Interesting. Apparently GPT-2 could make (up to?) 14 non-invalid moves. Also, this paper mentions a cross-entropy log-loss of 0.7 and make 10% of invalid moves after fine-tuning on 2.8M chess games. So maybe here data is the bottleneck, but assuming it’s not, GPT-4′s overall loss would be (NGPT−4/NGPT−2)0.076=(175/1.5)2∗0.016≈2x smaller than GPT-2 (cf. Fig1 on parameters), and with the strong assumption of the overall transfering directly to chess loss, and chess invalid move accuracy being inversely proportional to chess loss wins, then it would make 5% of invalid moves
Interesting. Apparently GPT-2 could make (up to?) 14 non-invalid moves. Also, this paper mentions a cross-entropy log-loss of 0.7 and make 10% of invalid moves after fine-tuning on 2.8M chess games. So maybe here data is the bottleneck, but assuming it’s not, GPT-4′s overall loss would be (NGPT−4/NGPT−2)0.076=(175/1.5)2∗0.016≈2x smaller than GPT-2 (cf. Fig1 on parameters), and with the strong assumption of the overall transfering directly to chess loss, and chess invalid move accuracy being inversely proportional to chess loss wins, then it would make 5% of invalid moves