Using Ray Tracing to Solve PDEs

Estimated Reading Time: 2 minutes

TL;DR

Today we have a short post covering some interesting scientific news from around the web, notably a new paper adapting techniques from graphics to accelerate solutions of partial differential equations, research from DeepMind on learning economic behaviors, and a tutorial on motives.

Interesting Links from Around the Web

• A fascinating, long Twitter thread about a new paper that adapts rendering techniques from graphics to solve partial differential equations via the Feynman-Kac formula

Keenan Crane @keenanisalive

Models in engineering & science have *way* more complexity in geometry/materials than what conventional solvers can handle. But imagine if simulation was like Monte Carlo rendering: just load up a complex model and hit "go"; don't worry about meshing, basis functions, etc. [1/n]

• https://www.deepmind.com/publications/emergent-bartering-behaviour-in-multi-agent-reinforcement-learning: Research from DeepMind shows how deep reinforcement learning agents can learn basic economic behaviors such as trading.

• A tutorial thread on the mysterious subject of “motives” in algebraic geometry

John Carlos Baez @johncarlosbaez

Hardcore math tweet: a tiny taste of 'motives' in algebraic geometry. Q: What do you get if you remove a point from the projective line? Boring answer: the affine line. Cool answer: the Lefschetz motive. (1/n)

• https://www.nextplatform.com/2022/05/18/the-most-obvious-hyperscaler-to-do-custom-chips-was-always-facebook/: Meta is building out a team to design its own chips.

• https://www.nextplatform.com/2022/05/10/turning-a-million-qubit-quantum-computing-dream-into-reality/: Intel is making progress towards large scale spin qubit systems.

• https://spectrum.ieee.org/darpa-liberty-lifter: DARPA is interested in new sea planes that fly close to sea level for increased efficiency.

• https://nautil.us/you-eat-a-credits-card-worth-of-plastic-every-week-17950/: A jarring story on the growing science around microplastics

• https://spectrum.ieee.org/delivery-drones-uk: Drone delivery may be finding a market niche in delivery to remote UK islands

• https://github.blog/2022-05-19-math-support-in-markdown/: Github adds mathjax support to Github markdown.

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About

Deep Into the Forest is a newsletter by Deep Forest Sciences, Inc. We’re a deep tech R&D company building Chiron, an AI-powered scientific discovery engine. Deep Forest Sciences leads the development of the open source DeepChem ecosystem. Partner with us to apply our foundational AI technologies to hard real-world problems. Get in touch with us at partnerships@deepforestsci.com! 

Credits

Author: Bharath Ramsundar, Ph.D.

Editor: Sandya Subramanian, Ph.D.