{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Denoising Diffusion Model\n", "\n", "This numerical tours explains denoising diffusion model on a simple 1-D example. The density to sample from is a mixture of Gaussian, so that the diffused densities can be computed in closed form.\n", "\n", "To learn more about diffiusion model, you can have a look at [Valentin de Bortoli courses's slides](https://vdeborto.github.io/project/generative_modeling/). I have written [a short mathematical memo here](https://mathematical-tours.github.io/book-sources/optim-ml/OptimML-DiffusionModels.pdf).\n", "\n", "Note that this tours uses [JAX](https://github.com/google/jax) (to compute the gradient of the closed form expression for the score, but this can be instead coded by hand if needed) and [FLAX](https://github.com/google/flax) for the last part (implementing a MLP for score matching)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixture of Gaussians\n", "In order to be able to have closed form formula for the flows simulated bellow, we consider 1-D mixtures of Gaussians $\\sum_i a_i \\mathcal{N}(\\mu_i,\\sigma_i^2)$ parameterized by $(a,\\mu,\\sigma)$.\n", "We define their density functions and a sampling operator." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def gauss(x,m,s): return 1/( jnp.sqrt(2*jnp.pi) * s ) * jnp.exp( -(x-m)**2 / (2*s**2) )\n", "def gaus_mixture(x,mu,sigma,a):\n", " y = x*0\n", " for i in range(len(mu)):\n", " y = y + a[i] * gauss(x,mu[i],sigma[i])\n", " return y\n", "def sample_mixture(P, mu,sigma,a): \n", " key = jax.random.PRNGKey(0) \n", " key, subkey = jax.random.split(key)\n", " I = jax.random.choice(subkey, jnp.arange(0, len(a)), shape=(P,1), p=a)\n", " key, subkey = jax.random.split(key)\n", " return ( mu[I] + jax.random.normal(subkey, (P,1))*sigma[I] ).flatten()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define also helpers for the display of histograms and trajectories." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fs = (6, 3)\n", "xmax = 3\n", "nbins = 200\n", "def display_histogram(X0):\n", " h0,b = np.histogram(X0.flatten(), bins=nbins, range=[-xmax, xmax])\n", " plt.bar( np.linspace(-xmax,xmax,nbins), h0/P * nbins/(2*xmax), width=2*xmax/(nbins-1), align='center', color='red')\n", "def display_trajectories(Y, m = 1000, alpha=.3, linewidth=.2): # m=number of trajectories to display\n", " disp_ind = np.round( np.linspace(0,P-1,m) ).astype(jnp.int32)\n", " I = np.argsort(Y[:,-1])\n", " Y = Y[I,:]\n", " for i in range(m):\n", " k = disp_ind[i]\n", " s = k/(P-1)\n", " plt.plot( np.linspace(0,T,N), Y[k,:], color=[s,0,1-s], alpha=alpha, linewidth=linewidth )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a measure $\\rho_0(x)$ defined as a mixture and display." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "mu = jnp.array([-.7, 0, .5])*3 # mean\n", "sigma = jnp.array([.02, .05, .03])*9 # std\n", "a = jnp.array([2, 3, 2]) # weight, should sum to 1\n", "a = a/jnp.sum(a)\n", "def rho0(x): return gaus_mixture(x,mu,sigma,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evaluate the density on a grid and display it." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = jnp.linspace(-xmax,xmax,1000)\n", "plt.figure(figsize=fs)\n", "plt.fill_between(x,rho0(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Langevin sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Blabla." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To sample from a density $\\rho_0(x)$, Langevin diffusion performs a gradient descent on the negative log-density, which reads, for a step size $\\tau>0$, \n", "$$\n", " X_{k+1} := X_k + \\tau \\eta_0(X_k) + \\sqrt{2\\tau}W_k\n", "$$ \n", "where the $W_{k} \\sim \\mathcal{N}(0,\\text{Id})$ are i.d.d. Gaussian white noise, and where the ``non-smoothed'' (we will introduced its smoothed version later) score reads\n", "$$\n", " \\eta_0(x) := \\nabla \\log \\rho_0(x) = \\frac{\\nabla \\rho_0(x)}{\\rho_0(x)}.