phira-idea-cards

name	phira-idea-cards
description	Option-card format for phira-hypothesizer (math-first ideas + end-to-end training/inference).

Use this skill when generating research directions for the Phira team.

Purpose

• Convert vague goals (or paper-derived mechanisms) into multiple actionable directions.
• Ensure each direction is internally consistent and can be handed to phira-prototyper.

Required output (option cards)

Produce 3-5 option cards. Each card MUST include:

1. Title + one-line thesis

2. Core mechanism (math-first)

• Define symbols before first use.
• Include the objective and/or update rules when applicable.
• State key assumptions explicitly.

3. Training pipeline (end-to-end)

• Data: inputs, preprocessing, split protocol, leakage risks.
• Model: modules/interfaces; key shapes if relevant.
• Objective: losses/regularisers/constraints; weighting.
• Optimisation: optimiser/schedule/stability tricks; any distributed/precision assumptions.
• Outputs: checkpoints, logs, metrics, artefacts.

4. Inference pipeline (end-to-end)

• Inputs/outputs; runtime steps (retrieval/decoding/postprocessing if any).
• Calibration/uncertainty or failure handling assumptions if relevant.

5. Failure modes and tradeoffs (ranked)

6. Validation hooks (light)

• 1-3 quick checks that would confirm the direction is implemented/plumbed correctly.
• Avoid long experiment plans.

Recommendation + handoff

End with:

• A recommended option and the criteria used.
• A handoff packet for prototyping: the minimal interfaces and unknowns to resolve.

Notation rules

• $\mathcal{C}$ denotes a set.
• Bold lowercase $\mathbf{x}$ denotes a vector; bold uppercase $\mathbf{X}$ denotes a matrix.
• Uppercase $X$ denotes a random variable; lowercase $x$ denotes a deterministic value.
• Use $...$ for inline maths and $$...$$ for display maths.