{
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 "cells": [
  {
   "id": "7cd6fc0d0a284ec9a3af47ae9d51f18b",
   "metadata": {
    "deepnote_block_id": "7cd6fc0d0a284ec9a3af47ae9d51f18b",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "20d3b8e63fe3ba1036153cc123785a4fd73fbe278764bc15b1999a5b0762d5f7"
   },
   "source": "# VAE：ELBO 比对数似然少在哪里？\n\n**先预测。** 如果近似后验 $q(z\\mid x)$ 等于真实后验，ELBO 与 $\\log p(x)$ 是否一样？如果只是把重构误差压低，ELBO 就一定提高吗？\n\n本册选择一个能手算积分的高斯模型，使每个近似步骤都可以对照精确答案。你将实际计算下界缺口、Monte Carlo 误差、路径梯度和一次小型优化。原有解析计算只用 Python 标准库；新增可视化另用 NumPy、matplotlib。\n\n**本轮入口：先看下面的保存图，再只改一个参数。** 原有可手算代码与推导完整保留在后面。",
   "cell_type": "markdown"
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deepnote_block_id": "f4828e7850c14db2a2458548e10bc1da"
   },
   "source": "## 先看问题与保存结果\n\n这册固定一个可解高斯生成模型，只优化一个观测的近似后验 q。它让两种 KL、重建项和 ELBO 缺口都可核对；真正共享图像编码器与解码器的学习在 LAB07。\n\n![这册固定一个可解高斯生成模型，只优化一个观测的近似后验 q。它让两种 KL、重建项和 ELBO 缺口都可核对；真正共享图像编码器与解码器的学习在 LAB07。](https://codingai-lec04.pages.dev/assets/labs-v13/lab02-density-and-terms.png)\n\n[连续概念解释](https://codingai-lec04.pages.dev/lecture.html#ch03)。读完后留下一个结果：固定量、改变项、实际观察，以及它支持的机制。"
  },
  {
   "id": "4180d8aa45214d14af57f1ac42a8817d",
   "metadata": {
    "deepnote_block_id": "4180d8aa45214d14af57f1ac42a8817d",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "8de627adcfa132df68825d1b366af52c24deabf12769bb71490eeb5fce3f92c7",
    "cloud_original_source": "## 先看保存结果：先验、真实后验与 q 怎样连到 ELBO\n\n![先验、真实后验与 q 怎样连到 ELBO：图1](https://codingai-lec04.pages.dev/assets/labs-v13/lab02-density-and-terms.png)\n\n![先验、真实后验与 q 怎样连到 ELBO：图2](https://codingai-lec04.pages.dev/assets/labs-v13/lab02-one-variable.png)\n\n灰线是采样先验，蓝线是当前观测对应的真实后验，金线是所选近似后验q。重构期望减去 KL(q||prior) 得到 ELBO；log p(x) 与 ELBO 的缺口才是 KL(q||posterior)。默认缺口约0.6195 nats。固定q方差再移动均值，只沿一条受限路径调整，不保证能让缺口到零；把均值和方差都设为真实后验才使缺口归零。\n\n**结果身份：** 2026-09-28由下方同源Python代码在本地CPU实际生成并核对。生成模型固定的一维可解潜变量实验，没有训练图像VAE。 图不是模型训练输出。\n\n保存数据、图片与代码随下载材料提供；静态图无需GPU。学生重算需要Python、NumPy、matplotlib，不发起网络请求、不打印密钥，只在当前目录写入本册输出文件夹。"
   },
   "source": "## 先看保存结果：先验、真实后验与 q 怎样连到 ELBO\n\n![先验、真实后验与 q 怎样连到 ELBO：图1](attachment:lab02-density-and-terms.png)\n\n![先验、真实后验与 q 怎样连到 ELBO：图2](attachment:lab02-one-variable.png)\n\n灰线是采样先验，蓝线是当前观测对应的真实后验，金线是所选近似后验q。重构期望减去 KL(q||prior) 得到 ELBO；log p(x) 与 ELBO 的缺口才是 KL(q||posterior)。默认缺口约0.6195 nats。固定q方差再移动均值，只沿一条受限路径调整，不保证能让缺口到零；把均值和方差都设为真实后验才使缺口归零。\n\n**结果身份：** 2026-09-28由下方同源Python代码在本地CPU实际生成并核对。生成模型固定的一维可解潜变量实验，没有训练图像VAE。 图不是模型训练输出。\n\n保存数据、图片与代码随下载材料提供；静态图无需GPU。学生重算需要Python、NumPy、matplotlib，不发起网络请求、不打印密钥，只在当前目录写入本册输出文件夹。",
   "cell_type": "markdown",
   "attachments": {
    "lab02-density-and-terms.png": {
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    },
    "lab02-one-variable.png": {
     "image/png": 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    "deepnote_block_id": "feffe28784324b47831edd639f568679",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "e2400445c41cc703fb8f2e367ec85697287edf9f81e1bde9c250db747ee657eb"
   },
   "source": "## 只改一个变量：Q_MU\n\n只改变 Q_MU（默认0.8），保持 Q_VAR=0.45、观测x=1.5与噪声标准差tau=0.5。三密度图和右侧五个量由同一参数重新计算。\n\n在下面参数区改值后运行本格；重算图会显示在输出中，并保存在 `lab02-visual-output`。接着用图中的具体变化解释，不从一次样本判断整个分布。",
   "cell_type": "markdown"
  },
  {
   "id": "b64f149041004f0d8c40a722f51846e7",
   "metadata": {
    "deepnote_block_id": "b64f149041004f0d8c40a722f51846e7",
    "deepnote_block_type": "code",
    "cloud_source_sha256": "3770864f1049edd4797046b376875b4182db69a488774bb8688624526f36e7e6",
    "execution_provenance": {
     "provider": "Deepnote",
     "run_id": "4942e449-f74d-467c-bc19-c39632231ffd",
     "completed_at": "2026-09-28T15:28:56.835Z"
    }
   },
   "source": "import math, json, platform\nfrom pathlib import Path\nimport numpy as np\nimport matplotlib.pyplot as plt\n\n# Change Q_MU only; keep Q_VAR, observed X and likelihood noise TAU fixed.\nQ_MU = .8\nQ_VAR = .45\nVIS_X = 1.5\nVIS_TAU = .5\nOUT=Path('lab02-visual-output');OUT.mkdir(exist_ok=True)\n\ndef vis_normal(z,mu,var):return np.exp(-(z-mu)**2/(2*var))/np.sqrt(2*np.pi*var)\ndef vis_kl(mu,var,m=0.,v=1.):return .5*(math.log(v/var)+(var+(mu-m)**2)/v-1)\ndef vis_elbo_terms(mu,var):\n    recon=-.5*(math.log(2*math.pi*VIS_TAU**2)+((VIS_X-mu)**2+var)/VIS_TAU**2)\n    prior=vis_kl(mu,var);elbo=recon-prior\n    evidence=-.5*(math.log(2*math.pi*(1+VIS_TAU**2))+VIS_X**2/(1+VIS_TAU**2))\n    pm=VIS_X/(1+VIS_TAU**2);pv=VIS_TAU**2/(1+VIS_TAU**2)\n    gap=vis_kl(mu,var,pm,pv)\n    assert abs(evidence-elbo-gap)<1e-10\n    return {'reconstruction':recon,'KL(q||prior)':prior,'ELBO':elbo,'log p(x)':evidence,'KL(q||posterior) = gap':gap}\n\npm=VIS_X/(1+VIS_TAU**2);pv=VIS_TAU**2/(1+VIS_TAU**2);grid=np.linspace(-3.5,4.5,500)\nterms=vis_elbo_terms(Q_MU,Q_VAR)\nfig,axes=plt.subplots(1,2,figsize=(12,4.4))\nfor mu,var,label,color in [(0,1,'prior p(z)','#9ca3af'),(pm,pv,'true posterior p(z|x)','#003262'),(Q_MU,Q_VAR,'chosen q(z|x)','#c28e0e')]:axes[0].plot(grid,vis_normal(grid,mu,var),label=label,color=color,lw=2.7)\naxes[0].set(xlabel='latent z',ylabel='Density',title=f'Observed x={VIS_X:g}; likelihood SD={VIS_TAU:g}');axes[0].legend()\nlabels=['recon','KL prior','ELBO','log p(x)','gap KL posterior'];values=list(terms.values())\naxes[1].barh(labels,values,color=['#6e96b1','#d6aa35','#003262','#688da7','#fdb515']);axes[1].axvline(0,color='#444',lw=.8)\nfor y,v in enumerate(values):axes[1].text(v,y,f' {v:.3f}',va='center',ha='left' if v>=0 else 'right')\naxes[1].set(xlabel='nats',title='Different KL terms answer different questions');axes[1].set_xlim(min(values)-3,max(values)+3)\nfig.tight_layout();fig.savefig(OUT/'lab02-density-and-terms.png',dpi=160);plt.show();plt.close(fig)\n\nmeans=np.linspace(-.4,2.7,160);all_terms=[vis_elbo_terms(mu,Q_VAR) for mu in means]\nfig,axes=plt.subplots(1,2,figsize=(12,3.7))\nfor key in ['reconstruction','ELBO','log p(x)']:axes[0].plot(means,[v[key] for v in all_terms],label=key)\nfor key in ['KL(q||prior)','KL(q||posterior) = gap']:axes[1].plot(means,[v[key] for v in all_terms],label=key)\nfor ax in axes:ax.axvline(Q_MU,color='#c28e0e',ls='--',label='chosen q mean');ax.set(xlabel='q mean (variance fixed)',ylabel='nats');ax.legend(fontsize=9)\nfig.tight_layout();fig.savefig(OUT/'lab02-one-variable.png',dpi=160);plt.show();plt.close(fig)\npayload={'kind':'analytic fixed latent-variable model; no image VAE training','X':VIS_X,'tau':VIS_TAU,'q_mu':Q_MU,'q_var':Q_VAR,'posterior':{'mu':pm,'var':pv},'terms':terms,'sweep':[{'mu':float(mu),**term} for mu,term in zip(means,all_terms)],'python':platform.python_version()}\n(OUT/'lab02-results.json').write_text(json.dumps(payload,indent=2));print(json.dumps(terms,indent=2))\n",
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1200x440 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {
      "image/png": {
       "width": 1189,
       "height": 430
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1200x370 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {
