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randorithms.com
| | www.aleksandrhovhannisyan.com
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| | Some systems of equations do not have a unique solution, but we can find an approximate solution using the method of least squares. Applications of this method include linear and polynomial regression.
| | fredrikj.net
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| | jaketae.github.io
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| | In this post, we will take a look at Nyström approximation, a technique that I came across in Nyströmformer: A Nyström-based Algorithm for Approximating Self-Attention by Xiong et al. This is yet another interesting paper that seeks to make the self-attention algorithm more efficient down to linear runtime. While there are many intricacies to the Nyström method, the goal of this post is to provide a high level intuition of how the method can be used to approximate large matrices, and how this method was used in the aforementioned paper.
| | ch-st.de
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| An introduction to raymarching in C++ with diffuse Phong shading and ASCII-terminal output.