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We consider the problem of low-rank approximation of massive dense non-negative tensor data, for example to discover latent patterns in video and imaging applications. As the size of data sets grows, single workstations are hitting…

Numerical Analysis · Mathematics 2019-09-04 Srinivas Eswar , Koby Hayashi , Grey Ballard , Ramakrishnan Kannan , Michael A. Matheson , Haesun Park

Here we present qFlex, a flexible tensor network based quantum circuit simulator. qFlex can compute both exact amplitudes, essential for the verification of the quantum hardware, as well as low fidelity amplitudes, in order to mimic…

We present numerical results for the 2-flavour Schwinger model with dynamical chiral lattice fermions. We insert an approximately chiral hypercube Dirac operator into the overlap formula to construct the overlap hypercube operator. This is…

High Energy Physics - Lattice · Physics 2012-04-26 Wolfgang Bietenholz , Ivan Hip , Stanislav Shcheredin , Jan Volkholz

We investigate the algorithms for dynamical overlap fermions aiming at improving the performance for large-scale simulations. We look for the best combination of Hybrid Monte Carlo options and iterative quark solvers with respect to the…

We present BiqBin, an exact solver for linearly constrained binary quadratic problems. Our approach is based on an exact penalty method to first efficiently transform the original problem into an instance of Max-Cut, and then to solve the…

Optimization and Control · Mathematics 2022-08-15 Nicolò Gusmeroli , Timotej Hrga , Borut Lužar , Janez Povh , Melanie Siebenhofer , Angelika Wiegele

In the NISQ era, multi-programming of quantum circuits (QC) helps to improve the throughput of quantum computation. Although the crosstalk, which is a major source of noise on NISQ processors, may cause performance degradation of concurrent…

Quantum Physics · Physics 2025-01-29 Yasuhiro Ohkura , Takahiko Satoh , Rodney Van Meter

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

We present the results of an effort to accelerate a Rational Hybrid Monte Carlo (RHMC) program for lattice quantum chromodynamics (QCD) simulation for 2 flavours of staggered fermions on multiple Kepler K20X GPUs distributed on different…

High Energy Physics - Lattice · Physics 2018-05-08 Sourendu Gupta , Pushan Majumdar

We investigate the use of half-precision floating-point numbers (FP16) in mixed-precision linear solvers for lattice QCD simulations. Since the emergence of GPUs for general-purpose, mixed-precision algorithms that combine single-precision…

High Energy Physics - Lattice · Physics 2026-02-17 Issaku Kanamori , Hideo Matsufuru , Tatsumi Aoyama , Kazuyuki Kanaya , Yusuke Namekawa , Hidekatsu Nemura , Keigo Nitadori

We describe a SAT solver using both the GPU (CUDA) and the CPU with a new clause exchange strategy. The CPU runs a classic multithreaded CDCL SAT solver. EachCPU thread exports all the clauses it learns to the GPU. The GPU makes a heavy…

Artificial Intelligence · Computer Science 2020-12-08 Nicolas Prevot

Large deep learning models have demonstrated strong ability to solve many tasks across a wide range of applications. Those large models typically require training and inference to be distributed. Tensor parallelism is a common technique…

Multigrid solvers face multiple challenges on parallel computers. Two fundamental ones read as follows: Multiplicative solvers issue coarse grid solves which exhibit low concurrency and many multigrid implementations suffer from an…

Numerical Analysis · Mathematics 2020-07-02 Charles D. Murray , Tobias Weinzierl

In this paper we analyze the problem of optimal task scheduling for data centers. Given the available resources and tasks, we propose a fast distributed iterative algorithm which operates over a large scale network of nodes and allows each…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Apostolos I. Rikos , Andreas Grammenos , Evangelia Kalyvianaki , Christoforos N. Hadjicostis , Themistoklis Charalambous , Karl H. Johansson

In recent years the computational capacity of single Field Programmable Gate Arrays (FPGA) devices as well as their versatility has increased significantly. Adding to that the High Level Synthesis frameworks allowing to program such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-22 G. Korcyl , P. Korcyl

A status report is made of an on-going full QCD study on the CP-PACS aiming at a comparative analysis of the effects of improving gauge and quark actions on hadronic quantities and static quark potential. Simulations are made for four…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , G. Boyd , R. Burkhalter , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , T. Kaneko , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

In this work we present a performance exploration on Eager K-truss, a linear-algebraic formulation of the K-truss graph algorithm. We address performance issues related to load imbalance of parallel tasks in symmetric, triangular graphs by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-18 Mark Blanco , Tze Meng Low , Kyungjoo Kim

This paper makes a case for accelerating lattice-based post quantum cryptography (PQC) with memristor based crossbars, and shows that these inherently error-tolerant algorithms are a good fit for noisy analog MAC operations in crossbars. We…

Hardware Architecture · Computer Science 2023-02-02 Sarabjeet Singh , Xiong Fan , Ananth Krishna Prasad , Lin Jia , Anirban Nag , Rajeev Balasubramonian , Mahdi Nazm Bojnordi , Elaine Shi

Concurrency control algorithms are key determinants of the performance of in-memory databases. Existing algorithms are designed to work well for certain workloads. For example, optimistic concurrency control (OCC) is better than…

Databases · Computer Science 2021-06-16 Jiachen Wang , Ding Ding , Huan Wang , Conrad Christensen , Zhaoguo Wang , Haibo Chen , Jinyang Li

Iterative methods for solving large sparse systems of linear equations are widely used in many HPC applications. Extreme scaling of these methods can be difficult, however, since global communication to form dot products is typically…

Mathematical Software · Computer Science 2020-09-29 Nick Brown , J. Mark Bull , Iain Bethune

Every processor with multiple cores sharing a cache needs to implement a cache-replacement algorithm. Previous work demonstrated that the competitive ratio of a large class of online algorithms, including Least-Recently-Used (LRU), grows…

Data Structures and Algorithms · Computer Science 2020-11-05 Shahin Kamali , Helen Xu