{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(factor_analysis)=\n",
    "# Factor analysis\n",
    "\n",
    ":::{post} 19 Mar, 2022\n",
    ":tags: factor analysis, matrix factorization, PCA \n",
    ":category: advanced, how-to\n",
    ":author: Chris Hartl,  Christopher Krapu, Oriol Abril-Pla, Erik Werner\n",
    ":::"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Factor analysis is a widely used probabilistic model for identifying low-rank structure in multivariate data as encoded in latent variables. It is very closely related to principal components analysis, and differs only in the prior distributions assumed for these latent variables. It is also a good example of a linear Gaussian model as it can be described entirely as a linear transformation of underlying Gaussian variates. For a high-level view of how factor analysis relates to other models, you can check out [this diagram](https://www.cs.ubc.ca/~murphyk/Bayes/Figures/gmka.gif) originally published by Ghahramani and Roweis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ":::{include} ../extra_installs.md\n",
    ":::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running on PyMC v5.27.0\n"
     ]
    }
   ],
   "source": [
    "import arviz.preview as az\n",
    "import numpy as np\n",
    "import pymc as pm\n",
    "import pytensor.tensor as pt\n",
    "import scipy as sp\n",
    "import seaborn as sns\n",
    "import xarray as xr\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "from numpy.random import default_rng\n",
    "from xarray_einstats import linalg\n",
    "from xarray_einstats.stats import XrContinuousRV\n",
    "\n",
    "print(f\"Running on PyMC v{pm.__version__}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'retina'\n",
    "az.style.use(\"arviz-variat\")\n",
    "\n",
    "np.set_printoptions(precision=3, suppress=True)\n",
    "RANDOM_SEED = 31415\n",
    "rng = default_rng(RANDOM_SEED)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulated data generation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To work through a few examples, we'll first generate some data. The data will not follow the exact generative process assumed by the factor analysis model, as the latent variates will not be Gaussian. We'll assume that we have an observed data set with $N$ rows and $d$ columns which are actually a noisy linear function of $k_{true}$ latent variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "n = 250\n",
    "k_true = 4\n",
    "d = 10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next code cell generates the data via creating latent variable arrays `M` and linear transformation `Q`. Then, the matrix product $QM$ is perturbed with additive Gaussian noise controlled by the variance parameter `err_sd`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "err_sd = 2\n",
    "M = rng.binomial(1, 0.25, size=(k_true, n))\n",
    "Q = np.hstack([rng.exponential(2 * k_true - k, size=(d, 1)) for k in range(k_true)]) * rng.binomial(\n",
    "    1, 0.75, size=(d, k_true)\n",
    ")\n",
    "Y = np.round(1000 * Q @ M + rng.standard_normal(size=(d, n)) * err_sd) / 1000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because of the way we have generated the data, the covariance matrix expressing correlations between columns of $Y$ will be equal to $QQ^T$. The fundamental assumption of PCA and factor analysis is that $QQ^T$ is not full rank. We can see hints of this if we plot the covariance matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 623,
       "width": 821
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 3))\n",
    "sns.heatmap(np.corrcoef(Y));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you squint long enough, you may be able to glimpse a few places where distinct columns are likely linear functions of each other."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model\n",
    "Probabilistic PCA (PPCA) and factor analysis (FA) are a common source of topics on [PyMC Discourse](https://discourse.pymc.io/). The posts linked below handle different aspects of the problem including:\n",
    "* [Minibatched FA for large datasets](https://discourse.pymc.io/t/large-scale-factor-analysis-with-minibatch-advi/246)\n",
    "* [Handling missing data in FA](https://discourse.pymc.io/t/dealing-with-missing-data/252)\n",
    "* [Identifiability in FA / PPCA](https://discourse.pymc.io/t/unique-solution-for-probabilistic-pca/1324/14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Direct implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model for factor analysis is the probabilistic matrix factorization\n",