      "image/png": {
       "width": 1189,
       "height": 359
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "text": "{\n  \"reconstruction\": -2.105791352644727,\n  \"KL(q||prior)\": 0.4442538481088858,\n  \"ELBO\": -2.5500452007536127,\n  \"log p(x)\": -1.9305103088617774,\n  \"KL(q||posterior) = gap\": 0.6195348918918353\n}\n",
     "output_type": "stream"
    }
   ]
  },
  {
   "id": "8a8670b54c2d43b48fe30a989bd29e40",
   "metadata": {
    "deepnote_block_id": "8a8670b54c2d43b48fe30a989bd29e40",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "f441f39887558e4ec9a1945e6e42220b0735c4fae44e686776d8707edbce83c7"
   },
   "source": "## 本轮运行与后续阅读\n\n**本地执行与云端复核均已完成。** 2026-09-28，本册全部代码在本地CPU从空命名空间顺序执行；另通过Deepnote全本运行，状态为success，运行ID为 `4942e449-f74d-467c-bc19-c39632231ffd`，完成时间 2026-09-28T15:28:56.835Z（UTC）。运行快照检查到本册图形输出且无失败代码块。三密度与两种KL/重构项图已输出；默认ELBO缺口0.6195348919 nats，原解析等式与路径梯度检查通过。\n\n云端运行使用Python 3.13数据科学环境。平台总用时包含启动、Notebook执行与输出保存，不作为算法速度基准；五本均为小规模CPU计算，不调用外部模型或付费API。上方静态图仍明确保留其本地生成来源，云端输出是另一次实际复核。学生修改参数后得到的是自己的新结果。\n\n下面保留此前逐步计算与推导。历史本地数字保留原身份，可把图中一个关系追到对应公式。",
   "cell_type": "markdown"
  },
  {
   "id": "01b35c3bc0c74aa8a60b5fb003fa8886",
   "metadata": {
    "deepnote_block_id": "01b35c3bc0c74aa8a60b5fb003fa8886",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "ad42304d248a001fcde3d9c3dcffec72e8942f67eae2848c30ca7bae72ac0b0d"
   },
   "source": "## 固定模型与记号\n\n$z\\sim\\mathcal N(0,1)$，$x\\mid z\\sim\\mathcal N(z,\\tau^2)$，固定观测 $x=1.5$、$\\tau=0.5$。近似后验 $q(z\\mid x)=\\mathcal N(\\mu,v)$，$v=\\exp(2\\rho)>0$。\n\n本例有 $p(x)=\\mathcal N(x;0,1+\\tau^2)$，以及精确后验\n$$m_*={x\\over 1+\\tau^2},\\qquad v_*={\\tau^2\\over 1+\\tau^2}.$$\n\n因而可同时检查\n$$\\log p(x)-\\mathrm{ELBO}=\\mathrm{KL}(q(z\\mid x)\\|p(z\\mid x))\\ge0.$$\n注意右边是到**后验**的 KL；ELBO 定义中扣掉的则是到**先验**的 KL。这两个 KL 不是一项。",
   "cell_type": "markdown"
  },
  {
   "id": "713c9248d97747b6956d1a702fd63ba8",
   "metadata": {
    "deepnote_block_id": "713c9248d97747b6956d1a702fd63ba8",
    "deepnote_block_type": "code",
    "cloud_source_sha256": "f911b76a3525f9187ca4c2a8e1c6e7e994f959bf993b744571d1a74d0bb3223c",
    "execution_provenance": {
     "provider": "Deepnote",
     "run_id": "4942e449-f74d-467c-bc19-c39632231ffd",
     "completed_at": "2026-09-28T15:28:56.835Z"
    }
   },
   "source": "import math\nimport random\nimport statistics\n\nX, TAU = 1.5, 0.5\ndef log_normal(value, mean, variance):\n    return -0.5 * (math.log(2 * math.pi * variance)\n                   + (value - mean) ** 2 / variance)\n\ndef gaussian_kl(mu, variance, target_mean=0.0, target_variance=1.0):\n    return 0.5 * (math.log(target_variance / variance)\n                  + (variance + (mu - target_mean) ** 2) / target_variance - 1)\n\ndef exact_elbo(mu, variance, x=X, tau=TAU):\n    reconstruction = -0.5 * (math.log(2 * math.pi * tau * tau)\n                            + ((x - mu) ** 2 + variance) / (tau * tau))\n    kl_prior = gaussian_kl(mu, variance)\n    return reconstruction - kl_prior, reconstruction, kl_prior\n\nPOST_MEAN = X / (1 + TAU ** 2)\nPOST_VAR = TAU ** 2 / (1 + TAU ** 2)\nLOG_EVIDENCE = log_normal(X, 0, 1 + TAU ** 2)\nprint(\"exact posterior mean / variance:\", POST_MEAN, POST_VAR)\nprint(\"log p(x):\", round(LOG_EVIDENCE, 6))\nprint(\"q mean var | reconstruction | KL-prior | ELBO | evidence gap | KL-posterior\")\nfor mu, variance in [(0.0, 1.0), (1.5, 0.01), (POST_MEAN, POST_VAR)]:\n    bound, recon, kl_prior = exact_elbo(mu, variance)\n    gap = LOG_EVIDENCE - bound\n    kl_post = gaussian_kl(mu, variance, POST_MEAN, POST_VAR)\n    print(f\"{mu:.2f} {variance:.2f} | {recon:.6f} | {kl_prior:.6f} | {bound:.6f} | {gap:.6f} | {kl_post:.6f}\")\n    assert abs(gap - kl_post) < 1e-12\nassert abs(LOG_EVIDENCE - exact_elbo(POST_MEAN, POST_VAR)[0]) < 1e-12\n",
