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Symbolic-numeric programming in scientific computing
Published 2024“…There is a tendency in scientific computing to create a “compiler for every problem” starting from scratch every time. …”
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Graph coarsening: from scientific computing to machine learning
Published 2022“…Abstract The general method of graph coarsening or graph reduction has been a remarkably useful and ubiquitous tool in scientific computing and it is now just starting to have a similar impact in machine learning. …”
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An analysis of scientific computing environments : a consumer's view
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Hydra-zen Framework Makes Scientific Computing Easier for Researchers
Published 2021“…Hydra-zen aims to simplify and automate the scientific computing process.…”
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SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks
Published 2021“…In this paper, we introduce SciANN, a Python package for scientific computing and physics-informed deep learning using artificial neural networks. …”
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18.086 Mathematical Methods for Engineers II, Spring 2005
Published 2005Subjects: “…Scientific computing: Fast Fourier Transform…”
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10.34 Numerical Methods Applied to Chemical Engineering, Fall 2006
Published 2017Subjects: Get full text
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Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations
Published 2021“…We propose to transformatively facilitate this training data collection process by linking machine learning (here, neural networks) with modern multiscale scientific computation (here, equation-free numerics). These equation-free techniques operate over sparse collections of small, appropriately coupled, space-time subdomains (“patches”), parsimoniously producing the required macro-scale training data. …”
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Massively parallelizing the RRT and the RRT*
Published 2013“…Algorithms that can be implemented on GPUs today are not only limited to graphics processing, but include scientific computation and beyond. This paper is concerned with massively parallel implementations of incremental sampling-based robot motion planning algorithms, namely the widely-used Rapidly-exploring Random Tree (RRT) algorithm and its asymptotically-optimal counterpart called RRT*. …”
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Understanding object-level memory access patterns across the spectrum
Published 2021“…We find that scientific computation applications exhibit distinct behaviors compared to datacenter workloads, motivating separate memory system design/optimizations.…”
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Generalized physics-informed learning through language-wide differentiable programming
Published 2021“…Copyright © 2020, for this paper by its authors. Scientific computing is increasingly incorporating the advancements in machine learning to allow for data-driven physics-informed modeling approaches. …”
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18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2003
Published 2003“…Advanced interdisciplinary introduction to modern scientific computing on parallel supercomputers. Numerical topics include dense and sparse linear algebra, N-body problems, and Fourier transforms. …”
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