    "\n",
    "$X_{(d,n)}|W_{(d,k)}, F_{(k,n)} \\sim \\mathcal{N}(WF, \\Psi)$\n",
    "\n",
    "with $\\Psi$ a diagonal matrix. Subscripts denote the dimensionality of the matrices. Probabilistic PCA is a variant that sets $\\Psi = \\sigma^2 I$. A basic implementation (taken from [this gist](https://gist.github.com/twiecki/c95578a6539d2098be2d83575e3d15fe)) is shown in the next cell. Unfortunately, it has undesirable properties for model fitting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [W, F, sigma]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f861cbf9aac946a8b66b08d8bbd8b9d6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 12 seconds.\n",
      "The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
      "The effective sample size per chain is smaller than 100 for some parameters.  A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n"
     ]
    }
   ],
   "source": [
    "k = 2\n",
    "\n",
    "coords = {\"latent_columns\": np.arange(k), \"rows\": np.arange(n), \"observed_columns\": np.arange(d)}\n",
    "\n",
    "with pm.Model(coords=coords) as PPCA:\n",
    "    W = pm.Normal(\"W\", dims=(\"observed_columns\", \"latent_columns\"))\n",
    "    F = pm.Normal(\"F\", dims=(\"latent_columns\", \"rows\"))\n",
    "    sigma = pm.HalfNormal(\"sigma\", 1.0)\n",
    "    X = pm.Normal(\"X\", mu=W @ F, sigma=sigma, observed=Y, dims=(\"observed_columns\", \"rows\"))\n",
    "\n",
    "    trace = pm.sample(tune=2000, random_seed=rng)  # target_accept=0.9"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At this point, there are already several warnings regarding failed convergence checks. We can see further problems in the trace plot below. This plot shows the path taken by each sampler chain for a single entry in the matrix $W$ as well as the average evaluated over samples for each chain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2880x535.887 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 559,
       "width": 2903
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(\n",
    "    trace,\n",
    "    var_names=\"W\",\n",
    "    coords={\"observed_columns\": 3, \"latent_columns\": 1},\n",
    "    sample_dims=[\"draw\"],\n",
    "    figure_kwargs={\"sharey\": True},\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each chain appears to have a different sample mean and we can also see that there is a great deal of autocorrelation across chains, manifest as long-range trends over sampling iterations.\n",
    "\n",
    "One of the primary drawbacks for this model formulation is its lack of identifiability. With this model representation, only the product $WF$ matters for the likelihood of $X$, so $P(X|W, F) = P(X|W\\Omega, \\Omega^{-1}F)$ for any invertible matrix $\\Omega$. While the priors on $W$ and $F$ constrain $|\\Omega|$ to be neither too large or too small, factors and loadings can still be rotated, reflected, and/or permuted *without changing the model likelihood*. Expect it to happen between runs of the sampler, or even for the parametrization to \"drift\" within run, and to produce the highly autocorrelated $W$ traceplot above.\n",
    "\n",
    "### Alternative parametrization\n",
    "\n",
    "This can be fixed by constraining the form of W to be:\n",
    "  + Lower triangular\n",
    "  + Positive and increasing values along the diagonal\n",
    "\n",
    "We can adapt `expand_block_triangular` to fill out a non-square matrix. This function mimics `pm.expand_packed_triangular`, but while the latter only works on packed versions of square matrices (i.e. $d=k$ in our model, the former can also be used with nonsquare matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def expand_packed_block_triangular(d, k, packed, diag=None, mtype=\"pytensor\"):\n",
    "    # like expand_packed_triangular, but with d > k.\n",
    "    assert mtype in {\"pytensor\", \"numpy\"}\n",
    "    assert d >= k\n",
    "\n",
    "    def set_(M, i_, v_):\n",
    "        if mtype == \"pytensor\":\n",
    "            return pt.set_subtensor(M[i_], v_)\n",
    "        M[i_] = v_\n",
    "        return M\n",
    "\n",
    "    out = pt.zeros((d, k), dtype=float) if mtype == \"pytensor\" else np.zeros((d, k), dtype=float)\n",
    "    if diag is None:\n",
    "        idxs = np.tril_indices(d, m=k)\n",
    "        out = set_(out, idxs, packed)\n",
    "    else:\n",
    "        idxs = np.tril_indices(d, k=-1, m=k)\n",
    "        out = set_(out, idxs, packed)\n",
    "        idxs = (np.arange(k), np.arange(k))\n",
