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@huangziwei
Last active March 18, 2020 19:11
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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from rfest import splineLG, splineLNP"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# True RF: Gaussian"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def gaussian(dims, sigma):\n",
" \n",
" import numpy as onp\n",
" \n",
" if len(dims) == 1:\n",
" \n",
" x = dims[0]\n",
" mu = 0.5 * (x - 1)\n",
" xx = onp.arange(x)\n",
" \n",
" gaussian_filter = 1/(sigma*onp.sqrt(2*onp.pi))*onp.exp(-1*(xx-mu)**2/ (2*sigma**2) )\n",
" gaussian_filter = gaussian_filter.reshape(*dims, 1)\n",
" \n",
" else:\n",
" \n",
" if 1 < len(dims) < 3:\n",
" \n",
" x = dims[0]\n",
" y = dims[1]\n",
" \n",
" elif len(dims) > 2:\n",
" \n",
" y = dims[1]\n",
" x = dims[2]\n",
" \n",
" sigx = sigma[0]\n",
" sigy = sigma[1]\n",
" \n",
" xx, yy = onp.meshgrid(onp.arange(0, y), onp.arange(0, x))\n",
" mu = [0.5 * (y - 1), 0.5 * (x - 1)]\n",
" \n",
" gaussian_window = onp.exp(-0.5 * (((xx - mu[0]) / sigx)**2 + ((yy - mu[1]) / sigy)**2))\n",
" gaussian_filter = 0.5 * gaussian_window / (0.5 * onp.pi * (sigx + sigy) ** 2)\n",
" gaussian_filter = 0.25 * gaussian_filter / gaussian_filter.max()\n",
" gaussian_filter = gaussian_filter.T\n",
" \n",
" return gaussian_filter.T\n",
"\n",
"def gabor(dims, sigma, theta=np.pi/4, phi=np.pi/2, sf=1/3):\n",
" \n",
" import numpy as onp\n",
" \n",
" if len(dims) == 1:\n",
" \n",
" x = dims[0]\n",
" xx = onp.arange(x)\n",
" guassian_window = gaussian(dims, sigma)\n",
" sinusoidal_wave = onp.sin(2 * onp.pi * sf * xx - phi)\n",
" gabor_filter = guassian_window * sinusoidal_wave\n",
" gabor_filter = gabor_filter.reshape(*dims, 1)\n",
"\n",
" elif len(dims) > 1:\n",
" \n",
" x = dims[0]\n",
" y = dims[1]\n",
" \n",
" sigx = sigma[0]\n",
" sigy = sigma[1]\n",
" xx, yy = onp.meshgrid(onp.arange(0, x), onp.arange(0, y))\n",
" mu = [0.5 * (x - 1), 0.5 * (y - 1)]\n",
" \n",
" gaussian_window = gaussian(dims, sigma).T\n",
" sinusoidal_wave = onp.sin(2 * onp.pi * sf * yy - phi)\n",
" gabor_filter = (gaussian_window * sinusoidal_wave).T\n",
" \n",
" gabor_filter = gabor_filter / onp.sqrt(onp.sum(gabor_filter**2))\n",
" \n",
" return gabor_filter"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# white noise"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/jax/lib/xla_bridge.py:119: UserWarning: No GPU/TPU found, falling back to CPU.\n",
" warnings.warn('No GPU/TPU found, falling back to CPU.')\n"
]
}
],
"source": [
"dims = [45, 60]\n",
"k = gaussian(dims, [8, 8]).flatten()\n",
"n = np.prod(dims) * 5\n",
"X_white = np.random.randn(n, 45, 60).reshape(n, np.prod(dims))\n",
"y = X_white @ k + np.random.randn(X_white.shape[0])\n",
"\n",
"spl_white = splineLG(X_white, y, dims, df=20)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,3, figsize=(12,5))\n",
"ax = ax.flatten()\n",
"ax[0].imshow(k.reshape(dims))\n",
"ax[1].imshow(spl_white.w_sta.reshape(dims))\n",
"ax[2].imshow(spl_white.w_spl.reshape(dims))\n",
"\n",
"ax[0].set_title('True')\n",
"ax[1].set_title('STA')\n",
"ax[2].set_title('SPL')\n",
"\n",
"for i in range(3):\n",
" ax[i].axis('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# pink noise"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from colorednoise import powerlaw_psd_gaussian as colornoise"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dims = [45, 60]\n",
"n = np.prod(dims) * 5\n",
"X_pink = colornoise(1, [n, 45, 60]).reshape(n, np.prod(dims))\n",
"y = X_pink @ k + np.random.randn(X_pink.shape[0])\n",
"\n",
"spl_pink = splineLG(X_pink, y, dims, df=20)\n",
"fig, ax = plt.subplots(1,3, figsize=(12,5))\n",
"ax = ax.flatten()\n",
"ax[0].imshow(k.reshape(dims))\n",
"ax[1].imshow(spl_pink.w_sta.reshape(dims))\n",
"ax[2].imshow(spl_pink.w_spl.reshape(dims))\n",
"\n",
"\n",
"ax[0].set_title('True')\n",
"ax[1].set_title('STA')\n",
"ax[2].set_title('SPL')\n",
"\n",
"\n",
"for i in range(3):\n",
" ax[i].axis('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# brown noise"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dims = [45, 60]\n",
"n = np.prod(dims) * 5\n",
"X_brown = colornoise(2, [n, 45, 60]).reshape(n, np.prod(dims))\n",
"y = X_brown @ k + np.random.randn(X_brown.shape[0])\n",
"\n",
"X_brown = splineLG(X_brown, y, dims, df=20)\n",
"X_brown.fit(num_iters=1500, verbal=0, alpha=1, lambd=0.05)\n",
"fig, ax = plt.subplots(1,3, figsize=(12,5))\n",
"ax = ax.flatten()\n",
"ax[0].imshow(k.reshape(dims))\n",
"ax[1].imshow(X_brown.w_sta.reshape(dims))\n",
"ax[2].imshow(X_brown.w_spl.reshape(dims))\n",
"\n",
"\n",
"ax[0].set_title('True')\n",
"ax[1].set_title('STA')\n",
"ax[2].set_title('SPL')\n",
"\n",
"\n",
"for i in range(3):\n",
" ax[i].axis('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# natural image sequence"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"stimpath = 'path/to/stim'"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"import skvideo.io\n",
"stim = skvideo.io.vread(stimpath) "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"dims = [90, 160]\n",
"k = gaussian(dims, [10, 10]).flatten()\n",
"# k = gabor(dims, [10, 10], sf=1/24).flatten()\n",
"X_natimg = stim[:,:,:, 0].reshape(87114, np.prod(dims))\n",
"\n",
"y = X_natimg @ k + np.random.randn(X_natimg.shape[0])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"spl_natimg = splineLG(X_natimg, y, dims, df=15)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,3, figsize=(12,5))\n",
"ax = ax.flatten()\n",
"ax[0].imshow(k.reshape(dims))\n",
"ax[1].imshow(spl_natimg.w_sta.reshape(dims))\n",
"ax[2].imshow(spl_natimg.w_spl.reshape(dims))\n",
"\n",
"\n",
"ax[0].set_title('True')\n",
"ax[1].set_title('STA')\n",
"ax[2].set_title('SPL')\n",
"\n",
"\n",
"for i in range(3):\n",
" ax[i].axis('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# natural movie"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"stimpath_qiu = 'path/to/stim'\n",
"from skimage import io\n",
"stim = io.imread(stimpath_qiu)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"dims = stim.shape[1:3]\n",
"X_natmov = stim[:, :, :, 1].reshape(16200, np.prod(dims))\n",
"k = gaussian(dims, [10, 10]).flatten()\n",
"# k = gabor(dims, [10, 10], sf=1/24).flatten()\n",
"y = X_natmov @ k + np.random.randn(X_natmov.shape[0])\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"spl_natmov = splineLG(X_natmov, y, dims, df=21)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,3, figsize=(12,5))\n",
"ax = ax.flatten()\n",
"ax[0].imshow(k.reshape(dims))\n",
"ax[1].imshow(spl_natmov.w_sta.reshape(dims))\n",
"ax[2].imshow(spl_natmov.w_spl.reshape(dims))\n",
"\n",
"\n",
"ax[0].set_title('True')\n",
"ax[1].set_title('STA')\n",
"ax[2].set_title('SPL')\n",
"\n",
"\n",
"for i in range(3):\n",
" ax[i].axis('off')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.9"
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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