{ "cells": [ { "cell_type": "markdown", "id": "11288b33", "metadata": {}, "source": [ "# El problema de Monge y Kantorovich\n", "\n", "Este cuaderno acompaña los **Capítulos 1 y 2** de las notas del curso (*Introducción* y *Existencia de planes óptimos*). Ilustra numéricamente los problemas de Monge y de Kantorovich: el caso discreto con masas iguales (una asignación), el caso discreto general (donde hace falta dividir la masa), el caso continuo, la influencia del costo $c(x,y)=|x-y|^p$, y algunos fenómenos que motivan la relajación de Kantorovich: la no existencia de mapas de Monge, la estructura de vértice de los planes óptimos (teorema de Birkhoff) y la falta de clausura débil del conjunto de mapas.\n", "\n", "Usamos la biblioteca [POT (Python Optimal Transport)](https://pythonot.github.io/) para resolver el problema de Kantorovich discreto como un programa lineal (`ot.emd`), y `scipy` para el problema de asignación. Los **ejercicios computacionales** están al final; sus enunciados figuran también en la sección de ejercicios de los capítulos correspondientes de las notas." ] }, { "cell_type": "markdown", "metadata": { "id": "zi0BHk2K7V-M" }, "source": [ "## 1. El problema de Monge en el caso discreto\n", "\n", "En este ejemplo consideraremos dos conjuntos de $n$ puntos del plano, que representan el origen y el destino de una masa uniformemente distribuida. Cada punto origen debe transportarse a un único punto destino, de modo que cada destino reciba exactamente una unidad de masa. Como función de costo usaremos el *costo cuadrático*\n", "$$\n", "c(x,y)=|x-y|^2\n", "$$\n", "\n", "Como vimos en la sección anterior, este problema equivale a buscar una permutación σ que minimice el costo total de transporte.\n", "\n", "Primero generaremos aleatoriamente los puntos origen y destino. Luego mostraremos varias asignaciones elegidas al azar y calcularemos el costo asociado a cada una de ellas. Finalmente, resolveremos el problema de optimización utilizando el algoritmo húngaro y compararemos el costo óptimo con los obtenidos mediante asignaciones aleatorias.\n", "\n", "La diferencia entre ambas soluciones pone de manifiesto la importancia de resolver el problema de optimización y motiva el estudio de las herramientas teóricas que desarrollaremos en los próximos capítulos." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 916 }, "executionInfo": { "elapsed": 1042, "status": "ok", "timestamp": 1785514609251, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "dAAo24Gt7_XH", "outputId": "84e208b1-0279-4c3e-baaf-a9e797a5edcf" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.spatial.distance import cdist\n", "from scipy.optimize import linear_sum_assignment\n", "\n", "# ==========================================================\n", "# Datos\n", "# ==========================================================\n", "\n", "np.random.seed(1)\n", "\n", "n = 20\n", "\n", "X = np.random.rand(n,2)\n", "Y = np.random.rand(n,2)\n", "\n", "C = cdist(X, Y, metric=\"sqeuclidean\")\n", "\n", "# ==========================================================\n", "# Funciones auxiliares\n", "# ==========================================================\n", "\n", "def matching_cost(C, sigma):\n", " return C[np.arange(len(sigma)), sigma].sum()/len(sigma)\n", "\n", "\n", "def draw_points(ax):\n", " ax.scatter(X[:,0], X[:,1],\n", " s=40,\n", " color=\"tab:blue\",\n", " label=r\"$x_i$\")\n", "\n", " ax.scatter(Y[:,0], Y[:,1],\n", " s=40,\n", " color=\"tab:red\",\n", " label=r\"$y_j$\")\n", "\n", " ax.set_aspect(\"equal\")\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", "\n", "def draw_matching(ax, sigma):\n", "\n", " draw_points(ax)\n", "\n", " for i,j in enumerate(sigma):\n", " ax.annotate(\n", " \"\",\n", " xy=Y[j],\n", " xytext=X[i],\n", " arrowprops=dict(\n", " arrowstyle=\"->\",\n", " color=\"black\",\n", " lw=1,\n", " shrinkA=5,\n", " shrinkB=5,\n", " ),\n", " )\n", "\n", "\n", "\n", "# ==========================================================\n", "# 1. Solución óptima\n", "# ==========================================================\n", "\n", "rows, cols = linear_sum_assignment(C)\n", "\n", "sigma_opt = cols\n", "cost_opt = matching_cost(C, sigma_opt)\n", "\n", "fig, axs = plt.subplots(1,2, figsize=(6,3))\n", "\n", "draw_points(axs[0])\n", "axs[0].set_title(\"Puntos\")\n", "axs[0].legend()\n", "\n", "draw_matching(axs[1], sigma_opt)\n", "axs[1].set_title(f\"Asignación óptima\\nCosto = {cost_opt:.3f}\")\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ==========================================================\n", "# 