    "        out = set_(out, idxs, diag)\n",
    "    return out"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll also define another function which helps create a diagonal matrix with increasing entries along the main diagonal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def makeW(d, k, dim_names):\n",
    "    # make a W matrix adapted to the data shape\n",
    "    n_od = int(k * d - k * (k - 1) / 2 - k)\n",
    "\n",
    "    # trick: the cumulative sum of z will be positive increasing\n",
    "    z = pm.HalfNormal(\"W_z\", 1.0, dims=\"latent_columns\")\n",
    "    b = pm.Normal(\"W_b\", 0.0, 1.0, shape=(n_od,), dims=\"packed_dim\")\n",
    "    L = expand_packed_block_triangular(d, k, b, pt.ones(k))\n",
    "    W = pm.Deterministic(\"W\", L @ pt.diag(pt.extra_ops.cumsum(z)), dims=dim_names)\n",
    "    return W"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With these modifications, we remake the model and run the MCMC sampler again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [W_z, W_b, F, sigma]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "02a42030f28d428bbc208ddc4e72672e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 2_000 tune and 1_000 draw iterations (8_000 + 4_000 draws total) took 19 seconds.\n",
      "The effective sample size per chain is smaller than 100 for some parameters.  A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n"
     ]
    }
   ],
   "source": [
    "with pm.Model(coords=coords) as PPCA_identified:\n",
    "    W = makeW(d, k, (\"observed_columns\", \"latent_columns\"))\n",
    "    F = pm.Normal(\"F\", dims=(\"latent_columns\", \"rows\"))\n",
    "    sigma = pm.HalfNormal(\"sigma\", 1.0)\n",
    "    X = pm.Normal(\"X\", mu=W @ F, sigma=sigma, observed=Y, dims=(\"observed_columns\", \"rows\"))\n",
    "    trace = pm.sample(tune=2000, random_seed=rng, target_accept=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$W$ (and $F$!) now have entries with identical posterior distributions as compared between sampler chains, although it's apparent that some autocorrelation remains.\n",
    "\n",
    "Because the $k \\times n$ parameters in F all need to be sampled, sampling can become quite expensive for very large `n`. In addition, the link between an observed data point $X_i$ and an associated latent value $F_i$ means that streaming inference with mini-batching cannot be performed.\n",
    "\n",
    "This scalability problem can be addressed analytically by integrating $F$ out of the model. By doing so, we postpone any calculation for individual values of $F_i$ until later. Hence, this approach is often described as *amortized inference*. However, this fixes the prior on $F$, allowing for less modeling flexibility. In keeping with $F_{ij} \\sim \\mathcal{N}(0, I)$ we have:\n",
    "\n",
    "$X|WF \\sim \\mathcal{N}(WF, \\sigma^2 I).$\n",
    "\n",
    "We can therefore write $X$ as\n",
    "\n",
    "$X = WF + \\sigma I \\epsilon,$\n",
    "\n",
    "where $\\epsilon \\sim \\mathcal{N}(0, I)$.\n",
    "Fixing $W$ but treating $F$ and $\\epsilon$ as random variables, both $\\sim\\mathcal{N}(0, I)$, we see that $X$ is the sum of two multivariate normal variables, with means $0$ and covariances $WW^T$ and $\\sigma^2 I$, respectively. It follows that\n",
    "\n",
    "$X|W \\sim \\mathcal{N}(0, WW^T + \\sigma^2 I )$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [W_z, W_b, sigma]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5d4abe4b051a4390906e95417e833976",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 30 tune and 100 draw iterations (120 + 400 draws total) took 3 seconds.\n",
      "The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
      "The effective sample size per chain is smaller than 100 for some parameters.  A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n"
     ]
    }
   ],
   "source": [
    "with pm.Model(coords=coords) as PPCA_amortized:\n",
    "    W = makeW(d, k, (\"observed_columns\", \"latent_columns\"))\n",
    "    sigma = pm.HalfNormal(\"sigma\", 1.0)\n",
    "    cov = W @ W.T + sigma**2 * pt.eye(d)\n",
    "    # MvNormal parametrizes covariance of columns, so transpose Y\n",
    "    X = pm.MvNormal(\"X\", 0.0, cov=cov, observed=Y.T, dims=(\"rows\", \"observed_columns\"))\n",
