{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# From Classic Archetypal Analysis to Multimodal Deep Archetypal Analysis " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Archetypal Analysis" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Archetypal Analysis is a technique in statistics and machine learning designed to uncover the extreme points within a dataset, termed archetypes. These archetypes represent the most distinct or extreme manifestations within the data space, suggesting that every data point can be approximated as a mixture of these archetypal forms. \n", "Given a dataset represented by the matrix $X$, where each row corresponds to a d-dimensional data point, the objective of archetypal analysis is to identify a matrix $A$, which encapsulates the archetypes, and a matrix $B$, which contains coefficients that express each data point in $X$ as convex combinations of the archetypes in $A$.\n", "\n", "The core optimization challenge in archetypal analysis is to minimize the reconstruction error between the dataset $X$ and its approximation $ABX$, formally expressed as:\n", "\n", "```{math}\n", "\\min_{A, B} \\|X - ABX\\|^2_F\n", "```\n", "\n", "subject to constraints for both $A$ and $B$ that ensure the convexity of the combinations, with $B_{ij} \\geq 0$ for all elements to guarantee non-negativity, and $\\sum_{j} B_{ij} = 1$ for all $i$, ensuring that the coefficients for each data point sum to one. \n", "Similarly, constraints are applied to $A$ to ensure its columns can be interpreted as mixtures of data points, hence $A_{ij} \\geq 0$ and $\\sum_{j} A_{ij} = 1$ for all $i$. \n", "These constraints ensure that each data point in $X$ is represented as a convex combination of archetypes, making the solution interpretable and reflective of the underlying structure of the dataset.\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The original algorithm proposed by [Cutler and Breiman](https://www.tandfonline.com/doi/abs/10.1080/00401706.1994.10485840) is based on the idea of solving alternating interative least square problems. Namely, the algorithm operates iteratively, alternating between two main steps: updating coefficients B for a fixed set of archetypes $A$, and then updating $A$ given $B$. Initially, $A$ is populated with randomly selected data points. In each iteration, $B$ is updated to represent each data point as a convex combination of the current archetypes, and then $A$ is updated to better fit the data points based on the new coefficients. The process iterates until the change in $A$ between iterations, measured using the Frobenius norm $\\|A_{new} - A_{old}\\|_F$, falls below a predefined convergence threshold, or a maximum number of iterations is reached." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let us first define some convenience function:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Some code was taken/adapted from the amazing implementation in\n", "# https://github.com/aleixalcacer/archetypes\n", "\n", "import numpy as np\n", "from scipy.optimize import nnls\n", "\n", "\n", "def frobenius_norm_difference(M1, M2):\n", " \"\"\"Compute the Frobenius norm of the difference between two matrices.\"\"\"\n", " return np.linalg.norm(M1 - M2, 'fro')\n", "\n", "def initialize_archetypes(X, k):\n", " \"\"\"Randomly initialize archetypes.\"\"\"\n", " \n", " # For A and B we just sample from a dirichlet distribution\n", " B = np.random.dirichlet(np.ones(X.shape[0]), k)\n", " A = np.random.dirichlet(np.ones(k), X.shape[0])\n", " \n", " return A, B\n", "\n", "def optimize_nnls(M1,M2):\n", " \n", " # Add some constants to enforce the convexity of the final matrix\n", " M1 = np.pad(M1, ((0, 0), (0, 1)), \"constant\", constant_values=20)\n", " M2 = np.pad(M2, ((0, 0), (0, 1)), \"constant\", constant_values=20)\n", " res = np.empty((M1.shape[0], M2.shape[0]))\n", " \n", " # Solve the actual non-negative least square problem\n", " for j in range(res.T.shape[1]):\n", " res.T[:, j], _ = nnls(M2.T, M1.T[:, j])\n", " \n", " # Check convexity + remove nans\n", " res /= res.sum(1)[:, None]\n", " res[np.isnan(res)] = 1 / res.shape[1]\n", " return res\n", "\n", "def update_archetypes(X, H):\n", " \"\"\"Update archetypes Z for fixed coefficients.