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "name": "stdout",
     "text": "exact posterior mean / variance: 1.2 0.2\nlog p(x): -1.93051\nq mean var | reconstruction | KL-prior | ELBO | evidence gap | KL-posterior\n0.00 1.00 | -6.725791 | 0.000000 | -6.725791 | 4.795281 | 4.795281\n1.50 0.01 | -0.245791 | 2.932585 | -3.178376 | 1.247866 | 1.247866\n1.20 0.20 | -0.805791 | 1.124719 | -1.930510 | 0.000000 | 0.000000\n",
     "output_type": "stream"
    }
   ]
  },
  {
   "id": "3e65ecce56544c249f3456c669401359",
   "metadata": {
    "deepnote_block_id": "3e65ecce56544c249f3456c669401359",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "d93f3bdd22a70f476b4798b39727d5351b19f31fa53f362a3955e8d96a000273"
   },
   "source": "### 历史本地保存输出（2026-09-26；本轮执行记录见开篇）\n\n```text\nexact posterior mean / variance: 1.2 0.2\nlog p(x): -1.93051\nq mean var | reconstruction | KL-prior | ELBO | evidence gap | KL-posterior\n0.00 1.00 | -6.725791 | 0.000000 | -6.725791 | 4.795281 | 4.795281\n1.50 0.01 | -0.245791 | 2.932585 | -3.178376 | 1.247866 | 1.247866\n1.20 0.20 | -0.805791 | 1.124719 | -1.930510 | 0.000000 | 0.000000\n```\n\n## 重构更准，为什么未必是更好的下界？\n\n把 $q$ 紧缩到 $z\\approx x$ 可以改善本例的期望重构对数概率，但非常小的方差有明显 KL 代价。最优近似后验是精确后验，不是无条件地把所有不确定性压成一点。\n\n这里对连续变量计算的是**对数密度**，因此一项重构对数密度可以是正数；不要套用离散概率不超过 1 的规则。改变 $\\tau$ 还会改变重构误差的尺度，比较前必须说明观测噪声模型。",
   "cell_type": "markdown"
  },
  {
   "id": "8c55303502374c0488e98af9db76da06",
   "metadata": {
    "deepnote_block_id": "8c55303502374c0488e98af9db76da06",
    "deepnote_block_type": "code",
    "cloud_source_sha256": "30204492536a3db25f0ef6104a1f7452c4e1d2f887ebe21085f03d687aa1c984",
    "execution_provenance": {
     "provider": "Deepnote",
     "run_id": "4942e449-f74d-467c-bc19-c39632231ffd",
     "completed_at": "2026-09-28T15:28:56.835Z"
    }
   },
   "source": "MU, VARIANCE = 0.8, 0.45\nRHO = 0.5 * math.log(VARIANCE)\ndef mc_elbo(mu, rho, noises, x=X, tau=TAU):\n    sigma = math.exp(rho)\n    terms = [log_normal(x, mu + sigma * eps, tau * tau) for eps in noises]\n    estimate = statistics.mean(terms) - gaussian_kl(mu, sigma * sigma)\n    se = statistics.stdev(terms) / math.sqrt(len(terms))\n    return estimate, se\n\nexact = exact_elbo(MU, VARIANCE)[0]\nrng = random.Random(20260926)\nNOISES = [rng.gauss(0, 1) for _ in range(40000)]\nprint(\"n      | estimate | standard error | estimate minus exact\")\nfor n in (100, 1000, 40000):\n    estimate, se = mc_elbo(MU, RHO, NOISES[:n])\n    print(f\"{n:6d} | {estimate:.6f} | {se:.6f} | {estimate-exact:+.6f}\")\nprint(\"analytic ELBO:\", round(exact, 6))\nestimate, se = mc_elbo(MU, RHO, NOISES)\nassert abs(estimate - exact) < 6 * se\n",
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "name": "stdout",
     "text": "n      | estimate | standard error | estimate minus exact\n   100 | -2.593677 | 0.253456 | -0.043632\n  1000 | -2.512576 | 0.069779 | +0.037469\n 40000 | -2.527719 | 0.011269 | +0.022326\nanalytic ELBO: -2.550045\n",
     "output_type": "stream"
    }
   ]
  },
  {
   "id": "0cf0fcd96fc64309a59a08cb3899a060",
   "metadata": {