2. Cuatro asignaciones aleatorias\n", "# ==========================================================\n", "\n", "fig, axs = plt.subplots(2,2, figsize=(6,6))\n", "\n", "for k, ax in enumerate(axs.flat):\n", "\n", " sigma = np.random.permutation(n)\n", " cost = matching_cost(C, sigma)\n", "\n", " draw_matching(ax, sigma)\n", "\n", " ax.set_title(f\"Asignación {k+1}\\nCosto = {cost:.3f}\")\n", "\n", "plt.suptitle(\"Cuatro asignaciones aleatorias\")\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "Rm_O6ChA_WIA" }, "source": [ "## 2. Transporte entre dos densidades: un mapa explícito\n", "\n", "Consideremos el problema de transporte óptimo con costo cuadrático\n", "\n", "$$\n", "c(x,y)=|x-y|^2,\n", "$$\n", "\n", "entre la densidad uniforme sobre el intervalo $[0,1]$,\n", "\n", "$$\n", "\\rho_0(x)=1_{[0,1]}(x),\n", "$$\n", "\n", "y la densidad\n", "\n", "$$\n", "\\rho_1(x)=2\\,1_{[0,\\frac12]}(x).\n", "$$\n", "\n", "Este ejemplo ilustra cómo un mapa de transporte puede transformar una distribución de masa en otra. En particular, observaremos que el intervalo $[0,1]$ se comprime sobre el intervalo $[0,\\tfrac12]$, duplicando la densidad para conservar la masa.\n", "\n", "En este punto del curso **todavía no disponemos de herramientas para calcular el mapa óptimo de transporte**. Por este motivo, utilizaremos directamente el mapa\n", "\n", "$$\n", "T(x)=\\frac{x}{2},\n", "$$\n", "\n", "cuya optimalidad para el costo cuadrático será demostrada más adelante al estudiar el problema unidimensional. El objetivo de este ejemplo es únicamente visualizar el efecto que produce un mapa de transporte sobre una distribución continua de masa." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 1168, "status": "ok", "timestamp": 1785514750323, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "cd_EnTil-OT3", "outputId": "5f7d8f1d-4872-4bde-d897-d569236bccea" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# ==========================================================\n", "# Densidades\n", "# ==========================================================\n", "\n", "def rho0(x):\n", " return np.where((0 <= x) & (x <= 1), 1.0, 0.0)\n", "\n", "def rho1(x):\n", " return np.where((0 <= x) & (x <= 0.5), 2.0, 0.0)\n", "\n", "# Mapa de transporte\n", "def T(x):\n", " return x/2\n", "\n", "# Malla\n", "x = np.linspace(-0.1,1.1,600)\n", "\n", "# ==========================================================\n", "# Figura 1: las densidades\n", "# ==========================================================\n", "\n", "fig, ax = plt.subplots(figsize=(7,3.5))\n", "\n", "ax.plot(x,rho0(x),lw=2,label=r\"$\\rho_0$\")\n", "ax.plot(x,rho1(x),lw=2,label=r\"$\\rho_1$\")\n", "\n", "ax.set_xlim(-0.05,1.05)\n", "ax.set_ylim(-0.1,2.3)\n", "ax.set_xlabel(\"$x$\")\n", "ax.set_title(\"Densidades inicial y final\")\n", "ax.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ==========================================================\n", "# Figura 2: el mapa óptimo\n", "# ==========================================================\n", "\n", "fig, ax = plt.subplots(figsize=(5,5))\n", "\n", "xx=np.linspace(0,1,300)\n", "\n", "ax.plot(xx,T(xx),lw=2,label=r\"$T(x)=x/2$\")\n", "ax.plot(xx,xx,\"k--\",alpha=.4,label=r\"$y=x$\")\n", "\n", "ax.set_xlim(0,1)\n", "ax.set_ylim(0,1)\n", "\n", "ax.set_xlabel(\"$x$\")\n", "ax.set_ylabel(\"$T(x)$\")\n", "ax.set_title(\"Mapa de transporte\")\n", "ax.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ==========================================================\n", "# Figura 3: representación del transporte\n", "# ==========================================================\n", "\n", "fig, ax = plt.subplots(figsize=(8,2.5))\n", "\n", "# intervalos\n", "ax.plot([0,1],[1,1],lw=3)\n", "ax.plot([0,.5],[0,0],lw=3)\n", "\n", "# algunos puntos\n", "pts=np.linspace(0,1,11)\n", "\n", "for p in pts:\n", "\n", " ax.plot(p,1,'bo')\n", " ax.plot(T(p),0,'ro')\n", "\n", " ax.annotate(\n", " \"\",\n", " xy=(T(p),0.05),\n", " xytext=(p,0.95),\n", " arrowprops=dict(\n", " arrowstyle=\"->\",\n", " lw=1.2,\n", " color=\"black\"\n", " )\n", " )\n", "\n", "ax.text(-0.08,1,r\"$\\rho_0$\",fontsize=14,va=\"center\")\n", "ax.text(-0.08,0,r\"$\\rho_1$\",fontsize=14,va=\"center\")\n", "\n", "ax.set_xlim(-0.05,1.05)\n", "ax.set_ylim(-0.3,1.3)\n", "\n", "ax.set_xticks([])\n", "ax.set_yticks([])\n", "\n", "ax.set_title(\"El mapa comprime el intervalo $[0,1]$ sobre $[0,1/2]$\")\n", "\n", "for spine in ax.spines.values():\n", " spine.set_visible(False)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "S1pioHgufzt6" }, "source": [ "## 3. El problema de Kantorovich en el caso discreto\n", "\n", "En el ejemplo anterior estudiamos el problema de Monge cuando todas las masas eran iguales. En ese caso, el transporte óptimo estaba dado por una asignación entre los puntos origen y destino.