{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Peak fitting with LMfit\n",
    "Charles Le Losq, Geophysical Laboratory, Carnegie Institution for Science. 7 April 2015. Updated 2025\n",
    "\n",
    "This IPython notebook is aimed to show how you can easily fit a Raman spectrum with Python tools, for free and, in my opinion, in an elegant way.\n",
    "\n",
    "This fitting procedure is much less \"black-box\" than existing GUI softwares. It probably is a little bit harder to learn for the newcomer, but rewards are much greater since you can control all the procedure in every single detail.\n",
    "\n",
    "In this example, we will fit the 850-1300 cm$^{-1}$ portion of a Raman spectrum of a lithium tetrasilicate glass Li$_2$Si$_4$O$_9$, the name will be abbreviated LS4 in the following. \n",
    "\n",
    "For further references for fitting Raman spectra of glasses, please see for instance: Virgo et al., 1980, Science 208, p 1371-1373; Mysen et al., 1982, American Mineralogist 67, p 686-695; McMillan, 1984, American Mineralogist 69, p 622-644; Mysen, 1990, American Mineralogist 75, p 120-134; Le Losq et al., 2014, Geochimica et Cosmochimica Acta 126, p 495-517 and Neuville et al., 2014, Reviews in Mineralogy and Geochemistry 78.\n",
    "\n",
    "We will use the optimization algorithms of Scipy together with the library lmfit (http://lmfit.github.io/lmfit-py/) that is extremely useful to add constrains to the fitting procedure."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Importing libraries\n",
    "So the first part will be to import a bunch of libraries for doing various things"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np # For data manipulation\n",
    "import random\n",
    "import matplotlib.pyplot as plt # For doing the plots"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need in particular the library lmfit created and maintained by Matt Newville, CARS, University of Chicago, and available at http://lmfit.github.io/lmfit-py/. See the documentation on the website for installing and using this one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lmfit\n",
    "from lmfit.models import GaussianModel"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we import rampy (as rp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rampy as rp"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing and looking at the data\n",
    "Let's first have a look at the spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get the spectrum to deconvolute, with skipping header and footer comment lines from the spectrometer\n",
    "inputsp = np.genfromtxt(\"./data/LS4.txt\",skip_header=20, skip_footer=43) \n",
    "\n",
    "# create a new plot for showing the spectrum\n",
    "plt.figure()\n",
    "plt.plot(inputsp[:,0],inputsp[:,1],'-', linewidth=1.0)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 12)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 12)\n",
    "plt.title(\"Fig. 1: the raw data\",fontsize = 12,fontweight=\"bold\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are interested in fitting the 870-1300 cm$^{-1}$ portion of this spectrum, which can be assigned to the various symmetric and assymetric stretching vibrations of Si-O bonds in the SiO$_2$ tetrahedra present in the glass network (see the above cited litterature for details).\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Baseline Removal\n",
    "\n",
    "First thing we notice in Fig. 1, we have to remove a baseline because this spectrum is shifted from 0 by some \"background\" scattering. For that, we can use the rp.baseline() function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "roi = np.array([(860,874),(1300,1330)]) # The regions where the baseline will be fitted\n",
    "y_corr, y_base = rp.baseline(inputsp[:,0],inputsp[:,1], roi=roi, method='poly', polynomial_order=2)# We fit a polynomial background.\n",
    "\n",
    "plt.plot(inputsp[:,0],inputsp[:,1],'-', linewidth=1.0,label='Raw data')\n",
    "plt.plot(inputsp[:,0],y_base,'-', linewidth=1.0,label='Baseline')\n",
    "plt.plot(inputsp[:,0],y_corr,'-', linewidth=1.0,label='Corrected data')\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\")\n",
    "plt.ylabel(\"Normalized intensity, a. u.\")\n",
    "plt.title('Figure 2: the baseline correction')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could also use the `rampy.plot_spectrum` function to vizualize the baseline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "line": {
          "color": "blue",
          "width": 2
         },
         "mode": "lines",
         "name": "Spectrum - Original",
         "type": "scatter",
         "x": {
          "bdata": 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",
          "dtype": "f8"
         },
