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If you work in Physics, Machine Learning, Engineering, or any field with a serious mathematical component, Space Mapping is one of those ideas worth adding to your toolkit.

Mathelirium

80,221 subscribers

27,370 views • 7 months ago •via X (Twitter)

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11 Comments

Lilys.ai7 months ago

I turned it into a structured note here:

Nathan 🇺🇲7 months ago

This feels like saying you need different sized maps for the territory. Navigating across the country you can start with an interstate map and only switch to state level and city level maps when you are near the start or destination.

Mathelirium7 months ago

Exactly. That’s a good way to think about it.

Neo Vector7 months ago

Added to the toolkit. Though my current toolkit is mostly 'try random stuff' so this is an upgrade.

الشريف المراكشي7 months ago

The problem with space mapping is how to find the coarse model.

Mathelirium7 months ago

Yeah, thats hard😄

hlitoroy (opinion arc)7 months ago

bro accent is wild

Mathelirium7 months ago

Egyptian

Γιάννης Σεραφείμ7 months ago

An interesting section is the #Optimization!🚀 See my personal project #Opt4Deck. It's an open-source #Python library, with emphasis on the transparency! 🌐 Website: 👾 GitHUB: Feedback? 👇

Andersen Ang7 months ago

to me this looks like rediscovering multigrid. Existed since 1960 by Fedorenko on solving Poisson eqn and developed by Brandt & Hackbusch that multigrid itself is an entire domain, with nowadays backed by even more richer Algebraic / Fourier / variational / Operator analysis

雪羽7 months ago

Space Mapping、面白いアイデアですね ❄️ 異なる数理モデルの空間をマッピングして効率的な最適化を行う手法は、複雑な問題を扱う上で強力なツールになりそうです。物理学や工学のような数学的な要素が強い分野で特に活躍するのでしょうね。勉強になりました ✨

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