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Formal verification of neural networks is critical for their safe adoption in real-world applications. However, designing a precise and scalable verifier which can handle different activation functions, realistic network architectures and…

Artificial Intelligence · Computer Science 2022-03-01 Mark Niklas Müller , Gleb Makarchuk , Gagandeep Singh , Markus Püschel , Martin Vechev

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as…

Optimization and Control · Mathematics 2015-03-20 Miles Lubin , Iain Dunning

Neural graphics primitives, parameterized by fully connected neural networks, can be costly to train and evaluate. We reduce this cost with a versatile new input encoding that permits the use of a smaller network without sacrificing…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Thomas Müller , Alex Evans , Christoph Schied , Alexander Keller

We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible, easy to use, and fast. We describe the main design choices…

Mathematical Software · Computer Science 2022-01-19 Hendrik Ranocha , Michael Schlottke-Lakemper , Andrew R. Winters , Erik Faulhaber , Jesse Chan , Gregor J. Gassner

Writing high-performance code requires significant expertise in the programming language, compiler optimizations, and hardware knowledge. This often leads to poor productivity and portability and is inconvenient for a non-programmer…

Performance · Computer Science 2020-09-01 Ajitesh Srivastava , Naifeng Zhang , Rajgopal Kannan , Viktor K. Prasanna

Graph algorithms play an important role in many computer science areas. In order to solve problems that can be modeled using graphs, it is necessary to use a data structure that can represent those graphs in an efficient manner. On top of…

Mathematical Software · Computer Science 2023-08-22 Cristian Frăsinaru , Emanuel Florentin Olariu

The scaling of large language models (LLMs) is currently bottlenecked by the rigidity of distributed programming. While high-performance libraries like CuBLAS and NCCL provide optimized primitives, they lack the flexibility required for…

We present MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an…

Optimization and Control · Mathematics 2026-05-26 Oscar Dowson , Xavier Gandibleux , Gökhan Kof

AMD GPUs offer state-of-the-art compute and memory bandwidth; however, peak performance AMD kernels are written in raw assembly. To address the difficulty of mapping AI algorithms to hardware, recent work proposes C++ embedded and…

This paper covers two major subjects: First, the presentation of a new open-source library called FMI.jl for integrating FMI into the Julia programming environment by providing the possibility to load, parameterize and simulate FMUs.…

Machine Learning · Computer Science 2022-09-09 Tobias Thummerer , Josef Kircher , Lars Mikelsons

We explored the possible benefits of integrating quantum simulators in a "hybrid" quantum machine learning (QML) workflow that uses both classical and quantum computations in a high-performance computing (HPC) environment. Here, we used two…

Emerging Technologies · Computer Science 2024-07-11 Samuel T. Bieberich , Michael A. Sandoval

We present a fully Julia-based, GPU-accelerated workflow for solving large-scale sparse nonlinear optimal control problems. Continuous-time dynamics are modeled and then discretized via direct transcription with \texttt{OptimalControl.jl}…

Optimization and Control · Mathematics 2025-10-08 Alexis Montoison , Jean-Baptiste Caillau

Hardware accelerators such as Graphics Processing Units (GPUs), Intel Xeon Phi co-processors (PHIs), and Field-Programmable Gate Arrays (FPGAs) are now ubiquitous in extreme-scale high performance computing (HPC), cloud, and Big data…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-16 Daniel Hanlon , Hamidreza Khalighzadeh , Ravi Reddy Manumachu , Alexey Lastovetsky

Token generation speed is critical to power the next wave of AI inference applications. GPUs significantly underperform during token generation due to synchronization overheads at kernel boundaries, utilizing only 21% of their peak memory…

Integrating computational fluid dynamics (CFD) solvers into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages. In this…

Fluid Dynamics · Physics 2025-07-22 Gabriel D. Weymouth , Bernat Font

Solving large dense linear systems and eigenvalue problems is a core requirement in many areas of scientific computing, but scaling these operations beyond a single GPU remains challenging within modern programming frameworks. While highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-22 Roeland Wiersema

The GRAPE$.$jl package (https://github.com/JuliaQuantumControl/GRAPE.jl) implements Gradient Ascent Pulse Engineering, a widely used method of quantum optimal control. Its purpose is to find controls that steer a quantum system in a…

Current climate change has posed a grand challenge in the field of numerical modeling due to its complex, multiscale dynamics. In hydrological modeling, the increasing demand for high-resolution, real-time simulations has led to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Johansell Villalobos , Daniel Caviedes-Voullième , Silvio Rizzi , Esteban Meneses

In this paper, we present an early version of a SYCL-based FFT library, capable of running on all major vendor hardware, including CPUs and GPUs from AMD, ARM, Intel and NVIDIA. Although preliminary, the aim of this work is to seed further…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-10 Vincent R. Pascuzzi , Mehdi Goli

We introduce just-in-time (JIT) compilation to the integral kernels for Gaussian-type orbitals (GTOs) to enhance the efficiency of electron repulsion integral computations. For Coulomb and exchange (JK) matrices, JIT-based algorithms yield…

Computational Physics · Physics 2026-02-24 Xiaojie Wu , Qiming Sun , Yuanheng Wang
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