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Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typically lies in lower-dimensional structures. These lower dimensional objects provide useful insight, with interpretability favored by sparse…

Methodology · Statistics 2022-12-14 Lorenzo Schiavon , Bernardo Nipoti , Antonio Canale

A critical component to enabling intelligent reasoning in partially observable environments is memory. Despite this importance, Deep Reinforcement Learning (DRL) agents have so far used relatively simple memory architectures, with the main…

Machine Learning · Computer Science 2017-02-28 Emilio Parisotto , Ruslan Salakhutdinov

Mining large graphs for information is becoming an increasingly important workload due to the plethora of graph structured data becoming available. An aspect of graph algorithms that has hitherto not received much interest is the effect of…

Data Structures and Algorithms · Computer Science 2012-03-27 Amitabha Roy

Understanding the performance of data-parallel workloads when resource-constrained has significant practical importance but unfortunately has received only limited attention. This paper identifies, quantifies and demonstrates memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-15 Calin Iorgulescu , Florin Dinu , Aunn Raza , Wajih Ul Hassan , Willy Zwaenepoel

The ever-increasing gap between compute and I/O performance in HPC platforms, together with the development of novel NVMe storage devices (NVRAM), led to the emergence of the burst buffer concept - an intermediate persistent storage layer…

Performance · Computer Science 2021-11-22 Jan Kopanski

The rank and select operations over a string of length n from an alphabet of size $\sigma$ have been used widely in the design of succinct data structures. In many applications, the string itself need be maintained dynamically, allowing…

Data Structures and Algorithms · Computer Science 2010-06-25 Meng He , J. Ian Munro

This paper details a data structure for managing and scheduling requests for computing resources of clusters and virtualised infrastructure such as private clouds. The data structure uses a red-black tree whose nodes represent the start…

Data Structures and Algorithms · Computer Science 2015-04-06 Marcos Dias de Assuncao

We study data structures in the presence of adversarial noise. We want to encode a given object in a succinct data structure that enables us to efficiently answer specific queries about the object, even if the data structure has been…

Data Structures and Algorithms · Computer Science 2008-12-01 Ronald de Wolf

In most modern systems, the memory subsystem is managed and accessed at multiple different granularities at various resources. We observe that such multi-granularity management results in significant inefficiency in the memory subsystem.…

Hardware Architecture · Computer Science 2016-05-23 Vivek Seshadri

We spot a hole in the area of succinct data structures for graph classes from a universe of size at most $n^n$. Very often, the input graph is labeled by the user in an arbitrary and easy-to-use way, and the data structure for the graph…

Data Structures and Algorithms · Computer Science 2023-11-07 Sankardeep Chakraborty , Christian Engels , Seungbum Jo , Mingmou Liu

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be approximated by a rank-deficient matrix with low numerical rank. Here, we use…

Mathematical Software · Computer Science 2015-06-29 François-Henry Rouet , Xiaoye S. Li , Pieter Ghysels , Artem Napov

Augmented B-trees (aB-trees) are a broad class of data structures. The seminal work "succincter" by Patrascu showed that any aB-tree can be stored using only two bits of redundancy, while supporting queries to the tree in time proportional…

Data Structures and Algorithms · Computer Science 2023-09-25 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

Finite element methods require the composition of the global stiffness matrix from local finite element contributions. The composition process combines the computation of element stiffness matrices and their assembly into the global…

Numerical Analysis · Mathematics 2021-07-16 Adam Sky , César Polindara , Ingo Muench , Carolin Birk

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-05-31 Alexander Victor Berka

A retrieval data structure stores a static function f : S -> {0,1}^r . For all x in S, it returns the r-bit value f(x), while for other inputs it may return an arbitrary result. The structure cannot answer membership queries, so it does not…

Data Structures and Algorithms · Computer Science 2024-11-20 Matthias Becht , Hans-Peter Lehmann , Peter Sanders

The Suffix Array $SA_S[1\ldots n]$ of an $n$-length string $S$ is a lexicographically sorted array of the suffixes of $S$. The suffix array is one of the most well known and widely used data structures in string algorithms. We present a…

Data Structures and Algorithms · Computer Science 2021-12-24 Amihood Amir , Itai Boneh

We present a general toolbox, based on new vertex sparsifiers, for designing data structures to maintain shortest paths in dynamic graphs. In an $m$-edge graph undergoing edge insertions and deletions, our data structures give the first…

Data Structures and Algorithms · Computer Science 2023-11-14 Rasmus Kyng , Simon Meierhans , Maximilian Probst Gutenberg

Concurrent data structures often require additional memory for handling synchronization issues in addition to memory for storing elements. Depending on the amount of this additional memory, implementations can be more or less…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Vitaly Aksenov , Nikita Koval , Petr Kuznetsov , Anton Paramonov

We present a succinct data structure for permutation graphs, and their superclass of circular permutation graphs, i.e., data structures using optimal space up to lower order terms. Unlike concurrent work on circle graphs (Acan et al. 2022),…

Data Structures and Algorithms · Computer Science 2022-09-27 Konstantinos Tsakalidis , Sebastian Wild , Viktor Zamaraev