    "deepnote_block_id": "0cf0fcd96fc64309a59a08cb3899a060",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "85b67dcb4df61004991ac82b41d4b1c5cba5364e57831bd8fe66b6ca61f6883f"
   },
   "source": "### 历史本地保存输出（2026-09-26；本轮执行记录见开篇）\n\n```text\nn      | estimate | standard error | estimate minus exact\n   100 | -2.593677 | 0.253456 | -0.043632\n  1000 | -2.512576 | 0.069779 | +0.037469\n 40000 | -2.527719 | 0.011269 | +0.022326\nanalytic ELBO: -2.550045\n```\n\n## 重参数化把随机数与参数分开\n\n写成 $z=\\mu+\\exp(\\rho)\\epsilon$，$\\epsilon\\sim\\mathcal N(0,1)$，每次可先固定基础噪声，再沿 $\\mu,\\rho$ 对计算路径求导。\n\n本册使用解析 KL，并只对重构期望作 Monte Carlo。**单次有限样本估计不保证仍低于 $\\log p(x)$**；下界性质约束的是精确期望。样本数增加一般减小估计方差，不保证误差在每次运行中单调下降。\n\n下一格把同一组噪声用于路径梯度与有限差分，避免把两组随机数的差异误当成导数。",
   "cell_type": "markdown"
  },
  {
   "id": "2883b383d6ee448894a73c329ec06db2",
   "metadata": {
    "deepnote_block_id": "2883b383d6ee448894a73c329ec06db2",
    "deepnote_block_type": "code",
    "cloud_source_sha256": "49a5c5f45eda3f84e7b3d5a8105c5f1d5f049caa6c37f92670f46454db2c3bce",
    "execution_provenance": {
     "provider": "Deepnote",
     "run_id": "4942e449-f74d-467c-bc19-c39632231ffd",
     "completed_at": "2026-09-28T15:28:56.835Z"
    }
   },
   "source": "def path_gradients(mu, rho, noises, x=X, tau=TAU):\n    sigma = math.exp(rho)\n    variance = sigma * sigma\n    residuals = [(x - mu - sigma * eps) / (tau * tau) for eps in noises]\n    grad_mu = statistics.mean(residuals) - mu\n    grad_rho = statistics.mean(r * sigma * eps for r, eps in zip(residuals, noises)) - (variance - 1)\n    return grad_mu, grad_rho\n\neps_grad = NOISES[:2000]\ngrad_mu, grad_rho = path_gradients(MU, RHO, eps_grad)\ndelta = 1e-5\nfd_mu = (mc_elbo(MU+delta, RHO, eps_grad)[0] - mc_elbo(MU-delta, RHO, eps_grad)[0])/(2*delta)\nfd_rho = (mc_elbo(MU, RHO+delta, eps_grad)[0] - mc_elbo(MU, RHO-delta, eps_grad)[0])/(2*delta)\nprint(\"gradient | path | finite difference | absolute difference\")\nfor name, path, finite in [(\"mu\", grad_mu, fd_mu), (\"rho\", grad_rho, fd_rho)]:\n    print(name, round(path, 8), round(finite, 8), abs(path-finite))\n    assert abs(path-finite) < 1e-7\n\nmu, rho = 0.0, 0.0\nrng_train = random.Random(17)\ninitial_gap = LOG_EVIDENCE - exact_elbo(mu, math.exp(2*rho))[0]\nfor step in range(1, 301):\n    noises = [rng_train.gauss(0, 1) for _ in range(256)]\n    gm, gr = path_gradients(mu, rho, noises)\n    lr = 0.03 / math.sqrt(1 + step / 50)\n    mu += lr * gm\n    rho += lr * gr\n    if step in (1, 20, 100, 300):\n        bound = exact_elbo(mu, math.exp(2*rho))[0]\n        print(f\"step={step:3d}, mu={mu:.5f}, var={math.exp(2*rho):.5f}, exact gap={LOG_EVIDENCE-bound:.7f}\")\nfinal_gap = LOG_EVIDENCE - exact_elbo(mu, math.exp(2*rho))[0]\nassert final_gap < 0.01 and final_gap < initial_gap\n",
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "name": "stdout",
     "text": "gradient | path | finite difference | absolute difference\nmu 1.96040634 1.96040634 2.375877272697835e-11\nrho -1.177317 -1.177317 1.532949323035382e-10\nstep=  1, mu=0.17724, var=0.78053, exact gap=3.3855988\nstep= 20, mu=1.13880, var=0.26814, exact gap=0.0331216\nstep=100, mu=1.19830, var=0.20371, exact gap=0.0000924\nstep=300, mu=1.20393, var=0.20108, exact gap=0.0000459\n",
     "output_type": "stream"
    }
   ]
  },
  {
   "id": "6f809380e5024972a8019d967e2f30c7",
   "metadata": {
