Agentic data science with the Data Agent Kit
cloud.google.com·7h ago
AI Research
arXiv CS.AI·10d ago·5 min read
New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction
TL;DR
A new record for the snake-in-the-box problem has been set with a length-191 snake in a 9-dimensional hypercube, surpassing the previous record of 190. This breakthrough was achieved using innovative techniques like snakepits and a learned construction algorithm called Beam Anchor.
✦ Why It Matters
Explore the new Snakepit-in-the-Box benchmark to enhance your own search algorithms in discrete mathematics.
Key Takeaways
- Investigate snakepits for expanding search spaces in graph problems.
- Utilize Beam Anchor for constructing unique paths in hypercubes.
- Apply new lower bounds to your research in higher dimensions.
- Consider the implications of these findings for discrete mathematics.
How It Works
The introduction of snakepits allows for the combination of multiple disjoint snakes, which increases the potential for finding longer paths. By creating new connections between these snakes, researchers can explore a broader search space.
The Beam Anchor algorithm employs a learned approach to efficiently identify and construct these paths, leveraging supervised search techniques to optimize the discovery process.