\n", "$$\n", "\n", "When $\\tau \\rightarrow 0$, this corresponds to the following Langevin SDE\n", "$$\n", " d X_t = \\eta_0(X_t) d t + \\sqrt{2\\tau} d W_t\n", "$$\n", "where $W_t$ is a Wiener process. \n", "\n", "One can show that the law of $X_T$ converges in law toward $\\rho_0$.\n", "\n", "We first compute and display this score." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grad_rho0 = jax.grad(rho0)\n", "grad_rho0_vec = jnp.vectorize(grad_rho0)\n", "def eta0(x): return grad_rho0_vec(x) / rho0(x)\n", "plt.figure(figsize=fs)\n", "plt.plot(x,rho0(x))\n", "plt.plot(x,eta0(x)/40);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample $Z_0$ from the initial density at time $t=0$, which is uniform on $[-w/2,w/2]$. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "P = 50000 # number of particles\n", "key = jax.random.PRNGKey(666)\n", "w = 6 # support of the indicator\n", "Z0 = w*jax.random.uniform(key, (P,))-w/2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run the recursion of Langevin." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "T = 10 # final time\n", "N = 5000 # number of steps\n", "tau = T / N # step size\n", "\n", "def step(carry, _):\n", " x_prev, key = carry\n", " key, subkey = jax.random.split(key)\n", " x_next = x_prev + tau * eta0(x_prev) + jnp.sqrt(2 * tau) * jax.random.normal(subkey, (P,))\n", " return (x_next, key), x_next\n", "\n", "# Initialize PRNG key\n", "key = jax.random.PRNGKey(666)\n", "# Perform scan\n", "_, Z = jax.lax.scan(step, (Z0, key), jnp.arange(1, N))\n", "# Add initial condition as the first column\n", "Z = jnp.column_stack((Z0, Z.T))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display evolving empirical densities by showing the histograms of the samples." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disp_ind = ( jnp.array([0, .001, .005, .01, 1])*N ).astype(jnp.int32) \n", "for i in range(len(disp_ind)):\n", " k = disp_ind[i]\n", " plt.subplot(len(disp_ind),1,i+1)\n", " display_histogram(Z[:,k])\n", " plt.fill_between(x, rho0(x), color=[0,0,1,.25] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display sample path $t \\mapsto X_t$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gpeyre/miniconda3/lib/python3.10/site-packages/jax/_src/numpy/lax_numpy.py:3662: UserWarning: 'kind' argument to argsort is ignored; only 'stable' sorts are supported.\n", " warnings.warn(\"'kind' argument to argsort is ignored; only 'stable' sorts \"\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=fs)\n", "display_trajectories(Z, m=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward noising process\n", "\n", "The two major issues with Langevin is that it converges slowly for singular $\\eta_0$ (in particular with highly non concave log-density) and that it needs $\\eta_0$ to be known in closed form or estimated. For applications to generative model, this is unacceptable, because $\\rho_0$ is only known approximately from sample. It is very hard to estimate $\\eta_0$ from sample, but as we will see, it is possible to instead estimated smoothed version of it. Diffusion model leverage this by replacing Lancegin sampling by another sampling method that rely on such smoothed score. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sampling method is achieved by inversing a forward ``noising process''. We consider the following noising model\n", "$$\n", " d X_t = -X_t + \\sqrt{2} dW_t\n", "$$\n", "where $W_t$ is a Wiener process. From the knowledge of $X_0$, the law $\\rho_t$ of $X_t$ can be computed exactly as the law of\n", "$$\n", " X_t \\sim e^{-t} X_0 + \\sqrt{1-e^{-2t}} Z\n", "$$\n", "where $Z \\sim \\mathcal{N}(0,1)$.