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",
          "dtype": "f8"
         }
        },
        {
         "line": {
          "color": "rgba(0, 0, 0, 0.8)",
          "dash": "dash",
          "width": 1.5
         },
         "mode": "lines",
         "name": "Polynomial fit",
         "type": "scatter",
         "x": {
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",
          "dtype": "f8"
         },
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",
          "dtype": "f8"
         }
        },
        {
         "line": {
          "color": "blue",
          "width": 2
         },
         "mode": "lines",
         "name": "Spectrum - Original",
         "type": "scatter",
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",
          "dtype": "f8"
         },
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              "solidity": 0.2
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             "solidity": 0.2
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         "text": "Fig. 2: the baseline corrected spectrum"
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   "source": [
    "fig = rp.plot_spectrum(inputsp[:,0],inputsp[:,1],\n",
    "                 baselines=[y_base,], baseline_labels=['Polynomial fit'],\n",
    "                 xaxis_title='Raman shift, cm-1',\n",
    "                 yaxis_title='Normalized intensity, a. u.',\n",
    "                 title='Fig. 2: the baseline corrected spectrum')\n",
    "# we can add a new line as well:\n",
    "fig = rp.plot_spectrum(inputsp[:,0],y_corr, fig=fig)\n",
    "fig.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will do some manipulation to have the interested portion of spectrum in a single variable. We will assume that the errors have not been drastically affected by the correction process (in some case it can be, but this one is quite straightforward), such that we will use the initial relative errors stored in the \"ese0\" variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
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   "source": [
    "# signal selection\n",
    "lb = 867 # The lower boundary of interest\n",
    "hb = 1300 # The upper boundary of interest\n",
    "\n",
    "# Extract the signal of interest\n",
    "sp_fit = rp.extract_signal(inputsp[:,0], y_corr, [[lb, hb]]) \n",
    "x_fit = sp_fit[:,0]\n",
    "y_fit = sp_fit[:,1]\n",
    "\n",
    "# the relative errors after baseline subtraction\n",
    "ese0 = np.sqrt(abs(y_fit))/abs(y_fit) \n",
    "\n",
    "y_fit = rp.normalise(y_fit, method=\"intensity\")\n",
    "\n",
    "#calculate good ese\n",
    "sigma = abs(ese0*y_fit) "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Last steps before fitting the spectrum\n",
    "\n",
    "So here we are. We have the corrected spectrum in the sample variable. \n",
    "\n",
    "But before going further away,we need to write a function for the optimisation. It will return the difference between the calculated and measured spectrum, following the guideline provived by lmfit (http://lmfit.github.io/lmfit-py/) Please note that I do the fitting this way because it gives a pretty good control of the entire process, but you can use directly the builtin models of lmfit (http://lmfit.github.io/lmfit-py/builtin_models.html) for fitting the spectrum. Doing so, your code will be different from this one and you don't need to define a residual function. In such case, you want to look at the example 3 on the page http://lmfit.github.io/lmfit-py/builtin_models.html. But let's just pretend we want to write our own piece of code and use the Gaussian function implemented in Rampy.\n",
    "\n",
    "The shape of the spectrum suggests that at least three peaks are present, because of the two obvious bands near 950 and 1080 cm$^{-1}$ and a slope break near 1200 cm $^{-1}$. From previous works, we actually know that we have two additional peaks (See Mysen, 1990 or Le Losq et al., 2014) in this spectral region located near 1050 and 1150 cm$^{-1}$. So we have to fit 5 peaks, and hence, we have 5 intensities variables a1 to a5, 5 frequencies f1 to f5, and 5 half width at half peak maximum l1 to l5. This makes a total of 15 parameters. Those variables will be stored in the Parameters() object created by the lmfit software (see http://lmfit.github.io/lmfit-py/parameters.html), we will go back on this one latter. For now, let just say that the Parameters() object is called \"pars\" and contains the various a1-a5, f1-f5 and l1-l5 parameters, such that we can have their values with using a1 = pars['a1'].value for instance.\n",
    "\n",
    "So let's go. We create the function \"residual\" with arguments pars (the Parameters() object), the x axis, and, in option, the y axis as data and the errors."
