{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "lFZ2-_s4oFlI" }, "source": [ "# Fairness regularizers\n", "\n", "In this tutorial, we cover how to use OTT to build a differentiable regularizer to ensure an algorithm can take into account fairness constraints during training. This tutorial will focus on _group fairness_.\n", "\n", "Group Fairness problems arise when a ML system produces different distributions of outcomes for different sub-populations or groups. The attributes defining the groups are called the _protected attributes_, and can typically be the gender, the race, the age, etc.\n", "\n", "For instance, a face recognition system may have better precision or recall on young people than on old people, or a classifier for loan approval may favor men over women, reproducing biases. In the first case, it would be preferable that the distribution of errors made by the classifier be similar across groups, focusing on the _equalized odds_ metric, while in the second case it would be preferable that the distributions of predictions match, focusing instead on the _demographic parity_ metric.\n", "\n", "Some fairness methods focus on manipulating the dataset, some others try to come up with different criteria or thresholds for the different groups. In our case we leverage the ability of optimal transport to deal with distributions and directly use the Wasserstein distance between the per-group distributions as a loss.\n" ] }, { "cell_type": "markdown", "metadata": { "id": "-IZp27err3sv" }, "source": [ "## Adult dataset\n", "\n", "We apply our differentiable fairness regularizer on a common benchmark dataset, the [adult dataset](https://archive.ics.uci.edu/ml/datasets/adult): a binary classification problem that aims at predicting whether a given individual earns more or less than $50k a year, based on features such as the age, the gender, the education level, the country of birth, the workclass, etc. The considered protected attribute is the gender. There are therefore two groups.\n", "\n", "Training a multi-layer perceptron (MLP) out of the box by minimizing the binary cross-entropy on the training data leads systematically predict more often that men, rather than women, earn more than $50k. The following figure is key to understand the fairness issue: it represents the quantiles of the predictions for men and for women for a trained classifier which accuracy is about 80%. While being overall quite good in terms of classification, it is doing poorly in terms of fairness since accuracy might be obtained at giving more importance to those several datapoints that were men. The goal of group fairness is to close the gap between those two curves.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 386 }, "executionInfo": { "elapsed": 213, "status": "ok", "timestamp": 1622562044250, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "1w8ADa-GOaz6", "outputId": "f7c85cd4-7f72-4e00-efa4-6c69daa17060" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Prediction')" ] }, "execution_count": 73, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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4dDSTgQHAEi/lS4H+9ez7ObYF4R4R6S8iWSIyGrgSeEL7DCillGqw0jxYMM2z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\n0JhzWIeIJAFPYFsGnml8aE1KY8/jfcDvwPMhjKmpacw57OQ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"text/plain": [ "\u003cFigure size 800x500 with 1 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(8, 5))\n", "plot_quantiles(logits, groups, ax)\n", "ax.tick_params(axis='both', which='major', labelsize=16)\n", "ax.set_title(f'Baseline Quantiles', fontsize=22)\n", "ax.set_xlabel('Quantile Level', fontsize=18)\n", "ax.set_ylabel('Prediction', fontsize=18)" ] }, { "cell_type": "markdown", "metadata": { "id": "aEbTlXhwqQ17" }, "source": [ "To obtain these curves, we _sort_ the predictions made by the classifier from the smallest to the biggest for each group and put them on a $[0, 1]$ scale on the x-axis. The value corresponding to $x=0.5$ is the median of the distribution. Similarly for each quantile level in $[0,1]$ we obtain the corresponding quantile of the distribution.\n", "\n", "In this example we observe that the median prediction for women is about 5% while the median prediction for men is about 25%. If we were to set to 0.25 the threshold to consider a prediction positive, we would keep half of the men, but would reject about 90% of the women." ] }, { "cell_type": "markdown", "metadata": { "id": "qiGe47ZJq0wk" }, "source": [ "## Quantiles and Wasserstein distance.