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We consider the problem of clustering partially labeled data from a minimal number of randomly chosen pairwise comparisons between the items. We introduce an efficient local algorithm based on a power iteration of the non-backtracking…

Machine Learning · Computer Science 2018-06-28 Alaa Saade , Florent Krzakala , Marc Lelarge , Lenka Zdeborová

Developments of nonlocal operators for modeling processes that traditionally have been described by local differential operators have been increasingly active during the last few years. One example is peridynamics for brittle materials and…

Numerical Analysis · Mathematics 2020-04-06 Xiaochuan Tian , Bjorn Engquist

One important tool is the optimal clustering of data into useful categories. Dividing similar objects into a smaller number of clusters is of importance in many applications. These include search engines, monitoring of academic performance,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-21 Gavriel Yarmish , Philip Listowsky , Simon Dexter

In this paper, we describe efficient MapReduce simulations of parallel algorithms specified in the BSP and PRAM models. We also provide some applications of these simulation results to problems in parallel computational geometry for the…

Data Structures and Algorithms · Computer Science 2015-03-14 Michael T. Goodrich

A matrix algorithm is said to be superfast (that is, runs at sublinear cost) if it involves much fewer scalars and flops than the input matrix has entries. Such algorithms have been extensively studied and widely applied in modern…

Numerical Analysis · Mathematics 2025-05-28 Soo Go , Victor Y. Pan

We develop a general framework to significantly reduce the degree of sum-of-squares proofs by introducing new variables. To illustrate the power of this framework, we use it to speed up previous algorithms based on sum-of-squares for two…

Data Structures and Algorithms · Computer Science 2021-01-06 David Steurer , Stefan Tiegel

In scientific computing, it is common that a mathematical expression can be computed by many different algorithms (sometimes over hundreds), each identifying a specific sequence of library calls. Although mathematically equivalent, those…

Performance · Computer Science 2021-09-15 Aravind Sankaran , Paolo Bientinesi

Introduction: An important chain of supermarkets in the western zone of the capital of Chile, needs to obtain key information to make decisions, this information is available in the databases but needs to be processed due to the complexity…

Machine Learning · Computer Science 2021-07-23 Joaquín Cordero , Alfredo Bolt , Mauricio Valle

Self-Organizing Maps are commonly used for unsupervised learning purposes. This paper is dedicated to the certain modification of SOM called SOMN (Self-Organizing Mixture Networks) used as a mechanism for representing grayscale digital…

Artificial Intelligence · Computer Science 2011-08-19 Patryk Filipiak

In this project, we implement a multiple object tracker, following the tracking-by-detection paradigm, as an extension of an existing method. It works by modelling the movement of objects by solving the filtering problem, and associating…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Samuel Murray

Cartograms are maps that rescale geographic regions (e.g., countries, districts) such that their areas are proportional to quantitative demographic data (e.g., population size, gross domestic product). Unlike conventional bar or pie charts,…

Computational Geometry · Computer Science 2019-11-12 Michael T. Gastner , Vivien Seguy , Pratyush More

Unsupervised machine learning is one of the main techniques employed in artificial intelligence. We introduce an algorithm for quantum-assisted unsupervised data clustering using the self-organizing feature map, a type of artificial neural…

Quantum Physics · Physics 2025-01-13 Ilia D. Lazarev , Marek Narozniak , Tim Byrnes , Alexey N. Pyrkov

We attack the problem of learning concepts automatically from noisy web image search results. Going beyond low level attributes, such as colour and texture, we explore weakly-labelled datasets for the learning of higher level concepts, such…

Computer Vision and Pattern Recognition · Computer Science 2013-12-17 Eren Golge , Pinar Duygulu

Recently, hashing is widely used in approximate nearest neighbor search for its storage and computational efficiency. Most of the unsupervised hashing methods learn to map images into semantic similarity-preserving hash codes by…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Xiao Luo , Daqing Wu , Zeyu Ma , Chong Chen , Minghua Deng , Jinwen Ma , Zhongming Jin , Jianqiang Huang , Xian-Sheng Hua

We present a novel parallelisation scheme that simplifies the adaptation of learning algorithms to growing amounts of data as well as growing needs for accurate and confident predictions in critical applications. In contrast to other…

Machine Learning · Computer Science 2018-10-09 Michael Kamp , Mario Boley , Olana Missura , Thomas Gärtner

The k-means algorithm can simplify large-scale spatial vectors, such as 2D geo-locations and 3D point clouds, to support fast analytics and learning. However, when processing large-scale datasets, existing k-means algorithms have been…

Machine Learning · Computer Science 2024-12-04 Yushuai Ji , Zepeng Liu , Sheng Wang , Yuan Sun , Zhiyong Peng

The digital age has completely transformed the way that information is processed and stored, which makes cybersecurity a crucial field of research. Cybersecurity contains many different domains, but this work focuses on Intrusion Detection…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Rebekah Lane , Logan Cummins , Andy Perkins , George Trawick , Ioana Banicescu , Sudip Mittal

When adapting Simultaneous Mapping and Localization (SLAM) to real-world applications, such as autonomous vehicles, drones, and augmented reality devices, its memory footprint and computing cost are the two main factors limiting the…

Robotics · Computer Science 2022-11-04 Yeonsoo Park , Soohyun Bae

We consider the problem of localizing a manned, semi-autonomous, or autonomous vehicle in the environment using information coming from the vehicle's sensors, a problem known as navigation or simultaneous localization and mapping (SLAM)…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Paul Chauchat , Axel Barrau , Silvère Bonnabel

In simultaneous localization and mapping (SLAM), image feature point matching process consume a lot of time. The capacity of low-power systems such as embedded systems is almost limited. It is difficult to ensure the timely processing of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Lu Cao
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