   ]
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  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def residual(pars, x, data=None, eps=None): #Function definition\n",
    "    # unpack parameters, extract .value attribute for each parameter\n",
    "    a1 = pars['a1'].value\n",
    "    a2 = pars['a2'].value\n",
    "    a3 = pars['a3'].value\n",
    "    a4 = pars['a4'].value\n",
    "    a5 = pars['a5'].value\n",
    "    \n",
    "    f1 = pars['f1'].value\n",
    "    f2 = pars['f2'].value\n",
    "    f3 = pars['f3'].value\n",
    "    f4 = pars['f4'].value\n",
    "    f5 = pars['f5'].value \n",
    "    \n",
    "    l1 = pars['l1'].value\n",
    "    l2 = pars['l2'].value\n",
    "    l3 = pars['l3'].value\n",
    "    l4 = pars['l4'].value\n",
    "    l5 = pars['l5'].value\n",
    "    \n",
    "    # Using the Gaussian model function from rampy\n",
    "    peak1 = rp.gaussian(x,a1,f1,l1)\n",
    "    peak2 = rp.gaussian(x,a2,f2,l2)\n",
    "    peak3 = rp.gaussian(x,a3,f3,l3)\n",
    "    peak4 = rp.gaussian(x,a4,f4,l4)\n",
    "    peak5 = rp.gaussian(x,a5,f5,l5)\n",
    "    \n",
    "    model = peak1 + peak2 + peak3 + peak4 + peak5 # The global model is the sum of the Gaussian peaks\n",
    "    \n",
    "    if data is None: # if we don't have data, the function only returns the direct calculation\n",
    "        return model, peak1, peak2, peak3, peak4, peak5\n",
    "    if eps is None: # without errors, no ponderation\n",
    "        return (model - data)\n",
    "    return (model - data)/eps # with errors, the difference is ponderated"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that in the above function, I did not applied the square to (model - data). This is implicitely done by lmfit (see http://lmfit.github.io/lmfit-py/fitting.html#fit-func-label for further information on function writting).\n",
    "\n",
    "# Fitting\n",
    "\n",
    "Ok, we have our optimisation function. So we can go forward and fit the spectrum... \n",
    "\n",
    "We need five Guassians at 950, 1050, 1100, 1150 and 1200 cm$^{-1}$. We set their half-width at half-maximum at the same value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "params = lmfit.Parameters()\n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr)\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True, 0,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For further details on the Parameters() object, I invite you to look at this page: http://lmfit.github.io/lmfit-py/parameters.html . But from the above piece of code, you can already guess that you can make specific parameters that vary or not, you can fixe Min or Max values, and you can even put some contrains between parameters (e.g., \"l1 = l2') using the last \"Expr\" column.\n",
    "\n",
    "You can remark that we applied some boundaries for the peak positions, but also for peak widths. This is based on previous fits made for this kind of compositions. Typically, in such glass, peaks from Si-O stretch vibrations do not present half-width greater than 50 cm$^{-1}$ or smaller than 20 cm$^{-1}$. For instance, the 1080 cm$^{-1}$ peak typically present a half-width of ~ 30 cm$^{-1}$ ± 5 cm$^{-1}$ in silica-rich silicate glasses, such that we can apply a tighter constrain there. Following such ideas, I put bonds for the parameter values for the half-width of the peaks. This avoid fitting divergence. Furthermore, we know approximately the frequencies of the peaks, such that we can also apply bondaries for them. This will help the fitting, since in this problem, we have five peaks in a broad envelop that only present two significant features at ~950, ~1080 cm$^{-1}$ as well as two barely visible shoulders near 1050 and 1200 cm$^{-1}$. But this is a simple case. For some more complex (aluminosilicate) glasses, this 850-1300 cm$^{-1}$ frequency envelop is even less resolved, such that applying reasonable constrains become crucial for any quantitative Raman fitting.\n",
    "\n",
    "For starting the fit, as we suppose we have a not bad knowledge of peak frequencies (see the discussion right above), a good thing to do is to fix for the first fit the frequencies of the peaks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we constrain the positions\n",
    "params['f1'].vary = False\n",
    "params['f2'].vary = False\n",
    "params['f3'].vary = False\n",
    "params['f4'].vary = False\n",
    "params['f5'].vary = False"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This avoids any divergence of the fitting procedure regarding the hald-width, because with free frequencies and badly estimated half-width and intensities, the fitting procedure always tends to extremely broaden the peaks and put them at similar frequencies, with strong overlapping. Starting the fitting procedure by fixing the parameter we know the best, i.e. the frequencies, avoid such complications.\n",
    "\n",
    "Then, we need to use a large-scale algorithm quite robust for fitting. The levenberg-marquart algorithm fails on such fitting problem in my experience. Let's choose the Nelder and Mead algorithm for this example: (http://comjnl.oxfordjournals.org/content/7/4/308.short) :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "algo = 'nelder'  \n",
    "    \n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit)) # fit data with  nelder model from scipy"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And now we release the frequencies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "#we fit twice\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit)) # fit data with leastsq model from scipy"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now extract the various things generated by lmfit as well as the peaks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = lmfit.fit_report(result2.params)\n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square    "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And let's have a look at the fitted spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "10.350930190695651\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 3: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Nelder Mead algorithm \",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, we can test to change the algorithm and use the Levenberg-Marquart one which is well-used for simple problems by a lot of people. We will re-initialize the Params() object and run the entire code written above again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.012734476544554\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'leastsq' # We will use the Levenberg-Marquart algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 4: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Levenberg-Marquardt (LM) algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The comparison of Fig. 3 and 4 shows small differences. In this case, and because we have a good error model, the LM algorithm converges toward results similar to those of the Nelder-Mead algorithm. You can try to run again the calculation with removing the \"sigma\" input in the \"minimize\" function used above. You will see that the results will diverge much more than in this case. \n",
    "\n",
    "A convenient thing about the LM algorithm is that it allows to estimate the errors on the fitting parameters. This is not possible with gradient-less algorithms such as the Nelder-Mear or the Powell algorithms. For the latters, I will give a piece of code at the end of this notebook that allows to estimate good errors on parameters through bootrapping. \n",
    "\n",
    "The downside of the LM algorithm is that, in my experience, it fails if the envelop of bands to fit is broader than the one used in this example, because it seachs at all costs to fit the spectrum as good as possible... This typically results in extrem broadening and overlapping of the peaks you try to fit.\n",
    "\n",
    "A way to resolve this issue if the use of the LM algorithm is really needed is to put tigther constrains on the peak half-widths.\n",
    "\n",
    "But another way is to use a more global algorithm less prone to diverge from the initial estimations. The Nelder-Mead, Powell (Powell, 1964, Computer Journal 7 (2): 155-62) or the COBYLA (see Powell, 2007 Cambridge University Technical Report DAMTP 2007) algorithms can give good results for complex problems. Also, the Conjugate Gradient algorithm may be suitable (Wright & Nocedal, “Numerical Optimization”, 1999, pp. 120-122). Let's try the latter for now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.1485732001915316\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'cg' # We will use the Conjugate Gradient algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 5: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Conjugate Gradient (CG) algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CG algorithm returns a result close to the Nelder-Mead and the LM algorithms. A bad thing about the CG algorithm is that it is extremely slow in the Scipy implementation... It is (nearly) acceptable for one fit, but for bootstrapping 100 spectra, it is not a good option at all.\n",
    "\n",
    "As a last one, we can see what the results look like with the Powell algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.337457995375967\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'powell' # We will use the Powell algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 6: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Powell algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You see in Fig. 6 that the results are, again, close to those of the other algorithms, at the exception of the two last peaks. The intensity and the frequency of the peak near 1200 cm$^{-1}$ is higher in this fit than in the others.\n",
    "\n",
