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andrewkchan.dev
| | ai.googleblog.com
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| | [AI summary] Google Research explores using machine learning to enhance simulation methods for partial differential equations, aiming to improve computational efficiency and accuracy in scientific modeling.
| | mht.wtf
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| | [AI summary] The text discusses an optimization technique for solving linear systems in a simulation context, particularly when dealing with large, sparse matrices. By recognizing that the Hessian matrix is not actually dense but can be decomposed into a sparse matrix plus a rank-1 update, the problem is transformed from a dense solve into two sparse solves, significantly improving performance. This approach leverages the Sherman-Morrison formula and linear algebra techniques to avoid constructing a dense matrix, thereby reducing computational time and resource usage. The benefits of this method are demonstrated through micro-benchmarking in Julia, showing a substantial speedup for increasing problem sizes. The text emphasizes the importance of analyzing the...
| | blog.kummerlaender.eu
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| | Adrian Kummerländer's blog on software development, linux and open source
| | preetishkakkar.wordpress.com
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| What is Nanite One of hard problems in computer graphics specifically for games is how to render unlimited polygons/triangles efficiently in real time. Artists have dreamt about a world where they don't have to worry about polycounts. Nanite is UE5 technology that tries to achieve it by implementing a very efficient yet dynamic LOD (level...