negative samples and the large number of candidate items. To address the…

Information Retrieval · Computer Science 2019-06-06 Haoyu Wang , Defu Lian , Yong Ge

This paper re-examines a continuous optimization framework dubbed NOTEARS for learning Bayesian networks. We first generalize existing algebraic characterizations of acyclicity to a class of matrix polynomials. Next, focusing on a…

Machine Learning · Computer Science 2020-10-20 Dennis Wei , Tian Gao , Yue Yu

In this article, we discuss the implementation of a quantum recommendation system that uses a quantum variant of the k-nearest neighbours algorithm and the Grover algorithm to search for a specific element in unstructured database. In…

Quantum Physics · Physics 2019-12-10 Marek Sawerwain , Marek Wróblewski

We consider the problem of determining the top-$k$ largest measurements from a dataset distributed among a network of $n$ agents with noisy communication links. We show that this scenario can be cast as a distributed convex optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Xu Zhang , Marcos Vasconcelos

Knowledge acquisition and exchange are generally crucial yet costly for both businesses and individuals, especially when the knowledge concerns various areas. Question Answering Communities offer an opportunity for sharing knowledge at a…

Information Retrieval · Computer Science 2018-08-08 Chaoran Huang , Lina Yao , Xianzhi Wang , Boualem Benatallah , Shuai Zhang , Manqing Dong

In this paper B-Rank, an efficient ranking algorithm for recommender systems, is proposed. B-Rank is based on a random walk model on hypergraphs. Depending on the setup, B-Rank outperforms other state of the art algorithms in terms of…

Data Analysis, Statistics and Probability · Physics 2012-05-01 Marcel Blattner

Route recommendation aims to provide users with optimal travel plans that satisfy diverse and complex requirements. Classical routing algorithms (e.g., shortest-path and constraint-aware search) are efficient but assume structured inputs…

Artificial Intelligence · Computer Science 2025-10-08 Tao Zhe , Rui Liu , Fateme Memar , Xiao Luo , Wei Fan , Xinyue Ye , Zhongren Peng , Dongjie Wang