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pavpanchekha.com | ||
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www.sicpers.info
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| | | | | [AI summary] The article explains that IEEE 754 floating-point numbers are not inherently weird but are specialized tools, and encourages programmers to explore alternative number representations like decimals and posits for more general-purpose computing needs. | |
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nhigham.com
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| | | | | The 2008 revision of the IEEE Standard for Floating-Point Arithmetic introduced a half precision 16-bit floating point format, known as fp16, as a storage format. Various manufacturers have adopted fp16 for computation, using the obvious extension of the rules for the fp32 (single precision) and fp64 (double precision) formats. For example, fp16 is supported by... | |
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marc-b-reynolds.github.io
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| | | | | A sketch of a fast path filter to avoid explicit underflow checking following an addition or subtraction. | |
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thenumb.at
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| | | [AI summary] This text provides a comprehensive overview of differentiable programming, focusing on its application in machine learning and image processing. It explains the fundamentals of automatic differentiation, including forward and backward passes, and demonstrates how to implement these concepts in a custom framework. The text also discusses higher-order differentiation and its implementation in frameworks like JAX and PyTorch. A practical example is given using differentiable programming to de-blur an image, showcasing how optimization techniques like gradient descent can be applied to solve real-world problems. The text emphasizes the importance of differentiable programming in enabling efficient and flexible computation for various domains, includ... | ||