Roadmap

🎓 Research Scientist Mind Map

25 knowledge points · click a node for its structured card

Pipeline view: stages left→right = model lifecycle (data → training → inference → optimization → MLOps → security → agentic). Dashed = cross-module.

📐Math Proofs & Whiteboard Stage🔬Experiment Design & Ablation Stage📑Paper Deep Dive & Vision Stage📈Scaling Laws & Theory Bounds Stage🌌Frontier Reasoning & DiffusionDPO Optimal Policy & Implicit Reward ProofDPO Optimal Policy & Implicit Reward ProofClick for definition & exam pointsPPO Clipped Surrogate Lower Bound ProofPPO Clipped Surrogate Lower Bound ProofClick for definition & exam pointsRoPE Complex Inner Product DerivationRoPE Complex Inner Product DerivationClick for definition & exam pointsDiffusion SDE Stochastic Calculus ProofDiffusion SDE Stochastic Calculus ProofClick for definition & exam pointsSelf-Attention Lipschitz & Spectral BoundSelf-Attention Lipschitz & Spectral BoundClick for definition & exam pointsControlled Variables & Multi-Seed VarianceControlled Variables & Multi-Seed VarianceClick for definition & exam pointsAblation Study Design & Gradient BlockingAblation Study Design & Gradient BlockingClick for definition & exam pointsGrid vs Random vs Bayesian SearchGrid vs Random vs Bayesian SearchClick for definition & exam pointsBonferroni Correction & Selection BiasBonferroni Correction & Selection BiasClick for definition & exam pointsReproducibility Checklist & DeterminismReproducibility Checklist & DeterminismClick for definition & exam points4-Step SOTA Paper Breakdown Framework4-Step SOTA Paper Breakdown FrameworkClick for definition & exam pointsResearch Taste & Strategic Topic SelectionResearch Taste & Strategic Topic SelectionClick for definition & exam pointsFundamental Novelty vs Incremental TweaksFundamental Novelty vs Incremental TweaksClick for definition & exam points3-5 Year Research Vision & Narrative3-5 Year Research Vision & NarrativeClick for definition & exam pointsPeer Review Critique & Rebuttal DefensePeer Review Critique & Rebuttal DefenseClick for definition & exam pointsChinchilla Compute-Optimal Scaling LawsChinchilla Compute-Optimal Scaling LawsClick for definition & exam pointsInference-Time Compute & Search ScalingInference-Time Compute & Search ScalingClick for definition & exam pointsTransformer Expressive Power & Turing LimitTransformer Expressive Power & Turing LimitClick for definition & exam pointsSample Complexity & Rademacher BoundsSample Complexity & Rademacher BoundsClick for definition & exam pointsOverparameterization & Neural Tangent KernelOverparameterization & Neural Tangent KernelClick for definition & exam pointsDeepSeek-R1 Pure RL & Long CoT EmergenceDeepSeek-R1 Pure RL & Long CoT EmergenceClick for definition & exam pointsProcess Reward Models PRM & Monte CarloProcess Reward Models PRM & Monte CarloClick for definition & exam pointsFlow Matching & Optimal TransportFlow Matching & Optimal TransportClick for definition & exam pointsSora Video World Models & Spacetime PatchSora Video World Models & Spacetime PatchClick for definition & exam pointsEmbodied VLA Vision-Language-Action ModelsEmbodied VLA Vision-Language-Action ModelsClick for definition & exam points
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DPO Optimal Policy & Implicit Reward ProofControlled Variables & Multi-Seed Variance4-Step SOTA Paper Breakdown FrameworkChinchilla Compute-Optimal Scaling Laws