Anthropic , the AI lab whose identity is wrapped around warning the world about AI risk, is claiming "early signs" of AI not just coding its own products but building itself. Why it matters: Anthropic co-founder Jack Clark predicted this week that there's a 60%+ chance of an AI model fully training its successor by the end of 2028. "What I'm looking at is a technological trend where, if anything, the speed will accelerate further," Clark told us. In the new research agenda for The Anthropic Institute — first shared with us, and out Thursday — the company says it's seeing signs of "AI contributing to speeding up the research and development of AI itself," a process known as recursive self-improvement. And Anthropic researchers think the world should know.…