\n", "\n", "The gap between the two quantile functions is corresponds to\n", " the _Wasserstein distance_ between the two distributions. Closing the gap between the two curves is equivalent to minimizing the Wasserstein distance between the two distributions.\n", "\n", "Note that in practice, we approximate the gap by the average of the distances between corresponding quantile levels. For this we need to interpolate the values over the union of the supports of the two discrete quantile maps.\n", "\n", "Let's do this on an example. We sample some points uniformly at random, and assign randomly groups to them and plot the quantiles functions." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 365 }, "executionInfo": { "elapsed": 259, "status": "ok", "timestamp": 1622582558702, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "JU8DZvFYrJwL", "outputId": "ff9fbed6-2ae0-453d-9770-35c64cd2f6a2" }, "outputs": [ { "data": { "text/plain": [ "\u003cmatplotlib.legend.Legend at 0x7f0b44b9f438\u003e" ] }, "execution_count": 84, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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hXOTqq6/m5MmTfP7554wcOdLZ4QghXFhS+nmmf/RL4ft/dG/GdZ3r1vTOkrQxWtjjRo9k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\nEEK4CEnaQtRhSqkBSimtlLq9WFkrS9mMaj6XQ45bVbU1LiG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"text/plain": [ "\u003cFigure size 800x500 with 1 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "N = 24\n", "\n", "rng = jax.random.PRNGKey(1)\n", "rng, *rngs = jax.random.split(rng, 3)\n", "y_pred = 3 * jax.random.uniform(rngs[0], (N,))\n", "groups = jax.random.uniform(rngs[1], (N,)) \u003c 0.25\n", "\n", "support_0 = jnp.linspace(0, 1, N - jnp.sum(groups))\n", "support_1 = jnp.linspace(0, 1, jnp.sum(groups))\n", "quantiles_0 = jnp.sort(y_pred[jnp.logical_not(groups)])\n", "quantiles_1 = jnp.sort(y_pred[groups])\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 5))\n", "ax.plot(support_0, quantiles_0, \n", " lw=3, marker='o', markersize=10, label='group 0', markeredgecolor='k')\n", "ax.plot(support_1, quantiles_1, \n", " lw=3, marker='o', markersize=10, label='group 1', markeredgecolor='k')\n", "ax.set_xlabel('Quantile level', fontsize=18)\n", "ax.tick_params(axis='both', which='major', labelsize=16)\n", "ax.legend(fontsize=16)" ] }, { "cell_type": "markdown", "metadata": { "id": "i5w0Dwt7sU93" }, "source": [ "We can see on this figure that the support of the two quantile function is different, since the number of points in the two groups is different. In order to compute the gap between the two curves, we first interpolate the two curves on the union of the supports. The Wasserstein distance corresponds to the gap between the two quantile functions. Here we show two interpolations schemes that make it easy to estimate the Wasserstein distance between two 1D measures." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 368 }, "executionInfo": { "elapsed": 369, "status": "ok", "timestamp": 1622585827084, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "qySMhgldsuS2", "outputId": "d14f3c06-a8fc-4d43-e160-e1c18520f659" }, "outputs": [ { "data": { "image/png": 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yWBVV6sSJE0ycOJHu3bvj5uaGUkrWhhOihtm0/yzr4v8p3H71rlBcHO2tWJEQ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\nQ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"text/plain": [ "\u003cFigure size 1600x500 with 2 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import scipy\n", "\n", "kinds = ['linear', 'nearest']\n", "fig, axes = plt.subplots(1, len(kinds), figsize=(8 * len(kinds), 5))\n", "\n", "for ax, kind in zip(axes, kinds):\n", " q0 = scipy.interpolate.interp1d(support_0, quantiles_0, kind=kind)\n", " q1 = scipy.interpolate.interp1d(support_1, quantiles_1, kind=kind)\n", " support_01 = jnp.sort(jnp.concatenate([support_0, support_1]))\n", "\n", " ax.plot(support_01, q0(support_01), label='group 0',\n", " lw=3, marker='o', markersize=10, markeredgecolor='k')\n", " ax.plot(support_01, q1(support_01), label='group 1',\n", " lw=3, marker='o', markersize=10, markeredgecolor='k')\n", " ax.fill_between(support_01, q0(support_01), q1(support_01),\n", " color='y', hatch='|', fc='w')\n", " ax.set_xlabel('Quantile level', fontsize=18)\n", " ax.tick_params(axis='both', which='major', labelsize=16)\n", " ax.legend(fontsize=16)\n", " ax.set_title(f'Interpolation {kind}', fontsize=20)" ] }, { "cell_type": "markdown", "metadata": { "id": "Xl_aITlw1nlH" }, "source": [ "## Soft Wasserstein\n", "\n", "Computing the Wasserstein distance involves complex operations such as sorting and interpolating. Fortunately, regularized optimal transport and its implementation with OTT provides accelerator-friendly differentiable approaches to sort according to a group (setting the weights of the outsiders to zero) while mapping onto a common support (sorting onto a fixed target of the same size, no matter what the group is).\n", "\n", "Here is an example of how to use OTT to obtain a sorted vector of a fixed size for each group. Note how simple this function is." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "LHi1aQZcXCDF" }, "outputs": [], "source": [ "import functools\n", "\n", "@functools.partial(jax.jit, static_argnums=(2,))\n", "def sort_group(inputs: jnp.ndarray, group: jnp.ndarray, target_size: int = 16):\n", " a = group / jnp.sum(group)\n", " b = jnp.ones(target_size) / target_size\n", " ot = ott.tools.soft_sort.transport_for_sort(inputs, a, b, dict(epsilon=1e-3))\n", " return 1.0 / b * ot.apply(inputs, axis=0)" ] }, { "cell_type": "markdown", "metadata": { "id": "3f6fAcKm8TQX" }, "source": [ "It is noteworthy to see that the obtained interpolation corresponds to a smooth version of the 'nearest' interpolation." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 330 }, "executionInfo": { "elapsed": 2315, "status": "ok", "timestamp": 1622582567633, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "MzzicRdodDYC", "outputId": "25b828bd-07b0-40b8-873e-f8dcaf0a4150" }, "outputs": [ { "data": { "image/png": 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X5Fgh3Ifk1+pJcqz78vf3JytL5qUTwlVYqz9765ChtO8YzSfbThE4bAbBnW4l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\nxphTXDjWq/rW1zWz8bW5/Z6e5aTOGS4c61V9C2CM+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"text/plain": [ "\u003cFigure size 2400x500 with 3 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "target_sizes = [4, 16, 64]\n", "_, axes = plt.subplots(1, len(target_sizes), figsize=(len(target_sizes * 8), 5))\n", "for ax, target_size in zip(axes, target_sizes):\n", " ax.plot(sort_group(y_pred, jnp.logical_not(groups), target_size),\n", " lw=3, marker='o', markersize=10, markeredgecolor='k', label='group 0')\n", " ax.plot(sort_group(y_pred, groups, target_size),\n", " lw=3, marker='o', markersize=10, markeredgecolor='k', label='group 0')\n", " ax.legend(fontsize=16)\n", " ax.tick_params(axis='both', which='major', labelsize=16)\n", " ax.set_title(f'Group soft sorting on support of size {target_size}', fontsize=20)" ] }, { "cell_type": "markdown", "metadata": { "id": "uL7HxWtDGk4y" }, "source": [ "## Training a network\n", "\n", "In order to train our classifier with a fairness regularizer, we first turn the categorical features $x$ of the adult dataset into dense ones (using 16 dimensions) and pass the obtained vector to an MLP $f_\\theta$ with 2 hidden layers of 64 neurons.\n", "\n", "We optimize a loss which is the sum of the binary crossentropy and the Wasserstein distance between the distributions of predictions for the two classes. Since we want to work with minibatches and we do not want to change the common optimization scheme, we decide to use rather big batches of size $512$, in order to ensure that we have enough predictions across groups in a batch for the Wasserstein distance between them to make sense.\n", "\n", "We scale the Wasserstein distance by a factor $\\lambda$ to control the balance between the fitness term (binary crossentropy) and the fairness regularization term (Wasserstein distance).\n", "\n", "We run the training procedure for 100 epochs with the Adam optimizer with learning rate $10^{-4}$, an entropic regularization factor $\\epsilon=10^{-3}$ and a common interpolation support of size $12$.\n", "\n", "We compare the results for $\\lambda \\in \\{1, 10, 100, 1000\\}$ in terms of demographic parity as well as accuracy." ] }, { "cell_type": "markdown", "metadata": { "id": "XxpKsf8Yk5Mj" }, "source": [ "## Loss and Accuracy\n", "\n", "Let's first compare the performance of all those classifiers. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 728 }, "executionInfo": { "elapsed": 1015, "status": "ok", "timestamp": 1622583434799, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "h_s3_QAhNVb1", "outputId": "74ed50ce-1d53-462c-d7dc-f2f197fe4141" }, "outputs": [ { "data": { "image/png": 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UOlOsozgnMrTsN3zbDQLigVcCHPtJ7cepeGvtTA3QZwSwx1pb1mEjbEL3vkOo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\nkUEzeFogNt0/eRNb6Zu46d4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w6/MjinVERNqps8Q6inMiQ1h20QryuvaQcSb5/4NxFDW/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GExGTTHxUOrFRyUh/ANXvQ/N6mJP6JUumF9DXau302q/+s5GeZ/Xn/P7nI5FYDVaGJA1hdOpo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"text/plain": [ "\u003cFigure size 1600x1000 with 4 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(16, 10))\n", "\n", "for weight, curves in result.items():\n", " for ax_row, metric in zip(axes, ['loss', 'accuracy']):\n", " for ax, phase in zip(ax_row, ['train', 'eval']):\n", " arr = np.array(curves[f'{phase}_{metric}'])\n", " ax.plot(arr[:, 0], arr[:, 1], label=f'$\\lambda={weight:.0f}$',\n", " lw=5, marker='o', markersize=12, markeredgecolor='k', markevery=10)\n", " ax.set_title(f'{metric} / {phase}', fontsize=20)\n", " ax.legend(fontsize=18)\n", " ax.set_xlabel('Epoch', fontsize=18)\n", " ax.tick_params(axis='both', which='major', labelsize=16)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "TH4whzdjf4sX" }, "source": [ "We can see that when we increase the fairness regularization factor $\\lambda$, the training accuracy slightly decreases but it does not impact too much the eval accuracy. The fairness regularizer is a rather good regularizer. For $\\lambda = 1000$ the training metrics are a bit more degraded as well as the eval ones, but we also note that after 100 epochs this classifier has not converged yet, so we could also imagine that it would catch up in terms of eval metrics." ] }, { "cell_type": "markdown", "metadata": { "id": "Q2PvnOuPfs_J" }, "source": [ "## Demographic Parity\n", "\n", "Now that we have seen the effect of the fairness regularizer on the classification performance, we focus on the applicability of this regularizer on the distributions of predictions for the two groups.\n", "\n", "For this, we compute all the predictions, sort them and plot the quantile functions. The smaller the area between them, the more fair the classifier is." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "height": 728 }, "executionInfo": { "elapsed": 4286, "status": "ok", "timestamp": 1622585314970, "user": { "displayName": "Olivier Teboul", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gh386BqZihYQl0BMn-nlhiF6S29kFfZALR0XWy7=s64", "userId": "01536817380837432840" }, "user_tz": -120 }, "id": "BOu42drkcz95", "outputId": "e8e9638e-5289-4107-89e4-d2f1d94f490e" }, "outputs": [ { "data": { "image/png": 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1Da4CHWBk79yQHD+GKZeLiEhkfeRxgT2tC5z5GuT169Ch126tcrV1S7AifTTw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"text/plain": [ "\u003cFigure size 1400x1000 with 4 Axes\u003e" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "num_rows = 2\n", "num_cols = len(weights[1:]) // 2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(7 * num_cols, 5 * num_rows))\n", "for ax, w in zip(axes.ravel(), weights[1:]):\n", " logits, groups = get_predictions(ds_test, config, states[w])\n", " plot_quantiles(logits, groups, ax)\n", " ax.set_title(f'$\\lambda = {w:.0f}$', fontsize=22)\n", " ax.set_ylabel('Prediction', fontsize=18)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "jDRTzxBNjS5f" }, "source": [ "We clearly see that as we increase the fairness factor, the network finds ways to enforce the demographic parity (it is totally fair for $\\lambda = 1000$) with no or little decrease of classification performance (a drop of about 1% in accuracy).\n", "\n", "Unlike many fairness methods, the OT-based fairness regularizer does not modify the training procedure and makes it possible to train end-to-end an ML system by enforcing a meaningful criterion: the Wasserstein distance between distributions of predictions." ] } ], "metadata": { "colab": { "collapsed_sections": [], "last_runtime": { "build_target": "//learning/deepmind/public/tools/ml_python:ml_notebook", "kind": "private" }, "name": "OTT fairness: tutorial", "provenance": [ { "file_id": "1PYCJcF0LS09dQVdwI73b2ZJbQesYv3zu", "timestamp": 1622585910089 } ], "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }