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Integration by parts (IBP) has acquired a bad reputation. While it allows us to compute a wide variety of integrals when other methods fall short, its implementation is often seen as plodding and confusing. Readers familiar with tabular IBP…

History and Overview · Mathematics 2016-06-15 John A. Rock

Existence of incomplete and imprecise data has moved the database paradigm from deterministic to proba- babilistic information. Probabilistic databases contain tuples that may or may not exist with some probability. As a result, the number…

Databases · Computer Science 2013-07-04 Andrei Todor , Alin Dobra , Tamer Kahveci , Christopher Dudley

Machinery for data analysis often requires a numeric representation of the input. Towards that, a common practice is to embed components of structured data into a high-dimensional vector space. We study the embedding of the tuples of a…

Machine Learning · Computer Science 2024-01-23 Yuval Lev Lubarsky , Jan Tönshoff , Martin Grohe , Benny Kimelfeld

In this paper, we provide a comprehensive rigorous modeling for multidimensional spaces with hierarchically structured dimensions in several layers of abstractions and data cubes that live in such spaces. We model cube queries and their…

Databases · Computer Science 2023-01-10 Panos Vassiliadis

Data-flow is a natural approach to parallelism. However, describing dependencies and control between fine-grained data-flow tasks can be complex and present unwanted overheads. TALM (TALM is an Architecture and Language for Multi-threading)…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-23 Leandro A. J. Marzulo , Tiago A. O. Alves , Felipe M. G. França , Vítor Santos Costa

We propose Chunks and Tasks, a parallel programming model built on abstractions for both data and work. The application programmer specifies how data and work can be split into smaller pieces, chunks and tasks, respectively. The Chunks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-29 Emanuel H. Rubensson , Elias Rudberg

Data processing systems impose multiple views on data as it is processed by the system. These views include spreadsheets, databases, matrices, and graphs. There are a wide variety of technologies that can be used to store and process data…

Positive linear programs (LP), also known as packing and covering linear programs, are an important class of problems that bridges computer science, operations research, and optimization. Despite the consistent efforts on this problem, all…

Data Structures and Algorithms · Computer Science 2016-11-15 Zeyuan Allen-Zhu , Lorenzo Orecchia

Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

Reliable storage emulations from fault-prone components have established themselves as an algorithmic foundation of modern storage services and applications. Most existing reliable storage emulations are built from storage services…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-18 Gregory Chockler , Dan Dobre , Alexander Shraer , Alexander Spiegelman

High performance computing data is surging fast into the exabyte-scale world, where tape libraries are the main platform for long-term durable data storage besides high-cost DNA. Tape libraries are extremely hard to model, but accurate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-13 Suayb S. Arslan , James Peng , Turguy Goker

In this paper we relate a number of parsing algorithms which have been developed in very different areas of parsing theory, and which include deterministic algorithms, tabular algorithms, and a parallel algorithm. We show that these…

cmp-lg · Computer Science 2008-02-03 Mark-Jan Nederhof

In edge computing deployments, where devices may be in close proximity to each other, these devices may offload similar computational tasks (i.e., tasks with similar input data for the same edge computing service or for services of the same…

Networking and Internet Architecture · Computer Science 2022-04-04 Md Washik Al Azad , Spyridon Mastorakis

Recent reproducibility case studies have raised concerns showing that much of the deposited research has not been reproducible. One of their conclusions was that the way data repositories store research data and code cannot fully facilitate…

Digital Libraries · Computer Science 2020-06-18 Ana Trisovic , Philip Durbin , Tania Schlatter , Gustavo Durand , Sonia Barbosa , Danny Brooke , Mercè Crosas

Scheduling query execution plans is a particularly complex problem in shared-nothing parallel systems, where each site consists of a collection of local time-shared (e.g., CPU(s) or disk(s)) and space-shared (e.g., memory) resources and…

Databases · Computer Science 2014-04-01 Minos Garofalakis , Yannis Ioannidis

To harness the full benefit of new computing platforms, it is necessary to develop software with parallel computing capabilities. This is no less true for statisticians than for astrophysicists. The R programming language, which is perhaps…

Computation · Statistics 2017-09-08 George Ostrouchov , Wei-Chen Chen , Drew Schmidt

Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images represented as histograms of oriented gradients. Viewing a…

Computational Geometry · Computer Science 2019-03-29 Herbert Edelsbrunner , Ziga Virk , Hubert Wagner

Stream processing is usually done either on a tuple-by-tuple basis or in micro-batches. There are many applications where tuples over a predefined duration/window must be processed within certain deadlines. Processing such queries using…

Databases · Computer Science 2024-09-23 Saranya Chandrasekaran , S. Sudarshan

Deep learning based techniques have been recently used with promising results for data integration problems. Some methods directly use pre-trained embeddings that were trained on a large corpus such as Wikipedia. However, they may not…

Databases · Computer Science 2020-09-04 Riccardo Cappuzzo , Paolo Papotti , Saravanan Thirumuruganathan

Mathematica is a powerful application package for doing mathematics and is used almost in all branches of science. It has widespread applications ranging from quantum computation, statistical analysis, number theory, zoology, astronomy, and…

Mathematical Software · Computer Science 2015-10-29 Santanu K. Maiti