\"\"\"\n", " return optimize_nnls(H,X)\n", "\n", "def update_weights(X, H):\n", " \"\"\"Update coefficients A for fixed archetypes\"\"\"\n", " return optimize_nnls(X,H)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We then run the training loop and have a look at the results. For this example we choose a toy dataset of body measuremnts for 3 different species of penguins." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# code a function that performs archetypal analysis\n", "def archetypal_analysis(X, k, max_iter=30, tol=1e-3):\n", " \"\"\"Perform archetypal analysis.\"\"\"\n", " A, B = initialize_archetypes(X, k)\n", " H = B @ X\n", " loss_old = None\n", " for _ in range(max_iter):\n", " A = update_weights(X, H)\n", " H = np.linalg.pinv(A) @ X\n", " B = update_archetypes(X, H)\n", " H = B @ X\n", " loss = frobenius_norm_difference(X, A @ H)\n", " if loss_old is not None and loss_old - loss < tol:\n", " break\n", " return A, B" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesislandbill_length_mmbill_depth_mmflipper_length_mmbody_mass_gsex
0AdelieTorgersen39.118.7181.03750.0Male
1AdelieTorgersen39.517.4186.03800.0Female
2AdelieTorgersen40.318.0195.03250.0Female
3AdelieTorgersenNaNNaNNaNNaNNaN
4AdelieTorgersen36.719.3193.03450.0Female
\n", "
" ], "text/plain": [ " species island bill_length_mm bill_depth_mm flipper_length_mm \\\n", "0 Adelie Torgersen 39.1 18.7 181.0 \n", "1 Adelie Torgersen 39.5 17.4 186.0 \n", "2 Adelie Torgersen 40.3 18.0 195.0 \n", "3 Adelie Torgersen NaN NaN NaN \n", "4 Adelie Torgersen 36.7 19.3 193.0 \n", "\n", " body_mass_g sex \n", "0 3750.0 Male \n", "1 3800.0 Female \n", "2 3250.0 Female \n", "3 NaN NaN \n", "4 3450.0 Female " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import seaborn as sns\n", "\n", "penguins = sns.load_dataset('penguins')\n", "penguins.head()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We will work with just 2 dimensions as it's easier to understand what is happening, but of course AA can be extended to inputs of arbitraty dimensions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "penguins = penguins[~penguins['body_mass_g'].isna()]\n", "\n", "sns.scatterplot(data=penguins, x=\"bill_length_mm\", y=\"body_mass_g\", hue=\"species\")\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# We standardize as it improves stability of the algorithm\n", "\n", "X_df = penguins[[\"bill_length_mm\", \"body_mass_g\"]]\n", "X_df = (X_df-X_df.mean())/X_df.std()\n", "X = X_df.values\n", "\n", "A,B = archetypal_analysis(X,3, max_iter = 10)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see the algorithm correctly fits a trangle across the 2D space of the data. The archetypes are the red points and the data points are colored by species. To give a bit of interpretation we have small penguins with a short bill, which are mainly represented by Adelie specie. Another archetype has low body mass and a long bill, while the last one his a big penguin with a somewhat long bill. The main point of archetypal analysis is that it gives us the possibility to reason continously by comparison to some extreme prototypes. It gives us a different look on our data compared to clustering and works very well when we have some continous process (be it differentiation or fitness optimization) underlying our data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate the archetypes\n", "H = B @ X\n", "\n", "X_df[\"species\"] = penguins[\"species\"]\n", "\n", "# plot the archetypes together to this scatterplot in the same plots, and connect them by a triangle\n", "sns.scatterplot(x=H[:,0], y=H[:,1], color='red', s=100)\n", "sns.scatterplot(data=X_df, x=\"bill_length_mm\", y=\"body_mass_g\", hue=\"species\")\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Why deep archetypal analysis? " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "There are two main reasons why we would like to move from the standard analysis we saw before:\n", "* Better scaling properties \n", "* Working in non-linear latent space\n", "\n", "Let's briefly talk about them before looking at an implementation. Regarding the scaling behaviour of the classical algorithm we presented before, it is quite clear how it becomes quite slow for big input matrices as solving the non-negative least squares becomes expensive. Improvements on that have been proposed, like the use of the Frank-Wolf algorithm. Despite this, the idea of being able to express matrices A and B as a function of the input and the ability to optimize using classical SGD is certainly appealing for large datasets. Another important point is the space where to perform the AA. In our toy dataset we had only two features but of course in reality it commonly happens to work in very large spaces. What you tend to do is first perform dimensionality reduction for example with a PCA and then run the AA on the loadings of the PCA. Of course, real dataset can be very complicated and the idea of being able to use neural networks to both reduce the dimensionality in a non-linear way becomes a key component to get good results in real case scenarios. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "vscode": { "languageId": "r" } }, "source": [ "These two ideas converge in attempts to extend AA into the Deep Learning framework as in [Keller et al. 2019](https://doi.org/10.48550/arXiv.1901.10799). Initially we started from their idea and expanded it to multi-modal data, we then change the formulation of the model to improve on some aspects, but that's the topic of the next section, so no spoilers for now. Going back to Deep Archetypal Analysis the actual formulation is quite straightforward, as we said we want a neural network to learn the 2 matrices A and B as an arbitrary function of the data $f^\\theta(X)$. The approach used is to fix a standard simplex in the latent space (let us call its vertices $Z^{\\text{fixed}}$ and learn a mapping function from $X$ to this simplex with our network $f^\\theta(X)$. If you think for a bit this is exactly equivalent to learn the matrix $A$ given as a set of archetypes $Z^{\\text{fixed}}$ and our final reconstruction is nothing else but $Z^{*} = AZ^{\\text{fixed}}$. We then reconstruct back the input using a decoder neural network that takes as input $Z^{*}$.\n", "\n", "So what about $B$? How can we make sure that $Z$ is also a convex combination of our data points in latent space? A possible solution is to add a term in the loss. Namely, if you recall that the archetypes structure given the matrices above can be written as is $BAZ^{\\text{fix}}$ we just have to force it to be equal to our latent simplex. We then add this term to the final loss.\n", "\n", "```{math}\n", "\\ell=\\left\\|Z^{\\text {fixed }}-B A Z^{\\text {fixed }}\\right\\|_2^2=\\left\\|Z^{\\text {fixed }}-Z^{\\text {pred }}\\right\\|_2^2\n", "```\n", "\n", "The final loss is the usual ELBO of a Variational Autoencoder (please refer to the original paper and to [Kingma et al. 2013](https://doi.org/10.48550/arXiv.1312.6114) for more information) minus this new loss.\\\n", "\n", "But now it is time to have a look at this model in practice, we have implemented it in MIDAA and on a single modality it should work almost identically to the model proposed in [Keller et al. 2019](https://doi.org/10.48550/arXiv.1901.10799)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import sys\n", "sys.path.append(\"/home/salvatore.milite/work/python_packages/daario/src/\")\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ELBO: 3027.17725 : 100%|██████████| 300/300 [00:13<00:00, 22.55it/s]\n", "/home/salvatore.milite/miniconda3/envs/scdeepaa/lib/python3.11/site-packages/pyro/primitives.py:137: RuntimeWarning: trying to observe a value outside of inference at loss\n", " warnings.warn(\n" ] } ], "source": [ "import midaa as maa\n", "import numpy as np\n", "\n", "# More information on what that is in other tutorials\n", "res = maa.fit_MIDAA(\n", " [X],\n", " [np.ones(X.shape[0])],\n", " [\"G\"], \n", " hidden_dims_enc_ind = [128], # Hidden dimensions of the encoder\n", " hidden_dims_enc_common = [64], # Hidden dimensions of the encoder\n", " hidden_dims_enc_pre_Z = [32], # Hidden dimensions of the encoder before the Z layer\n", " hidden_dims_dec_common = [32], # Hidden dimensions of the decoder\n", " hidden_dims_dec_last = [64, 128], # Hidden dimensions of the decoder last layer\n", " lr = 0.01, # Learning rate\n", " steps = 300,\n", " narchetypes = 3,\n", " linearize_decoder=True, # space is super simple we don't need non-linearities\n", " linearize_encoder = True,# space is super simple we don't need non-linearities\n", " batch_size = 512,\n", " fix_Z = True, # this makes us use the model definition from Keller et al. 2019\n", " Z_fix_norm = 1000,\n", " CUDA = True\n", " )" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly we see how archetypes in this case look quite far away from the point cloud, also they look very influenced by outliers." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate the archetypes\n", "H = res[\"inferred_quantities\"][\"B\"] @ X\n", "\n", "X_df[\"species\"] = penguins[\"species\"]\n", "\n", "# plot the archetypes together to this scatterplot in the same plots, and connect them by a triangle\n", "sns.scatterplot(x=H[:,0], y=H[:,1], color='red', s=100)\n", "sns.scatterplot(data=X_df, x=\"bill_length_mm\", y=\"body_mass_g\", hue=\"species\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### MIDAA" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "MIDAAs' idea is to expand this reasoning to multimodal data with an arbitrary number of features. What we do is to first is to perform a step of dimensionality reduction using a modality specific autoencoder, for each modality. We then concatenate the last layer embedding and \n", "\n", "\n", "\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The previous formulation had two problems, the first being that not the loss of reconstruction of archetypes needed to be manually weighted. This value is highly specific to the dataset and in general choosing one that is too small will result in us having inferred archetypes that are far from those actually used for reconstruction, one that is too large will cause the model to ignore the autoencoder loss. Furthermore, by fixing the plexus in latent space, we assume that the distance between the archetypes is the same (in latent space). This is not necessarily a problem if the decoder is flexible enough, but it makes the interpretation of latent space problematic when we want to interpret it. For this reason, in MIDAA we use a different formulation of latent space and one more similar to a classical VAE. Specifically, our encoder also generates a latent space $Z$ (that in this case in not a simplex). We then solve the usual archetypal analysis problem in this latent space:\n", "```{math}\n", "Z^{*} = ABZ\n", "```\n", "\n", "We then reconstruct the input and eventual side information with the usual decoder. To regularize the latent space we constrain $Z$ to live in an hypercube of dimension $[-1,1]^{K-1}$ where $K$ is the number of archetypes (more info and benchmarks in the paper*).\n", "\n", "So let's fit this model to our penguins data." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ELBO: 2578.61450 : 100%|██████████| 300/300 [00:04<00:00, 73.38it/s]\n", "/home/salvatore.milite/miniconda3/envs/scdeepaa/lib/python3.11/site-packages/pyro/primitives.py:137: RuntimeWarning: trying to observe a value outside of inference at loss\n", " warnings.warn(\n" ] } ], "source": [ "import midaa as maa\n", "import numpy as np\n", "\n", "# More information on what that is in other tutorials\n", "res = maa.fit_MIDAA(\n", " [X],\n", " [np.ones(X.shape[0])],\n", " [\"G\"], \n", " hidden_dims_enc_ind = [128], # Hidden dimensions of the encoder\n", " hidden_dims_enc_common = [64], # Hidden dimensions of the encoder\n", " hidden_dims_enc_pre_Z = [32], # Hidden dimensions of the encoder before the Z layer\n", " hidden_dims_dec_common = [32], # Hidden dimensions of the decoder\n", " hidden_dims_dec_last = [64, 128], # Hidden dimensions of the decoder last layer\n", " lr = 0.01, # Learning rate\n", " steps = 300,\n", " linearize_decoder=True, # space is super simple we don't need non-linearities\n", " linearize_encoder = True,# space is super simple we don't need non-linearities\n", " narchetypes = 3,\n", " batch_size = 512,\n", " CUDA = True\n", " )" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "While this is just a single instance of the model, it looks like our formulation in this case tend to care less about outliers and generate archetypes that are closer to the actual sample space." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate the archetypes\n", "H = res[\"inferred_quantities\"][\"B\"] @ X\n", "\n", "X_df[\"species\"] = penguins[\"species\"]\n", "\n", "# plot the archetypes together to this scatterplot in the same plots, and connect them by a triangle\n", "sns.scatterplot(x=H[:,0], y=H[:,1], color='red', s=100)\n", "sns.scatterplot(data=X_df, x=\"bill_length_mm\", y=\"body_mass_g\", hue=\"species\")" ] } ], "metadata": { "kernelspec": { "display_name": "scdeepaa", "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" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }