{ "cells": [ { "cell_type": "markdown", "id": "f26ef9f9", "metadata": {}, "source": [ "# Module 3: Stable LatentMoE — Executed Miniature and Evidence Boundary\n", "\n", "## What this executable miniature establishes\n", "\n", "The local `StableLatentMoE` module is a deterministic **routed-only** MoE miniature. It performs a router softmax, selects top-k experts, renormalizes the selected routing weights, computes separate gate and up projections for each selected expert, calls the repository's two-branch `SiTUGLU`, RMS-normalizes that hidden result, and adds the weighted expert outputs.\n", "\n", "During `train()` mode, the historical `QuantileLoadBalancer` class updates a per-expert bias from an exponential moving average (EMA) of selected-expert **counts**. It is not the paper's score-margin quantile algorithm: the local bias is added before a later router softmax and therefore can affect both later selection and later normalized mixture weights.\n", "\n", "## Paper-scoped mechanisms not executed here\n", "\n", "Section 2.3 reports shared full-width computation, latent routed experts, 896 routed experts, 16 active experts, and score-margin Quantile Balancing. This repository module has **no latent compression and no shared-expert path**. The evidence below makes no claim about those absent contributions, paper-scale balance, training stability, or perplexity." ] }, { "cell_type": "code", "execution_count": 1, "id": "f6321457", "metadata": { "execution": { "iopub.execute_input": "2026-08-10T19:43:48.155284Z", "iopub.status.busy": "2026-08-10T19:43:48.155072Z", "iopub.status.idle": "2026-08-10T19:43:50.193375Z", "shell.execute_reply": "2026-08-10T19:43:50.192072Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Two-branch SiTU-GLU assertions passed.\n", "Observed |SiTU-GLU| maximum: 15.997095\n", "Implementation bound beta_1 * beta_2: 16.0\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.architecture.stable_latent_moe import SiTUGLU\n", "\n", "torch.manual_seed(20260810)\n", "situ = SiTUGLU(beta_1=4.0, beta_2=4.0)\n", "x = torch.linspace(-20.0, 20.0, 401)\n", "\n", "# These are the actual two branches used in SiTUGLU.forward, with the same\n", "# input on both branches only to make a one-dimensional comparison readable.\n", "gate_branch = situ.beta_1 * torch.tanh(x / situ.beta_1) * torch.sigmoid(x)\n", "up_branch = situ.beta_2 * torch.tanh(x / situ.beta_2)\n", "situ_product = situ(x, x)\n", "swiglu_product = (x * torch.sigmoid(x)) * x\n", "expected_product = gate_branch * up_branch\n", "\n", "assert torch.allclose(situ_product, expected_product)\n", "assert torch.all(situ_product.abs() <= situ.beta_1 * situ.beta_2)\n", "assert situ_product[-1] > situ_product[len(situ_product) // 2]\n", "\n", "print(\"Two-branch SiTU-GLU assertions passed.\")\n", "print(f\"Observed |SiTU-GLU| maximum: {situ_product.abs().max().item():.6f}\")\n", "print(f\"Implementation bound beta_1 * beta_2: {situ.beta_1 * situ.beta_2:.1f}\")\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "axes[0].plot(x.numpy(), gate_branch.numpy(), color=\"#34d399\", label=\"implemented gate branch\")\n", "axes[0].plot(x.numpy(), x.numpy() * torch.sigmoid(x).numpy(), color=\"#fb7185\", linestyle=\"--\", label=\"SwiGLU gate\")\n", "axes[0].axhline(situ.beta_1, color=\"#a855f7\", linestyle=\":\")\n", "axes[0].axhline(-situ.beta_1, color=\"#a855f7\", linestyle=\":\", label=\"± beta_1\")\n", "axes[0].set_title(\"Gate branch\")\n", "axes[0].set_xlabel(\"x_gate\")\n", "axes[0].legend(fontsize=8)\n", "\n", "axes[1].plot(x.numpy(), up_branch.numpy(), color=\"#38bdf8\", label=\"implemented up branch\")\n", "axes[1].plot(x.numpy(), x.numpy(), color=\"#fb7185\", linestyle=\"--\", label=\"linear up branch\")\n", "axes[1].axhline(situ.beta_2, color=\"#a855f7\", linestyle=\":\")\n", "axes[1].axhline(-situ.beta_2, color=\"#a855f7\", linestyle=\":\", label=\"± beta_2\")\n", "axes[1].set_title(\"Up branch\")\n", "axes[1].set_xlabel(\"x_up\")\n", "axes[1].legend(fontsize=8)\n", "\n", "axes[2].plot(x.numpy(), situ_product.numpy(), color=\"#34d399\", linewidth=2, label=\"SiTU-GLU(x, x)\")\n", "axes[2].plot(x.numpy(), swiglu_product.numpy(), color=\"#fb7185\", linestyle=\"--\", label=\"SwiGLU-like product\")\n", "axes[2].axhline(situ.beta_1 * situ.beta_2, color=\"#a855f7\", linestyle=\":\")\n", "axes[2].axhline(-situ.beta_1 * situ.beta_2, color=\"#a855f7\", linestyle=\":\", label=\"± beta_1 beta_2\")\n", "axes[2].set_title(\"Actual two-branch product\")\n", "axes[2].set_xlabel(\"shared plotting input\")\n", "axes[2].legend(fontsize=8)\n", "for axis in axes:\n", " axis.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "40d547ac", "metadata": { "execution": { "iopub.execute_input": "2026-08-10T19:43:50.195645Z", "iopub.status.busy": "2026-08-10T19:43:50.195383Z", "iopub.status.idle": "2026-08-10T19:43:50.690085Z", "shell.execute_reply": "2026-08-10T19:43:50.688690Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Controlled top-k routing and contribution reconstruction passed.\n", "Top-k experts by token: [[0, 1], [2, 1]]\n", "Selected, renormalized weights: [[0.7310585975646973, 0.2689414322376251], [0.7310585975646973, 0.2689414322376251]]\n", "Selected-expert counts (training batch): [1.0, 2.0, 1.0, 0.0]\n", "Count-EMA routing biases after one training forward: [0.0, -0.0010000000474974513, 0.0, 0.0010000000474974513]\n", "Local branch coverage: routed contribution only; latent compression = absent; shared expert = absent.\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch.nn.functional as F\n", "\n", "from src.architecture.stable_latent_moe import StableLatentMoE\n", "\n", "# A controlled router makes selected experts and their contributions auditable.\n", "moe = StableLatentMoE(d_model=2, d_hidden=3, num_experts=4, top_k=2)\n", "with torch.no_grad():\n", " moe.router.weight.copy_(torch.tensor([\n", " [1.0, 0.0],\n", " [0.0, 1.0],\n", " [-1.0, 0.0],\n", " [0.0, -1.0],\n", " ]))\n", "tokens = torch.tensor([[[2.0, 1.0], [-2.0, 1.0]]])\n", "\n", "moe.eval()\n", "before_eval_biases = moe.load_balancer.routing_biases.clone()\n", "with torch.no_grad():\n", " output, routing_weights = moe(tokens)\n", "topk_weights, topk_indices = torch.topk(routing_weights, k=moe.top_k, dim=-1)\n", "selected_weights = topk_weights / topk_weights.sum(dim=-1, keepdim=True)\n", "\n", "assert output.shape == tokens.shape\n", "assert torch.equal(topk_indices, torch.tensor([[0, 1], [2, 1]]))\n", "assert torch.allclose(selected_weights.sum(dim=-1), torch.ones(tokens.shape[1]))\n", "assert torch.equal(moe.load_balancer.routing_biases, before_eval_biases)\n", "\n", "# Reconstruct the exact per-expert terms used by StableLatentMoE.forward.