Add inference-time-distillation-kl-clipping quickstart

[ayirpown]

This quickstart walks you through a single self-contained Snowflake Notebook that trains a small student LLM via two on-policy distillation methods, evaluates them rigorously,
and exposes the gradient-geometry intuition behind why one of them needs a stability trick.

You will run, on a Snowflake GPU compute pool:

- **OPD (On-Policy Distillation)** — student samples its own rollouts; a frozen Mixtral-8x7B teacher provides per-token reverse-KL signal on those rollouts.
- **OPSD (On-Policy Self-Distillation)** — same student plus a *self*-teacher: a frozen copy of the student that is given the gold answer in its system prompt (the "privileged

information" trick).
- KL clipping — the small change that stops OPSD from collapsing.
- Unified meta-algorithm — one unified_step function that reproduces SFT-RS, RL-outcome, OPD, and OPSD by toggling three knobs (alpha, lambda, pi_T).
- A calibrated PRM judge over the Cortex REST API — process reward model with deterministic step segmentation, hash-keyed cache, and Spearman/AUROC calibration against
verifier ground truth.
- A statistically honest evaluation suite — Wilson 95% confidence intervals, McNemar paired tests, bootstrap CIs on the gap, pass@k, and difficulty bucketing.

[github-actions]

👋 Helpful Information

💡 Non-Markdown Files in Quickstart Root

Only markdown files (.md) are typically placed in the root of quickstart folders. Other file types should be placed in the /assets folder for better organization.

• site/sfguides/src/inference-time-distillation-kl-clipping/inference_time_distillation_kl_clipping.ipynb

These are informational messages and will not block your PR from being merged.

[sfc-gh-ridasafdar]

@ayirpown all non quickstart .md files need to be in an /assets subfolder

[github-actions]

👋 Helpful Information

💡 Non-Image Files in Assets Folder

Non-image files found in /assets folders will NOT be uploaded to snowflake.com. If you are referencing them in your guide, you should link to them directly (e.g. using permanent GitHub links).

• site/sfguides/src/inference-time-distillation-kl-clipping/assets/inference_time_distillation_kl_clipping.ipynb

These are informational messages and will not block your PR from being merged.