Today's advances in artificial intelligence reveal a push toward more trustworthy and self-aware systems, as researchers develop models that can catch their own mistakes and explain their medical diagnoses in plain language. But these breakthroughs come as AI systems struggle to keep pace with rapidly evolving software code, highlighting the ongoing challenge of building machines that can truly adapt to our changing world. Links to all the papers we discussed: Self-rewarding correction for mathematical reasoning, MedVLM-R1: Incentivizing Medical Reasoning Capability of Vision-Language Models (VLMs) via Reinforcement Learning, R2-T2: Re-Routing in Test-Time for Multimodal Mixture-of-Experts, LongRoPE2: Near-Lossless LLM Context Window Scaling, FINEREASON: Evaluating and Improving LLMs' Deliberate Reasoning through Reflective Puzzle Solving, CODESYNC: Synchronizing Large Language Models with Dynamic Code Evolution at Scale