Two Sigma

Derive the SwiGLU hidden width that matches a 4x GELU FFN parameter budget

Anticipate what breaks when you bolt naive early exit onto a decoder at inference

Order the lifecycle of a single extended thinking API call

Where sparse (BM25/SPLADE) retrieval reliably beats dense embeddings

Match each retrieval technique to the specific failure it is designed to fix

Pre-filter or post-filter on metadata: which one can leave you with fewer than k results?

Design the product flow for a VLM that might misread a receipt total or a label

Match each vision-language fusion strategy to its defining property

Pick the framework that fits a long running production agent with HIL and resume after crash

Walk through the prompt structure that maximizes provider prompt cache hit rate