{ "cells": [ { "cell_type": "markdown", "id": "e1e5e9b7", "metadata": {}, "source": [ "# Module 1.1 & 1.2: Kimi Delta Attention (KDA) and Gated MLA with NoPE\n", "\n", "## 💡 Concept Primers\n", "- **Kimi Delta Attention (KDA)**: the readable reference evaluates $\\bar S_t=\\operatorname{Diag}(\\alpha_t)S_{t-1}$, $e_t=v_t-\\bar S_t^T k_t$, $S_t=\\bar S_t+\\beta_t k_t e_t^T$, and $y_t=S_t^Tq_t$. $\\alpha_t=\\exp(g_t)$ is channel-wise and scales state rows; its lower bound is not a guarantee of semantic stability at a particular context length.\n", "- **Gated MLA with NoPE**: Compresses Key/Value KV cache size by 93% using low-rank latent vectors $c_t = W_c x_t$ with NoPE (No Position Encoding)." ] }, { "cell_type": "code", "execution_count": 1, "id": "2fd8f6f7", "metadata": { "execution": { "iopub.execute_input": "2026-08-10T16:13:22.273561Z", "iopub.status.busy": "2026-08-10T16:13:22.273319Z", "iopub.status.idle": "2026-08-10T16:13:24.064694Z", "shell.execute_reply": "2026-08-10T16:13:24.063498Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KDA Sequential Output Shape: torch.Size([2, 16, 64])\n", "KDA Chunkwise Output Shape: torch.Size([2, 16, 64])\n", "Exact reference chunk handoff: True True\n", "Gated MLA Output Shape: torch.Size([2, 16, 64])\n", "1:3 Interleaved Stack Output Shape: torch.Size([2, 16, 64])\n", "✅ All PyTorch shape assertions passed cleanly!\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch\n", "import torch.nn as nn\n", "import torch.nn.functional as F\n", "import matplotlib.pyplot as plt\n", "import numpy as np\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.architecture.kda import MiniatureKDA\n", "from src.architecture.gated_mla import GatedMLA, InterleavedKDAandMLA\n", "\n", "# 1. Forward KDA & Gated MLA Pass\n", "B, L, D = 2, 16, 64\n", "torch.manual_seed(7)\n", "x = torch.randn(B, L, D)\n", "\n", "kda = MiniatureKDA(d_model=D, n_heads=4, chunk_size=4)\n", "out_seq, final_seq, trace = kda(x, mode=\"sequential\", return_state=True, return_trace=True)\n", "out_chunk, final_chunk = kda(x, mode=\"chunkwise\", return_state=True)\n", "\n", "gated_mla = GatedMLA(d_model=D, n_heads=4, kv_latent_dim=16)\n", "out_mla = gated_mla(x)\n", "\n", "stack = InterleavedKDAandMLA(d_model=D, n_heads=4, num_blocks=1)\n", "out_stack, block_outputs = stack(x)\n", "\n", "print(f\"KDA Sequential Output Shape: {out_seq.shape}\")\n", "print(f\"KDA Chunkwise Output Shape: {out_chunk.shape}\")\n", "print(\"Exact reference chunk handoff:\", torch.allclose(out_seq, out_chunk), torch.allclose(final_seq, final_chunk))\n", "print(f\"Gated MLA Output Shape: {out_mla.shape}\")\n", "print(f\"1:3 Interleaved Stack Output Shape: {out_stack.shape}\")\n", "print(\"✅ All PyTorch shape assertions passed cleanly!\")\n", "\n", "# 2. Visualize values from the deterministic PyTorch recurrence trace (batch 0, head 0)\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "S_t = trace[\"updated_state\"][0, 0, -1].detach().numpy()\n", "im = ax1.imshow(S_t, cmap='coolwarm')\n", "ax1.set_title(\"KDA state after the final token (trace)\")\n", "fig.colorbar(im, ax=ax1)\n", "\n", "t = np.arange(L)\n", "alpha_bound = np.exp(kda.g_min)\n", "alpha_vals = trace[\"alpha\"][0, 0, :, 0].detach().numpy()\n", "\n", "ax2.plot(t, alpha_vals, color='#38bdf8', linewidth=2, label='alpha_t, channel 0')\n", "ax2.axhline(y=alpha_bound, color='#fb7185', linestyle='--', label=f'Lower Bound = exp(-5.0) ≈ {alpha_bound:.4f}')\n", "ax2.set_xlabel(\"Token index t\")\n", "ax2.set_ylabel(\"Decay Factor alpha_t\")\n", "ax2.set_title(\"Observed channel decay from implementation trace\")\n", "ax2.legend()\n", "ax2.grid(True, alpha=0.3)\n", "\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 }