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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Hamiltonian Monte Carlo from Scratch\n",
"\n",
"Markov chain Monte Carlo (MCMC) is a method used for sampling from posterior distributions. Hamiltonian Monte Carlo (HMC) is a variant that uses gradient information to scale better to higher dimensions, and which is used by software like [PyMC3](https://pymc.io/) and [Stan](https://mc-stan.org/). Some great references on MCMC in general and HMC in particular are\n",
"- **Christopher Bishop's \"[Pattern Recognition and Machine Learning](https://www.microsoft.com/en-us/research/people/cmbishop/#!prml-book)\"** A classic machine learning textbook, and gives a good overview of motivating sampling, as well as a number of different sampling strategies.\n",
"- **Iain Murray's [lectures at the MLSS](http://videolectures.net/mlss09uk_murray_mcmc/)** A good, approachable lecture, including intuition about how these algorithms are applied and implemented\n",
"- **Michael Betancourt's \"[A Conceptual Introduction to Hamiltonian Monte Carlo](https://arxiv.org/abs/1701.02434)\"** A thorough, readable reference that is the main source here\n",
"\n",
"\n",
"## Our Strategy\n",
"\n",
"1. Give a few pictures of what is going on\n",
"2. Write down the math we need from Betancourt's \"A Conceptual Introduction to Hamiltonian Monte Carlo\"\n",
"3. Write down the implementation in Python\n",
"\n",
"One thing I am not going to do here is justify _why_ this works: Betancourt and his references do a good job of that. I will mention ways to make this algorithm fast, but will mostly implement these in future blog posts."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pictures of what's going on\n",
"\n",
"\n",
"### Hamiltonian trajectories\n",
"Starting from any point, we can generate a new sample from a probability distribution by giving the point some momentum and then updating the position and momentum according to a certain system of differential equations (Hamilton's equations, whence the name). The differential equation depends on the probability distribution, and we update the position and momentum using \"leapfrog integration\". Here are three trajectories of a 2d multivariate normal. \n",
"\n",
"<img src='normal_leapfrog.png'/>\n",
"\n",
"Calculating these trajectories is expensive, and we will do a lot of work to make this less expensive. Sometimes trajectories are not precisely ellipses. Here are three trajectories for a mixture of three normal distributions.\n",
"\n",
"<img src='mixture_leapfrog.png'/>\n",
"\n",
"Notice that the Hamiltonian dynamics preserve energy: the momentum is indicated by the size and direction of the arrows; when the trajectory is furthest away from one of the modes, the arrows are very small indicating large potential energy and small kinetic energy. There is also one trajectory that stays very close to a single mode because it does not have the energy to move to another.\n",
"\n",
"### Hamiltonian Monte Carlo\n",
"\n",
"Once we can generate these Hamiltonian trajectories, we fix an integration length, generate a trajectory of that length, and that is our next sample. Starting from that point, we pick a new momentum at random, and keep going. Here is an example of 10 draws from a 2D multivariate Gaussian with 3 different path lengths.\n",