    "deepnote_block_id": "6f809380e5024972a8019d967e2f30c7",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "657357535f5c5fc0f33f2206995e39067d0366451f4f9cb648765b5439934869"
   },
   "source": "### 历史本地保存输出（2026-09-26；本轮执行记录见开篇）\n\n```text\ngradient | path | finite difference | absolute difference\nmu 1.96040634 1.96040634 2.375877272697835e-11\nrho -1.177317 -1.177317 1.532949323035382e-10\nstep=  1, mu=0.17724, var=0.78053, exact gap=3.3855988\nstep= 20, mu=1.13880, var=0.26814, exact gap=0.0331216\nstep=100, mu=1.19830, var=0.20371, exact gap=0.0000924\nstep=300, mu=1.20393, var=0.20108, exact gap=0.0000459\n```\n\n## 只改一个条件：观测噪声\n\n下一格只改变 `tau`，保留观测 $x=1.5$ 和先验 $\\mathcal N(0,1)$。先预测：当解码器的观测噪声变大，后验均值会更接近观测 1.5 还是先验均值 0？后验方差会怎样变化？\n\n这一步比较的是不同概率模型的后验，不要说成“同一个 VAE 的 KL 权重实验”。修改噪声方差与任意乘一个 $\\beta$ 并不等价。",
   "cell_type": "markdown"
  },
  {
   "id": "ddf0c13863844496b669669b024e3f8f",
   "metadata": {
    "deepnote_block_id": "ddf0c13863844496b669669b024e3f8f",
    "deepnote_block_type": "code",
    "cloud_source_sha256": "3a70ff511b5f87286a5cf72d37fad03dc289b1c7637410e525da38486879b280",
    "execution_provenance": {
     "provider": "Deepnote",
     "run_id": "4942e449-f74d-467c-bc19-c39632231ffd",
     "completed_at": "2026-09-28T15:28:56.835Z"
    }
   },
   "source": "print(\"tau | posterior mean | posterior variance | optimal ELBO | log evidence\")\nfor tau in (0.2, 0.5, 1.0, 2.0):\n    post_mu = X / (1 + tau*tau)\n    post_var = tau*tau / (1 + tau*tau)\n    optimal = exact_elbo(post_mu, post_var, x=X, tau=tau)[0]\n    log_evidence = log_normal(X, 0, 1 + tau*tau)\n    print(f\"{tau:.1f} | {post_mu:.6f} | {post_var:.6f} | {optimal:.6f} | {log_evidence:.6f}\")\n    assert abs(optimal - log_evidence) < 1e-12\nprint(\"All analytic identities, finite-difference checks and seeded optimization checks passed.\")\n",
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "name": "stdout",
     "text": "tau | posterior mean | posterior variance | optimal ELBO | log evidence\n0.2 | 1.442308 | 0.038462 | -2.020280 | -2.020280\n0.5 | 1.200000 | 0.200000 | -1.930510 | -1.930510\n1.0 | 0.750000 | 0.500000 | -1.828012 | -1.828012\n2.0 | 0.300000 | 0.800000 | -1.948657 | -1.948657\nAll analytic identities, finite-difference checks and seeded optimization checks passed.\n",
     "output_type": "stream"
    }
   ]
  },
  {
   "id": "b2fb5557c34f4f7b8fd6017a96bc774f",
   "metadata": {
    "deepnote_block_id": "b2fb5557c34f4f7b8fd6017a96bc774f",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "dcd950a755ba789fccb9975d2924dab54908f0f4bdf24e8a7dfe180b479e67a3"
   },
   "source": "### 历史本地保存输出（2026-09-26；本轮执行记录见开篇）\n\n```text\ntau | posterior mean | posterior variance | optimal ELBO | log evidence\n0.2 | 1.442308 | 0.038462 | -2.020280 | -2.020280\n0.5 | 1.200000 | 0.200000 | -1.930510 | -1.930510\n1.0 | 0.750000 | 0.500000 | -1.828012 | -1.828012\n2.0 | 0.300000 | 0.800000 | -1.948657 | -1.948657\nAll analytic identities, finite-difference checks and seeded optimization checks passed.\n```\n\n## 写出你的判断\n\n用第一张表说明两个 KL 的区别；用 Monte Carlo 表报告估计值和标准误；用一次梯度检查解释为什么要固定噪声。最后用噪声扫描回答：哪个模型更信任观测，哪个模型更接近先验？\n\n若优化波动，把学习率改为原来的两倍或减半，其他条件固定。观察最终缺口和中间轨迹，不只挑一个最好的迭代。要比较方法，再使用多个种子；当前单次执行仅验证这条计算链。",
   "cell_type": "markdown"
  },
  {
   "id": "1c869186bce447a59aecee0a4b48acfb",
   "metadata": {
    "deepnote_block_id": "1c869186bce447a59aecee0a4b48acfb",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "8b0b47672fe22ff5e202c130c226f7c8b711841bfda1005908dc43e94701c6f2"
   },
   "source": "## 本册与真正 VAE 训练的距离\n\n本册固定生成模型，只优化**一个观测的变分后验参数**；没有学习神经解码器，没有跨样本共享的编码器，也不是 MNIST 图像 VAE。选可解模型是为了能检查 ELBO、随机估计和梯度的身份。\n\n真正的 amortized VAE 用编码网络为很多观测给出 $q_\\phi(z\\mid x)$，还可以同时更新生成参数 $\\theta$。重参数化这一技术来自 [Kingma & Welling, Auto-Encoding Variational Bayes](https://arxiv.org/abs/1312.6114)；本册高斯数值实验为独立教学构造。",
   "cell_type": "markdown"
  },
  {
   "id": "61012e5e3597429593ead7749e9fe770",
   "metadata": {
    "deepnote_block_id": "61012e5e3597429593ead7749e9fe770",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "7922e1f69171d7f0c3dafe6c846e4118a8ce68bbd34800167d21062912991193"
   },
   "source": "## 接回主讲\n\n回到“潜变量怎样组织变化”“VAE 的重构与分布约束”“训练需要编码、生成可以从先验开始”。生成时从先验抽样，不能把训练时使用 $q(z\\mid x)$ 的路径不加区分地照搬过去。",
   "cell_type": "markdown"
  },
  {
   "id": "441fc1fcdac14f4cb79a114b74fdc466",
   "metadata": {
    "deepnote_block_id": "441fc1fcdac14f4cb79a114b74fdc466",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "dbc0321fc59e5de76ee2112244d091b0a32542adfc255b80b7d469f6005d6ea4"
   },
   "source": "## 从课堂展开：推导、反例与变量实验\n\n先完成上面的有限例子，再按自己尚未弄清的问题选择推导。已有代码只覆盖本册明确列出的计算；后面的研究练习是可继续提出的实验，不是已经运行的结果。\n\n\n\n\n- [三个概率对象与三种检查](https://deepnote.com/project/6f83a923-d155-47be-be58-680db701ff7f/notebook/450ef87bdfb149769de691b69da7a52d?utm_source=openai&utm_medium=mcp&utm_campaign=openaimcp&utm_content=450ef87bdfb149769de691b69da7a52d&utm_term=get_notebook#ab42d9e69c0c49f2bb6b8c4005db7d9f)\n- [二维潜空间网格，应该怎样读](https://deepnote.com/project/6f83a923-d155-47be-be58-680db701ff7f/notebook/450ef87bdfb149769de691b69da7a52d?utm_source=openai&utm_medium=mcp&utm_campaign=openaimcp&utm_content=450ef87bdfb149769de691b69da7a52d&utm_term=get_notebook#cbadb7990fe34c07b07b1a9ad4506ec6)\n\n原有解释按连续主题拆到下方；本入口继续保留。",
   "cell_type": "markdown"
  },
  {
   "id": "ab42d9e69c0c49f2bb6b8c4005db7d9f",
   "metadata": {
    "deepnote_block_id": "ab42d9e69c0c49f2bb6b8c4005db7d9f",
    "deepnote_block_type": "markdown",
    "cloud_source_sha256": "7fcbeaca9ea1ecd47f05ce8856bfb061ee6451dedb11aae315d1a048b99bfeb3"
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   "source": "### 三个概率对象与三种检查\n\n本册已有可解模型分别定义先验 p(z)、真实后验 p(z|x) 与近似后验 q(z|x)。先验 KL 是 ELBO 目标的一项；后验 KL 才是 ELBO 到同一模型 log p(x) 的缺口。把 q 拉向先验未必缩小后验缺口，先用上面的解析表核对。\n\n重构、编码间插值、先验采样各自访问不同潜状态。给定固定方差 Gaussian decoder 时，平方误差解释条件均值；这不是所有 VAE 的必然外观。若想检验神经 decoder 是否使用 z，可固定其他条件分别替换、打乱或固定 z，再看任务信息是否丢失。本册解析 decoder 已被规定为依赖 z，因此它不能发现真实神经网络中的 posterior collapse；这项诊断是进一步练习，未启动新训练。\n\n重参数化 z=μ+σε 将随机来源 ε 与可学习变换分开。代码比较路径梯度、有限差分与 Monte Carlo 误差，固定噪声是为了降低对照差异；单样本导数可精确，期望梯度仍有抽样波动。VQ 的索引/码本问题另读 DERIV 的潜表示段，本高斯实验不冒充 VQ 实验。\n\n\n### MSE 从哪里来：固定方差高斯观测模型\n\n平方误差为什么能出现在概率模型里？\n\n若pθ(x|z)=N(μθ(z),σ²I)，并把σ固定，负对数似然为||x−μθ(z)||²/(2σ²)加与均值无关的常数。于是最小化该项等价于最小化平方误差。这个等价依赖高斯形式、各维协方差结构以及固定尺度；若方差也学习，或改用其他观测分布，就不能简单丢掉对应项。原课用这一例子解释重构损失，并不是宣称所有VAE都必须采用像素MSE。课程还应区分条件均值的显示效果与完整生成分布的能力。更换观测假设以后，概率归一化与对应损失也必须一并重新核对。\n\n**追问：**既然像素MSE可能鼓励平均，是否应该在所有生成模型里删掉它？\n\n不能。它在这里来自明确观测分布的负对数似然，也可能在扩散中用于预测噪声。是否合适取决于预测变量、条件信息和整体生成机制。你可以批评某个观测模型过于简单，但要指出简化在哪、带来什么可测后果。删掉损失项会改变目标，并不会自动获得更正确的概率模型。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N17.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### 高斯 KL 可以逐维算出来\n\nμ 和 σ 分别怎样受到先验约束？\n\n对q=N(μ,diag(σ²))、p=N(0,I)，KL为二分之一乘各维μⱼ²+σⱼ²−logσⱼ²−1的总和。μ为零且σ为一时该项为零；把σ压到零会让负对数尺度项变大，而不是免费获得确定编码。该式是原课高斯正则例的展开，课程可用一维滑块检查形状。要统一σ表示标准差、σ²表示方差；若代码输出log variance，应先按正确关系转换，不能把协方差直接作为重参数化乘数。可以先在一维画出曲线，再按维度求和检查高维实现；解析结果提供了独立于训练过程的数值核对标准。\n\n**追问：**把方差设得极小，编码不是更精确吗，为什么还会被罚？\n\n它可能减少训练时的重构随机性，但也使q高度集中，与宽的标准正态先验偏离。KL同时考虑分布的密度比，不只比较均值。你是在两种要求之间取舍：让潜状态解释特定x，以及让从先验采样仍有意义。更精确的单样本编码并不自动等于更好的整体生成分布。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N16.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### 一次潜变量采样，怎样服务于一个期望目标\n\n公式写期望，代码为什么常只抽一次 ε？\n\n重构项包含对q(z|x)的期望，实际小批量训练常对每个x抽一个或少量ε来估计。重复训练会访问不同数据与噪声样本，因此不要求每次把整个潜空间积分算完。单样本估计可能有较大波动，更多样本通常改变成本与估计方差；在适当条件下，它们针对同一个期望目标。与此相对，重构展示只固定一个z或使用后验均值，可能隐藏采样波动。训练估计、可视化选择与评估协议应分别记录。\n\n**追问：**我两次算同一张图的重构损失不同，是否说明模型参数偷偷变化了？\n\n不一定。即使参数固定，从q抽到的z不同也会改变解码结果和损失。先固定数据、参数和噪声，检查是否可复现；再单独释放随机噪声，观察期望估计的波动。只有把这些因素拆开，才能区分随机采样造成的正常差异、数值问题以及真正发生的参数更新。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N16.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### 一个样本的下界，怎样变成训练集目标\n\n重构和 KL 应该先对哪些维度求和、再对哪些样本平均？\n\n单样本ELBO还需要对数据分布或训练集求期望。代码常先把一个样本的像素负对数似然求和，再把潜变量KL各维求和，最后在batch维平均。如果重构按所有像素平均而KL只按batch平均，两项相对尺度会随分辨率和潜维度变化。这样的实现可以作为另一个加权目标，但不能在未说明时声称与原公式等价。本页把原课“总体目标为数据期望”展开成实现检查，避免学生只凭两个标量看起来量级接近就随意调整。\n\n**追问：**我只是把 sum 改成 mean，让训练更稳定，为什么还要在报告里说明？\n\n如果只给整项乘同一正常数，可能主要影响梯度尺度；但对重构和KL采用不同归一化，会改变两项相对权重，因而改变优化问题。分辨率变化时这个差别更明显。你可以选择这种做法，但需要明确新的目标与权重，不能把观察到的变化全部归因给模型架构或数据。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N16.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)",
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   "source": "### 二维潜空间网格，应该怎样读\n\n一张整齐的数字网格能证明哪件事？\n\n二维潜空间允许在规则网格上固定z并解码，直观看到数字形状随坐标变化。原课用MNIST示例展示这种方法。网格图的解释依赖坐标范围、采样分布和显示的是均值还是样本：均匀网格并不等于从高斯先验采样，边角可能落在低密度区域。它能够帮助定位局部失效、连续变化与表示组织，但不能从二维课堂模型直接推出大规模高维模型同样表现。实验应同时保留先验随机样本作为另一组证据。\n\n**追问：**为什么网格边缘生成得差，却不一定说明模型总体采样很差？\n\n如果边缘区域在先验下概率极低，普通随机生成很少访问它们，所以网格会放大某些低频失效。但这也不是忽略它们的理由，尤其在插值或控制任务需要访问这些区域时。应分别报告按先验加权的生成表现和指定坐标扫描的行为，两者回答不同使用场景的问题。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N18.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### KL 接近零：匹配好了，还是潜变量被忽略\n\n如何检查 decoder 是否真的使用了 z？\n\n本页是围绕原课两项目标构造的诊断任务。若许多样本的q接近同一先验，KL可能很小；与此同时，能力较强的decoder可能主要依赖自身统计而很少利用z。不能仅凭小KL宣布训练成功，也不能不看其他证据就断言发生了某种失效。可以固定其他条件，交换或打乱z，检查重构与输出分布怎样变化；同时比较真实编码、先验编码与固定编码。干预应限定在合理输入范围，防止把越界扰动造成的变化误当作语义使用证据。\n\n**追问：**只要打乱 z 后图像发生变化，就能证明潜变量学到了有用信息吗？\n\n还不够。变化说明输出对z敏感，却不证明这种敏感与解释输入或生成合理样本有关。需要检查任务相关指标、变化方向和输入是否仍在模型通常访问的区域。把敏感性、信息携带、可解释性和生成质量分开，可以避免把任何可见变化都误当成成功利用潜变量。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N18.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### 调节重构与约束的权重，会改变什么目标\n\n把 KL 系数乘十，还是同一个原始 ELBO 吗？\n\n本页课程实验将负ELBO写成重构损失加β倍先验KL，比较不同β。β为一且其他系数与似然一致时对应基础目标；任意改β一般不再等于同一观测模型的原始负ELBO。较强约束可能减少潜变量携带的信息，也可能改变先验采样表现，效果依赖模型与数据，不能预先承诺语义解耦或质量提升。实验应固定随机初始化协议、训练预算和评价方式，分别观察重构、KL、先验样本和潜变量干预，而非只比较总损失。\n\n**追问：**β变大后总损失也变大，能否直接说模型更差？\n\n不能，因为你改变了计分规则。同样的模型在更大β下就可能得到更大总损失，与能力是否退化无关。应在共同协议下比较重构、生成质量、覆盖和潜变量使用，再说明哪个用途获益或受损。调参实验有价值，但只有把目标变化与行为变化分开，结论才可解释。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N18.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)\n\n### VQ 的三条训练责任：重构、码本、编码器\n\n为什么需要分别控制哪些参数接受梯度？\n\nVQ类训练通常要让decoder重构输入、让码本靠近编码器输出，并让编码器不要任意远离被选码。原课p77提醒原始VQ-VAE采用不同的梯度权重；课程可用codebook项与commitment项的分工解释这种设计。停止梯度会使看似对称的平方距离产生不同参数更新，因此只抄标量公式不足以复现算法。不同实现也可能使用码本的移动平均更新，不能混合多个配方后仍称为同一标准实现。此页重在读懂更新对象，不要求课堂推完训练细节。\n\n**追问：**两个平方距离数值一样，为什么还要写成两项？\n\n因为停止梯度和系数可能不同，它们把更新发送给不同参数。一个项可以主要移动码本，另一个约束编码器，虽然当前标量看起来相同，优化后的变化却不一样。理解算法必须同时检查前向损失与反向路径。仅凭损失数值的代数对称，不能推断训练动力学也对称。\n\n[返回当前页说明](https://codingai-lec04.pages.dev/classroom/N19.html?view=notes)\n\n相关阅读：[Variational Autoencoder](https://mit-6s978.github.io/assets/pdfs/lec2_vae.pdf)",
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