\n", "\n", "Consideremos ahora una situación más general, en la que cada punto lleva asociada una masa diferente. Más precisamente,\n", "\n", "$$\n", "\\mu=\\sum_{i=1}^n a_i\\,\\delta_{x_i},\n", "\\qquad\n", "\\nu=\\sum_{j=1}^n b_j\\,\\delta_{y_j},\n", "$$\n", "\n", "donde los coeficientes satisfacen\n", "\n", "$$\n", "a_i,b_j>0,\n", "\\qquad\n", "\\sum_{i=1}^n a_i=\\sum_{j=1}^n b_j=1.\n", "$$\n", "\n", "Tomaremos nuevamente como costo\n", "\n", "$$\n", "c(x,y)=|x-y|^2.\n", "$$\n", "\n", "En este caso ya no tiene sentido buscar una asignación entre puntos, pues una misma masa puede dividirse y enviarse a distintos destinos. Resolveremos entonces el problema de Kantorovich mediante la función `emd` de la librería **POT (Python Optimal Transport)**, que devuelve el plan de transporte óptimo.\n", "\n", "En las figuras siguientes, el tamaño de cada punto es proporcional a la masa que representa y el grosor de cada flecha es proporcional a la cantidad de masa transportada entre el correspondiente par de puntos. De esta manera puede apreciarse claramente el fenómeno de división de masa, una de las diferencias fundamentales entre los problemas de Monge y Kantorovich." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/" }, "collapsed": true, "executionInfo": { "elapsed": 9025, "status": "ok", "timestamp": 1785515357792, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "wYYKBWMXAdsZ", "outputId": "b381e11b-4194-4220-b105-80b6f79ab28e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting POT\n", " Downloading pot-0.9.7.post1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl.metadata (44 kB)\n", "\u001b[?25l \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/44.2 kB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r", "\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m44.2/44.2 kB\u001b[0m \u001b[31m3.1 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hRequirement already satisfied: numpy>=1.16 in /usr/local/lib/python3.12/dist-packages (from POT) (2.0.2)\n", "Requirement already satisfied: scipy>=1.6 in /usr/local/lib/python3.12/dist-packages (from POT) (1.16.3)\n", "Downloading pot-0.9.7.post1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl (32.9 MB)\n", "\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m32.9/32.9 MB\u001b[0m \u001b[31m52.9 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hInstalling collected packages: POT\n", "Successfully installed POT-0.9.7.post1\n" ] } ], "source": [ "# @title\n", "pip install POT\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 512 }, "executionInfo": { "elapsed": 577, "status": "ok", "timestamp": 1785521803678, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "C8UaZ22xYO8k", "outputId": "1a5d8d39-dfd1-4466-85e4-5eead460b814" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import ot\n", "from scipy.spatial.distance import cdist\n", "\n", "# ==========================================================\n", "# Datos\n", "# ==========================================================\n", "\n", "np.random.seed(3)\n", "\n", "n = 20\n", "\n", "# Puntos origen y destino\n", "X = np.random.rand(n,2)\n", "Y = np.random.rand(n,2)\n", "\n", "# Masas\n", "a = np.random.rand(n)\n", "a /= a.sum()\n", "\n", "b = np.random.rand(n)\n", "b /= b.sum()\n", "\n", "# Costo cuadrático\n", "C = cdist(X, Y, metric=\"sqeuclidean\")\n", "\n", "# ==========================================================\n", "# Plan óptimo de Kantorovich\n", "# ==========================================================\n", "\n", "pi = ot.emd(a, b, C)\n", "\n", "cost = np.sum(pi*C)\n", "\n", "# ==========================================================\n", "# Función para dibujar los puntos\n", "# ==========================================================\n", "\n", "scale = 2500\n", "\n", "def draw_points(ax):\n", " ax.scatter(\n", " X[:,0], X[:,1],\n", " s=scale*a,\n", " color=\"tab:blue\",\n", " label=r\"$x_i$\",\n", " zorder=3\n", " )\n", "\n", " ax.scatter(\n", " Y[:,0], Y[:,1],\n", " s=scale*b,\n", " color=\"tab:red\",\n", " label=r\"$y_j$\",\n", " zorder=3\n", " )\n", "\n", " ax.set_aspect(\"equal\")\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", "# ==========================================================\n", "# Figura\n", "# ==========================================================\n", "\n", "fig, axs = plt.subplots(1,2, figsize=(10,5))\n", "\n", "# ----------------------------------------------------------\n", "# Sólo los puntos\n", "# ----------------------------------------------------------\n", "\n", "draw_points(axs[0])\n", "\n", "axs[0].set_title(\"Distribución de masas\")\n", "axs[0].legend()\n", "\n", "# ----------------------------------------------------------\n", "# Plan óptimo\n", "# ----------------------------------------------------------\n", "\n", "draw_points(axs[1])\n", "\n", "threshold = 1e-10 # no dibujar masas muy pequeñas\n", "line_scale = 30 # controla el grosor de las flechas\n", "\n", "for i in range(n):\n", " for j in range(n):\n", "\n", " if pi[i,j] > threshold:\n", "\n", " axs[1].annotate(\n", " \"\",\n", " xy=Y[j],\n", " xytext=X[i],\n", " arrowprops=dict(\n", " arrowstyle=\"->\",\n", " color=\"black\",\n", " lw=line_scale*pi[i,j],\n", " alpha=0.7,\n", " shrinkA=8,\n", " shrinkB=8\n", " ),\n", " zorder=1\n", " )\n", "\n", "axs[1].set_title(f\"Plan óptimo de Kantorovich\\nCosto = {cost:.3f}\")\n", "\n", "fig.suptitle(\"Transporte óptimo entre medidas discretas con masas arbitrarias\",\n", " fontsize=15)\n", "\n", "fig.tight_layout(rect=[0,0,1,0.94])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "AiHEcSlbgMi8" }, "source": [ "## 4. Influencia del costo en el plan óptimo\n", "\n", "Una de las ventajas del enfoque de Kantorovich es que permite estudiar fácilmente el efecto de modificar la función de costo. Consideremos la familia de costos\n", "\n", "$$\n", "c(x,y)=|x-y|^p,\n", "\\qquad p\\ge1.\n", "$$\n", "\n", "Manteniendo fijos los puntos origen y destino, así como las masas asociadas a cada uno de ellos, resolveremos el problema de transporte para distintos valores de $p$.\n", "\n", "En cada caso representaremos el plan óptimo obtenido. Además, calcularemos la cantidad\n", "\n", "$$\n", "W_p(\\mu,\\nu)\n", "=\n", "\\left(\n", "\\min_{\\pi\\in\\Pi(\\mu,\\nu)}\n", "\\int |x-y|^p\\,d\\pi\n", "\\right)^{1/p},\n", "$$\n", "\n", "que más adelante veremos que define la **distancia de Wasserstein** de orden $p$.\n", "\n", "Puede observarse que, aunque los planes óptimos son similares, presentan diferencias sutiles. Al aumentar el valor de $p$, el costo penaliza más fuertemente los transportes de larga distancia, lo que puede modificar la forma en que la masa se distribuye entre los distintos destinos." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "executionInfo": { "elapsed": 321, "status": "ok", "timestamp": 1785523233983, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "fXF83cQuaxff", "outputId": "a0b046e2-06f4-4201-e278-caf9dbe59b9c" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "# ==========================================================\n", "# Comparación para distintos valores de p\n", "# ==========================================================\n", "\n", "dist2 = cdist(X, Y, metric=\"sqeuclidean\")\n", "\n", "p_values = np.linspace(1,5,17) # 1, 1.25, ..., 5\n", "\n", "wasserstein = []\n", "\n", "for p in p_values:\n", "\n", " C = dist2**(p/2)\n", "\n", " pi = ot.emd(a, b, C)\n", "\n", " cost = np.sum(pi*C)\n", " Wp = cost**(1/p)\n", "\n", " wasserstein.append(Wp)\n", "\n", "\n", "# ==========================================================\n", "# Gráfico\n", "# ==========================================================\n", "\n", "plt.figure(figsize=(6,4))\n", "\n", "plt.plot(p_values, wasserstein, \"o-\", lw=2)\n", "\n", "plt.xlabel(r\"$p$\")\n", "plt.ylabel(r\"$W_p(\\mu,\\nu)$\")\n", "plt.title(\"Distancia de Wasserstein\")\n", "\n", "plt.grid(alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 2286, "status": "ok", "timestamp": 1785523458817, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "yBQfOawHfC-E", "outputId": "ea5ad29d-75ca-4005-9586-dd0f2180b893" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "# ==========================================================\n", "# Comparación de planes óptimos para distintos valores de p\n", "# ==========================================================\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import ot\n", "from scipy.spatial.distance import cdist\n", "\n", "# Distancias al cuadrado (se calculan una sola vez)\n", "dist2 = cdist(X, Y, metric=\"sqeuclidean\")\n", "\n", "# Valores de p\n", "p_values = [1, 2, 3, 5]\n", "\n", "fig, axs = plt.subplots(2, 2, figsize=(10,10))\n", "\n", "line_scale = 30\n", "point_scale = 2500\n", "\n", "for ax, p in zip(axs.flat, p_values):\n", "\n", " # Costo\n", " C = dist2**(p/2)\n", "\n", " # Plan óptimo\n", " pi = ot.emd(a, b, C)\n", "\n", " # Costo y Wasserstein\n", " cost = np.sum(pi*C)\n", " Wp = cost**(1/p)\n", "\n", " # Puntos\n", " ax.scatter(\n", " X[:,0], X[:,1],\n", " s=point_scale*a,\n", " color=\"tab:blue\",\n", " label=r\"$x_i$\",\n", " zorder=3\n", " )\n", "\n", " ax.scatter(\n", " Y[:,0], Y[:,1],\n", " s=point_scale*b,\n", " color=\"tab:red\",\n", " label=r\"$y_j$\",\n", " zorder=3\n", " )\n", "\n", " # Flechas\n", " for i in range(n):\n", " for j in range(n):\n", "\n", " if pi[i,j] > 1e-10:\n", "\n", " ax.annotate(\n", " \"\",\n", " xy=Y[j],\n", " xytext=X[i],\n", " arrowprops=dict(\n", " arrowstyle=\"->\",\n", " color=\"black\",\n", " lw=0.3 + line_scale*np.sqrt(pi[i,j]),\n", " alpha=0.7,\n", " shrinkA=8,\n", " shrinkB=8\n", " ),\n", " zorder=1\n", " )\n", "\n", " ax.set_aspect(\"equal\")\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", " ax.set_title(\n", " rf\"$p={p}$\" \"\\n\"\n", " rf\"$W_p={Wp:.3f}$\"\n", " )\n", "\n", "axs[0,0].legend()\n", "\n", "fig.suptitle(\n", " \"Plan óptimo de Kantorovich para distintos valores de $p$\",\n", " fontsize=16\n", ")\n", "\n", "fig.tight_layout(rect=[0,0,1,0.96], h_pad=3)\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "T8qRvbqEjUUr" }, "source": [ "## 5. El problema de Kantorovich para medidas continuas\n", "\n", "Hasta ahora estudiamos el problema de Kantorovich para medidas discretas, donde las masas estaban concentradas en un número finito de puntos. En este ejemplo consideraremos dos medidas absolutamente continuas sobre el intervalo $[0,1]$.\n", "\n", "Tomaremos dos densidades de probabilidad\n", "\n", "$$\n", "d\\mu(x)=\\rho_0(x)\\,dx,\n", "\\qquad\n", "d\\nu(x)=\\rho_1(x)\\,dx,\n", "$$\n", "\n", "y el costo cuadrático\n", "\n", "$$\n", "c(x,y)=|x-y|^2.\n", "$$\n", "\n", "Para resolver numéricamente el problema discretizaremos el intervalo mediante una grilla uniforme. Cada densidad se aproximará por una medida discreta cuyos pesos son proporcionales a los valores de la densidad en los puntos de la grilla.\n", "\n", "Una vez obtenidas estas aproximaciones discretas, utilizaremos nuevamente la función `emd` de la librería **POT (Python Optimal Transport)** para calcular el plan óptimo de Kantorovich.\n", "\n", "En la figura de la izquierda se representan las dos densidades de probabilidad. En la de la derecha se muestra el plan óptimo de transporte, representado como una matriz cuyos coeficientes indican cuánta masa es transportada desde cada punto de la grilla hacia cada uno de los puntos destino. Esta matriz puede interpretarse como una aproximación discreta del plan de transporte óptimo." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 425 }, "executionInfo": { "elapsed": 727, "status": "ok", "timestamp": 1785524222441, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "s_NjNyMIgq1N", "outputId": "a268363d-0594-4a80-e1aa-2b86fabe720c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "W_2 = 0.1861\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import ot\n", "from scipy.spatial.distance import cdist\n", "\n", "# ==========================================================\n", "# Discretización del intervalo\n", "# ==========================================================\n", "\n", "N = 100\n", "\n", "x = np.linspace(0,1,N)\n", "dx = x[1]-x[0]\n", "\n", "# ==========================================================\n", "# Densidades\n", "# ==========================================================\n", "\n", "rho0 = 1 + 0.5*np.sin(2*np.pi*x)\n", "rho1 = 1 - 0.5*np.sin(2*np.pi*x)\n", "\n", "# Normalización\n", "rho0 /= np.sum(rho0)*dx\n", "rho1 /= np.sum(rho1)*dx\n", "\n", "# Masas discretas\n", "a = rho0*dx\n", "b = rho1*dx\n", "\n", "# ==========================================================\n", "# Matriz de costos\n", "# ==========================================================\n", "\n", "p = 2\n", "\n", "dist2 = cdist(x[:,None], x[:,None], metric=\"sqeuclidean\")\n", "C = dist2**(p/2)\n", "\n", "# ==========================================================\n", "# Plan óptimo\n", "# ==========================================================\n", "\n", "pi = ot.emd(a,b,C)\n", "\n", "cost = np.sum(pi*C)\n", "Wp = cost**(1/p)\n", "\n", "print(f\"W_{p} = {Wp:.4f}\")\n", "\n", "# ==========================================================\n", "# Figura\n", "# ==========================================================\n", "\n", "fig,axs = plt.subplots(1,2,figsize=(10,4))\n", "\n", "# ---------------------------------------\n", "# Densidades\n", "# ---------------------------------------\n", "\n", "axs[0].plot(x,rho0,lw=2,label=r\"$\\rho_0$\")\n", "axs[0].plot(x,rho1,lw=2,label=r\"$\\rho_1$\")\n", "\n", "axs[0].set_xlabel(\"$x$\")\n", "axs[0].set_ylabel(\"densidad\")\n", "axs[0].legend()\n", "axs[0].set_title(\"Medidas\")\n", "\n", "# ---------------------------------------\n", "# Plan de transporte\n", "# ---------------------------------------\n", "\n", "im = axs[1].imshow(\n", " pi.T,\n", " origin=\"lower\",\n", " extent=[0,1,0,1],\n", " aspect=\"auto\"\n", ")\n", "\n", "axs[1].set_xlabel(\"$x$\")\n", "axs[1].set_ylabel(\"$y$\")\n", "axs[1].set_title(rf\"Plan óptimo ($W_{p}={Wp:.3f}$)\")\n", "\n", "plt.colorbar(im, ax=axs[1])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "BTeQSQegjtwU" }, "source": [ "### Un plan de Kantorovich inducido por un mapa\n", "\n", "La figura obtenida resulta especialmente interesante. Puede observarse que el plan óptimo no distribuye la masa sobre una región bidimensional del plano $[0,1]\\times[0,1]$, sino que está prácticamente concentrado sobre una curva.\n", "\n", "Esto sugiere que, para cada punto de partida $x$, toda la masa es enviada a un único punto destino $y=T(x)$. En otras palabras, el plan óptimo parece estar soportado sobre el gráfico de una función,\n", "\n", "$$\n", "\\{(x,T(x)):\\;x\\in[0,1]\\},\n", "$$\n", "\n", "lo que indica que el plan de Kantorovich está inducido por un **mapa de transporte**. En ese caso, el problema de Kantorovich y el problema de Monge tienen la misma solución.\n", "\n", "En una dimensión, este fenómeno no es casual. Más adelante veremos que, bajo hipótesis muy generales y para costos de la forma\n", "\n", "$$\n", "c(x,y)=|x-y|^p,\\qquad p>1,\n", "$$\n", "\n", "el plan óptimo está efectivamente inducido por un único mapa de transporte." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "cellView": "form", "colab": { "base_uri": "https://localhost:8080/", "height": 445 }, "executionInfo": { "elapsed": 316, "status": "ok", "timestamp": 1785524248633, "user": { "displayName": "Julian Fernandez Bonder", "userId": "01548826079249958852" }, "user_tz": 180 }, "id": "1oTTbl_3hS_l", "outputId": "1f35d1b7-a817-4202-8791-bbfd129213b3" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# @title\n", "# Calculamos las funciones de distribución acumulada (CDF) de mu y nu.\n", "# Como las medidas son discretas con masas a_i y b_j, las CDF son escalonadas.\n", "# Agregamos un 0 al comienzo para que F(x_0^-) = 0.\n", "F0 = np.concatenate(([0], np.cumsum(a))) # CDF de mu\n", "F1 = np.concatenate(([0], np.cumsum(b))) # CDF de nu\n", "\n", "# El mapa óptimo en 1D es T = F_nu^{-1} ∘ F_mu,\n", "# donde F_nu^{-1} es la pseudoinversa (cuantil generalizado) de F_nu.\n", "# np.interp(F0[:-1], F1[:-1], x) evalúa numéricamente F_nu^{-1}(F_mu(x_i)).\n", "T = np.interp(F0[:-1], F1[:-1], x)\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.plot(x, T, lw=2)\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$T(x)$\")\n", "plt.title(r\"Mapa óptimo $T = F_\\nu^{-1} \\circ F_\\mu$\")\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "af2960ff", "metadata": {}, "source": [ "## 6. Cuando no existe ningún mapa de Monge\n", "\n", "El ejemplo más simple de la diferencia entre Monge y Kantorovich es $\\mu=\\delta_0$ y $\\nu=\\frac12(\\delta_{-1}+\\delta_1)$: un mapa $T$ envía toda la masa de $\\mu$ a un único punto $T(0)$, así que $T_\\#\\mu$ es una masa de Dirac y nunca puede ser $\\nu$. El conjunto de mapas de transporte es **vacío**, y el problema de Monge no tiene sentido. El problema de Kantorovich, en cambio, tiene exactamente un plan admisible, que divide la masa en dos.\n", "\n", "Un fenómeno relacionado ocurre cuando $\\mu$ y $\\nu$ tienen la misma cantidad de átomos pero masas incompatibles: por ejemplo $\\mu=\\frac13\\delta_{x_1}+\\frac23\\delta_{x_2}$ y $\\nu=\\frac12\\delta_{y_1}+\\frac12\\delta_{y_2}$. Verificamos con POT que el plan óptimo divide la masa del átomo pesado, y que **no** hay ningún plan inducido por un mapa (un mapa entre estos soportes es una de las cuatro funciones $\\{x_1,x_2\\}\\to\\{y_1,y_2\\}$, y ninguna transporta $\\mu$ en $\\nu$)." ] }, { "cell_type": "code", "execution_count": null, "id": "f36c5b62", "metadata": {}, "outputs": [], "source": [ "# @title\n", "import numpy as np, ot, itertools\n", "\n", "# --- mu = delta_0, nu = (delta_{-1} + delta_1)/2\n", "a0 = np.array([1.0]); X0 = np.array([[0.0]])\n", "b0 = np.array([0.5, 0.5]); Y0 = np.array([[-1.0], [1.0]])\n", "pi0 = ot.emd(a0, b0, (X0 - Y0.T)**2)\n", "print(\"Plan de Kantorovich entre delta_0 y (delta_-1 + delta_1)/2:\\n\", pi0)\n", "print(\"Pi(mu,nu) tiene un solo elemento y no proviene de un mapa: la fila tiene dos entradas positivas.