"\n",
"<img src='normal_hmc.png'/>\n",
"\n",
"Notice that each trajectory starts from where the previous trajectory ended, but the momentum is totally different. In reality, we will make a much cruder estimate of the trajectory to save computing time, and accept or reject the proposal at the end of the trajectory, usually aiming to accept 60-80% of the time.\n",
"\n",
"Here also are trajectories for a mixture of 3 multivariate normals, again with 3 different path lengths.\n",
"\n",
"<img src='mixture_hmc.png'/>\n",
"\n",
"Notice that mixing between modes can be hard, and can take time! The path length of 2 never makes it to a different mode! Of course, this is only drawing 10 samples, but it is something to keep in mind while tuning an HMC sampler."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The math we need for Hamiltonian Monte Carlo\n",
"\n",
"*The goal of this section is to present the equations from Betancourt's paper, so we can reference them in the code.* \n",
"\n",
"It should not be obvious *why* this algorithm samples from the correct distribution. The interested reader will consult one of the references given earlier, particularly Betancourt's paper, whose notation I will use.\n",
"\n",
"\n",
"### How HMC works\n",
"1. We concatenate all of our parameters into a single _position_ variable, $\\mathbf{q}$. We are trying to sample from the probability density function $\\pi(\\mathbf{q})$. \n",
"\n",
"2. We add a _momentum_ variable, $\\mathbf{p}$, of the same dimension as $\\mathbf{q}$, and consider the probability distribution \n",
"$$\n",
"\\pi(\\mathbf{q}, \\mathbf{p}) = \\pi(\\mathbf{p} | \\mathbf{q}) \\pi(\\mathbf{q}),\n",
"$$\n",
"where we get to choose $\\pi(\\mathbf{p} | \\mathbf{q})$. In practice, we will choose $\\pi(\\mathbf{p} | \\mathbf{q}) = \\mathcal{N}(\\mathbf{0}, M)$, and in this essay, we will choose $M = I$.\n",
"3. Define the _Hamiltonian_, $H(\\mathbf{q}, \\mathbf{p}) = -\\log \\pi(\\mathbf{q}, \\mathbf{p})$.Given the factorization above, we get\n",
"$$\n",
"H(\\mathbf{q}, \\mathbf{p}) = -\\log \\pi(\\mathbf{p} | \\mathbf{q}) - \\log \\pi(\\mathbf{q}) = K(\\mathbf{p}, \\mathbf{q}) + V(\\mathbf{q}),\n",
"$$\n",
"where $K(\\mathbf{p}, \\mathbf{q})$ is called the _kinetic energy_, and $V(\\mathbf{q})$ is called the _potential energy_, using an analogy to physical systems.\n",
"4. We evolve the system $(\\mathbf{q}, \\mathbf{p})$ according to _Hamilton's equations_:\n",
"$$\n",
"\\frac{d \\mathbf{q}}{dt} = \\frac{\\partial H}{\\partial \\mathbf{p}} = \\frac{\\partial K}{\\partial \\mathbf{p}} + \\frac{\\partial V}{\\partial \\mathbf{p}}\\\\\n",
"\\frac{d \\mathbf{p}}{dt} = -\\frac{\\partial H}{\\partial \\mathbf{q}}= -\\frac{\\partial K}{\\partial \\mathbf{q}} + \\frac{\\partial V}{\\partial \\mathbf{q}}\n",
"$$\n",
"Note that $\\frac{\\partial V}{\\partial \\mathbf{p}} = \\mathbf{0}$.\n",
"\n",
"We chose the kinetic energy to be a Gaussian, which lets us calculate those gradients by hand instead of recalculating them. Specifically, \n",
"$$\n",
"K(\\mathbf{p}, \\mathbf{q}) = \\frac{1}{2}\\mathbf{p}^T M^{-1}\\mathbf{p} + \\log |M| + \\text{const.},\n",
"$$\n",
"and with our choice of $M = I$, \n",
"$$\n",
"K(\\mathbf{p}, \\mathbf{q}) = \\frac{1}{2}\\mathbf{p}^T \\mathbf{p} + \\text{const.},\n",
"$$\n",
"so \n",
