arXiv:2603.09172v2 Announce Type: replace-cross
Abstract: We present improved lower bounds for five classical Ramsey numbers: $mathbfR(3, 13)$ is increased from $60$ to $61$, $mathbfR(3, 18)$ from $99$ to $100$, $mathbfR(4, 13)$ from $138$ to $139$, $mathbfR(4, 14)$ from $147$ to $148$, and $mathbfR(4, 15)$ from $158$ to $159$. These results were achieved using AlphaEvolve, an LLM-based code mutation agent. Beyond these new results, we successfully recovered lower bounds for all Ramsey numbers known to be exact, and matched the best known lower bounds across many other cases. These include bounds for which previous work does not detail the algorithms used. Virtually all known Ramsey lower bounds are derived computationally, with bespoke search algorithms each delivering a handful of results. AlphaEvolve is a single meta-algorithm yielding search algorithms for all of our results.
BadLLM-TG: A Backdoor Defender powered by LLM Trigger Generator
arXiv:2603.15692v1 Announce Type: cross Abstract: Backdoor attacks compromise model reliability by using triggers to manipulate outputs. Trigger inversion can accurately locate these triggers via a