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mcm_cmu_2024.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"collapsed_sections": [
"3_hIk9RQaLVX",
"seKWqWCMabaj",
"tPq2Rgrna4sA",
"VkCHlKs8bgG7"
],
"authorship_tag": "ABX9TyPoTdvVcjoAxvu1n+1Mfrh9",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/stwind/ee163a12830a116bcc52b8b43addbe6c/mcm_cmu_2024.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"## Setup"
],
"metadata": {
"id": "_NzaXXedaJTc"
}
},
{
"cell_type": "markdown",
"source": [
"### Dependencies"
],
"metadata": {
"id": "3_hIk9RQaLVX"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "rMOtF5lwaH1F",
"outputId": "3a0bedd8-4445-42b3-bf36-84819fe2c22f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m52.8/52.8 kB\u001b[0m \u001b[31m71.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m62.1/62.1 kB\u001b[0m \u001b[31m63.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m16.4/16.4 MB\u001b[0m \u001b[31m33.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m8.7/8.7 MB\u001b[0m \u001b[31m44.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m7.0/7.0 MB\u001b[0m \u001b[31m40.5 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m35.0/35.0 MB\u001b[0m \u001b[31m62.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25h\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n",
"opencv-python 4.12.0.88 requires numpy<2.3.0,>=2; python_version >= \"3.9\", but you have numpy 2.4.1 which is incompatible.\n",
"opencv-python-headless 4.12.0.88 requires numpy<2.3.0,>=2; python_version >= \"3.9\", but you have numpy 2.4.1 which is incompatible.\n",
"tensorflow 2.19.0 requires numpy<2.2.0,>=1.26.0, but you have numpy 2.4.1 which is incompatible.\n",
"gradio 5.50.0 requires pillow<12.0,>=8.0, but you have pillow 12.1.0 which is incompatible.\n",
"opencv-contrib-python 4.12.0.88 requires numpy<2.3.0,>=2; python_version >= \"3.9\", but you have numpy 2.4.1 which is incompatible.\n",
"numba 0.60.0 requires numpy<2.1,>=1.22, but you have numpy 2.4.1 which is incompatible.\u001b[0m\u001b[31m\n",
"\u001b[0m"
]
}
],
"source": [
"!pip install --no-cache-dir -Uq numpy matplotlib pillow scipy einops ffmpeg-python"
]
},
{
"cell_type": "markdown",
"source": [
"### Commons"
],
"metadata": {
"id": "seKWqWCMabaj"
}
},
{
"cell_type": "code",
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"import os\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.font_manager as fm\n",
"import locale\n",
"from fastprogress import progress_bar\n",
"from einops import rearrange, reduce, repeat, einsum\n",
"\n",
"locale.getpreferredencoding = lambda: \"UTF-8\"\n",
"\n",
"COLORS = {\n",
" \"red\": np.array([0.79215686, 0.14901961, 0.14901961]),\n",
" \"blue\": np.array([0.08683021, 0.41940383, 0.71699529]),\n",
" **{f\"gray{k:02d}\": np.array([k,k,k])*.01 for k in np.arange(5,100,5)}\n",
"}\n",
"\n",
"def mpl_theme(gray=COLORS['gray50'], stroke_width=.1, fontsize=7,\n",
" facecolor=COLORS['gray10']):\n",
" ## category20: https://github.com/d3/d3-3.x-api-reference/blob/master/Ordinal-Scales.md#category20\n",
" cat20 = mpl.cycler(color=[\"1f77b4\",\"ff7f0e\",\"2ca02c\",\"d62728\",\"9467bd\",\"8c564b\",\"e377c2\",\"7f7f7f\",\"bcbd22\",\"17becf\",\n",
" \"aec7e8\",\"ffbb78\",\"98df8a\",\"ff9896\",\"c5b0d5\",\"c49c94\",\"f7b6d2\",\"c7c7c7\", \"dbdb8d\", \"9edae5\"])\n",
" return {\n",
" \"font.size\": fontsize,\n",
" \"font.family\": \"sans-serif\",\n",
" \"text.usetex\": False,\n",
" \"text.latex.preamble\": r\"\\usepackage{newpxtext,newpxmath}\",\n",
" \"text.color\": gray,\n",
" \"mathtext.fontset\": \"cm\",\n",
"\n",
" \"figure.dpi\": 100,\n",
" \"figure.facecolor\": facecolor,\n",
" \"figure.frameon\": False,\n",
" \"figure.figsize\": (5, 3),\n",
" \"figure.titlesize\": \"large\",\n",
" \"figure.titleweight\": \"bold\",\n",
" \"figure.constrained_layout.use\": True,\n",
" \"figure.constrained_layout.w_pad\": 0.05,\n",
" \"figure.constrained_layout.h_pad\": 0.05,\n",
" \"figure.constrained_layout.wspace\": 0.03,\n",
" \"figure.constrained_layout.hspace\": 0.03,\n",
"\n",
" \"axes.labelcolor\": gray,\n",
" \"axes.labelpad\": 8,\n",
" \"axes.labelsize\": \"medium\",\n",
" \"axes.labelweight\": \"normal\",\n",
" \"axes.spines.left\": False,\n",
" \"axes.spines.bottom\": False,\n",
" \"axes.spines.top\": False,\n",
" \"axes.spines.right\": False,\n",
" \"axes.facecolor\": facecolor,\n",
" \"axes.edgecolor\": gray,\n",
" \"axes.linewidth\": stroke_width,\n",
" \"axes.axisbelow\": True,\n",
" \"axes.xmargin\": 0.02,\n",
" \"axes.ymargin\": 0.02,\n",