\n", "\n", "In the case of a mixture of Gaussian considered here, \n", "$$\n", " X_0 \\sim \\rho_0 \\triangleq \\sum_i a_i \\mathcal{N}(\\mu_i,\\sigma_i^2)\n", "$$\n", "the law of $X_t$ can thus be computed exactly in closed form as \n", "$$\n", " X_t \\sim \\rho_t \\triangleq \\sum_i a_i \\mathcal{N}(e^{-t} \\mu_i, e^{-2t} \\sigma_i^2 + 1-e^{-2t})\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def rho(x,t):\n", " sigma_t = jnp.sqrt( jnp.exp(-2*t)*sigma**2 + 1 - jnp.exp(-2*t) )\n", " return gaus_mixture(x, mu*jnp.exp(-t), sigma_t,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display evolution with $t$ of the density $\\rho_t(x)$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=fs)\n", "t_list = jnp.array([0, .1, .5, 2, 100])/10\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " plt.fill_between(x,rho(x,t), color=[s,0,1-s, .25], label=f't={t:.1f}', linewidth=0 )\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first generate $P$ sample $X_0$ from the mixture of Gaussian at time $t=0$, and compare the associated empirical histogram with the density." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X0 = sample_mixture(P, mu,sigma,a)\n", "plt.figure(figsize=fs)\n", "display_histogram(X0)\n", "plt.plot( x, gaus_mixture(x,mu,sigma,a) ) ;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The forward noising process is computed numerically approximately with using an Euler-Maruyama scheme\n", "$$\n", " X_{k+1} = X_k - \\tau X_k + \\sqrt{2\\tau} W_k,\n", "$$\n", "where $W_k$ are i.i.d. white noises." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set the final time $T$, which should be large enough so that the final distribution of $X_T$ is approximately $\\mathcal{N}(0,1)$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "T = 2 # final time\n", "N = 3000 # number of steps\n", "tau = T / N # step size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now run the recursion." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def step(carry, _):\n", " x_prev, key = carry\n", " key, subkey = jax.random.split(key)\n", " x_next = x_prev - tau * x_prev + jnp.sqrt(2 * tau) * jax.random.normal(subkey, (P,))\n", " return (x_next, key), x_next\n", "\n", "# Initialize PRNG key\n", "key = jax.random.PRNGKey(666)\n", "# Perform scan\n", "_, X = jax.lax.scan(step, (X0, key), jnp.arange(1, N))\n", "# Add initial condition as the first column\n", "X = jnp.column_stack((X0, X.T))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# display evolving density\n", "t_list = jnp.array([0, .01, .05, .2, T])\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " k = np.round( t/tau ).astype(jnp.int32) \n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot(x,rho(x,t), color='blue' )\n", " display_histogram(X[:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reverse diffusion \n", "\n", "The score is the vector field\n", "$$\n", " \\nabla \\log(\\rho(x,t)) = \\frac{\\nabla \\rho(x,t)}{\\rho(x,t)}.\n", "$$\n", "Informally, it points toward regions of high densities. \n", "\n", "Since here $\\rho(x,t)$ can be computed in closed form, the score can itself be computed in closed form. Of course, in real situation, it is impossible, and we will see in the next section how to approximate it numerically from sampled of $\\rho(x,t)$. \n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grad_rho = jax.grad(rho)\n", "grad_rho_vec = jnp.vectorize(grad_rho)\n", "def score(x,t): return grad_rho_vec(x, t) / rho(x,t)\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot( x, rho(x, t) )\n", " plt.plot( x, score(x, t) / 20 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The actual sampling (the generative process) is now done by reverting in time this process, i.e., for a large enough $T \\gg 0$, one seeks to approximate $X_{T-t}$. \n", "\n", "The main result of diffusion model is that the law of $X_{T-t}$ is exaclty equal to the law of $Y_t$ satisfying the following Langevin SDE, initialized with $Y_0=X_T$\n", "$$\n", "\t\\mathrm{d} Y_t = [ Y_t + (1+\\alpha) \\nabla \\log(\\rho_{T-t})(Y_t) ] \\mathrm{d} t + \\sqrt{2 \\alpha} \\mathrm{d} W_t\n", "$$\n", "where $\\alpha \\geq 0$ is a parameter controlling the randomness introduced during the bacwkard flow.