    "So one important thing that has to be remembered is that, with the same parameter inputs, you will obtain different results with using different fitting algorithms. The above results are close because the fitting example is quite simple. Actually, all the results given above seem reasonable. The experience with other spectra from other silicate and aluminosilicate glasses is that the Nelder-Mead and Powell algorithms will provide the most robust ways to fit the spectra.\n",
    "\n",
    "# Error estimations\n",
    "\n",
    "Errors can be estimated with using the \"confidence\" function if you used the Levenberg-Marquardt algorithm. See the examples here: http://lmfit.github.io/lmfit-py/confidence.html .\n",
    "\n",
    "If you use a large-scale gradient-less algorithm such as the Nelder-Mead or the Powell algorithms, you cannot do that. Thus, to calculate the errors on the parameters that those algorithms provide as well as the error introduced by choosing one or the other algorithm, we can use the bootstrapping technic. Several descriptions on the internet are available for this technic, so I will skip a complete description here.\n",
    "\n",
    "A quick overview is to say that we have datapoints Yi affected by errors e_Yi. We assume that the probability density function of the Yi points is Gaussian. According to the Central Theorem Limit, this probably is a good assumption. Therefore, for each frequency in the spectrum of Fig.1, we have points that are probably at an intensity of Yi but with an error of e_Yi. To estimate how this uncertainties affect our fitting results, we can pick new points in the Gaussian distribution of mean Yi with a standard deviation e_Yi, and construct whole new spectra that we will fit. We will repeat this procedure N times.\n",
    "\n",
    "In addition to that, we can also randomly choose between the Nelder-Mead or the Powell algorithm during the new fits, such that we will take also into account our arbitrary choice in the fitting algorithm for calculating the errors on the estimated parameters.\n",
    "\n",
    "A last thing would be to randomly change a little bit the initial values of the parameters, but this is harder to implement so we will not do it for this example.\n",
    "\n",
    "First of all, we have to write a Python function that will randomly sample the probability density functions of the points of the spectrum of Fig. 1. Here is the piece of code I wrote for doing so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### Bootstrap function\n",
    "def bootstrap(data, ese,nbsample):\n",
    "    # Bootstrap of Raman spectra. We generate new datapoints with the basis of existing data and their standard deviation\n",
    "    N = len(data)\n",
    "    bootsamples = np.zeros((N,nbsample))\n",
    "    \n",
    "    for i in range(nbsample):\n",
    "        for j in range(N):\n",
    "            bootsamples[j,i] = np.random.normal(data[j], ese[j], size=None)\n",
    "    return bootsamples"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will define how much new spectra we want to generate (the nbsample option of the bootstrap function), and we will run the previous function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 354 ms, sys: 3.96 ms, total: 358 ms\n",
      "Wall time: 360 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nboot = 100 # Number of bootstrap samples, I set it to a low value for the example but usually you want thousands there\n",
    "data_resampled = bootstrap(y_fit,sigma,nboot)# resampling of data + generate the output parameter tensor"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we will create a loop which is going to look at each spectrum in the data_resampled variable, and to fit them with the procedure already described.\n",
    "\n",
    "For doing so, we need to declare a couple of variables to record the bootstrap mean fitting error, in order to see if we generated enought samples to obtain a statistically representative bootstrapping process, and to record each set of parameters obtained for each bootstrapped spectrum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "para_output = np.zeros((5,3,nboot)) # 5 x 3 parameters x N boot samples\n",
    "bootrecord = np.zeros((nboot)) # For recording boot strap efficiency\n",
    "        \n",
    "for nn in range(nboot):\n",
    "    algos = ['powell','nelder']\n",
    "    algo = random.choice(algos) # We randomly select between the Powell or Nelder_mear algorithm\n",
    "    params = lmfit.Parameters()\n",
    "    #               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "    params.add_many(('a1',   24,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   35,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   85,    True,    70,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   22,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   4,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "    result = lmfit.minimize(residual, params, method = algo, args=(x_fit, data_resampled[:,nn],sigma))\n",
    "    # we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "    params['f1'].vary = True\n",
