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We introduce a novel architecture and computational framework for formal, automated analysis of systems with a broad set of nonlinearities in the feedback loop, such as neural networks, vision controllers, switched systems, and even simple…

Optimization and Control · Mathematics 2018-05-02 Ivan Papusha , Ufuk Topcu , Steven Carr , Niklas Lauffer

Unfitted finite element methods have emerged as a popular alternative to classical finite element methods for the solution of partial differential equations and allow modeling arbitrary geometries without the need for a boundary-conforming…

Numerical Analysis · Mathematics 2021-03-19 S. Saberi , G. Meschke , A. Vogel

A new parallel computing framework has been developed to use with general-purpose radiation transport codes. The framework was implemented as a C++ module that uses MPI for message passing. The module is significantly independent of…

Accelerator Physics · Physics 2012-02-13 M. A. Kostin , N. V. Mokhov , K. Niita

The automated finite element analysis of complex CAD models using boundary-fitted meshes is rife with difficulties. Immersed finite element methods are intrinsically more robust but usually less accurate. In this work, we introduce an…

Numerical Analysis · Mathematics 2026-01-28 Eky Febrianto , Jakub Sistek , Pavel Kus , Matija Kecman , Fehmi Cirak

Accurately and efficiently simulating complex fluid dynamics is a challenging task that has traditionally relied on computationally intensive methods. Neural network-based approaches, such as convolutional and graph neural networks, have…

Machine Learning · Computer Science 2025-03-14 Zeyi Xu , Jinfan Liu , Kuangxu Chen , Ye Chen , Zhangli Hu , Bingbing Ni

The rapid growth of AI-based Internet-of-Things applications increased the demand for high-performance edge processing engines on a low-power budget and tight area constraints. As a consequence, vector processor architectures, traditionally…

Distributed processing frameworks, such as MapReduce, Hadoop, and Spark are popular systems for processing large amounts of data. The design of efficient algorithms in these frameworks is a challenging problem, as the systems both require…

Data Structures and Algorithms · Computer Science 2019-05-07 MohammadTaghi Hajiaghayi , Silvio Lattanzi , Saeed Seddighin , Cliff Stein

In this work we present a new framework for neural networks compression with fine-tuning, which we called Neural Network Compression Framework (NNCF). It leverages recent advances of various network compression methods and implements some…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Alexander Kozlov , Ivan Lazarevich , Vasily Shamporov , Nikolay Lyalyushkin , Yury Gorbachev

Algebraic Multigrid (AMG) methods are state-of-the-art algebraic solvers for partial differential equations. Still, their efficiency depends heavily on the choice of suitable parameters and/or ingredients. Paradigmatic examples include the…

Numerical Analysis · Mathematics 2026-01-01 Paola F. Antonietti , Matteo Caldana , Lorenzo Gentile , Marco Verani

Scaling language models unlocks impressive capabilities, but the accompanying computational and memory demands make both training and deployment expensive. Existing efficiency efforts typically target either parameter sharing or adaptive…

Computation and Language · Computer Science 2025-10-28 Sangmin Bae , Yujin Kim , Reza Bayat , Sungnyun Kim , Jiyoun Ha , Tal Schuster , Adam Fisch , Hrayr Harutyunyan , Ziwei Ji , Aaron Courville , Se-Young Yun

Exponential growth in global computing demand is exacerbated due to the higher-energy requirements of conventional architectures, primarily due to energy-intensive data movement. In-memory computing with Resistive Random Access Memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-28 Huynh Q. N. Vo , Md Tawsif Rahman Chowdhury , Paritosh Ramanan , Murat Yildirim , Gozde Tutuncuoglu

Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high level of resolution is used in the appropriate areas while…

Numerical Analysis · Mathematics 2017-09-25 Florence Drui , Alexandru Fikl , Pierre Kestener , Samuel Kokh , Adam Larat , Vincent Le Chenadec , Marc Massot

Edge computing facilitates deep learning in resource-constrained environments, but challenges such as resource heterogeneity and dynamic constraints persist. This paper introduces AMP4EC, an Adaptive Model Partitioning framework designed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-07 Guilin Zhang , Wulan Guo , Ziqi Tan , Hailong Jiang

In this work, we propose a novel adaptive grid mapping approach, the Adaptive Patched Grid Map, which enables a situational aware grid based perception for autonomous vehicles. Its structure allows a flexible representation of the…

Robotics · Computer Science 2023-08-08 Thomas Wodtko , Thomas Griebel , Michael Buchholz

We present a software framework called CARAVAN, which was developed for comprehensive simulations on massive parallel computers. The framework runs user-developed simulators with various input parameters in parallel without requiring the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-20 Yohsuke Murase , Hiroyasu Matsushima , Itsuki Noda , Tomio Kamada

We present a new multigrid scheme for solving the Poisson equation with Dirichlet boundary conditions on a Cartesian grid with irregular domain boundaries. This scheme was developed in the context of the Adaptive Mesh Refinement (AMR)…

Computational Physics · Physics 2011-05-16 Thomas Guillet , Romain Teyssier

In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This…

Optimization and Control · Mathematics 2015-09-29 Reza Takapoui , Nicholas Moehle , Stephen Boyd , Alberto Bemporad

The paper presents AMGCL -- an opensource C++ library implementing the algebraic multigrid method (AMG) for solution of large sparse linear systems of equations, usually arising from discretization of partial differential equations on an…

Mathematical Software · Computer Science 2019-06-26 Denis Demidov

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

In tree based adaptive mesh refinement, elements are partitioned between processes using a space filling curve. The curve establishes an ordering between all elements that derive from the same root element, the tree. When representing more…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-10 Carsten Burstedde , Johannes Holke