    "    trace_amortized = pm.sample(tune=30, draws=100, random_seed=rng)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately sampling of this model is very slow, presumably because calculating the logprob of the `MvNormal` requires inverting the covariance matrix. However, the explicit integration of $F$ also enables batching the observations for faster computation of `ADVI` and `FullRankADVI` approximations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/envs/eabm/lib/python3.13/site-packages/pymc/model/core.py:1254: UserWarning: total_size not provided for observed variable `X` that uses pm.Minibatch\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "506317a9dc7e432495264a01f2b1e34f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Finished [100%]: Average Loss = 1,756.8\n"
     ]
    }
   ],
   "source": [
    "coords[\"observed_columns2\"] = coords[\"observed_columns\"]\n",
    "with pm.Model(coords=coords) as PPCA_amortized_batched:\n",
    "    W = makeW(d, k, (\"observed_columns\", \"latent_columns\"))\n",
    "    Y_mb = pm.Minibatch(\n",
    "        Y.T, batch_size=50\n",
    "    )  # MvNormal parametrizes covariance of columns, so transpose Y\n",
    "    sigma = pm.HalfNormal(\"sigma\", 1.0)\n",
    "    cov = W @ W.T + sigma**2 * pt.eye(d)\n",
    "    X = pm.MvNormal(\"X\", 0.0, cov=cov, observed=Y_mb)\n",
    "    trace_vi = pm.fit(n=50000, method=\"fullrank_advi\", obj_n_mc=1).sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results\n",
    "When we compare the posteriors calculated using MCMC and VI, we find that (for at least this specific parameter we are looking at) the two distributions are close, but they do differ in their mean. The two MCMC posteriors agree with each other quite well with each other and the ADVI estimate is not far off."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 1200x535.887 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 559,
       "width": 1211
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "col_selection = dict(observed_columns=3, latent_columns=1)\n",
    "\n",
    "dt = az.from_dict(\n",
    "    {\n",
    "        \"posterior\": {\n",
    "            \"MCMC_explicit\": trace.posterior[\"W\"].sel(**col_selection),\n",
    "            \"MCMC_amortized\": trace_amortized.posterior[\"W\"].sel(**col_selection),\n",
    "            \"FR-ADVI_amortized\": trace_vi.posterior[\"W\"].sel(**col_selection),\n",
    "        }\n",
    "    }\n",
    ")\n",
    "\n",
    "pc = az.plot_dist(\n",
    "    dt,\n",
    "    cols=None,\n",
    "    aes={\"color\": [\"__variable__\"]},\n",
    "    visuals={\n",
    "        \"title\": False,\n",
    "        \"point_estimate_text\": False,\n",
    "        \"point_estimate\": False,\n",
    "        \"credible_interval\": False,\n",
    "    },\n",
    ")\n",
    "pc.add_legend(\"__variable__\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Post-hoc identification of F\n",
    "\n",
    "The matrix $F$ is typically of interest for factor analysis, and is often used as a feature matrix for dimensionality reduction. However, $F$ has been\n",
    "marginalized away in order to make fitting the model easier; and now we need it back. Transforming\n",
    "\n",
    "$X|WF \\sim \\mathcal{N}(WF, \\sigma^2)$\n",
    "\n",
    "into\n",
    "\n",
    "$(W^TW)^{-1}W^T X|W,F \\sim \\mathcal{N}(F, \\sigma^2(W^TW)^{-1})$\n",
    "\n",
    "we have represented $F$ as the mean of a multivariate normal distribution with a known covariance matrix. Using the prior $ F \\sim \\mathcal{N}(0, I) $ and updating according to the expression for the [conjugate prior](https://en.wikipedia.org/wiki/Conjugate_prior), we find\n",
    "\n",
    "$ F | X, W \\sim \\mathcal{N}(\\mu_F, \\Sigma_F) $,\n",
    "\n",
    "where\n",
    "\n",
    "$\\mu_F = \\left(I + \\sigma^{-2} W^T W\\right)^{-1} \\sigma^{-2} W^T X$\n",
    "\n",
    "$\\Sigma_F = \\left(I + \\sigma^{-2} W^T W\\right)^{-1}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each value of $W$ and $X$ found in the trace, we now draw a sample from this distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# configure xarray-einstats\n",
    "def get_default_dims(dims, dims2):\n",
    "    proposed_dims = [dim for dim in dims if dim not in {\"chain\", \"draw\"}]\n",
    "    assert len(proposed_dims) == 2\n",
    "    if dims2 is None:\n",
    "        return proposed_dims\n",
    "\n",
    "\n",
    "linalg.get_default_dims = get_default_dims"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "post = trace_vi.posterior\n",
    "obs = trace.observed_data\n",
    "\n",
    "WW = linalg.matmul(\n",
    "    post[\"W\"], post[\"W\"], dims=(\"latent_columns\", \"observed_columns\", \"latent_columns\")\n",
    ")\n",
    "\n",
    "# Constructing an identity matrix following https://einstats.python.arviz.org/en/latest/tutorials/np_linalg_tutorial_port.html\n",
    "I = xr.zeros_like(WW)\n",
    "idx = xr.DataArray(WW.coords[\"latent_columns\"])\n",
    "I.loc[{\"latent_columns\": idx, \"latent_columns2\": idx}] = 1\n",
    "Sigma_F = linalg.inv(I + post[\"sigma\"] ** (-2) * WW)\n",
    "X_transform = linalg.matmul(\n",
    "    Sigma_F,\n",
    "    post[\"sigma\"] ** (-2) * post[\"W\"],\n",
    "    dims=(\"latent_columns2\", \"latent_columns\", \"observed_columns\"),\n",
    ")\n",
    "mu_F = xr.dot(X_transform, obs[\"X\"], dims=\"observed_columns\").rename(\n",
    "    latent_columns2=\"latent_columns\"\n",
    ")\n",
    "Sigma_chol = linalg.cholesky(Sigma_F)\n",
    "norm_dist = XrContinuousRV(sp.stats.norm, xr.zeros_like(mu_F))  # the zeros_like defines the shape\n",
    "F_sampled = mu_F + linalg.matmul(\n",
    "    post[\"sigma\"] * Sigma_F,\n",
    "    norm_dist.rvs(),\n",
    "    dims=((\"latent_columns\", \"latent_columns2\"), (\"latent_columns\", \"rows\")),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison to original data\n",
    "\n",
    "To check how well our model has captured the original data, we will test how well we can reconstruct it from the sampled $W$ and $F$ matrices. For each element of $Y$ we plot the mean and standard deviation of $X = W F$, which is the reconstructed value based on our model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1023,
       "width": 1223
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_sampled_amortized = linalg.matmul(\n",
    "    post[\"W\"],\n",
    "    F_sampled,\n",
    "    dims=(\"observed_columns\", \"latent_columns\", \"rows\"),\n",
    ")\n",
    "reconstruction_mean = X_sampled_amortized.mean(dim=(\"chain\", \"draw\")).values\n",
    "reconstruction_sd = X_sampled_amortized.std(dim=(\"chain\", \"draw\")).values\n",
    "plt.errorbar(\n",
    "    Y.ravel(),\n",
    "    reconstruction_mean.ravel(),\n",
    "    yerr=reconstruction_sd.ravel(),\n",
    "    marker=\".\",\n",
    "    ls=\"none\",\n",
    "    alpha=0.3,\n",
    ")\n",
    "\n",
    "slope, intercept, r_value, p_value, std_err = sp.stats.linregress(\n",
    "    Y.ravel(), reconstruction_mean.ravel()\n",
    ")\n",
    "plt.plot(\n",
    "    [Y.min(), Y.max()],\n",
    "    np.array([Y.min(), Y.max()]) * slope + intercept,\n",
    "    \"k--\",\n",
    "    label=f\"Linear regression for the mean, R²={r_value**2:.2f}\",\n",
    ")\n",
    "plt.plot([Y.min(), Y.max()], [Y.min(), Y.max()], \"k:\", label=\"Perfect reconstruction\")\n",
    "\n",
    "plt.xlabel(\"Elements of Y\")\n",
    "plt.ylabel(\"Model reconstruction\")\n",
    "plt.legend(loc=\"upper left\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that our model does a decent job of capturing the variation in the original data, despite only using two latent factors instead of the actual four."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Authors\n",
    "* Authored by [chartl](https://github.com/chartl) on May 6, 2019\n",
    "* Updated by [Christopher Krapu](https://github.com/ckrapu) on April 4, 2021\n",
    "* Updated by Oriol Abril-Pla to use PyMC v4 and xarray-einstats on March, 2022\n",
    "* Updated by Erik Werner on Dec, 2023 ([pymc-examples#612](https://github.com/pymc-devs/pymc-examples/pull/612))\n",
    "* Updated by Osvaldo Martin on January, 2026"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: Mon, 12 Jan 2026\n",
      "\n",
      "Python implementation: CPython\n",
      "Python version       : 3.13.11\n",
      "IPython version      : 8.29.0\n",
      "\n",
      "arviz          : 0.23.0\n",
      "matplotlib     : 3.10.1\n",
      "numpy          : 2.2.6\n",
      "pymc           : 5.27.0\n",
      "pytensor       : 2.36.1\n",
      "scipy          : 1.16.3\n",
      "seaborn        : 0.13.2\n",
      "xarray         : 2025.1.2\n",
      "xarray_einstats: 0.8.0\n",
      "\n",
      "Watermark: 2.6.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -n -u -v -iv -w"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ":::{include} ../page_footer.md\n",
    ":::"
   ]
  }
 ],
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  "jupytext": {
   "notebook_metadata_filter": "substitutions"
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   "display_name": "eabm",
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   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.11"
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  "myst": {
   "substitutions": {
    "extra_dependencies": "seaborn"
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 "nbformat": 4,
 "nbformat_minor": 4
}