" \"axes.zmargin\": 0.02,\n",
" \"axes.prop_cycle\": cat20,\n",
" \"axes.titlepad\": 8,\n",
" \"axes.titlesize\": \"medium\",\n",
" \"axes.titleweight\": 500,\n",
" \"axes.grid\": True,\n",
" \"axes.grid.axis\": \"both\",\n",
"\n",
" \"axes3d.grid\": False,\n",
" \"axes3d.xaxis.panecolor\": COLORS['gray15'],\n",
" \"axes3d.yaxis.panecolor\": COLORS['gray20'],\n",
" \"axes3d.zaxis.panecolor\": COLORS['gray25'],\n",
"\n",
" \"ytick.right\": False,\n",
" \"ytick.color\": gray,\n",
" \"ytick.major.width\": stroke_width,\n",
" \"ytick.major.size\": 0,\n",
" \"ytick.minor.left\": False,\n",
" \"ytick.labelsize\": \"small\",\n",
"\n",
" \"xtick.labelsize\": \"small\",\n",
" \"xtick.minor.visible\": True,\n",
" \"xtick.minor.top\": False,\n",
" \"xtick.minor.bottom\": False,\n",
" \"xtick.color\": gray,\n",
" \"xtick.major.width\": stroke_width,\n",
" \"xtick.major.size\": 0,\n",
"\n",
" \"grid.color\": gray,\n",
" \"grid.linewidth\": stroke_width,\n",
" \"grid.linestyle\": \"-\",\n",
" \"legend.fancybox\": False,\n",
" \"legend.edgecolor\": '0.3',\n",
" \"legend.framealpha\": 0.7,\n",
" \"legend.handletextpad\": 0.8,\n",
"\n",
" \"lines.linewidth\": 0.7\n",
" }\n",
"\n",
"def mpl_add_font(fname):\n",
" if fname not in [fe.fname for fe in fm.fontManager.ttflist]:\n",
" fm.fontManager.addfont(fname)\n",
"\n",
"def setup_overpass(folder=\"fonts\"):\n",
" os.makedirs(folder, exist_ok=True)\n",
" for style in [\"Regular\", \"Italic\", \"SemiBold\", \"SemiBoldItalic\", \"Bold\", \"BoldItalic\"]:\n",
" ttf = f\"Overpass-{style}.ttf\"\n",
" !wget -qc \"https://github.com/RedHatOfficial/Overpass/raw/master/fonts/ttf/{ttf}\" -O \"{folder}/{ttf}\"\n",
" mpl_add_font(f\"{folder}/{ttf}\")\n",
" if \"Overpass\" not in mpl.rcParams['font.sans-serif']:\n",
" mpl.rcParams['font.sans-serif'].insert(0, \"Quicksand\")\n",
"\n",
"def setup_quicksand(folder=\"fonts\"):\n",
" os.makedirs(folder, exist_ok=True)\n",
" for style in [\"Bold\", \"Light\", \"Medium\", \"Regular\"]:\n",
" ttf = f\"Quicksand-{style}.ttf\"\n",
" !wget -qc \"https://github.com/andrew-paglinawan/QuicksandFamily/raw/refs/heads/master/fonts/statics/{ttf}\" -O \"{folder}/{ttf}\"\n",
" mpl_add_font(f\"{folder}/{ttf}\")\n",
" if \"Quicksand\" not in mpl.rcParams['font.sans-serif']:\n",
" mpl.rcParams['font.sans-serif'].insert(0, \"Quicksand\")\n",
"\n",
"setup_quicksand()\n",
"\n",
"plt.style.use([\"dark_background\", mpl_theme()])\n",
"\n",
"if \"/usr/local/texlive/2025/bin/x86_64-linux\" not in os.environ[\"PATH\"]:\n",
" os.environ['PATH'] = f\"{os.environ['PATH']}:/usr/local/texlive/2025/bin/x86_64-linux\""
],
"metadata": {
"id": "3xZiOz89abIC"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"import math\n",
"import sys\n",
"import time\n",
"import io\n",
"import bz2\n",
"import ffmpeg\n",
"import requests\n",
"import subprocess\n",
"import cv2\n",
"import PIL\n",
"import IPython.display as ipd\n",
"import ipywidgets as widgets\n",
"from scipy import linalg\n",
"from fastprogress import progress_bar\n",
"from einops import rearrange, reduce, repeat\n",
"from base64 import b64encode\n",
"from zipfile import ZipFile\n",
"from contextlib import contextmanager\n",
"from matplotlib.patches import Circle\n",
"from mpl_toolkits.mplot3d.art3d import Line3DCollection, Poly3DCollection\n",
"from warnings import warn\n",
"\n",
"class Output(object):\n",
" def __init__(self):\n",
" self.out = widgets.Output()\n",
"\n",
" def display(self):\n",
" display(self.out)\n",
" return self\n",
"\n",
" def clear(self):\n",
" self.out.clear_output()\n",
" return self.out\n",
"\n",
" def close(self):\n",
" return self.out.close()\n",
"\n",
"def to_single_rgb(img):\n",
" img = np.asarray(img)\n",
" if len(img.shape) == 4: # take first frame from animations\n",
" return img[0,:,:,:]\n",
" if len(img.shape) == 2: # convert gray to rgb\n",
" return img[:,:,np.newaxis].repeat(3, 2)\n",
" if img.shape[-1] == 4: # drop alpha\n",
" return img[:,:,:3]\n",
" else:\n",
" return img\n",
"\n",
"def imread(url, size=None, mode=None):\n",
" if url.startswith(('http:', 'https:')):\n",
" resp = requests.get(url)\n",
" if resp.status_code != 200:\n",
" return None\n",
"\n",
" f = io.BytesIO(resp.content)\n",
" else:\n",
" f = url\n",
" img = PIL.Image.open(f)\n",
" if size is not None:\n",
" img.thumbnail((size, size), PIL.Image.Resampling.LANCZOS)\n",
" if mode is not None:\n",
" img = img.convert(mode)\n",
" return img\n",
"\n",
"def imshow(img, fmt='png', retina=True, zoom=None):\n",
" if isinstance(img, str):\n",