\n", "x_flat = tokens.reshape(-1, moe.d_model)\n", "contributions = torch.zeros(x_flat.shape[0], moe.num_experts, moe.d_model)\n", "with torch.no_grad():\n", " for expert_index in range(moe.num_experts):\n", " expert_mask = topk_indices == expert_index\n", " token_index, topk_position = torch.where(expert_mask)\n", " if token_index.numel() > 0:\n", " expert_tokens = x_flat[token_index]\n", " hidden = moe.situ_glu(\n", " moe.gate_projs[expert_index](expert_tokens),\n", " moe.up_projs[expert_index](expert_tokens),\n", " )\n", " hidden_normed = F.rms_norm(hidden, (hidden.shape[-1],))\n", " expert_out = moe.down_projs[expert_index](hidden_normed)\n", " contributions[token_index, expert_index] = (\n", " expert_out * selected_weights[token_index, topk_position].unsqueeze(-1)\n", " )\n", "\n", "assert torch.allclose(output.reshape_as(x_flat), contributions.sum(dim=1), atol=1e-6)\n", "for token_index in range(x_flat.shape[0]):\n", " unselected = torch.ones(moe.num_experts, dtype=torch.bool)\n", " unselected[topk_indices[token_index]] = False\n", " assert torch.count_nonzero(contributions[token_index, unselected]) == 0\n", "\n", "# The forward method updates count EMA/biases only in train mode, after this\n", "# batch's routing has been calculated. It does not calculate a quantile.\n", "moe.train()\n", "with torch.no_grad():\n", " _, training_routing_weights = moe(tokens)\n", "training_topk_indices = torch.topk(training_routing_weights, k=moe.top_k, dim=-1).indices\n", "selected_counts = torch.bincount(training_topk_indices.reshape(-1), minlength=moe.num_experts).float()\n", "expected_ema_counts = 0.1 * selected_counts\n", "expected_biases = moe.load_balancer.gamma * (expected_ema_counts.mean() - expected_ema_counts)\n", "assert torch.allclose(moe.load_balancer.expert_counts, expected_ema_counts)\n", "assert torch.allclose(moe.load_balancer.routing_biases, expected_biases)\n", "assert moe.load_balancer.routing_biases[1] < 0\n", "\n", "print(\"Controlled top-k routing and contribution reconstruction passed.\")\n", "print(\"Top-k experts by token:\", topk_indices.tolist())\n", "print(\"Selected, renormalized weights:\", selected_weights.tolist())\n", "print(\"Selected-expert counts (training batch):\", selected_counts.tolist())\n", "print(\"Count-EMA routing biases after one training forward:\", moe.load_balancer.routing_biases.tolist())\n", "print(\"Local branch coverage: routed contribution only; latent compression = absent; shared expert = absent.\")\n", "\n", "contribution_norms = contributions.norm(dim=-1)\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "image = axes[0].imshow(routing_weights.numpy(), aspect=\"auto\", cmap=\"viridis\")\n", "axes[0].set_title(\"Router probabilities before top-k\")\n", "axes[0].set_xlabel(\"Expert\")\n", "axes[0].set_ylabel(\"Token\")\n", "axes[0].set_xticks(range(moe.num_experts))\n", "fig.colorbar(image, ax=axes[0], label=\"probability\")\n", "\n", "image = axes[1].imshow(contribution_norms.numpy(), aspect=\"auto\", cmap=\"magma\")\n", "axes[1].set_title(\"Weighted routed contribution norm\")\n", "axes[1].set_xlabel(\"Expert\")\n", "axes[1].set_ylabel(\"Token\")\n", "axes[1].set_xticks(range(moe.num_experts))\n", "fig.colorbar(image, ax=axes[1], label=\"L2 norm\")\n", "\n", "expert_ids = list(range(moe.num_experts))\n", "axes[2].bar([index - 0.18 for index in expert_ids], selected_counts.numpy(), width=0.36, label=\"batch selections\")\n", "axes[2].bar([index + 0.18 for index in expert_ids], moe.load_balancer.routing_biases.numpy(), width=0.36, label=\"post-update bias\")\n", "axes[2].axhline(0, color=\"black\", linewidth=0.8)\n", "axes[2].set_title(\"Implemented count-EMA bias update\")\n", "axes[2].set_xlabel(\"Expert\")\n", "axes[2].set_xticks(expert_ids)\n", "axes[2].legend(fontsize=8)\n", "axes[2].grid(True, axis=\"y\", alpha=0.3)\n", "\n", "fig.suptitle(\"Executed local miniature; no latent-compression or shared-expert contribution exists\")\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 }