"$$\n",
"\\frac{\\partial K}{\\partial \\mathbf{p}} = \\mathbf{p}\n",
"$$\n",
"and\n",
"$$\n",
"\\frac{\\partial K}{\\partial \\mathbf{q}} = \\mathbf{0}\n",
"$$\n",
"\n",
"We can then simplify Hamilton's equations to:\n",
"\n",
"$$\n",
"\\frac{d \\mathbf{q}}{dt} = \\mathbf{p} \\\\\n",
"\\frac{d \\mathbf{p}}{dt} = - \\frac{\\partial V}{\\partial \\mathbf{q}}\n",
"$$\n",
"\n",
"This is the algorithm, then:\n",
"- Sample a $\\mathbf{p} \\sim \\mathcal{N}(0, I)$,\n",
"- Simulate $\\mathbf{q}(t)$ and $\\mathbf{p}(t)$ for some amount of time $T$ using the simplified equations above\n",
"- $\\mathbf{q}(T)$ is our new sample. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hamiltonian Monte Carlo in code\n",
"\n",
"This is a small function. A few things to notice in particular:\n",
"\n",
"- We need to compute $\\frac{\\partial V}{\\partial \\mathbf{q}}$, and do so using autodiff. See [my previous post on autodiff libraries](https://colindcarroll.com/2019/04/06/exercises-in-automatic-differentiation-using-autograd-and-jax/). The `negative_log_prob` argument nust be defined using `autograd`.\n",
"- We still need to define the function `leapfrog`, which is below.\n",
"- There is a [Metropolis acceptance](https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm#Formal_derivation) dance at the bottom. This corrects for errors introduced by the `leapfrog` integrator. I had a bug in this implementation that was hard to spot: we are sampling from $\\pi(\\mathbf{q}, \\mathbf{p})$ here, not $\\pi(\\mathbf{q})$, so the momentum at the end of the trajectory needs to be returned by the leapfrog function, too.\n",
"\n",
"```python\n",
"from autograd import grad\n",
"import autograd.numpy as np\n",
"import scipy.stats as st\n",
"\n",
"\n",
"def hamiltonian_monte_carlo(n_samples, negative_log_prob, initial_position, path_len=1, step_size=0.5):\n",
" \"\"\"Run Hamiltonian Monte Carlo sampling.\n",
"\n",
" Parameters\n",
" ----------\n",
" n_samples : int\n",
" Number of samples to return\n",
" negative_log_prob : callable\n",
" The negative log probability to sample from\n",
" initial_position : np.array\n",
" A place to start sampling from.\n",
" path_len : float\n",
" How long each integration path is. Smaller is faster and more correlated.\n",
" step_size : float\n",
" How long each integration step is. Smaller is slower and more accurate.\n",
"\n",
" Returns\n",
" -------\n",
" np.array\n",
" Array of length `n_samples`.\n",
" \"\"\" \n",
" # autograd magic\n",
" dVdq = grad(negative_log_prob)\n",
"\n",
" # collect all our samples in a list\n",
" samples = [initial_position]\n",
"\n",
" # Keep a single object for momentum resampling\n",
" momentum = st.norm(0, 1)\n",
"\n",
" # If initial_position is a 10d vector and n_samples is 100, we want 100 x 10 momentum draws\n",
" # we can do this in one call to np.random.normal, and iterate over rows\n",
" size = (n_samples,) + initial_position.shape[:1]\n",
" for p0 in momentum.rvs(size=size):\n",
" # Integrate over our path to get a new position and momentum\n",
" q_new, p_new = leapfrog(\n",
" samples[-1],\n",
" p0,\n",
" dVdq,\n",
" path_len=path_len,\n",
" step_size=step_size,\n",
" )\n",
"\n",
" # Check Metropolis acceptance criterion\n",
" start_log_p = negative_log_prob(samples[-1]) - np.sum(momentum.logpdf(p0))\n",
" new_log_p = negative_log_prob(q_new) - np.sum(momentum.logpdf(p_new))\n",
" if np.log(np.random.rand()) < start_log_p - new_log_p:\n",
" samples.append(q_new)\n",
" else:\n",
" samples.append(np.copy(samples[-1]))\n",
"\n",
" return np.array(samples[1:])\n",
"\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Leapfrog Integrator\n",
"\n",
"How do we simulate the differential equations above? A natural is to discretize `t`, and go back and forth updating `q` and `p`. It turns out this causes errors to accumulate in systematic ways, but there is a nice algorithm to simulate Hamiltonian dynamics. It involves updating the momentum `p` a half step, then the position `q` a whole step, and then finish updating `p` the other half of the step. When you do this in a loop, most of the half-step updates combine, and you just have to do some book-keeping at either end. There is also a momentum flip at the end that is important for technical reasons.\n",
"\n",
"\n",
"```python\n",
"\n",
"def leapfrog(q, p, dVdq, path_len, step_size):\n",
" \"\"\"Leapfrog integrator for Hamiltonian Monte Carlo.\n",
"\n",
" Parameters\n",
" ----------\n",
" q : np.floatX\n",
" Initial position\n",
" p : np.floatX\n",
" Initial momentum\n",
" dVdq : callable\n",
" Gradient of the velocity\n",
" path_len : float\n",
" How long to integrate for\n",
" step_size : float\n",
" How long each integration step should be\n",
"\n",
" Returns\n",
" -------\n",
" q, p : np.floatX, np.floatX\n",
" New position and momentum\n",
" \"\"\"\n",
" q, p = np.copy(q), np.copy(p)\n",
"\n",
" p -= step_size * dVdq(q) / 2 # half step\n",
" for _ in range(int(path_len / step_size) - 1):\n",
" q += step_size * p # whole step\n",
" p -= step_size * dVdq(q) # whole step\n",
" q += step_size * p # whole step\n",
" p -= step_size * dVdq(q) / 2 # half step\n",
"\n",
" # momentum flip at end\n",
" return q, -p\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from autograd import grad\n",
"import autograd.numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Using code from https://github.com/ColCarroll/minimc/tree/e6948430447ec94240568540d42405a51d3aca26\n",
"from minimc.minimc_slow import leapfrog, hamiltonian_monte_carlo\n",
"from minimc import neg_log_mvnormal"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"plt.style.use('tufte')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def neg_log_p_to_img(neg_log_p, extent=None, num=100):\n",
" if extent is None:\n",
" extent = (-3, 3, -3, 3)\n",
" X, Y = np.meshgrid(np.linspace(*extent[:2], num), np.linspace(*extent[2:], num))\n",
" Z = np.array([np.exp(-neg_log_p(j)) for j in np.array((X.ravel(), Y.ravel())).T]).reshape(X.shape)\n",
" return Z, extent"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(1)\n",
"\n",
"neg_log_p = neg_log_mvnormal(np.zeros(2), np.eye(2))\n",
"dVdq = grad(neg_log_p)\n",
"\n",
"\n",
"positions, momentums = [], []\n",
"for _ in range(3):\n",
" q, p = np.random.randn(2, 2)\n",
" _, _, q, p = leapfrog(q, p, dVdq, 2 * np.pi, 0.01)\n",
" positions.append(q)\n",
" momentums.append(p)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1512x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=len(positions), figsize=(7 * len(positions), 7))\n",
"\n",
"\n",
"steps = slice(None, None, 40)\n",
"\n",
"Z, extent = neg_log_p_to_img(neg_log_p, (-3, 3, -3, 3), num=200)\n",
"\n",
"for idx, (ax, q, p) in enumerate(zip(axes.ravel(), positions, momentums)):\n",
" ax.imshow(Z, alpha=0.9, extent=extent, cmap='afmhot_r', origin='top')\n",
"\n",
" ax.quiver(q[steps, 0], q[steps, 1], p[steps, 0], p[steps, 1], headwidth=6, scale=60, headlength=7, alpha=0.8, color='C0')\n",
" ax.plot(q[:, 0], q[:, 1], '-', lw=3, color='C0')\n",
"plt.savefig('normal_leapfrog.png')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from minimc import mixture, neg_log_mvnormal\n",
"\n",
"np.random.seed(7)\n",
"\n",
"mu1 = np.ones(2)\n",
"cov1 = 0.5 * np.array([[1., 0.7],\n",
" [0.7, 1.]])\n",
"mu2 = -mu1\n",
"cov2 = 0.2 * np.array([[1., -0.6],\n",
" [-0.6, 1.]])\n",
"\n",
"mu3 = np.array([-1., 2.])\n",
"cov3 = 0.3 * np.eye(2)\n",
"\n",
"neg_log_p = mixture([neg_log_mvnormal(mu1, cov1), neg_log_mvnormal(mu2, cov2), neg_log_mvnormal(mu3, cov3)], [0.3, 0.3, 0.4])\n",
"dVdq = grad(neg_log_p)\n",
"\n",
"\n",
"positions, momentums = [], []\n",
"for _ in range(3):\n",
" q, p = np.random.randn(2, 2)\n",
" _, _, q, p = leapfrog(q, p, dVdq, 4 * np.pi, 0.01)\n",
" positions.append(q)\n",
" momentums.append(p)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1512x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=len(positions), figsize=(7 * len(positions), 7))\n",
"\n",
"\n",
"steps = slice(None, None, 40)\n",
"\n",
"Z, extent = neg_log_p_to_img(neg_log_p, (-3, 4, -3, 4), num=200)\n",
"\n",
"for idx, (ax, q, p) in enumerate(zip(axes.ravel(), positions, momentums)):\n",
" ax.imshow(Z, alpha=0.9, extent=extent, cmap='afmhot_r', origin='top')\n",
"\n",
" ax.quiver(q[steps, 0], q[steps, 1], p[steps, 0], p[steps, 1], headwidth=6, scale=60, headlength=7, alpha=0.8, color='C0')\n",
" ax.plot(q[:, 0], q[:, 1], '-', lw=3, color='C0')\n",
"plt.savefig('mixture_leapfrog.png')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10/10 [00:00<00:00, 28.08it/s]\n",
"100%|██████████| 10/10 [00:00<00:00, 18.20it/s]\n",
"100%|██████████| 10/10 [00:01<00:00, 8.76it/s]\n"
]
}
],
"source": [
"np.random.seed(4)\n",
"\n",
"neg_log_p = neg_log_mvnormal(np.zeros(2), np.eye(2))\n",
"ss, pp, mm, pl = [], [], [], [1, 2, 4]\n",
"for path_len in pl:\n",
" samples, positions, momentums, accepted = hamiltonian_monte_carlo(10, neg_log_p, np.random.randn(2), path_len=path_len, step_size=0.01)\n",
" ss.append(samples)\n",
" pp.append(positions)\n",
" mm.append(momentums)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1512x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=len(ss), figsize=(7 * len(ss), 7))\n",
"\n",
"Z, extent = neg_log_p_to_img(neg_log_p, (-3, 3, -3, 3), num=200)\n",
"steps = slice(None, None, 20)\n",
"\n",
"for ax, samples, positions, momentums, path_len in zip(axes.ravel(), ss, pp, mm, pl):\n",
" ax.imshow(Z, alpha=0.9, extent=extent, cmap='afmhot_r', origin='top')\n",
"\n",
" for q, p in zip(positions, momentums):\n",
" ax.quiver(q[steps, 0], q[steps, 1], p[steps, 0], p[steps, 1], headwidth=6, scale=60, headlength=7, alpha=0.8)\n",
" ax.plot(q[:, 0], q[:, 1], 'k-', lw=3)\n",
"\n",
" ax.plot(samples[:, 0], samples[:, 1], 'o', color='w', mfc='C1', ms=10)\n",
" ax.set_title(f'Path length of {path_len}')\n",
"plt.savefig('normal_hmc.png')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10/10 [00:01<00:00, 6.57it/s]\n",
"100%|██████████| 10/10 [00:02<00:00, 4.78it/s]\n",
"100%|██████████| 10/10 [00:04<00:00, 2.42it/s]\n"
]
}
],
"source": [
"np.random.seed(4)\n",
"\n",
"mu1 = np.ones(2)\n",
"cov1 = 0.5 * np.array([[1., 0.7],\n",
" [0.7, 1.]])\n",
"mu2 = -mu1\n",
"cov2 = 0.2 * np.array([[1., -0.6],\n",
" [-0.6, 1.]])\n",
"\n",
"mu3 = np.array([-1., 2.])\n",
"cov3 = 0.3 * np.eye(2)\n",
"\n",
"neg_log_p = mixture([neg_log_mvnormal(mu1, cov1), neg_log_mvnormal(mu2, cov2), neg_log_mvnormal(mu3, cov3)], [0.3, 0.3, 0.4])\n",
"\n",
"\n",
"ss, pp, mm, pl = [], [], [], [1, 2, 4]\n",
"for path_len in pl:\n",
" samples, positions, momentums, accepted = hamiltonian_monte_carlo(10, neg_log_p, np.random.randn(2), path_len=path_len, step_size=0.01)\n",
" ss.append(samples)\n",
" pp.append(positions)\n",
" mm.append(momentums)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1512x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=len(ss), figsize=(7 * len(ss), 7))\n",
"\n",
"Z, extent = neg_log_p_to_img(neg_log_p, (-3, 4, -3, 4), num=200)\n",
"steps = slice(None, None, 20)\n",
"\n",
"for ax, samples, positions, momentums, path_len in zip(axes.ravel(), ss, pp, mm, pl):\n",
" ax.imshow(Z, alpha=0.9, extent=extent, cmap='afmhot_r', origin='top')\n",
"\n",
" for q, p in zip(positions, momentums):\n",
" ax.quiver(q[steps, 0], q[steps, 1], p[steps, 0], p[steps, 1], headwidth=6, scale=60, headlength=7, alpha=0.8)\n",
" ax.plot(q[:, 0], q[:, 1], 'k-', lw=3)\n",
"\n",
" ax.plot(samples[:, 0], samples[:, 1], 'o', color='w', mfc='C1', ms=10)\n",
" ax.set_title(f'Path length of {path_len}')\n",
"plt.savefig('mixture_hmc.png')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"from minimc import neg_log_normal\n",
"\n",
"def neg_log_funnel():\n",
" scale = neg_log_normal(0, 1)\n",
" def neg_log_p(x):\n",
" funnel_dim = x.shape[0] - 1\n",
" if funnel_dim == 1:\n",
" funnel = neg_log_normal(0, np.exp(2 * x[0]))\n",
" else:\n",
" funnel = neg_log_mvnormal(np.zeros(funnel_dim), np.exp(2 * x[0]) * np.eye(funnel_dim))\n",
" return scale(x[0]) + funnel(x[1:])\n",
" return neg_log_p"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"from autograd import value_and_grad"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3.212624892569061, array([3.29105528, 0.02818537]))"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"value_and_grad(neg_log_p)(np.array([0., 2]))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(3)\n",
"neg_log_p = neg_log_funnel()\n",
"dVdq = grad(neg_log_p)\n",
"\n",
"\n",
"positions, momentums = [], []\n",
"for _ in range(3):\n",
" q, p = np.random.randn(2, 2)\n",
" _, _, q, p = leapfrog(q, p, dVdq, 4 * np.pi, 0.01)\n",
" positions.append(q)\n",
" momentums.append(p)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=len(positions), figsize=(4* len(positions), 7))\n",
"\n",
"\n",
"steps = slice(None, None, 40)\n",
"\n",
"Z, extent = neg_log_p_to_img(neg_log_p, (-2, 1, -3, 3), num=200)\n",
"\n",
"for idx, (ax, q, p) in enumerate(zip(axes.ravel(), positions, momentums)):\n",
" ax.imshow(Z, alpha=1, extent=extent, cmap='afmhot_r', origin='top')\n",
"\n",
" ax.quiver(q[steps, 0], q[steps, 1], p[steps, 0], p[steps, 1], headwidth=10, scale=10, headlength=7, alpha=0.8, color='C0')\n",
" ax.plot(q[:, 0], q[:, 1], '-', lw=3, color='C0')\n",
"plt.savefig('funnel_leapfrog.png')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
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