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Verification of software systems is a very hard problem due to the large size of program state-space. The traditional techniques (like model checking) do not scale; since they include the whole state-space by inlining the library function…

Logic in Computer Science · Computer Science 2010-05-03 Pritam Roy

Tensors, or multidimensional arrays, are data structures that can naturally represent visual data of multiple dimensions. Inherently able to efficiently capture structured, latent semantic spaces and high-order interactions, tensors have a…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Yannis Panagakis , Jean Kossaifi , Grigorios G. Chrysos , James Oldfield , Mihalis A. Nicolaou , Anima Anandkumar , Stefanos Zafeiriou

In multi-task learning several related tasks are considered simultaneously, with the hope that by an appropriate sharing of information across tasks, each task may benefit from the others. In the context of learning linear functions for…

Machine Learning · Computer Science 2008-09-12 Laurent Jacob , Francis Bach , Jean-Philippe Vert

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

Many annotation problems in computer vision can be phrased as integer linear programs (ILPs). The use of standard industrial solvers does not to exploit the underlying structure of such problems eg, the skeleton in pose estimation. The…

Computer Vision and Pattern Recognition · Computer Science 2017-09-14 Shaofei Wang , Konrad Kording , Julian Yarkony

One of the aims of Implicit Computational Complexity is the design of programming languages with bounded computational complexity; indeed, guaranteeing and certifying a limited resources usage is of central importance for various aspects of…

Logic in Computer Science · Computer Science 2014-10-24 Erika De Benedetti , Simona Ronchi Della Rocca

Binary code analysis has immense importance in the research domain of software security. Today, software is very often compiled for various Instruction Set Architectures (ISAs). As a result, cross-architecture binary code analysis has…

Software Engineering · Computer Science 2024-05-01 Iftakhar Ahmad , Lannan Luo

We present a comprehensive computational study of a class of linear system solvers, called {\it Triangle Algorithm} (TA) and {\it Centering Triangle Algorithm} (CTA), developed by Kalantari \cite{kalantari23}. The algorithms compute an…

Numerical Analysis · Mathematics 2023-04-25 Chun Lau , Bahman Kalantari

Hardware architectures and machine learning (ML) libraries evolve rapidly. Traditional compilers often fail to generate high-performance code across the spectrum of new hardware offerings. To mitigate, engineers develop hand-tuned kernels…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-18 Tim Zerrell , Jeremy Bruestle

Traditional neural architecture search (NAS) has a significant impact in computer vision by automatically designing network architectures for various tasks. In this paper, binarized neural architecture search (BNAS), with a search space of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Hanlin Chen , Li'an Zhuo , Baochang Zhang , Xiawu Zheng , Jianzhuang Liu , Rongrong Ji , David Doermann , Guodong Guo

Tensor factorizations have become increasingly popular approaches for various learning tasks on structured data. In this work, we extend the RESCAL tensor factorization, which has shown state-of-the-art results for multi-relational…

Machine Learning · Statistics 2013-06-11 Maximilian Nickel , Volker Tresp

Efficient high-performance libraries often expose multiple tunable parameters to provide highly optimized routines. These can range from simple loop unroll factors or vector sizes all the way to algorithmic changes, given that some…

Performance · Computer Science 2022-02-22 Marco Cianfriglia , Flavio Vella , Cedric Nugteren , Anton Lokhmotov , Grigori Fursin

The Basic Local Alignment Search Tool (BLAST) is currently the most popular method for searching databases of biological sequences. BLAST compares sequences via similarity defined by a weighted edit distance, which results in it being…

Biomolecules · Quantitative Biology 2020-10-29 Amir Shanehsazzadeh , David Belanger , David Dohan

We introduce a formal operational semantics that describes the fused execution of variable contraction problems, which compute indexed arithmetic over a semiring and generalize sparse and dense tensor algebra, relational algebra, and graph…

Programming Languages · Computer Science 2022-07-28 Scott Kovach , Fredrik Kjolstad

Recent methods utilize graph contrastive Learning within graph-structured user-item interaction data for collaborative filtering and have demonstrated their efficacy in recommendation tasks. However, they ignore that the difference relation…

Information Retrieval · Computer Science 2024-03-25 Jiaheng Yu , Jing Li , Yue He , Kai Zhu , Shuyi Zhang , Wen Hu

Dealing with tabular data is challenging due to partial information, noise, and heterogeneous structure. Existing techniques often struggle to simultaneously address key aspects of tabular data such as textual information, a variable number…

Machine Learning · Computer Science 2025-06-10 Wei Min Loh , Jiaqi Shang , Pascal Poupart

We present a fit-for-purpose introduction to tensors and their operations. It is envisaged to help the reader become acquainted with its underpinning concepts for the study of path signatures. The text includes exercises, solutions and many…

History and Overview · Mathematics 2025-02-26 Jack Beda , Goncalo dos Reis , Nikolas Tapia

GraphBLAS is an interface for implementing graph algorithms. Algorithms implemented using the GraphBLAS interface are cast in terms of linear algebra-like operations. However, many graph algorithms are canonically described in terms of…

Data Structures and Algorithms · Computer Science 2020-09-18 Upasana Sridhar , Mark Blanco , Rahul Mayuranath , Daniele G. Spampinato , Tze Meng Low , Scott McMillan

We introduce an extension to the CLRS algorithmic learning benchmark, prioritizing scalability and the utilization of sparse representations. Many algorithms in CLRS require global memory or information exchange, mirrored in its execution…

Machine Learning · Computer Science 2023-11-21 Julian Minder , Florian Grötschla , Joël Mathys , Roger Wattenhofer

Tensor algebra is essential for data-intensive workloads in various computational domains. Computational scientists face a trade-off between the specialization degree provided by dense tensor algebra and the algorithmic efficiency that…

Programming Languages · Computer Science 2022-11-22 Mahdi Ghorbani , Mathieu Huot , Shideh Hashemian , Amir Shaikhha