{ "cells": [ { "cell_type": "markdown", "id": "a2f7c625", "metadata": {}, "source": [ "# Module 5: Per-Head Muon — Section 2.5\n", "\n", "## What this executable miniature establishes\n", "\n", "Muon uses a Newton–Schulz polynomial to make a matrix update approximately orthogonal without an SVD. Kimi K3 applies that update at attention-head granularity. This notebook splits a conventional fused-QKV projection laid out as `[Q heads, K heads, V heads]`, verifies that each head is processed independently, and compares that result with treating the fused tensor as one matrix.\n", "\n", "It is a deterministic small-matrix demonstration—not a reproduction of K3's optimizer configuration, model training, or convergence at scale." ] }, { "cell_type": "code", "execution_count": 1, "id": "13185466", "metadata": { "execution": { "iopub.execute_input": "2026-08-10T19:24:32.989266Z", "iopub.status.busy": "2026-08-10T19:24:32.989037Z", "iopub.status.idle": "2026-08-10T19:24:35.441204Z", "shell.execute_reply": "2026-08-10T19:24:35.439712Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "All deterministic per-head assertions passed.\n", "Fused QKV gradient: (24, 8) -> 6 head matrices of 4x8\n", "Mean head-local error: 0.7348\n", "Mean whole-matrix slice error: 1.1796\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch\n", "import matplotlib.pyplot as plt\n", "from pathlib import Path\n", "import subprocess, sys, tempfile\n", "repo = next((p for p in (Path.cwd(), *Path.cwd().parents) if (p / 'src').is_dir()), None)\n", "if repo is None:\n", " repo = (Path('/content') if Path('/content').is_dir() else Path(tempfile.gettempdir())) / 'build-Kimi-K3-architecture'\n", " if not (repo / 'src').is_dir():\n", " subprocess.run(['git', 'clone', '--depth', '1', 'https://github.com/mailtotanvir/build-Kimi-K3-architecture.git', str(repo)], check=True)\n", "sys.path.insert(0, str(repo))\n", "\n", "from src.training.optimizer import (\n", " newton_schulz_orthogonalize,\n", " orthogonalize_fused_attention_projection,\n", ")\n", "\n", "torch.manual_seed(25)\n", "num_heads, head_dim, in_features = 2, 4, 8\n", "fused_qkv_gradient = torch.randn(3 * num_heads * head_dim, in_features)\n", "head_view = fused_qkv_gradient.reshape(3, num_heads, head_dim, in_features)\n", "\n", "def scaled_orthogonality_error(matrix):\n", " gram = matrix @ matrix.T if matrix.shape[0] <= matrix.shape[1] else matrix.T @ matrix\n", " scale = torch.diagonal(gram).mean()\n", " return (torch.linalg.matrix_norm(gram - scale * torch.eye(gram.shape[0])) / scale).item()\n", "\n", "per_head = orthogonalize_fused_attention_projection(\n", " fused_qkv_gradient,\n", " num_heads=num_heads,\n", " head_dim=head_dim,\n", " fused_projection_count=3,\n", ")\n", "whole_matrix = newton_schulz_orthogonalize(fused_qkv_gradient, steps=5)\n", "\n", "manual = torch.stack([\n", " newton_schulz_orthogonalize(head, steps=5)\n", " for head in head_view.reshape(-1, head_dim, in_features)\n", "]).reshape_as(fused_qkv_gradient)\n", "assert torch.allclose(per_head, manual)\n", "assert not torch.allclose(per_head, whole_matrix)\n", "\n", "# A change in K head 1 cannot change the independently normalized Q head 0.\n", "changed = fused_qkv_gradient.clone()\n", "changed[head_dim:2 * head_dim] *= 100\n", "changed_per_head = orthogonalize_fused_attention_projection(\n", " changed, num_heads=num_heads, head_dim=head_dim, fused_projection_count=3\n", ")\n", "assert torch.allclose(per_head[:head_dim], changed_per_head[:head_dim])\n", "\n", "steps = list(range(6))\n", "first_head = head_view[0, 0]\n", "singular_traces = torch.stack([\n", " torch.linalg.svdvals(newton_schulz_orthogonalize(first_head, steps=step))\n", " for step in steps\n", "])\n", "head_errors = [\n", " scaled_orthogonality_error(\n", " newton_schulz_orthogonalize(first_head, steps=step)\n", " )\n", " for step in steps\n", "]\n", "assert head_errors[-1] < head_errors[0]\n", "\n", "per_head_errors = [\n", " scaled_orthogonality_error(head)\n", " for head in per_head.reshape(3, num_heads, head_dim, in_features).reshape(-1, head_dim, in_features)\n", "]\n", "whole_slice_errors = [\n", " scaled_orthogonality_error(head)\n", " for head in whole_matrix.reshape(3, num_heads, head_dim, in_features).reshape(-1, head_dim, in_features)\n", "]\n", "assert sum(per_head_errors) / len(per_head_errors) < sum(whole_slice_errors) / len(whole_slice_errors)\n", "\n", "print(\"All deterministic per-head assertions passed.\")\n", "print(f\"Fused QKV gradient: {tuple(fused_qkv_gradient.shape)} -> {3 * num_heads} head matrices of {head_dim}x{in_features}\")\n", "print(f\"Mean head-local error: {sum(per_head_errors) / len(per_head_errors):.4f}\")\n", "print(f\"Mean whole-matrix slice error: {sum(whole_slice_errors) / len(whole_slice_errors):.4f}\")\n", "\n", "fig, (ax_sv, ax_error, ax_compare) = plt.subplots(1, 3, figsize=(16, 4))\n", "for singular_index in range(head_dim):\n", " ax_sv.plot(steps, singular_traces[:, singular_index].numpy(), marker='o', label=f'sigma {singular_index + 1}')\n", "ax_sv.set_title(\"Head 0 singular values across Newton–Schulz steps\")\n", "ax_sv.set_xlabel(\"Iteration\")\n", "ax_sv.set_ylabel(\"Singular value\")\n", "ax_sv.grid(True, alpha=0.3)\n", "ax_sv.legend(fontsize=8)\n", "\n", "ax_error.plot(steps, head_errors, marker='o', color='#38bdf8')\n", "ax_error.set_title(\"Head 0 scaled orthogonality error\")\n", "ax_error.set_xlabel(\"Iteration\")\n", "ax_error.set_ylabel(r\"||X X^T - sI||_F / s\")\n", "ax_error.grid(True, alpha=0.3)\n", "\n", "ax_compare.bar(\n", " [\"per-head\", \"whole fused\"],\n", " [sum(per_head_errors) / len(per_head_errors), sum(whole_slice_errors) / len(whole_slice_errors)],\n", " color=['#34d399', '#fb7185'],\n", ")\n", "ax_compare.set_title(\"Per-head geometry after 5 steps\")\n", "ax_compare.set_ylabel(\"Mean head-local error\")\n", "ax_compare.grid(True, axis='y', alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }