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Online analytical processing of queries on datasets in the many-terabyte range is only possible with costly distributed computing systems. To decrease the cost and increase the throughput, systems can leverage accelerators such as GPUs,…

We present sorting algorithms that represent the fastest known techniques for a wide range of input sizes, input distributions, data types, and machines. A part of the speed advantage is due to the feature to work in-place. Previously, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

GPUs have significantly accelerated first-order methods for large-scale optimization, especially in continuous optimization. However, this success has not transferred cleanly to problems with discrete variables, combinatorial structure, and…

Machine Learning · Computer Science 2026-05-22 Jiachang Liu , Andrea Lodi

We introduce a fusion of GPU accelerated primal heuristics for Mixed Integer Programming. Leveraging GPU acceleration enables exploration of larger search regions and faster iterations. A GPU-accelerated PDLP serves as an approximate LP…

Optimization and Control · Mathematics 2025-10-31 Akif Çördük , Piotr Sielski , Alice Boucher , Kumar Aatish

Autoregressive decoding with generative Large Language Models (LLMs) on accelerators (GPUs/TPUs) is often memory-bound where most of the time is spent on transferring model parameters from high bandwidth memory (HBM) to cache. On the other…

Machine Learning · Computer Science 2024-02-15 Yashas Samaga B L , Varun Yerram , Chong You , Srinadh Bhojanapalli , Sanjiv Kumar , Prateek Jain , Praneeth Netrapalli

We propose a new (theoretical) computational model for the study of massive data processing with limited computational resources. Our model measures the complexity of reading the very large data sets in terms of the data size N and analyzes…

Data Structures and Algorithms · Computer Science 2020-03-09 Jianer Chen , Ying Guo , Qin Huang

Random walks are a primary means for extracting information from large-scale graphs. While most real-world graphs are inherently dynamic, state-of-the-art random walk engines failed to efficiently support such a critical use case. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Pinhuan Wang , Chengying Huan , Zhibin Wang , Chen Tian , Yuede Ji , Hang Liu

Filters approximately store a set of items while trading off accuracy for space-efficiency and can address the limited memory on accelerators, such as GPUs. However, there is a lack of high-performance and feature-rich GPU filters as most…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Hunter McCoy , Steven Hofmeyr , Katherine Yelick , Prashant Pandey

In this paper, we present a novel massively parallel algorithm for accelerating the decision tree building procedure on GPUs (Graphics Processing Units), which is a crucial step in Gradient Boosted Decision Tree (GBDT) and random forests…

Machine Learning · Statistics 2017-06-27 Huan Zhang , Si Si , Cho-Jui Hsieh

Deep learning recommendation systems serve personalized content under diverse tail-latency targets and input-query loads. In order to do so, state-of-the-art recommendation models rely on terabyte-scale embedding tables to learn user…

Hardware Architecture · Computer Science 2023-02-22 Samuel Hsia , Udit Gupta , Bilge Acun , Newsha Ardalani , Pan Zhong , Gu-Yeon Wei , David Brooks , Carole-Jean Wu

Error accumulation is effective for gradient sparsification in distributed settings: initially-unselected gradient entries are eventually selected as their accumulated error exceeds a certain level. The accumulation essentially behaves as a…

Machine Learning · Computer Science 2026-02-17 Ali Bereyhi , Ben Liang , Gary Boudreau , Ali Afana

Selecting a small set of representatives from a large database is important in many applications such as multi-criteria decision making, web search, and recommendation. The $k$-regret minimizing set ($k$-RMS) problem was recently proposed…

Databases · Computer Science 2021-06-30 Yanhao Wang , Yuchen Li , Raymond Chi-Wing Wong , Kian-Lee Tan

We present a novel characterization of the mapping of multiple parallelism forms (e.g. data and model parallelism) onto hierarchical accelerator systems that is hierarchy-aware and greatly reduces the space of software-to-hardware mapping.…

Programming Languages · Computer Science 2021-11-17 Ningning Xie , Tamara Norman , Dominik Grewe , Dimitrios Vytiniotis

$k$-core is a subgraph where every node has at least $k$ neighbors within the subgraph. The $k$-core subgraphs has been employed in large platforms like Network Repository to comprehend the underlying structures and dynamics of the network.…

Data Structures and Algorithms · Computer Science 2024-03-15 Yiping Liu , Bo Yan , Bo Zhao , Hongyi Su , Yang Chen , Michael Witbrock

K Nearest Neighbor (KNN) joins are used in scientific domains for data analysis, and are building blocks of several well-known algorithms. KNN-joins find the KNN of all points in a dataset. This paper focuses on a hybrid CPU/GPU approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-19 Michael Gowanlock

Maximum Inner Product Search or top-k retrieval on sparse vectors is well-understood in information retrieval, with a number of mature algorithms that solve it exactly. However, all existing algorithms are tailored to text and…

Information Retrieval · Computer Science 2023-07-19 Sebastian Bruch , Franco Maria Nardini , Amir Ingber , Edo Liberty

Variance reduction methods such as SVRG and SpiderBoost use a mixture of large and small batch gradients to reduce the variance of stochastic gradients. Compared to SGD, these methods require at least double the number of operations per…

Machine Learning · Computer Science 2020-01-28 Melih Elibol , Lihua Lei , Michael I. Jordan

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase optimal power flow in active distribution systems with dynamically changing topologies. To handle varying network configurations and enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Consider the following "local" cut-detection problem in a directed graph: We are given a starting vertex $s$ and need to detect whether there is a cut with at most $k$ edges crossing the cut such that the side of the cut containing $s$ has…

Data Structures and Algorithms · Computer Science 2019-04-23 Sebastian Forster , Liu Yang

Algorithms for finding minimum or bounded vertex covers in graphs use a branch-and-reduce strategy, which involves exploring a highly imbalanced search tree. Prior GPU solutions assign different thread blocks to different sub-trees, while…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Hussein Amro , Basel Fakhri , Amer E. Mouawad , Izzat El Hajj