    "    params['f2'].vary = True\n",
    "    params['f3'].vary = True\n",
    "    params['f4'].vary = True\n",
    "    params['f5'].vary = True\n",
    "\n",
    "    result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, data_resampled[:,nn], sigma))\n",
    "                           \n",
    "    vv = result2.params.valuesdict()\n",
    "    para_output[0,0,nn] = vv['a1']\n",
    "    para_output[1,0,nn] = vv['a2']\n",
    "    para_output[2,0,nn] = vv['a3']\n",
    "    para_output[3,0,nn] = vv['a4']\n",
    "    para_output[4,0,nn] = vv['a5']\n",
    "            \n",
    "    para_output[0,1,nn] = vv['f1']\n",
    "    para_output[1,1,nn] = vv['f2']\n",
    "    para_output[2,1,nn] = vv['f3']\n",
    "    para_output[3,1,nn] = vv['f4']\n",
    "    para_output[4,1,nn] = vv['f5']\n",
    "            \n",
    "    para_output[0,2,nn] = vv['l1']\n",
    "    para_output[1,2,nn] = vv['l2']\n",
    "    para_output[2,2,nn] = vv['l3']\n",
    "    para_output[3,2,nn] = vv['l4']\n",
    "    para_output[4,2,nn] = vv['l5']\n",
    "                \n",
    "para_mean = np.mean(para_output,axis=2)\n",
    "para_ese = np.std(para_output,axis=2)\n",
    "for kjy in range(nboot):\n",
    "    if kjy == 0:\n",
    "        bootrecord[kjy] = 0\n",
    "    else:\n",
    "        bootrecord[kjy] = np.sum(np.std(para_output[:,:,0:kjy],axis=2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can have a view at the mean values and standard deviation of the parameters that have been generated by the bootstrapping:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.10225432e-01, 9.59300113e+02, 3.87937114e+01],\n",
       "       [2.47802383e-02, 1.01131574e+03, 3.43571154e+01],\n",
       "       [7.00000000e+01, 1.07997283e+03, 2.50000000e+01],\n",
       "       [8.90878482e-13, 1.15595409e+03, 2.73862634e+01],\n",
       "       [6.27147400e-02, 1.18922378e+03, 3.08184644e+01]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "para_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.04048284e-01, 7.54666248e+00, 1.02182778e+01],\n",
       "       [2.38268529e-02, 2.22363334e+01, 1.49445697e+01],\n",
       "       [3.40593337e-12, 1.18734676e-03, 9.95224194e-10],\n",
       "       [7.88814547e-12, 3.38261308e+00, 7.40884735e+00],\n",
       "       [5.91390996e-02, 8.02056358e+00, 6.65731481e+00]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "para_ese"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Those errors are probably the best estimates of the errors that affect your fitting parameters. You can add another bootstrapping function for changing of, saying, 5 percents the initial estimations of the parameters, and you will have a complete and coherent estimation of the errors affecting the fits. But for most cases, the errors generated by this above bootstrapping technic are already quite robust.\n",
    "\n",
    "We can see if we generated enought samples to have valid bootstrap results by looking at how the mean value of the parameters and their error converge. To do a short version of such thing, we can also look at how the summation of the errors of the parameters change with the iteration number. If the summation of errors becomes constant, we can say that we have generated enought bootstrap samples to have a significant result, statistically speaking."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fig. 7: Bootstrap iterations for convergence')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.arange(nboot)+1,bootrecord,'ko')\n",
    "plt.xlim(0,nboot+1)\n",
    "plt.xlabel(\"Number of iterations\",fontsize = 14)\n",
    "plt.ylabel(\"Summed errors of parameters\",fontsize = 14)\n",
    "plt.title(\"Fig. 7: Bootstrap iterations for convergence\",fontsize = 14, fontweight = 'bold')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see from the above figure that the algorithm seems to have converged after 70 iterations. Therefore, we need to generate at least 70 spectra with the bootstrap function to obtain a good estimate of the errors that affect the parameters.\n",
    "\n",
    "# Conclusion\n",
    "This IPython notebook showed how spectra can be corrected from any baseline, how it is possible to use lmfit to fit it with Gaussian peaks, how changing the optimisation algorithm can change the results, and how we can estimate the errors on the calculated parameters with using the bootstrapping technic.\n",
    "\n",
    "Several peak models are defined in the Rampy toolbox, or directly in lmfit. You can look at the relevant instructions for both software to use other peak models in the above calculation. Results can be saved in textfiles, through using the Python output functions like np.savetxt or other ways. See the relevant python documentation for doing so. Any comments on this program will be welcome."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "rp",
   "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": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}