\\n\")\n", "\n", "# --- masas incompatibles\n", "a1 = np.array([1/3, 2/3]); b1 = np.array([1/2, 1/2])\n", "X1 = np.array([[0.0], [1.0]]); Y1 = np.array([[0.2], [0.9]])\n", "C1 = (X1 - Y1.T)**2\n", "pi1 = ot.emd(a1, b1, C1)\n", "print(\"Plan óptimo con masas (1/3, 2/3) -> (1/2, 1/2):\\n\", pi1)\n", "\n", "# los cuatro mapas posibles {x1,x2} -> {y1,y2}\n", "print(\"\\nMapas T: {x1,x2} -> {y1,y2} y la medida T_# mu que producen:\")\n", "for T in itertools.product([0, 1], repeat=2):\n", " Tmu = np.zeros(2)\n", " for i, j in enumerate(T):\n", " Tmu[j] += a1[i]\n", " print(f\" T = (y{T[0]+1}, y{T[1]+1}): T_# mu = {Tmu} -> {'= nu' if np.allclose(Tmu, b1) else 'distinto de nu'}\")" ] }, { "cell_type": "markdown", "id": "ec6dbb0e", "metadata": {}, "source": [ "## 7. El conjunto $\\Pi(\\mu,\\nu)$ y sus vértices\n", "\n", "En el caso discreto, $\\Pi(\\mu,\\nu)$ es un **politopo** (un conjunto convexo, compacto, definido por igualdades y desigualdades lineales) y el funcional de Kantorovich es lineal, así que el mínimo se alcanza en un **vértice**. Esto tiene dos consecuencias que se ven muy bien numéricamente.\n", "\n", "Primero, el ejemplo más pequeño posible: $\\mu=\\nu=\\frac12(\\delta_0+\\delta_1)$. Los planes son las matrices $\\bigl(\\begin{smallmatrix}t & \\frac12-t\\\\ \\frac12-t & t\\end{smallmatrix}\\bigr)$ con $t\\in[0,\\frac12]$: un segmento. El costo es una función afín de $t$, así que el mínimo está en un extremo. Los extremos son los dos planes inducidos por mapas (la identidad y el intercambio); el punto medio $t=\\frac14$ es el plan del Ejercicio 1.7 de las notas, que no proviene de ningún mapa.\n", "\n", "Segundo, en general un vértice de $\\Pi(\\mu,\\nu)$ tiene a lo sumo $n+m-1$ entradas no nulas (Ejercicio 3.4), y cuando las masas son uniformes e iguales los vértices son exactamente las matrices de permutación divididas por $n$ (teorema de Birkhoff). Verificamos ambas cosas con el solver: el plan que devuelve `ot.emd` es siempre un vértice." ] }, { "cell_type": "code", "execution_count": null, "id": "f5d39e98", "metadata": {}, "outputs": [], "source": [ "# @title\n", "import matplotlib.pyplot as plt\n", "\n", "# --- el segmento Pi(mu,nu) para mu = nu = (delta_0 + delta_1)/2\n", "ts = np.linspace(0, 0.5, 101)\n", "costo_cuad = [(0.5 - t)*2*1.0 for t in ts] # c = |x-y|^2: las entradas fuera de la diagonal cuestan 1\n", "costo_max = [t*2*0 + (0.5 - t)*2*(-1) for t in ts] # c = -|x-y|^2 (maximizar la distancia)\n", "\n", "plt.figure(figsize=(6, 3.5))\n", "plt.plot(ts, costo_cuad, label=r'$c=|x-y|^2$')\n", "plt.plot(ts, costo_max, label=r'$c=-|x-y|^2$')\n", "plt.axvline(0.25, color='gray', ls=':', label=r'$t=1/4$: plan producto (no es un mapa)')\n", "plt.xlabel('t'); plt.ylabel('costo del plan'); plt.legend(); plt.title(r'El costo es afín en $t$: el mínimo está en un vértice')\n", "plt.show()\n", "\n", "# --- vértices: número de entradas no nulas\n", "rng = np.random.default_rng(0)\n", "n, m = 20, 30\n", "X = rng.random((n, 2)); Y = rng.random((m, 2))\n", "a = rng.dirichlet(np.ones(n)); b = rng.dirichlet(np.ones(m))\n", "C = cdist(X, Y, metric=\"sqeuclidean\")\n", "pi = ot.emd(a, b, C)\n", "print(f\"Masas genéricas: entradas no nulas del plan óptimo = {np.sum(pi > 1e-12)} (cota: n+m-1 = {n+m-1})\")\n", "\n", "# --- masas uniformes e iguales: el plan es una permutación\n", "n = 25\n", "X = rng.random((n, 2)); Y = rng.random((n, 2))\n", "a = b = np.ones(n)/n\n", "pi = ot.emd(a, b, cdist(X, Y, metric=\"sqeuclidean\"))\n", "es_perm = np.allclose(np.sort(pi, axis=1)[:, -1], 1/n) and np.all(np.sum(pi > 1e-12, axis=1) == 1)\n", "print(f\"Masas uniformes: ¿el plan óptimo es una matriz de permutación / n? {es_perm}\")\n", "sigma = np.argmax(pi, axis=1)\n", "rows, cols = linear_sum_assignment(cdist(X, Y, metric=\"sqeuclidean\"))\n", "print(\"¿Coincide con la asignación óptima de scipy?\", np.array_equal(sigma, cols))" ] }, { "cell_type": "markdown", "id": "a5be577d", "metadata": {}, "source": [ "### No unicidad del plan óptimo\n", "\n", "El mínimo de una función lineal sobre un politopo puede alcanzarse en más de un vértice (y entonces en toda la cara que los une). Un ejemplo con costo $|x-y|$ en dimensión uno: $\\mu$ uniforme en $\\{0,1,2,3\\}$ y $\\nu$ uniforme en $\\{1,2,3,4\\}$. El costo óptimo es $1$ (toda la masa debe moverse en promedio una unidad hacia la derecha), y lo alcanzan muchos planes: mover cada átomo un lugar, o mover sólo el $0$ hasta el $4$, entre otros. El solver devuelve **uno** de ellos, y cuál devuelve depende de detalles de la implementación; perturbando levemente el costo obtenemos distintos vértices óptimos." ] }, { "cell_type": "code", "execution_count": null, "id": "eb14928f", "metadata": {}, "outputs": [], "source": [ "# @title\n", "x = np.arange(4.0); y = np.arange(1.0, 5.0)\n", "a = b = np.ones(4)/4\n", "C = np.abs(x[:, None] - y[None, :])\n", "pi = ot.emd(a, b, C)\n", "print(\"Plan que devuelve el solver (costo = %.4f):\\n\" % np.sum(C*pi), np.round(pi*4).astype(int), \" (x4)\")\n", "\n", "# planes alternativos escritos a mano, todos con costo 1\n", "pi_shift = np.eye(4)/4\n", "pi_salto = np.zeros((4, 4)); pi_salto[0, 3] = 1/4; pi_salto[1, 0] = pi_salto[2, 1] = pi_salto[3, 2] = 1/4\n", "for nombre, p in [(\"desplazar todos un lugar\", pi_shift), (\"saltar 0 -> 4\", pi_salto), (\"promedio de ambos\", (pi_shift + pi_salto)/2)]:\n", " print(f\"{nombre:>28}: costo = {np.sum(C*p):.4f}, marginales correctas: {np.allclose(p.sum(1), a) and np.allclose(p.sum(0), b)}\")\n", "\n", "# perturbaciones del costo: distintos vértices óptimos\n", "print(\"\\nVértices óptimos distintos obtenidos perturbando el costo (soportes):\")\n", "vistos = set()\n", "for k in range(20):\n", " Ck = C + 1e-9*rng.random(C.shape)\n", " pk = ot.emd(a, b, Ck)\n", " sop = tuple(map(tuple, (pk > 1e-12).astype(int)))\n", " if sop not in vistos and abs(np.sum(C*pk) - 1) < 1e-9 and len(vistos) < 4:\n", " vistos.add(sop); print(np.array(sop), \"\\n\")" ] }, { "cell_type": "markdown", "id": "0442c036", "metadata": {}, "source": [ "## 8. Costos cóncavos: $p<1$\n", "\n", "En la Sección 4 vimos el efecto de $p\\ge1$. Para $05} {'∫|x-f_n(x)|² dx':>18} (límite: 1/6 = {1/6:.4f})\")\n", "for n in [1, 2, 5, 10, 40, 200]:\n", " fn = (n*xs) % 1.0\n", " print(f\"{n:>5} {np.mean((xs - fn)**2):>18.4f}\")" ] }, { "cell_type": "markdown", "id": "c9fd1a6e", "metadata": {}, "source": [ "## Ejercicios computacionales\n", "\n", "Los enunciados siguientes figuran también en las notas, en la sección de ejercicios del Capítulo 2.\n", "\n", "1. **Asignación y Kantorovich.** Para $n$ puntos con masas uniformes, verificar que `ot.emd` devuelve siempre una matriz de permutación dividida por $n$ y que coincide (en costo) con `linear_sum_assignment`. Para masas genéricas, contar las entradas no nulas del plan óptimo y comprobar la cota $n+m-1$. Construir un ejemplo con $n=m=3$ en el que el plan óptimo tenga exactamente $5$ entradas no nulas, y otro en el que tenga menos.\n", "\n", "2. **El segmento $\\Pi(\\mu,\\nu)$.** Para $\\mu=\\nu=\\frac12(\\delta_0+\\delta_1)$ y los costos $c=|x-y|^2$, $c=\\mathbf 1_{x\\ne y}$ y $c=-|x-y|^2$, graficar el costo como función del parámetro $t$ del segmento e identificar todos los planes óptimos en cada caso. ¿Para qué costo son óptimos todos los planes?\n", "\n", "3. **Birkhoff.** Generar una matriz biestocástica $M$ como combinación convexa aleatoria de cinco permutaciones. Para un costo aleatorio $C$, comprobar que el plan óptimo del LP es una permutación y que $\\langle C,M\\rangle$ es estrictamente mayor que el óptimo (salvo coincidencias). Implementar la descomposición de Birkhoff: encontrar una permutación $\\sigma$ con $M_{i\\sigma(i)}>0$ para todo $i$ (usar `linear_sum_assignment` sobre $-\\log M$), restar $t\\,\\pi^\\sigma$ con $t=\\min_iM_{i\\sigma(i)}$ y repetir hasta llegar a cero. ¿Cuántas permutaciones aparecen?\n", "\n", "4. **Costos cóncavos.** Con las densidades de la Sección 5, calcular la masa que el plan óptimo deja en la diagonal $\\{y=x\\}$ como función de $p\\in(0,2]$ y graficarla. Explicar el salto en $p=1$ usando la Proposición sobre costos convexos no estrictos del Capítulo 8 y el Ejercicio 8.5.\n", "\n", "5. **Convergencia débil de planes.** Con las funciones diente de sierra $f_n$, verificar numéricamente que $\\int\\phi(x)\\psi(f_n(x))\\,dx\\to\\int\\phi\\int\\psi$ para varias $\\phi,\\psi$ continuas (por ejemplo, polinomios y senos). Repetir con $f_n(x)=x+\\frac1n \\bmod 1$: ¿a qué plan convergen ahora los $\\pi_n$? ¿Está inducido por un mapa?" ] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyMoFuNCokJqPuiQexK+w/g7", "provenance": [] }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }