Microsoft Researcher and Collaborator Prove 31-Year-Old KLS Conjecture

Microsoft Research announced on October 21, 2026 that Xinzhi Zhang, a senior researcher in its Machine Learning and Optimization group, and collaborator Zhao Song have proved the Kannan–Lovász–Simonovits conjecture, a 31-year-old problem in high-dimensional geometry and probability, using a human-directed agentic AI research process. The Conjecture and the New Bound The proof appears in the…

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PHP Patches Two Critical RCE Flaws Found with Frontier AI Models

The PHP project released PHP 8.5.12, 8.4.27, 8.3.36, and 8.2.35 on October 21, 2026, security releases that fix two critical vulnerabilities that can allow unauthenticated remote code execution and that were discovered with frontier AI models. The coordinated disclosure spanned the PHP project, OpenAI, security research firm Calif, and cloud security company Wiz. The Patched…

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