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The growth in data storage capacity and the increasing demands for high performance have created several challenges for concurrent indexing structures. One promising solution is learned indexes, which use a learning-based approach to fit…

Databases · Computer Science 2023-09-06 Jiake Ge , Huanchen Zhang , Boyu Shi , Yuanhui Luo , Yunda Guo , Yunpeng Chai , Yuxing Chen , Anqun Pan

Fast multipole methods have O(N) complexity, are compute bound, and require very little synchronization, which makes them a favorable algorithm on next-generation supercomputers. Their most common application is to accelerate N-body…

Numerical Analysis · Computer Science 2012-03-06 Hatem Ltaief , Rio Yokota

Convex polytopes have compact representations and exhibit convexity, which makes them suitable for abstracting obstacle-free spaces from various environments. Existing generation methods struggle with balancing high-quality output and…

Robotics · Computer Science 2025-03-19 Qianhao Wang , Zhepei Wang , Mingyang Wang , Jialin Ji , Zhichao Han , Tianyue Wu , Rui Jin , Yuman Gao , Chao Xu , Fei Gao

The bulk synchronous parallel (BSP) model struggles with irregular workloads due to rigid global communication. While fine-grained asynchronous BSP (FA-BSP) improves overlap, existing implementations typically rely on a limiting…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Minyu Cheng , Jiakun Yan , Marc Snir

A new method for binning a set of $n$ data values into a set of m bins for the case where the bins are of different sizes is proposed. The method skips binning using a binary search across the bins all the time. It is proven the method…

Data Structures and Algorithms · Computer Science 2021-08-19 Oswaldo Cadenas , Graham M. Megson

Many modern multiclass and multilabel problems are characterized by increasingly large output spaces. For these problems, label embeddings have been shown to be a useful primitive that can improve computational and statistical efficiency.…

Machine Learning · Computer Science 2015-04-01 Paul Mineiro , Nikos Karampatziakis

In this paper we present several novel efficient techniques and multidimensional data structures which can improve the decision making process in many domains. We consider online range aggregation, range selection and range weighted median…

Computational Geometry · Computer Science 2010-01-12 Madalina Ecaterina Andreica , Mugurel Ionut Andreica , Nicolae Cataniciu

In the era of big data, it is desired to develop efficient machine learning algorithms to tackle massive data challenges such as storage bottleneck, algorithmic scalability, and interpretability. In this paper, we develop a novel efficient…

Machine Learning · Computer Science 2022-11-14 Jinshan Zeng , Minrun Wu , Shao-Bo Lin , Ding-Xuan Zhou

Indexing is an effective way to support efficient query processing in large databases. Recently the concept of learned index, which replaces or complements traditional index structures with machine learning models, has been actively…

Databases · Computer Science 2022-08-01 Yao Tian , Tingyun Yan , Xi Zhao , Kai Huang , Xiaofang Zhou

Index structures are fundamental for efficient query processing on large-scale datasets. Learned indexes model the indexing process as a prediction problem to overcome the inherent trade-offs of traditional indexes. However, most existing…

Databases · Computer Science 2026-03-31 Yuzhen Chen , Bin Yao

The fast multipole method (FMM) performs fast approximate kernel summation to a specified tolerance $\epsilon$ by using a hierarchical division of the domain, which groups source and receiver points into regions that satisfy local…

Numerical Analysis · Computer Science 2012-04-17 Yuancheng Luo , Ramani Duraiswami

The logarithmic number system (LNS) is arguably not broadly used due to exponential circuit overheads for summation tables relative to arithmetic precision. Methods to reduce this overhead have been proposed, yet still yield designs with…

Numerical Analysis · Mathematics 2020-05-15 Jeff Johnson

Range queries over multidimensional data are an important part of database workloads in many applications. Their execution may be accelerated by using multidimensional index structures (MDIS), such as kd-trees or R-trees. As for most index…

Databases · Computer Science 2018-05-15 Stefan Sprenger , Patrick Schäfer , Ulf Leser

Multi-objective optimisation problems involve finding solutions with varying trade-offs between multiple and often conflicting objectives. Ising machines are physical devices that aim to find the absolute or approximate ground states of an…

Artificial Intelligence · Computer Science 2023-05-22 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Arnaud Liefooghe , Matthieu Parizy

Neural models have transformed the fundamental information retrieval problem of mapping a query to a giant set of items. However, the need for efficient and low latency inference forces the community to reconsider efficient approximate…

Information Retrieval · Computer Science 2021-03-19 Gaurav Gupta , Tharun Medini , Anshumali Shrivastava , Alexander J Smola

We propose scalable methods to execute counting queries in machine learning applications. To achieve memory and computational efficiency, we abstract counting queries and their context such that the counts can be aggregated as a stream. We…

Machine Learning · Statistics 2019-01-09 Subhadeep Karan , Matthew Eichhorn , Blake Hurlburt , Grant Iraci , Jaroslaw Zola

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

Computation · Statistics 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

Bayesian networks (BNs) are attractive, because they are graphical and interpretable machine learning models. However, exact inference on BNs is time-consuming, especially for complex problems. To improve the efficiency, we propose a fast…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-14 Jiantong Jiang , Zeyi Wen , Atif Mansoor , Ajmal Mian

Recent approaches to distributed model fitting rely heavily on consensus ADMM, where each node solves small sub-problems using only local data. We propose iterative methods that solve {\em global} sub-problems over an entire distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-10 Tom Goldstein , Gavin Taylor , Kawika Barabin , Kent Sayre

We investigate a real-life air cargo loading problem which is a variant of the three-dimensional Variable Size Bin Packing Problem with special bin forms of cuboid and non-cuboid unit load devices (ULDs). Packing is constrained by…

Optimization and Control · Mathematics 2024-10-03 Katrin Heßler , Timo Hintsch , Lukas Wienkamp