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www.rorydriscoll.com
| | www.hhyu.org
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| | Science, programming, books, and other interesting stuff
| | frozenfractal.com
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| | I didn't have time during the holidays to implement any new features, so enjoy this filler post that I prepared earlier! In the very first post in this series, I wrote: The prototype took place on a rectangular map, with the left side wrapping around to the right to form a cylinder. [...] Many games do this and get away with it, but because I'm a perfectionist, I want my game to take place on an actual sphere. Today I'm going to write up in some detail why spheres are harder to work with.
| | thenumb.at
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| | Or, where does that \(\sin\theta\) come from? Integrating functions over spheres is a ubiquitous task in graphicsand a common source of confusion for beginners. In particular, understanding why integration in spherical coordinates requires multiplying by \(\sin\theta\) takes some thought. The Confusion So, we want to integrate a function \(f\) over the unit sphere. For simplicity, lets assume \(f = 1\). Integrating \(1\) over any surface computes the area of that surface: for a unit sphere, we should end...
| | sirupsen.com
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| [AI summary] The article provides an in-depth explanation of how to build a neural network from scratch, focusing on the implementation of a simple average function and the introduction of activation functions for non-linear tasks. It discusses the use of matrix operations, the importance of GPUs for acceleration, and the role of activation functions like ReLU. The author also outlines next steps for further exploration, such as expanding the model, adding layers, and training on datasets like MNIST.