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Advanced•Modern AI
Frontier Reasoning & GRPO
DeepSeek-R1 style Group Relative Policy Optimization, rule-based RL, and test-time compute.
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Research-Level Deep Dive & Equations
Frontier reasoning models (e.g. DeepSeek-R1, OpenAI o1/o3) shift the AI paradigm from relying purely on pre-training parameter scaling () to scaling **test-time inference search compute**.
•Chain-of-Thought (CoT) Search Space: By allowing LLMs to generate tens of thousands of intermediate reasoning tokens inside <think> ... </think> blocks, models perform search-tree exploration, error verification, and hypothesis revision before outputting final answers.
•Inference Compute Scaling Laws: Empirical findings demonstrate that logarithmic increases in test-time CoT token budget yield linear improvements on complex AIME, MATH, Codeforces, and GPQA benchmarks!
Key Equations
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