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 leimao.github.io
Floating Point Value Binary Representation - Lei Mao's Log Book
| | marcospereira.me
Key insights on IEEE 754 floating point numbers-Marcos Pereira
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| | Understanding floating point representation can help design systems in order to make the most out of this type.
| | nhigham.com
Half Precision Arithmetic: fp16 Versus bfloat16 - Nick Higham
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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...
| | blog.scaledcode.com
Effective Java! Avoid Float and Double If Exact Answers Are Required
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| | A dive into chapter 60 of Effective Java
| | thenumb.at
Differentiable Programming from Scratch
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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...