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We propose a novel way to study numerical methods for ordinary differential equations in one dimension via the notion of multi-indice. The main idea is to replace rooted trees in Butcher's B-series by multi-indices. The latter were…

Numerical Analysis · Mathematics 2025-03-27 Yvain Bruned , Kurusch Ebrahimi-Fard , Yingtong Hou

We present space-efficient parallel strategies for two fundamental combinatorial search problems, namely, backtrack search and branch-and-bound, both involving the visit of an $n$-node tree of height $h$ under the assumption that a node can…

Data Structures and Algorithms · Computer Science 2014-03-27 Andrea Pietracaprina , Geppino Pucci , Francesco Silvestri , Fabio Vandin

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

Indexes are critical for efficient data retrieval and updates in modern databases. Recent advances in machine learning have led to the development of learned indexes, which model the cumulative distribution function of data to predict…

Databases · Computer Science 2026-04-27 Xinyi Zhang , Liang Liang , Anastasia Ailamaki , Jianliang Xu

Tree kernels are fundamental tools that have been leveraged in many applications, particularly those based on machine learning for Natural Language Processing tasks. In this paper, we devise a parallel implementation of the sequential…

Computation and Language · Computer Science 2023-05-16 Souad Taouti , Hadda Cherroun , Djelloul Ziadi

We consider the problem of representing, in a compressed format, a bit-vector $S$ of $m$ bits with $n$ 1s, supporting the following operations, where $b \in \{0, 1 \}$: $rank_b(S,i)$ returns the number of occurrences of bit $b$ in the…

Data Structures and Algorithms · Computer Science 2009-02-17 Roberto Grossi , Alessio Orlandi , Rajeev Raman , S. Srinivasa Rao

Skip graphs are a novel distributed data structure, based on skip lists, that provide the full functionality of a balanced tree in a distributed system where resources are stored in separate nodes that may fail at any time. They are…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Gauri Shah

We present a GPU solution for exact maximal clique enumeration (MCE) that performs a search tree traversal following the Bron-Kerbosch algorithm. Prior works on parallelizing MCE on GPUs perform a breadth-first traversal of the tree, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad Almasri , Yen-Hsiang Chang , Izzat El Hajj , Rakesh Nagi , Jinjun Xiong , Wen-mei Hwu

Corporations today collect data at an unprecedented and accelerating scale, making the need to run queries on large datasets increasingly important. Technologies such as columnar block-based data organization and compression have become…

The emerging class of instance-optimized systems has shown potential to achieve high performance by specializing to a specific data and query workloads. Particularly, Machine Learning (ML) techniques have been applied successfully to build…

Databases · Computer Science 2022-07-04 Abdullah-Al-Mamun , Ch. Md. Rakin Haider , Jianguo Wang , Walid G. Aref

Machine Learning (ML) techniques have been successfully applied to design various learned database index structures for both the one- and multi-dimensional spaces. Particularly, a class of traditional multi-dimensional indexes has been…

Databases · Computer Science 2025-02-17 Abdullah Al-Mamun , Ch. Md. Rakin Haider , Jianguo Wang , Walid G. Aref

The growing volume of graph data may exhaust the main memory. It is crucial to design a disk-based graph storage system to ingest updates and analyze graphs efficiently. However, existing dynamic graph storage systems suffer from read or…

We propose an extension of tree-based space-partitioning indexing structures for data with low intrinsic dimensionality embedded in a high dimensional space. We call this extension an Angle Tree. Our extension can be applied to both…

Data Structures and Algorithms · Computer Science 2010-04-19 Ilia Zvedeniouk , Sanjay Chawla

We introduce a new compression scheme for labeled trees based on top trees. Our compression scheme is the first to simultaneously take advantage of internal repeats in the tree (as opposed to the classical DAG compression that only exploits…

Data Structures and Algorithms · Computer Science 2014-05-13 Philip Bille , Inge Li Goertz , Gad M. Landau , Oren Weimann

The growing volume of data in scientific domains has made spatial query processing increasingly challenging due to high data transfer costs across the memory hierarchy and limited memory bandwidth. To address these bottlenecks and reduce…

Databases · Computer Science 2026-04-17 Tasmia Jannat , Michael Gowanlock , Satish Puri

In this thesis, we describe a new, practical approach to integrating hardware-based data compression within the memory hierarchy, including on-chip caches, main memory, and both on-chip and off-chip interconnects. This new approach is fast,…

Hardware Architecture · Computer Science 2016-09-08 Gennady Pekhimenko

Recently proposed budding tree is a decision tree algorithm in which every node is part internal node and part leaf. This allows representing every decision tree in a continuous parameter space, and therefore a budding tree can be jointly…

Machine Learning · Computer Science 2014-12-22 Ozan İrsoy , Ethem Alpaydın

As a result of RAM becoming cheaper, there has been a trend in key-value store design towards maintaining a fast in-memory index (such as a hash table) while logging user operations to disk, allowing high performance under failure-free…

Databases · Computer Science 2021-07-23 Maofan Yin , Hongbo Zhang , Robbert van Renesse , Emin Gün Sirer

In this paper we generalize the definition of "Search Trees" (ST) to enable reference values other than the key of prior inserted nodes. The idea builds on the assumption an $n$-node AVL (or Red-Black) requires to assure $O(\log_2n)$…

Data Structures and Algorithms · Computer Science 2018-04-04 Saulo Queiroz

In order to speed-up classification models when facing a large number of categories, one usual approach consists in organizing the categories in a particular structure, this structure being then used as a way to speed-up the prediction…

Machine Learning · Computer Science 2015-11-26 Aurélia Léon , Ludovic Denoyer
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