" display(ipd.Image(filename=img, retina=retina))\n",
" return\n",
"\n",
" if len(img.shape) == 3 and img.shape[-1] == 1:\n",
" img = img.squeeze()\n",
" if img.dtype == np.float32:\n",
" img = img * 255.0\n",
" img = np.uint8(img.clip(0, 255))\n",
" if fmt in ('jpeg', 'jpg'):\n",
" img = to_single_rgb(img)\n",
"\n",
" image = PIL.Image.fromarray(img)\n",
" height, width = img.shape[:2]\n",
" if zoom is not None:\n",
" width *= zoom\n",
" height *= zoom\n",
" retina = zoom == 1\n",
" if zoom < 1:\n",
" image.resize((int(width), int(height)))\n",
"\n",
" data = io.BytesIO()\n",
" image.save(data, fmt)\n",
" display(ipd.Image(data=data.getvalue(),width=width, height=height,retina=retina))\n",
"\n",
"def find_rectangle(n, ratio=1):\n",
" ny = int((n / ratio) ** .5)\n",
" return ny, math.ceil(n / ny)\n",
"\n",
"def make_mosaic(imgs, nx=None, ny=None, gap=0):\n",
" n, h, w = imgs.shape[:3]\n",
" has_channels = len(imgs.shape) > 3\n",
"\n",
" if nx is None and ny is None:\n",
" ny, nx = find_rectangle(n)\n",
" elif ny is None:\n",
" ny = math.ceil(n / nx)\n",
" elif nx is None:\n",
" nx = math.ceil(n / ny)\n",
"\n",
" sh, sw = h + gap, w + gap\n",
" shape = (ny * sh - gap, nx * sw - gap)\n",
" if has_channels:\n",
" shape += (imgs.shape[-1],)\n",
"\n",
" canvas = np.zeros(shape, dtype=imgs.dtype)\n",
" for i, x in enumerate(imgs):\n",
" iy, ix = divmod(i, nx)\n",
" canvas[iy * sh:iy * sh + h, ix * sw:ix * sw + w] = x\n",
" return canvas\n",
"\n",
"def ffprobe_video(path):\n",
" probe = ffmpeg.probe(path)\n",
" return next(s for s in probe['streams'] if s['codec_type'] == 'video')\n",
"\n",
"def read_frame(path, frame_no):\n",
" cap = cv2.VideoCapture(path)\n",
" cap.set(cv2.CAP_PROP_POS_FRAMES, frame_no)\n",
" ret, frame = cap.read()\n",
" if not ret:\n",
" raise RuntimeError(f\"Faild reading frame {frame_no} from {path}\")\n",
" return cv2.cvtColor(frame, cv2.COLOR_BGR2RGB)\n",
"\n",
"def read_frames(path, start=0, num=None):\n",
" cap = cv2.VideoCapture(path)\n",
" n_frames = num or int(cap.get(cv2.CAP_PROP_FRAME_COUNT))\n",
" cap.set(cv2.CAP_PROP_POS_FRAMES, start)\n",
" for i in range(n_frames):\n",
" ret, frame = cap.read()\n",
" if not ret:\n",
" raise RuntimeError(f\"Faild reading frame {i} from {path}\")\n",
" yield cv2.cvtColor(frame, cv2.COLOR_BGR2RGB)\n",
"\n",
"def read_video_frames(path):\n",
" info = ffprobe_video(path)\n",
" out, _ = ffmpeg.input(path).output('pipe:', format='rawvideo', pix_fmt='rgb24').run(capture_stdout=True)\n",
" return np.frombuffer(out, np.uint8).reshape([-1, info['height'], info['width'], 3])\n",
"\n",
"def show_video(path):\n",
" vcap = cv2.VideoCapture(path)\n",
" width = int(vcap.get(cv2.CAP_PROP_FRAME_WIDTH))\n",
" with open(path, \"r+b\") as f:\n",
" url = f\"data:video/mp4;base64,{b64encode(f.read()).decode()}\"\n",
" return ipd.HTML(f\"\"\"<video autoplay=\"autoplay\" width={width} controls loop><source src=\"{url}\"></video>\"\"\")\n",
"\n",
"def write_video(frames, size, path=\"__temp__.mp4\", fps=30,\n",
" preset=\"veryfast\", args=[]):\n",
" height, width = size\n",
" command = ['ffmpeg','-v','error','-f','rawvideo','-vcodec','rawvideo',\n",
" '-pix_fmt','rgb24','-s',f'{width}x{height}','-r', f'{fps}',\n",
" '-i', '-',\n",
" \"-movflags\", \"+faststart\", \"-preset\", preset,\n",
" \"-g\", \"30\", \"-bf\",\"2\",\"-c:v\", \"libx264\",\"-profile:v\", \"high\",\n",
" '-an', '-vcodec','h264','-pix_fmt','yuv420p', *args, '-y', path]\n",
" with subprocess.Popen(command, stdin=subprocess.PIPE, stderr=subprocess.PIPE) as proc:\n",
" with proc.stdin as stdin:\n",
" for image in frames:\n",
" data = image.tobytes()\n",
" if stdin.write(data) != len(data):\n",
" proc.wait()\n",
" stderr = proc.stderr\n",
" assert stderr is not None\n",
" s = stderr.read().decode()\n",
" raise RuntimeError(f\"Error writing '{path}': {s}\")\n",
" return path\n",
"\n",
"def read_video(path):\n",
" command = ['ffmpeg','-v','error','-nostdin','-i',path,'-vcodec','rawvideo',\n",
" '-f','image2pipe','-pix_fmt','rgb24','-vsync','vfr','-']\n",
"\n",
" info = ffprobe_video(path)\n",
" num_bytes = info['height'] * info['width'] * 3 * np.dtype(np.uint8).itemsize\n",
" with subprocess.Popen(command, stdout=subprocess.PIPE, stderr=subprocess.PIPE) as proc:\n",
" stdout = proc.stdout\n",
" assert stdout is not None\n",
" data = stdout.read(num_bytes)\n",
" while data is not None and len(data) == num_bytes:\n",
" image = np.frombuffer(data, dtype=np.uint8)\n",
" yield image.reshape(info['height'], info['width'], 3)\n",
" data = stdout.read(num_bytes)\n",
"\n",
"def sdiv(a, b, nan=0, posinf=0, neginf=0):\n",
" return np.nan_to_num(a / b, nan=nan, posinf=posinf, neginf=neginf)\n",
"\n",
"def topk(x, n):\n",
" return np.argpartition(x, -n)[-n:]\n",
"\n",
"def norm(x, a, b, **kw):\n",
" return sdiv(x - a, b - a, **kw)\n",
"\n",
"def norm_v(x, axis=None, **kw):\n",
" return norm(x, x.min(axis, keepdims=True), x.max(axis, keepdims=True), **kw)\n",
"\n",
"def normalize(x, keepdims=True, axis=-1, **kw):\n",
" return sdiv(x, np.linalg.norm(x, keepdims=keepdims, axis=axis), **kw)\n",
"\n",
"def nudge(x, v=0, eps=1e-12):\n",
" return np.where(np.isclose(np.abs(x), v, atol=eps), np.where(x - v >= 0, eps, -eps), x)\n",
"\n",
"def divide(a,b,nan=np.nan):\n",
" return np.divide(a, b, out=np.full_like(a, nan), where=b!=0)\n",
"\n",
"def sqrt(x):\n",
" return np.sqrt(x, out=np.full_like(x, np.nan), where=x >= 0)\n",
"\n",
"def linspace_m(start, stop, n):\n",
" return np.linspace(start, stop, n, endpoint=False) + (stop - start) * .5 / n\n",
"\n",
"def indices_m(dims, shape, dtype=\"u4\"):\n",
" return tuple(np.meshgrid(*[np.round(linspace_m(0, d, s)).astype(dtype)\n",
" for d, s in zip(dims, shape)],\n",
" indexing='ij'))\n",
"\n",
"def rot90(v, axis=-1):\n",
" return np.stack((-v.take(1,axis),v.take(0,axis)),axis)\n",
"\n",
"def rot2d(vs, rs, axis=-1):\n",
" c, s = np.cos(rs), np.sin(rs)\n",
" x, y = vs.take(0, axis), vs.take(1, axis)\n",
" return np.stack((x * c - y * s, x * s + y * c), axis)\n",
"\n",
"def atan2(x, axis=-1):\n",
" return np.atan2(x.take(1,axis), x.take(0,axis))\n",
"\n",
"def saturate(x):\n",
" return np.clip(x, 0, 1)\n",
"\n",
"def lerp(a, b, t):\n",
" return a * (1.0 - t) + b * t\n",
"\n",
"def cubic(x):\n",
" return x * x * (3 - 2 * x)\n",
"\n",
"def quintic(x):\n",
" return x * x * x * (x * (x * 6 - 15) + 10)\n",
"\n",
"def step(v, x):\n",
" return np.where(x < v, 0, 1)\n",
"\n",
"def window(x, a, b):\n",
" return step(a, x) * step(x, b)\n",
"\n",
"def satnorm(x, a, b):\n",
" return saturate(norm(x, a, b))\n",
"\n",
"def smoothstep(x):\n",
" return x * x * (3 - 2 * x)\n",
"\n",
"def smootherstep(x):\n",
" return x * x * x * (x * (x * 6 - 15) + 10)\n",
"\n",
"def dot(a, b, axis=-1, **kw):\n",
" return (a * b).sum(axis, **kw)\n",
"\n",
"def cross(a, b, axis=-1):\n",
" return a.take(0, axis) * b.take(1, axis) - a.take(1, axis) * b.take(0, axis)\n",
"\n",
"def interp_cubic(a, b, c, d, t):\n",
" \"\"\"https://www.desmos.com/calculator/waof4r6avv\"\"\"\n",
" s = 1. - t\n",
" return s * s * (s * a + 3 * t * b) + t * t * (3 * s * c + t * d)\n",
"\n",
"def interp(x, t):\n",
" r = np.searchsorted(x, t).clip(1, len(x) - 1)\n",
" return norm(x[r - 1], x[r], t), r - 1\n",
"\n",
"def plt_show(pin=mpl.rcParams['savefig.pad_inches']):\n",
" with plt.rc_context({'savefig.pad_inches': pin}):\n",
" plt.show()\n",
"\n",
"def fig_image(fig=None, transparent=False, bbox_inches=None,\n",
" dpi=mpl.rcParams[\"figure.dpi\"]*2):\n",
" fig = fig or plt.gcf()\n",
"\n",
" buf = io.BytesIO()\n",
" fig.savefig(buf, format=\"png\", pad_inches=0, bbox_inches=bbox_inches,\n",
" facecolor=fig.get_facecolor(), dpi=dpi,transparent=transparent)\n",
" buf.seek(0)\n",
" data = np.frombuffer(buf.getvalue(), dtype=np.uint8)\n",
" buf.close()\n",
" plt.close(fig)\n",
"\n",
" code = cv2.COLOR_BGRA2RGBA if transparent else cv2.COLOR_BGR2RGB\n",
" return cv2.cvtColor(cv2.imdecode(data, cv2.IMREAD_UNCHANGED), code)\n",
"\n",
"def plt_savefig(name, pad_inches=mpl.rcParams['savefig.pad_inches'],\n",
" bbox_inches=0,facecolor='auto',\n",
" dpi=mpl.rcParams[\"figure.dpi\"]*2,close=True,**kw):\n",
" plt.savefig(name,\n",
" pad_inches=pad_inches,\n",
" bbox_inches=bbox_inches,\n",
" facecolor=facecolor,\n",
" dpi=dpi,**kw)\n",
" if close:\n",
" plt.close()\n",
"\n",
"class Flex(object):\n",
" def __init__(self, ratios, gap, size=None):\n",
" n, s = len(ratios), sum(ratios)\n",
" self.ratios = ratios\n",
" self.gap = gap\n",
" space = gap * n / s if size is None else gap * n / (size - gap * (n - 1))\n",
" self.h = dict(nrows=1, ncols=n, width_ratios=ratios, wspace=space)\n",
" self.v = dict(nrows=n, ncols=1, height_ratios=ratios, hspace=space)\n",
" self.size = s + gap * (n - 1) if size is None else size\n",
"\n",
"def ax_lim(mn, mx, ax=None):\n",
" ax = ax or plt.gca()\n",
" ax.set_xlim(mn[0], mx[0])\n",
" ax.set_ylim(mn[1], mx[1])\n",
" if len(mn) > 2:\n",
" ax.set_zlim(mn[2], mx[2])\n",
"\n",
"def ax_spines(sides=[\"left\",\"right\",\"bottom\",\"top\"], ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.spines[sides].set(**kw)\n",
"\n",
"def ax_lines(lines, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.add_collection(mpl.collections.LineCollection(lines,**kw))\n",
"\n",
"def ax_text(p, text, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.text(p[0],p[1],text,**kw)\n",
"\n",
"def ax_line3d(lines, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" return ax.add_collection(Line3DCollection(lines, **kw))\n",
"\n",
"def ax_poly3d(verts, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" return ax.add_collection(Poly3DCollection(verts, **kw))\n",
"\n",
"def ax_trisurf(v, f, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.plot_trisurf(v[:,0],v[:,1],v[:,2],triangles=f, **kw)\n",
"\n",
"def ax_box2(mn, mx, ax=None):\n",
" ax = ax or plt.gca()\n",
" ax.set(xlim=(mn[0],mx[0]),ylim=(mn[1],mx[1]),aspect='equal')\n",
"\n",
"def ax_box3(mn, mx, ax=None):\n",
" ax = ax or plt.gca()\n",
" ax.set(xlim=(mn[0],mx[0]),ylim=(mn[1],mx[1]),zlim=(mn[2],mx[2]),box_aspect=mx-mn)\n",
"\n",
"def ax_axis_lines(ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.xaxis.line.set(**kw)\n",
" ax.yaxis.line.set(**kw)\n",
" ax.zaxis.line.set(**kw)\n",
"\n",
"def ax_scatter(pts, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" return ax.scatter(*[pts[...,i] for i in range(pts.shape[-1])], **kw)\n",
"\n",
"def ax_swatch(cols, size=32, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" ax.imshow(repeat(cols, \"n ...->h (n w) ...\",h=size,w=size), **kw)\n",
"\n",
"def ax_texts(pts, texts, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" for p, t in zip(pts, texts):\n",
" ax.text(p[0], p[1], t, **kw)\n",
"\n",
"def ax_circle(c, r, ax=None, **kw):\n",
" ax = ax or plt.gca()\n",
" return ax.add_patch(Circle(c, r, **kw))\n",
"\n",
"def lowess(x, y, f=2. / 3., iter=3):\n",
" \"\"\"https://gist.github.com/agramfort/850437\n",
" lowess(x, y, f=2./3., iter=3) -> yest\n",
" Lowess smoother: Robust locally weighted regression.\n",
" The lowess function fits a nonparametric regression curve to a scatterplot.\n",
" The arrays x and y contain an equal number of elements; each pair\n",
" (x[i], y[i]) defines a data point in the scatterplot. The function returns\n",
" the estimated (smooth) values of y.\n",
" The smoothing span is given by f. A larger value for f will result in a\n",
" smoother curve. The number of robustifying iterations is given by iter. The\n",
" function will run faster with a smaller number of iterations.\n",
" \"\"\"\n",
" n = len(x)\n",
" r = int(math.ceil(f * n))\n",
" h = [np.sort(np.abs(x - x[i]))[r] for i in range(n)]\n",
" w = np.clip(np.abs((x[:, None] - x[None, :]) / h), 0.0, 1.0)\n",
" w = (1 - w ** 3) ** 3\n",
" yest = np.zeros(n)\n",
" delta = np.ones(n)\n",
" for iteration in range(iter):\n",
" for i in range(n):\n",
" weights = delta * w[:, i]\n",
" b = np.array([np.sum(weights * y), np.sum(weights * y * x)])\n",
" A = np.array([[np.sum(weights), np.sum(weights * x)],\n",
" [np.sum(weights * x), np.sum(weights * x * x)]])\n",
" beta = linalg.solve(A, b)\n",
" yest[i] = beta[0] + beta[1] * x[i]\n",
"\n",
" residuals = y - yest\n",
" s = np.median(np.abs(residuals))\n",
" delta = np.clip(residuals / (6.0 * s), -1, 1)\n",
" delta = (1 - delta ** 2) ** 2\n",
"\n",
" return yest\n",
"\n",
"def plot_metrics(metrics, groups=None, title=\"Metrics\", lowess=False):\n",
" groups = groups or [list(metrics.keys())]\n",
" n = len(groups)\n",
" ny = math.ceil(n / 2)\n",
" fig = plt.figure(figsize=(8 if n > 1 else 4, 2 * ny))\n",
"\n",
" for i, group in enumerate(groups, 1):\n",
" ax = fig.add_subplot(ny, 2 if n > 1 else 1, i)\n",
" for k in group:\n",
" x, y = np.arange(len(metrics[k])), metrics[k]\n",
" alpha = max(0.3, min(1, (1000 - len(x)) / 1000))\n",
" ax.plot(x, y, alpha=alpha, label=k, marker='.', markeredgewidth=0,lw=.5,ms=5)\n",
" if np.any(np.min(y) - y[0] > (np.max(y) - np.min(y)) * 0.01):\n",
" ax.set_ylim(np.min(y), y[0])\n",
" if lowess and len(y) >= 9:\n",
" ax.plot(x, lowess(x, y, f=0.25, iter=3), linestyle='-', alpha=0.8, label=k + \".lowess\", lw=2)\n",
" ax.legend(loc='lower left')\n",
" ax.grid(axis='x')\n",
"\n",
" fig.suptitle(title)\n",
" plt.show()\n",
"\n",
"def sph2cart(sph):\n",
" az, el, r = rearrange(sph, \"... d -> d ...\")\n",
" c = np.cos(el)\n",
" return rearrange(np.stack((c * np.cos(az), c * np.sin(az), np.sin(el)) * r), \"d ... -> ... d\")\n",
"\n",
"def cart2sph(cart, axis=-1):\n",
" x, y, z = cart.take(0,axis), cart.take(1,axis), cart.take(2,axis)\n",
" az, el = np.arctan2(y, x), np.arctan2(z, np.hypot(x, y))\n",
" r = np.sqrt(x ** 2 + y ** 2 + z ** 2)\n",
" return np.stack((az, el, r), axis)\n",
"\n",
"def iter_batch(xs, bs, drop_last=True):\n",
" n = len(xs) // bs\n",
" for i in range(n):\n",
" yield xs[i*bs:(i+1)*bs]\n",
" if not drop_last:\n",
" yield xs[n*bs:]\n",
"\n",
"def unpack_bz2(src_path):\n",
" data = bz2.BZ2File(src_path).read()\n",
" dst_path = src_path[:-4]\n",
" with open(dst_path, 'wb') as fp:\n",
" fp.write(data)\n",
" return dst_path\n",
"\n",
"def make_zip(files, target, filename=os.path.basename):\n",
" with ZipFile(target, 'w') as f:\n",
" for p in files:\n",
" f.write(p, filename(p))\n",
" return target\n",
"\n",
"class ProgressBar():\n",
" update_every,first_its,lt = 0.2,5,'<'\n",
"\n",
" @classmethod\n",
" def fmt_time(cls,t):\n",
" t = int(t)\n",
" h,m,s = t//3600, (t//60)%60, t%60\n",
" return f'{h}:{m:02d}:{s:02d}' if h!=0 else f'{m:02d}:{s:02d}'\n",
"\n",
" def __init__(self, gen, total=None, display=True, leave=True, comment=''):\n",
" self.gen,self.comment = gen,comment\n",
" self.total = None if total=='noinfer' else len(gen) if total is None else total\n",
" self.leave,self.display = leave,display\n",
" self.last_v = None\n",
"\n",
" def __iter__(self):\n",
" if self.total != 0: self.update(0)\n",
" try:\n",
" for i,o in enumerate(self.gen):\n",
" if self.total and i >= self.total: break\n",
" yield o\n",
" self.update(i+1)\n",
" if self.total is None and self.last_v is not None:\n",
" self.total = i+1\n",
" self.update(self.total)\n",
" except Exception as e:\n",
" self.on_interrupt()\n",
" raise e\n",
"\n",
" def update(self, val):\n",
" if self.last_v is None:\n",
" self.on_iter_begin()\n",
" self.last_v = 0\n",
" if val == 0:\n",
" self.start_t = self.last_t = time.time()\n",
" self.pred_t,self.last_v,self.wait_for = None,0,1\n",
" self.update_bar(0)\n",
" elif val <= self.first_its or val >= self.last_v + self.wait_for or (self.total and val >= self.total):\n",
" cur_t = time.time()\n",
" avg_t = (cur_t - self.start_t) / val\n",
" self.wait_for = max(int(self.update_every / (avg_t+1e-8)),1)\n",
" self.pred_t = None if self.total is None else avg_t * self.total\n",
" self.last_v,self.last_t = val,cur_t\n",
" self.update_bar(val)\n",
" if self.total is not None and val >= self.total:\n",
" self.on_iter_end()\n",
" self.last_v = None\n",
"\n",
" def update_bar(self, val):\n",
" if self.total == 0:\n",
" warn(\"Your generator is empty.\")\n",
" return self.on_update(0, '100% [0/0]')\n",
" pct = '' if self.total is None else f'{100 * val/self.total:.2f}% '\n",
" tot = '?' if self.total is None else str(self.total)\n",
" elapsed_t = self.last_t - self.start_t\n",
" remaining_t = '?' if self.pred_t is None else self.fmt_time(self.pred_t - elapsed_t)\n",
" elapsed_t = self.fmt_time(elapsed_t)\n",
" end = '' if len(self.comment) == 0 else f' {self.comment}'\n",
" self.on_update(val, f'{pct}[{val}/{tot} {elapsed_t}{self.lt}{remaining_t}{end}]')\n",
"\n",
" def on_iter_begin(self): pass\n",
" def on_interrupt(self): pass\n",
" def on_iter_end(self): pass\n",
" def on_update(self, val, text): pass\n",
"\n",
"class HTMLProgressBar(ProgressBar):\n",
" lt = '&lt;'\n",
" @classmethod\n",
" def html(cls,value, total, label, interrupted=False):\n",
" bar_style = 'progress-bar-interrupted' if interrupted else ''\n",
" val = '' if total is None else f\"value='{value}'\"\n",
" return f\"\"\"\n",
" <progress {val} class='{bar_style}' max='{total}' style='width:300px; height:1rem; vertical-align: middle;'></progress>\n",
" <span style='vertical-align:middle'>{label}</span>\n",
" \"\"\"\n",
"\n",
" def on_iter_begin(self):\n",
" super().on_iter_begin()\n",
" self.progress = self.html(0, self.total, \"\")\n",
" if self.display:\n",
" display(ipd.HTML(\"\"\"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" border: none;\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" .jp-RenderedHTMLCommon {\n",
" --jp-content-line-height: 0;\n",
" overflow: hidden;\n",
" &> :last-child { margin-bottom: 0; }\n",
" }\n",
"</style>\n",
"\"\"\"))\n",
" self.out = display(ipd.HTML(self.progress), display_id=True)\n",
" self.is_active=True\n",
"\n",
" def on_interrupt(self):\n",
" self.on_update(0, 'Interrupted', interrupted=True)\n",
" super().on_interrupt()\n",
" self.on_iter_end()\n",
"\n",
" def on_iter_end(self):\n",
" if not self.leave and self.display: self.out.update(ipd.HTML(''))\n",
" self.is_active=False\n",
" super().on_iter_end()\n",
"\n",
" def on_update(self, val, text, interrupted=False):\n",
" self.progress = self.html(val, self.total, text, interrupted)\n",
" if self.display: self.out.update(ipd.HTML(self.progress))"
],
"metadata": {
"id": "cUp-crYRadPG"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"## [Assignment 2](https://www.math.cmu.edu/~gautam/c/2024-387/hw/hw2.html)"
],
"metadata": {
"id": "tPq2Rgrna4sA"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 2"
],
"metadata": {
"id": "4hgBmB6PbC8Q"
}
},
{
"cell_type": "code",
"source": [
"from scipy.stats import truncnorm\n",
"\n",
"def truncnorm_rv(la,lb,loc=0,scale=1):\n",
" a, b = (la - loc) / scale, (lb - loc) / scale\n",
" return truncnorm(a,b,loc=loc,scale=scale)\n",
"\n",
"def truncnorm_rvs(la,lb,loc=0,scale=1,**kw):\n",
" a, b = (la - loc) / scale, (lb - loc) / scale\n",
" return truncnorm.rvs(a,b,loc=loc,scale=scale,**kw)"
],
"metadata": {
"id": "BexTUzQiazfw"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"a, b = -1,1\n",
"\n",
"q = truncnorm_rv(a,b,scale=.1)\n",
"p = truncnorm_rv(a,b,scale=.3)\n",
"\n",
"x0 = np.linspace(a,b,256)\n",
"\n",
"M = (q.pdf(x0)/p.pdf(x0)).max()"
],
"metadata": {
"id": "AoU7tiDXbE-N"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"x = truncnorm_rvs(a,b,scale=.3,size=1000)\n",
"u = np.random.uniform(size=1000)\n",
"\n",
"px, qx = p.pdf(x), q.pdf(x)\n",
"y = u * M * px\n",
"idx = y <= qx"
],
"metadata": {
"id": "RF6UCwxWbJOg"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"x0 = np.linspace(a,b,256)\n",
"\n",
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot()\n",
"ax.plot(x0,q.pdf(x0),label=r\"$q$\",lw=.5)\n",
"ax.plot(x0,M*p.pdf(x0),label=r\"$Mp$\",lw=.5)\n",
"ax.scatter(x[~idx],y[~idx],s=.5,c=\"tab:red\")\n",
"ax.scatter(x[idx],y[idx],s=.5,c=\"tab:blue\")\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "4LUpBWR4bKs6",
"outputId": "4a7b91c6-ec29-45af-9a71-c6cb293b324d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "markdown",
"source": [
"### Question 3"
],
"metadata": {
"id": "qKDXlLe3bP6e"
}
},
{
"cell_type": "code",
"source": [
"from scipy.stats import norm\n",
"from scipy.interpolate import UnivariateSpline\n",
"\n",
"def box_muller(n):\n",
" u = np.random.uniform(size=(2,n))\n",
" r, theta = np.sqrt(-2*np.log(u[0])), u[1] * 2 * np.pi\n",
" return r * np.cos(theta), r * np.sin(theta)"
],
"metadata": {
"id": "_cfs6eD-bPJY"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"n = 10000\n",
"\n",
"z1, _ = box_muller(n)\n",
"x, y = np.sort(z1), np.linspace(0,1,n)"
],
"metadata": {
"id": "C0jhinoIbU7s"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"idx = np.random.permutation(n)[:20]\n",
"\n",
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot()\n",
"ax.plot(x[idx],y[idx],'.',label=\"data\")\n",
"ax.plot(x,norm.cdf(x),'--',lw=1,c='tab:orange',label=\"actual\")\n",
"ax.plot(x,y,lw=.5,c='tab:green',label=\"computed\")\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "0wmy7OtWbVJj",
"outputId": "515dd34f-f4a2-49a1-c50c-2c13ecb20646"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "code",
"source": [
"t = np.linspace(x.min(), x.max(), 1000)\n",
"\n",
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot()\n",
"ax.plot(t, UnivariateSpline(x, y, s=0.01).derivative()(t),lw=.5,label=r\"$s=0.01$\")\n",
"ax.plot(t, UnivariateSpline(x, y, s=0.05).derivative()(t),lw=.5,label=r\"$s=0.05$\")\n",
"ax.plot(t, norm.pdf(t),'--',lw=.5,label=\"actual\")\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "x3OSAeWRbWHd",
"outputId": "065be106-f86d-4f57-ef65-8ed8c189ed88"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "code",
"source": [
"def pdf_hist(x):\n",
" cnts, edges = np.histogram(x,\"auto\",density=True)\n",
" mid = (edges[:-1] + edges[1:]) *.5\n",
" return mid, cnts\n",
"\n",
"mid, cnts = pdf_hist(x)"
],
"metadata": {
"id": "Ui1DEG2QbZI1"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot()\n",
"ax.plot(t,UnivariateSpline(mid,cnts,s=.001)(t),lw=.5,label=r\"$s=0.001$\")\n",
"ax.plot(t,UnivariateSpline(mid,cnts,s=.01)(t),lw=.5,label=r\"$s=0.01$\")\n",
"ax.plot(mid,cnts,'.',ms=2,c=\"gainsboro\")\n",
"ax.plot(t, norm.pdf(t),'--',lw=.5,label=\"actual\")\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "JClo9KZ2ba2N",
"outputId": "7d45d72b-e276-4983-bd38-fa119351bf37"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "markdown",
"source": [
"## [Assignment 3](https://www.math.cmu.edu/~gautam/c/2024-387/hw/hw3.html)"
],
"metadata": {
"id": "VkCHlKs8bgG7"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 4"
],
"metadata": {
"id": "ZgaqU2FKbngH"
}
},
{
"cell_type": "code",
"source": [
"import networkx as nx\n",
"\n",
"rng = np.random.default_rng()"
],
"metadata": {
"id": "SESxZCsrbbj1"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"N1, N2 = (10, 10)\n",
"\n",
"G = nx.grid_2d_graph( N1, N2 )\n",
"pos = {(x,y):(y,-x) for x,y in G.nodes()}\n",
"\n",
"n_reals = 1000\n",
"\n",
"x0 = rng.choice( [-1, 1], size=(N1, N2, n_reals) )\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot()\n",
"nx.draw( G, pos=pos, node_color=x0[:, :, 0],ax=ax)\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "gYFwbVY_bpnG",
"outputId": "9b7c782d-3c2e-4066-bb6b-96686e78faad"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "code",
"source": [
"def H(x0,beta):\n",
" x0p = np.pad(x0,[(1,1),(1,1)] + [(0,0) for _ in range(x0.ndim-2)])\n",
" xl, xr = x0p[1:-1,:-2], x0p[1:-1,2:]\n",
" xu, xb = x0p[:-2,1:-1], x0p[2:,1:-1]\n",
" return beta * (x0*(xl+xr+xu+xb)).sum((0,1))\n",
"\n",
"def mcmc(x0,beta):\n",
" y = x0.copy()\n",
" i, j = rng.integers(0,x0.shape[0]), rng.integers(0,x0.shape[1])\n",
" y[i,j,np.arange(n_reals)] *= -1\n",
"\n",
" hx, hy = H(x0,beta), H(y,beta)\n",
" A = np.exp(hy - hx).clip(0,1)\n",
" u = rng.uniform(size=A.shape)\n",
" return np.where(np.expand_dims(u<=A,(0,1)),y,x0)\n",
"\n",
"def log_mu_u(x,beta):\n",
" return H(x,beta)"
],
"metadata": {
"id": "MH33EjXUbq8s"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"beta = 1\n",
"\n",
"y = x0.copy()\n",
"lmu = [log_mu_u(y, beta)]\n",
"\n",
"iters_per_step = 10\n",
"for _ in HTMLProgressBar(range(500)):\n",
" for _ in range(iters_per_step):\n",
" y = mcmc(y, beta)\n",
" lmu.append(log_mu_u(y, beta))\n",
"\n",
"lmu = np.array(lmu)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 36
},
"id": "n1PKD7VbbsCe",
"outputId": "b32523fc-b616-46b8-d158-2f12bd0f780a"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<IPython.core.display.HTML object>"
],
"text/html": [
"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" border: none;\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" .jp-RenderedHTMLCommon {\n",
" --jp-content-line-height: 0;\n",
" overflow: hidden;\n",
" &> :last-child { margin-bottom: 0; }\n",
" }\n",
"</style>\n"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<IPython.core.display.HTML object>"
],
"text/html": [
"\n",
" <progress value='500' class='' max='500' style='width:300px; height:1rem; vertical-align: middle;'></progress>\n",
" <span style='vertical-align:middle'>100.00% [500/500 00:11&lt;00:00]</span>\n",
" "
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"iters = np.arange(lmu.shape[0])*iters_per_step\n",
"\n",
"fig = plt.figure()\n",
"\n",
"ax = fig.add_subplot()\n",
"\n",
"mu = lmu.mean(axis=-1)\n",
"ax.plot( iters, mu, label=r'$E\\log(\\pi_u)$' )\n",
"\n",
"sigma = lmu.std( axis=-1 )\n",
"plt.fill_between(iters, mu - sigma, mu + sigma, alpha=.3, label=r'$\\sigma$' )\n",
"\n",
"for n in sorted(rng.integers(n_reals, size=3)):\n",
" ax.plot(iters, lmu[:, n], label=f'Trial {n}', alpha=.7)\n",
"\n",
"plt.hlines(log_mu_u(np.ones((N1,N2)),beta),\n",
" iters[0],iters[-1],ls='--', label=r'$\\max(\\log\\pi_u)$', alpha=.5 )\n",
"\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 326
},
"id": "DA602XLTbs8P",
"outputId": "4f8a45a3-a2ec-444b-ff6b-0a53c58351ac"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "code",
"source": [
"def M(y:np.ndarray):\n",
" \"\"\"Average magnetization\"\"\"\n",
" return y.mean( axis=(0,1) )\n",
"\n",
"iters_per_step = 100\n",
"ββ = np.logspace( -2, 0, num=7 )\n",
"mag = np.empty( (100, len(ββ) ) )\n",
"\n",
"for i, β in HTMLProgressBar(enumerate( ββ), total=len(ββ) ):\n",
" y = x0.copy()\n",
" mag[0, i] = abs( M(y) ).mean()\n",
" for t in HTMLProgressBar(range(1, mag.shape[0]),leave=False):\n",
" for _ in range(iters_per_step):\n",
" y = mcmc( y, β )\n",
" mag[t, i] = abs( M(y) ).mean()\n",
"\n",
"tt = np.arange( mag.shape[0] ) * iters_per_step\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot()\n",
"for i, β in enumerate( ββ ):\n",
" ax.plot( tt, mag[:, i], label=fr'$\\beta={β:.2f}$' )\n",
"\n",
"ax.set_ylabel('Expected magnetization strength')\n",
"ax.set_xlabel('# MCMC iterations')\n",
"ax.legend()\n",
"\n",
"plt.show()"
],
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},
"execution_count": null,
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\n"
},
"metadata": {
"image/png": {
"width": 509,
"height": 309
}
}
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "_KUcWwhebyPP"
},
"execution_count": null,
"outputs": []
}
]
}
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