{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Threshold search procedures with asymmetric-cost evaluation functions \n", "\n", "## Rationale\n", "\n", "We wish to find the optimal iterative procedure to find an neuron's excitation threshold (i.e. stimulus intensity) for a specific stimulation protocol.\n", "\n", "At first glance, that problem looks well suited for a classic binary search procedure, with a few extra-requirements:\n", "- **efficient across a wide range of orders of magnitudes**: excitation thresholds can vary by several orders of magnitude depending on cell type and stimulus protocol. We need a method that can efficient find threshold for all these conditions\n", "- **guarantees bounded absolute and relative error**: the method must guarantee that computed thresholds are accurate across several orders of magnitude (i.e. relative accuracy), but also independently of the threshold value itself (i.e. absolute accuracy)\n", "- **avoids numerous supra-threshold evaluations**: in the context of neuron models, condition evaluation is performed by simulating the neural response to a stimulus at a particular intensity and checking for excitation. Such evaluations typically show an increase in computation time for active neural responses (i.e. for evaluations above the threshold). Hence, in order to reduce the overall computational cost of search procedures, we should minimize the number of supra-threshold evaluations.\n", "- **guarantees that the returned threshold satisfies the condition of excitation**: the search procedure can only approach the exact excitation threshold down to a given error margin. Hence, as the algorithm converges towards the target value, we need to make sure that it stops only if convergence is achieved AND the final value yields excitation. \n", "- **efficiently handles cases in which no threshold lies within the search interval**: in practice, we are often limited in the extent of the search interval we can provide. Hence, it is very possible that for some conditions, no excitation threshold exists within the predefined range. In such cases, we should (1) return an NaN value and (2) avoid numerous iterations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import logging\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from PySONIC.utils import logger\n", "from PySONIC.threshold import threshold\n", "\n", "logger.setLevel(logging.INFO)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evaluation function\n", "\n", "Let's design a function to assess the efficiency of a search procedure within a specific interval. It will run the search procedure for artificial evaluation functions with threshold values logarithmically space along the interval, and one additional out-of-bounds value on each side. For each target, the function will record:\n", "- the final computed threshold, along with the maximal evaluated value along the search procedure\n", "- the absolute and relative errors in the computed threshold\n", "- the number of function evaluations along the search procedure to reach convergence, along with the number of supra-threshold evaluations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound):\n", " ''' Evaluate the performance of the threshold finding function for a specific search interval,\n", " initial value, absolute and relative thresholds, and search criteria.\n", " ''' \n", " title = []\n", " if fbound is not None:\n", " title.append(f'bounding factor: {fbound}') \n", " if precheck:\n", " title.append('pre-check ON')\n", "\n", " # Create figure\n", " fig, axes = plt.subplots(4, 1, figsize=(8, 10))\n", " if len(title) > 0:\n", " axes[0].set_title(' - '.join(title))\n", " axes[-1].set_xlabel('target')\n", " axes[0].set_ylabel('value')\n", " axes[1].set_ylabel('abs. $\\epsilon$')\n", " axes[2].set_ylabel('rel. $\\epsilon$ (%)')\n", " axes[3].set_ylabel('# iterations')\n", " for i in [0, 1]:\n", " axes[i].set_yscale('log')\n", " axes[3].set_ylim(0, 50)\n", " for ax in axes:\n", " ax.set_xscale('log')\n", " ax.set_xlim(xref.min() / 2, xref.max() * 2)\n", " ax.axvline(xbounds[0], c='k', label='bounds')\n", " ax.axvline(xbounds[1], c='k')\n", " ax.axvline(x0, ls='--', c='k', label='initial value')\n", " if eps_thr is not None:\n", " axes[1].axhline(eps_thr, ls='--', c='g', label='absolute threshold')\n", " if rel_eps_thr is not None:\n", " axes[2].axhline(rel_eps_thr * 1e2, ls='--', c='g', label='relative threshold')\n", "\n", " # Run binary search for each random sample\n", " nx = len(xref)\n", " xout = np.zeros(nx)\n", " nit = np.zeros(nx)\n", " nit_supra = np.zeros(nx)\n", " xmax = np.zeros(nx)\n", " xnan = []\n", " for i, xr in enumerate(xref):\n", " x, is_above = threshold(\n", " lambda x: x >= xr, xbounds, x0=x0, eps_thr=eps_thr, rel_eps_thr=rel_eps_thr,\n", " precheck=precheck, fbound=fbound, output_history=True)\n", " if np.isnan(x[-1]):\n", " xnan.append(xr)\n", " xout[i] = x[-1] \n", " xmax[i] = np.nanmax(x)\n", " nit[i] = x.size\n", " nit_supra[i] = sum(x > xr)\n", "\n", " # Evaluate errors\n", " abs_err = np.abs(xout - xref)\n", " rel_err = abs_err / xref\n", "\n", " # Plot outputs\n", " axes[0].plot(xref, xout, label='final value')\n", " axes[0].plot(xref, xmax, label='max explored value')\n", " axes[1].plot(xref, abs_err)\n", " axes[2].plot(xref, rel_err * 1e2)\n", " axes[3].plot(xref, nit, label='overall')\n", " axes[3].plot(xref, nit_supra, label='supra-threshold')\n", "\n", " # Post-process figure\n", " axes[0].axhline(x[0], ls='--', c='k')\n", " for ax in axes:\n", " for i, xn in enumerate(xnan):\n", " ax.axvline(xn, ls='--', c='r', label='outliers' if i == 0 else None) \n", " box = ax.get_position()\n", " ax.set_position([box.x0, box.y0, box.width * 0.8, box.height])\n", " ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), frameon=False)\n", " for ax in axes[:-1]:\n", " ax.set_xticklabels([])\n", "\n", " return fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generic case-study\n", "\n", "Let's define some benchmark parameters:\n", "- a very wide search interval spanning several (10) orders of magnitude\n", "- a 1% relative error threshold\n", "- an absolute error threshold at the geometric mean of the bounds of the search interval" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "xbounds = (1e-5, 1e5) # initial search interval\n", "rel_eps_thr = 1e-2 # relative error threshold\n", "eps_thr = np.sqrt(xbounds[0] * xbounds[1]) # absolute error threshold\n", "\n", "# evaluation points\n", "xref = np.logspace(*np.log10(np.array(xbounds)), 10000) \n", "xref[0] /= 2\n", "xref[-1] *= 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Naive approach\n", "\n", "We'll start with a very naive approach: standard binary search procedure, progressively refining the search interval with evaluation starting at the middle point (i.e. arithmetic mean) of the interval bounds" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:48:49: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:48:50: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0 = np.mean(xbounds)\n", "precheck = False\n", "fbound = None\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make several observations:\n", "- the initial evaluation (arithmetic mean) falls quite high in the logarithmic scale of the search interval.\n", "- the maximal explored value is the initial value for most of the range, and can be quite high above the target value\n", "- the absolute error in computed threshold increases with the target value (as a result of the higher relative error threshold) until it reaches the absolute error threshold, at which points it flattens\n", "- the relative error in computed threshold follows a sawtooth profile with a of $2^n$ times the lower bound (staying below the specified threshold) until it the absolute error criterion, at which point it starts decreasing\n", "- the number of iterations is highest (up to 40+ iterations) for smallest thresholds (as a result of the high initial evaluation value being far away from the target), decreases for larger targets and then flattens (around 20-25 iterations) for larger target thresholds, once the absolute error criterion predominates. This global variation is modulated by short range fluctuations, that are caused by the need to return a value that satisfies the excitation condition.\n", "- overall, the number of supra-threshold evaluations is slightly smaller than the overall number of iterations (3-5 less). It is highest for the smallest targets, and decreases as the target value increases. Interestingly, it does not flatten for large targets, and thus becomes significantly smaller than the overall number of iterations.\n", "- a significant number of iterations is required to find outliers larger than the upper bound (about the same as for targets just below the upper bound). The situation is even worse for outliers smaller than the lower bound, requiring as many iterations as for the smallest targets in the interval, all of them being supra-threshold." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Objectives**:\n", "- decrease the max number of iterations (overall and supra-threshold)\n", "- decrease the the max explored value across the search interval\n", "- limit the number of iterations required to detect outliers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Refined initial value\n", "\n", "As a first step, we can set the initial evaluation at the geometric mean of the the bounds of the search interval, in order to decrease the max log2-distance across the search range. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:48:51: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:48:52: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0 = np.sqrt(xbounds[0] * xbounds[1])\n", "precheck = False\n", "fbound = None\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the considerable shift in the initial value (decrease by several orders of magnitude) splits the logarithmic space more evenly. This has several consequences:\n", "- the maximum log2-distance to a target (the smallest value) is reduced, which **decreases the maximum number of iterations across the whole search range** (both overall and supra-threshold). \n", "- the **maximum explored value is reduced** as a result of this more even split (geometric mean $q$ for targets $x \\leq q$, half the upper bound $ub$ for targets $q \\leq x \\leq ub / 2$, and a neighbor of the final value for targets $x \\geq ub/2$).\n", "- the paradigm introduces a **sharp transition in the number of required iterations** (overall and supra-threshold) as the target crosses the initial value. Such a discontinuity should be avoided. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-bounding\n", "\n", "Let's try another approach, so-called *pre-bounding*. Prior to starting the binary search, we perform another search in which the value is updated more drastically (multiplied or divided by a factor $f$, typically 2), until the upper bound effectively becomes $f$ times the lower bound. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arithmetic mean\n", "Let's first try with the naive, arithmetic mean as initial evaluation value:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:48:53: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:48:54: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0 = np.mean(xbounds)\n", "precheck = False\n", "fbound = 2\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the arithmetic mean as the initial value, the pre-bounding does not significantly improve the procedure's efficiency:\n", "- if anything, the max number of required iterations across the search range increases slightly\n", "- the number of required supra-threshold iterations stays similar\n", "- the maximum evaluated value is still way above the target in most cases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Geometric mean\n", "Let's now try with the geometric mean as initial evaluation value, and compare the efficiency of different bounding factors:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:48:54: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:48:55: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", " 02/12/2019 19:48:55: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", " 02/12/2019 19:48:56: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0 = np.sqrt(xbounds[0] * xbounds[1])\n", "precheck = False\n", "for fbound in [2, 3, 4]:\n", " fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the combined use of geometric mean and pre-bounding has several positive effects:\n", "- for targets below the geometric mean, the profiles of max evaluation value and number of iterations (both overall and supra-threshold) are very similar.\n", "- **for targets above the geometric mean**, the overall number of iterations starts increasing, however the **number of supra-threshold iterations stays fairly low**.\n", "- there is **no sharp transition in number of iterations** as the target crosses the geometric mean \n", "\n", "Moreover, different bounding factors seem to give similar results in terms of number of iterations: the initial search takes less iterations to converge with higher $f$, but then yields a larger interval for the second, standard binary search. Notably, smaller bounding factors yield smaller maximal evaluated values. \n", "\n", "Hence, **the combination of initial evaluation at the geometric mean and interval pre-bounding with a factor 2 seems to yield the most efficient threshold search procedure across a wide search range**, with:\n", "- a decreased max number of supra-threshold iterations\n", "- a decrease in the the max explored value across the search interval\n", "\n", "However, **it still takes a significant amount of iterations to detect outliers.**\n", "\n", "**Moreover, this technique fails to converge in the following cases:**\n", "- **if the lower bound of the search is set to zero.**\n", "- **if the initial value is less than $f$ times the lower bound and the threshold is somewhere in between**\n", "- **if the initial value is more than $f$ times the upper bound and the threshold is somewhere in between**\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-checking\n", "\n", "Let's add another check performed just after the initial evaluation, so-called *pre-checking*: the result of the first evaluation is used to perform another evaluation at the appropriate interval bound (lower bound if the first evaluation was positive, upper bound if it was negative). Cases in which this second evaluation matches the first one (i.e. lower bound also leading a positive evaluation or upper bound also leading a negative one) necessarily indicate that the target is out of bounds, hence an error is raised." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:48:59: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:49:00: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x0 = np.sqrt(xbounds[0] * xbounds[1])\n", "precheck = True\n", "fbound = 2\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the pre-checking step entails pros & cons: \n", "- drawbacks: it adds an extra evaluation for targets within the interval, and increases the maximal evaluated value for all targets above the initial evaluation value.\n", "- advantages: it decreases the number of evaluation to just 2 in order to find outliers. More importantly, only 1 supra-threshold evaluation is required for targets smaller than the lower bound (vs. 20+ without pre-checking)\n", "\n", "Hence, **pre-checking should be used for searches in which there is a significant probability of thresholds being outside the search interval.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Specific case-studies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### E-STIM simulations\n", "\n", "E-STIM simulations entail a few specificities:\n", "- thresholds can vary by several orders of magnitude from neuron to neuron, hence the initial search interval upper bound must be set quite high.\n", "- consequently, thresholds can be deemed accurate within relative error of 1%, while the absolute error does not matter much.\n", "- supra-threshold evaluations are not necessarily computationally expensive, but they can lead to nonsense results if applied several orders of magnitude too high. However, the probability of outliers is quite low. Hence, we use pre-bounding and an initial evaluation value at 1 mA/m2, without pre-checking, in order minimize the number of supra-threshold evaluations" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 02/12/2019 19:49:01: No threshold found within the [1.49e-08 - 1.00e+05] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xbounds = (0, 1e5) # initial search interval (mA/m2)\n", "rel_eps_thr = 1e-2 # relative error threshold\n", "eps_thr = None # no absolute error threshold\n", "precheck = False\n", "fbound = 2\n", "x0 = 1.0 # initial value (mA/m2)\n", "\n", "# evaluation points\n", "xref = np.logspace(*np.log10(np.array([(xbounds[1] - xbounds[0]) * 1e-3, xbounds[1]])), 10000) \n", "xref[0] /= 2\n", "xref[-1] *= 2\n", "\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A-STIM simulations\n", "\n", "A-STIM simulations entail a few specificities:\n", "- the search interval is always (0 - 600 kPa), hence we must adapt the algorithm to work with 0 as lower bound.\n", "- thresholds can be deemed accurate within an absolute error of 1 kPa, while the relative error does not matter much.\n", "- supra-threshold evaluations are very computationally expensive. Hence, we use pre-bounding in order minimize the number of supra-threshold evaluations.\n", "- the probability of outliers is quite high, hence , we use pre-checking to handle those efficiently.\n", "- the minimum threshold amplitude observed amongst different neuron types lies around 20-30 kPa. Hence, we use an initial evaluation value of 10 kPa in order to approach the threshold from below." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:25: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n", "Invalid limit will be ignored.\n", " 02/12/2019 19:49:02: No threshold found within the [5.00e-01 - 6.00e+02] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 02/12/2019 19:49:03: No threshold found within the [5.00e-01 - 6.00e+02] interval\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xbounds = (0, 600) # initial search interval (kPa)\n", "rel_eps_thr = 1.0 # relative error threshold\n", "eps_thr = 1e0 # absolute error threshold (kPa)\n", "precheck = True\n", "fbound = 2\n", "x0 = 10. # initial value (kPa)\n", "\n", "# evaluation points\n", "xref = np.logspace(*np.log10(np.array([(xbounds[1] - xbounds[0]) * 1e-3, xbounds[1]])), 10000) \n", "xref[0] -= 1\n", "xref[-1] += 1\n", "\n", "fig = evaluateThreshold(xref, xbounds, x0, eps_thr, rel_eps_thr, precheck, fbound)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusions\n", "\n", "We established a robust method to search for excitation thresholds across various neuron types and stimulation modalities. This procedure:\n", "- works efficiently over both linear and logarithmic spaces, spanning over small and large numbers of orders of magnitude, with or without zero in the interval bounds\n", "- avoids numerous supra-threshold evaluations associated with a high computational cost\n", "- assesses convergence thanks to absolute and / or relative criteria \n", "- can detect outliers very efficiently if needed (e.g. in ASTIM case)\n", "- always returns a value satisfying the excitation condition (e.g. slightly above the approached threshold)" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }