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This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

Finding a hidden partition in a random environment is a general and important problem, which contains as subproblems many famous questions, such as finding a hidden clique, finding a hidden coloring, finding a hidden bipartition etc. In…

Combinatorics · Mathematics 2014-04-16 Van Vu

We analyze several generic proximal splitting algorithms well suited for large-scale convex nonsmooth optimization. We derive sublinear and linear convergence results with new rates on the function value suboptimality or distance to the…

Optimization and Control · Mathematics 2022-01-28 Laurent Condat , Grigory Malinovsky , Peter Richtárik

Recently, researchers in Machine Learning algorithms, Computer Vision scientists, engineers and others, showed a growing interest in 3D simulators as a mean to artificially create experimental settings that are very close to those in the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Enrico Meloni , Luca Pasqualini , Matteo Tiezzi , Marco Gori , Stefano Melacci

Recent efforts in fine-tuning language models often rely on automatic data selection, commonly using Nearest Neighbors retrieval from large datasets. However, we theoretically show that this approach tends to select redundant data, limiting…

Machine Learning · Computer Science 2025-02-11 Jonas Hübotter , Sascha Bongni , Ido Hakimi , Andreas Krause

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

Information Retrieval · Computer Science 2021-03-02 B. D. M. De Zoysa , Y. A. M. M. A. Ali , M. D. I. Maduranga , Indika Perera , Saliya Ekanayake , Anil Vullikanti

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

Numerical Analysis · Mathematics 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

We present the basic idea, implementation, measured performance and performance model of FDPS (Framework for developing particle simulators). FDPS is an application-development framework which helps the researchers to develop particle-based…

Instrumentation and Methods for Astrophysics · Physics 2016-06-15 Masaki Iwasawa , Ataru Tanikawa , Natsuki Hosono , Keigo Nitadori , Takayuki Muranushi , Junichiro Makino

Approximate Nearest Neighbor Search (ANNS) underpins modern applications such as information retrieval and recommendation. With the rapid growth of vector data, efficient indexing for real-time vector search has become rudimentary. Existing…

Databases · Computer Science 2026-01-14 Yuchen Peng , Dingyu Yang , Zhongle Xie , Ji Sun , Lidan Shou , Ke Chen , Gang Chen

Approximate Nearest Neighbor Search (ANNS) is a fundamental operation in vector databases, enabling efficient similarity search in high-dimensional spaces. While dense ANNS has been optimized using specialized hardware accelerators, sparse…

Databases · Computer Science 2026-01-07 Tianqi Zhang , Flavio Ponzina , Tajana Rosing

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

This paper proposes a new algorithm for reducing Approximate Nearest Neighbor problem to Approximate Near Neighbor problem. The advantage of this algorithm is that it achieves O(log n) query time. As a reduction problem, the uery time…

Data Structures and Algorithms · Computer Science 2018-09-27 Hengzhao Ma , Jianzhong Li

This paper presents an algorithm for the efficient approximation of the saddle-extremum persistence diagram of a scalar field. Vidal et al. introduced recently a fast algorithm for such an approximation (by interrupting a progressive…

Graphics · Computer Science 2021-08-13 Jules Vidal , Julien Tierny

Particle-based shape modeling (PSM) is a family of approaches that automatically quantifies shape variability across anatomical cohorts by positioning particles (pseudo landmarks) on shape surfaces in a consistent configuration. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Hong Xu , Shireen Y. Elhabian

We have developed a highly-tuned software library that accelerates the calculation of quadrupole terms in the Barnes-Hut tree code by use of a SIMD instruction set on the x86 architecture, Advanced Vector eXtensions 2 (AVX2). Our code is…

Instrumentation and Methods for Astrophysics · Physics 2019-02-13 Tetsushi Kodama , Tomoaki Ishiyama

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

We present Swim2Real, a pipeline that calibrates a 16-parameter robotic fish simulator from swimming videos using vision-language model (VLM) feedback, requiring no hand-designed search stages. Calibrating soft aquatic robots is…

Robotics · Computer Science 2026-03-24 Kevin Qiu , Kyle Walker , Mike Y. Michelis , Marek Cygan , Josie Hughes

Finding the maximum matching in bipartite graphs is a fundamental graph operation widely used in various fields. To expedite the acquisition of the maximum matching, Karp and Sipser introduced two data reduction rules aimed at decreasing…

Data Structures and Algorithms · Computer Science 2024-12-03 Guang Wu , Xinbiao Gan , Zhengbin Pang , Bo Huang , Bopin Ran

Upcoming experiments such as the SKA will provide huge quantities of data. Fast modelling of the high-redshift 21cm signal will be crucial for efficiently comparing these data sets with theory. The most detailed theoretical predictions…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-26 William D. Jennings , Catherine A. Watkinson , Filipe B. Abdalla , Jason D. McEwen

We consider the maximum vertex-weighted matching problem (MVM), in which non-negative weights are assigned to the vertices of a graph, the weight of a matching is the sum of the weights of the matched vertices, and we are required to…

Data Structures and Algorithms · Computer Science 2018-10-12 Florin Dobrian , Mahantesh Halappanavar , Alex Pothen , Ahmed Al-Herz
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