\n", "This can be discretized using an Euler-Maruyama scheme, starting from $Y_0=X_{T/\\tau}$\n", "$$\n", "\tY_{k+1} = Y_k + \\tau Y_t + (1+\\alpha) \\nabla \\log(\\rho_{T-t})(Y_t) + \\sqrt{2\\tau\\alpha} W_k. \n", "$$\n", "\n", "The case $\\alpha=1$ is the one used in diffusion model. Setting different value of $\\alpha$ is equivalent to changing the time of the diffusion. The case $\\alpha=0$ corresponds to a singular limit which is only random at $Y_0$ but after follow an advection equation\n", "$$\n", "\t\\frac{\\mathrm{d} Y_t}{\\mathrm{d} t} = Y_t + \\nabla \\log(\\rho_{T-t})(Y_t)\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample $Y_0$ from the stationary distribution $\\mathcal{N}(0,1)$. Since we are in 1-D, instead of using random sample, we use deterministic \"optimal\" (in quantization error aka Optimal Transport) sample location, given by the uniform sampling of the inverse cumulative distribution (quantile) of the Gaussian." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy as sp\n", "Y0 = sp.stats.norm.ppf( np.arange(0,P)/P + 1/(2*P) )\n", "plt.figure(figsize=fs)\n", "display_histogram(Y0)\n", "plt.plot( x, rho(x, 10) );" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Implement the backward recursion." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "alpha = 0 # pure advection\n", "alpha = .01 # original diffusion is alpha=1\n", "def step(carry, _):\n", " y_prev, key, t = carry\n", " key, subkey = jax.random.split(key)\n", " y_prev = y_prev + tau * ( y_prev + (1+alpha)*score(y_prev,t) ) + jnp.sqrt(2 * tau * alpha) * jax.random.normal(subkey, (P,))\n", " return (y_prev, key, t-tau), y_prev\n", "\n", "# Initialize PRNG key\n", "key = jax.random.PRNGKey(666)\n", "# Perform scan\n", "_, Y = jax.lax.scan(step, (Y0, key, T), jnp.arange(1, N))\n", "# Add initial condition as the first column\n", "Y = jnp.column_stack((Y0, Y.T))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the evolution of the density of the law of $Y_{T-t}$. It is close to $\\rho_t(x)$, and one can show that it matches exactly when $T \\to +\\infty$ and $\\tau \\to 0$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# display evolving density\n", "t_list = T-jnp.array([0, .01, .05, .2, T])\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " k = np.round( t/tau ).astype(jnp.int32) \n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot(x,rho(x,T-t), color='blue' )\n", " display_histogram(Y[:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Displays sample of trajectories $t \\mapsto Y_t$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_trajectories(Y, m=100, alpha=.5, linewidth=1)\n", "plt.axis([.4*T, T, -3, 3]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Denoising Score Matching\n", "\n", "In order to be able to implement the reverse diffusion, one needs to compute the score $\\nabla \\log(\\rho_t)$, where $\\rho_t$ is the density of the distribution of $X_t$. The idea is to approximate this score using a function computed from samples of $X_t$.\n", "\n", "$$\n", "\t\\nabla \\log \\rho_t(z) \\approx \\phi_\\theta(z,t) \n", "$$\n", "$$\n", "\t\\underset{\\theta}{\\min} \\quad \\text{Loss}(\\theta) \n", "\t:= \n", "\t\\int_t \\int_x \\int_z \\| \\frac{e^{-t} x - z}{1-e^{-2t}} - \\phi_\\theta(z,t) \\|^2 \\, \\text{d} \\mathbb{P}(z|x) \\text{d} \\rho_0(x) \\lambda_t \\text{d} t\n", "$$\n", "where $\\lambda_t$ is a density of sampled time. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To generate the pairs $(X_0,X_t)$ we first sample $X_0$ and then sample $\\mathbb{P}(X_t|X_0)$ which we know in closed form." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "N = 20000\n", "X0 = sample_mixture(N, mu,sigma,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sampling density $\\lambda_t$ of time, we use a uniform distribution of time within $[10^{-2},T]$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "Tmin = 1e-1\n", "Tmax = .5\n", "t_list = jnp.linspace(Tmin,Tmax,N)\n", "# map t to the same range as x to ease NN training\n", "def tMap(t): return ( (t-Tmin)/(Tmax-Tmin) - 1/2 ) * 2*xmax\n", "def tMap_inv(z): return ( z/(2*xmax) + 1/2 ) * (Tmax-Tmin) + Tmin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To sample from $\\mathbb{P}(X_t|X_0)$, recall that given $X_0$, then $X_t$ can be sampled as\n", "$$\n", " X_t \\sim e^{-t} X_0 + \\sqrt{1-e^{-2t}} Z\n", "$$\n", "where $Z \\sim \\mathcal{N}(0,1)$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "key = jax.random.PRNGKey(12) \n", "W = jax.random.normal(key, (N,))\n", "Xt = jnp.exp(-t_list) * X0 + jnp.sqrt(1-jnp.exp(-2*t_list)) * W" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "Data_in = jnp.vstack((Xt,tMap(t_list))).T\n", "# denoising goal\n", "Data_out = ( jnp.exp(-t_list) * X0 - Xt ) / ( 1-jnp.exp(-2*t_list) )\n", "# ground trust\n", "scoreP = jax.vmap(score) # parallelized version \n", "# Data_out = scoreP(Xt,t_list)\n", "#plt.plot( Data_in[:,0], Data_in[:,1], '.' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For $\\phi_\\theta(z,t)$, we use a Multilayers Perceptron (MLP) layers neural network with input dimension $2$ (for $(z,t)$) and the output should approximate $\\frac{e^{-t} x - z}{1-e^{-2t}}$ and has dimension $1$ .The MLP has a varying number of layers and dimensions, encoded in `d_hidden`." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from flax import linen as nn\n", "class MLP(nn.Module):\n", " d_hidden: list\n", " d_out: int\n", " def setup(self):\n", " self.layers = [nn.Dense(d, use_bias=True) for d in self.d_hidden]\n", " self.layer_out = nn.Dense(self.d_out, use_bias=True)\n", " def __call__(self, x):\n", " for layer in self.layers:\n", " # x = nn.relu(layer(x))\n", " x = nn.sigmoid(layer(x))\n", " x = self.layer_out(x)\n", " return x" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "d_in = 2\n", "d_hidden = [50]\n", "d_hidden = [100, 20]\n", "d_hidden = [300, 100, 20]\n", "d_out = 1\n", "model = MLP(d_hidden=d_hidden, d_out=d_out)\n", "params = model.init(jax.random.PRNGKey(0), jnp.ones((1, d_in)))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "#@jax.jit\n", "def mse_loss(params, model, x, y):\n", " y_pred = model.apply(params, x)\n", " return jnp.mean((y_pred.flatten() - y.flatten())**2)\n", "#@jax.jit\n", "def update(params, model, x, y, learning_rate):\n", " loss = mse_loss(params, model, x, y)\n", " grad_loss = jax.grad(mse_loss)(params, model, x, y)\n", " updated_params = jax.tree_map(lambda p, g: p - learning_rate * g, params, grad_loss)\n", " return updated_params, loss" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_epochs = 600\n", "learning_rate = 0.04/2\n", "params = model.init(jax.random.PRNGKey(0), jnp.ones((1, d_in)))\n", "# params['params']['layers_0']['bias'] = np.random.randn( d_hidden[0] ) # init bias randomly \n", "\n", "import optax\n", "optimizer = optax.adam(learning_rate)\n", "opt_state = optimizer.init(params)\n", "loss_list = np.zeros(num_epochs)\n", "\n", "for i in range(num_epochs):\n", " grads = jax.grad(mse_loss)(params, model, Data_in, Data_out)\n", " updates, opt_state = optimizer.update(grads, opt_state)\n", " params = optax.apply_updates(params, updates)\n", " loss_list[i] = mse_loss(params, model, Data_in, Data_out)\n", " \n", "plt.plot(loss_list) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evaluate on a grid." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nT = 100\n", "nX = 200\n", "Tlist = jnp.linspace(Tmin,Tmax,nT)\n", "Xlist = jnp.linspace(-xmax,xmax,nX)\n", "A = np.zeros((nX,nT))\n", "B = np.zeros((nX,nT))\n", "for i in range(nT):\n", " A[:,i] = score( Xlist, Tlist[i] ) # ground trust to predict \n", " b = model.apply(params, jnp.vstack((Xlist, Xlist*0+tMap(Tlist[i]) )).T ) # approximation with neural network\n", " B[:,i] = b.flatten()\n", "plt.subplot(1,2,1)\n", "plt.imshow(A, extent=[Tmin, Tmax, -xmax,xmax], aspect='auto')\n", "plt.title('$\\\\eta_t(z)$')\n", "plt.ylabel('z')\n", "plt.xlabel('t')\n", "plt.subplot(1,2,2)\n", "plt.imshow(B, extent=[Tmin, Tmax, -xmax,xmax], aspect='auto')\n", "plt.title('$\\\\phi_{\\\\theta}(z,t)$')\n", "plt.xlabel('t');" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.10.8" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }