{ "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, isWithin\n", "from PySONIC.threshold import threshold\n", "from PySONIC.constants import *\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": [ " 29/04/2020 22:40:42: 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", " 29/04/2020 22:40:44: 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": [ " 29/04/2020 22:40:45: 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", " 29/04/2020 22:40:46: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": [ " 29/04/2020 22:40:47: 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", " 29/04/2020 22:40:49: No threshold found within the [1.00e-05 - 1.00e+05] interval\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": [ " 29/04/2020 22:40:50: 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", " 29/04/2020 22:40:51: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", " 29/04/2020 22:40:51: 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", " 29/04/2020 22:40:53: No threshold found within the [1.00e-05 - 1.00e+05] interval\n", " 29/04/2020 22:40:53: 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", " 29/04/2020 22:40:54: 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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\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": [ " 29/04/2020 22:40:56: 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", " 29/04/2020 22:40:58: 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": [ " 29/04/2020 22:41:00: 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", " 29/04/2020 22:41:01: No threshold found within the [5.00e-02 - 6.00e+02] interval\n", "C:\\Users\\lemaire\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:50: RuntimeWarning: invalid value encountered in greater\n", " 29/04/2020 22:41:03: No threshold found within the [5.00e-02 - 6.00e+02] interval\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xbounds = (0, 600) # initial search interval (kPa)\n", "x0 = ASTIM_AMP_INITIAL / 1e3 # initial value (kPa)\n", "rel_eps_thr = ASTIM_REL_CONV_THR # relative error threshold\n", "eps_thr = ASTIM_ABS_CONV_THR / 1e3 # absolute error threshold (kPa)\n", "precheck = True # precheck enabled\n", "fbound = 2 # standard bounding factor\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 }