{ "cells": [ { "cell_type": "markdown", "id": "ab5196e9-cad0-4814-8a05-61a2b27141fa", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Parameter (uncertainty) estimates benchmarked with synthetic time series\n", "\n", "*Mark Bakker - Delft University of Technology*\n", "\n", "The purpose of this notebook is to demonstrate that the parameters estimated by Pastas are unbiased and that the coverage of the estimated uncertainty of the parameters is correct, i.e., the 95% confidence intervals of the estimated parameters contains the true parameter values approximately 95% of the time. \n", "\n", "All examples in this notebook use synthetic data. The true head is simulated with a known response function. The performance of Pastas is evaluated for head series with different kinds of both uncorrelated and correlated errors. The Notebook consists of the following sections:\n", "\n", "0. [Generation of the true head series.](#generation-of-synthetic-head-series-the-truth)\n", "1. [Modeling of synthetic heads that contain no errors.](#experiment-0-uncorrelated-errors-no-noise-model)\n", "2. [Modeling of synthetic heads with uncorrelated errors](#experiment-1-correlated-errors-with--no-noise-model)\n", "3. [Modeling of synthetic heads with correlated errors](#experiment-2-correlated-errors-with--with-ar1-noise-model)" ] }, { "cell_type": "code", "execution_count": 1, "id": "3f9812c4-444d-4bd4-8bb8-759ef672ec27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pastas : 2.0.0\n", "Python : 3.13.11\n", "Numpy : 2.4.6\n", "Pandas : 3.0.3\n", "Scipy : 1.17.1\n", "Matplotlib : 3.10.9\n", "Numba : 0.65.1\n", "\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.special import gammainc, gammaincinv\n", "\n", "import pastas as ps\n", "\n", "plt.rcParams[\"figure.figsize\"] = (5, 3) # default figure size\n", "ps.show_versions()" ] }, { "cell_type": "markdown", "id": "aadbb7aa-0a38-465e-b596-45b3a92b9ee5", "metadata": {}, "source": [ "The following function generates correlated data with an underlying standard deviation of $\\sigma_x$ and a correlation $\\rho$." ] }, { "cell_type": "code", "execution_count": 2, "id": "eb5c6d9b-6e6c-4963-bd63-8e13cbfce2a7", "metadata": {}, "outputs": [], "source": [ "def generate_correlated_data(N, sigx, rho, seed=1):\n", " \"\"\"\n", " N: length of array of correlated data\n", " sigx: standard deviation of the correlated data\n", " rho: correlation coefficient\n", " seed: seed to be used in random number generation\n", " \"\"\"\n", " sige = np.sqrt(1 - rho**2) * sigx\n", " np.random.seed(seed)\n", " e = np.random.normal(0, sige, N - 1)\n", " x = np.zeros(N)\n", " x[0] = np.random.normal(0, sigx) # first point variance sigx\n", " for j in range(1, len(x)):\n", " x[j] = rho * x[j - 1] + e[j - 1]\n", " return x" ] }, { "cell_type": "markdown", "id": "c2addd59-9d76-4fad-b1ff-237c1157f65b", "metadata": {}, "source": [ "## Generation of synthetic head series (the truth)" ] }, { "cell_type": "markdown", "id": "f932abe4-f890-4114-a7d2-e256b0401757", "metadata": {}, "source": [ "The synthetic head series are generated with a Gamma response function. The response functions are defined below for clarity (alternatively, the response function of Pastas can be used). " ] }, { "cell_type": "code", "execution_count": 3, "id": "c3ceb087-a63e-4420-90c6-3585a3b1116e", "metadata": {}, "outputs": [], "source": [ "def gamma_tmax(A, n, a, cutoff=0.999):\n", " \"\"\"returns time for which step function equals cutoff * A\"\"\"\n", " return gammaincinv(n, cutoff) * a\n", "\n", "\n", "def gamma_step(A, n, a, cutoff=0.999):\n", " \"\"\"\n", " returns gamma step function starting at t=0 with intervals of delt = 1\n", " tmax is the time for which the step function reaches cutoff * A\n", " \"\"\"\n", " tmax = gamma_tmax(A, n, a, cutoff)\n", " t = np.arange(0, tmax, 1)\n", " s = A * gammainc(n, t / a)\n", " return s\n", "\n", "\n", "def gamma_block(A, n, a, cutoff=0.999):\n", " \"\"\"returns the gamma block response starting at t=0 with intervals of delt = 1\"\"\"\n", " s = gamma_step(A, n, a, cutoff)\n", " return np.append(s[0], s[1:] - s[:-1])" ] }, { "cell_type": "markdown", "id": "0769a93e-0362-4968-84f9-b20bde72ff68", "metadata": {}, "source": [ "The Gamma response function requires three input arguments: A, n and a. The true values of the parameters used in this notebook are given below and the response function is drawn. The response function reflects the response to one unit of recharge during one day. For example, if the units of the recharge are mm/d, then the head response is in mm (in response to 1 mm of recharge). If the units of the recharge are m/d, then the head response is in m (in response to 1 m of recharge). " ] }, { "cell_type": "code", "execution_count": 4, "id": "6ff73d31-a015-4e27-a5d3-7ed90f2a1704", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Atrue = 400 # true value of A\n", "ntrue = 1.1 # true value of n\n", "atrue = 100 # true vale of a\n", "dtrue = 20 # base level of heads\n", "ptrue = np.array([Atrue, ntrue, atrue, dtrue]) # array with true parameter values\n", "pnames = [\"A\", \"n\", \"a\", \"d\"] # names of parameters\n", "hblock = gamma_block(Atrue, ntrue, atrue)\n", "tmax = gamma_tmax(Atrue, ntrue, atrue)\n", "plt.plot(hblock)\n", "plt.xlabel(\"Time (days)\")\n", "plt.ylabel(\"Head response\")\n", "plt.title(f\"Gamma block response with tmax={tmax:.0f} d\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "30e1dfd2-801d-431f-931b-09f5c8fd1a9c", "metadata": {}, "source": [ "### Create synthetic observations\n", "Rainfall is used as input series to create a synthetic head series.\n", "The generated head series is purposely not generated with convolution so that it is clear how the head is computed. The computed head at day 1 is the head at the end of day 1 due to rainfall during day 1." ] }, { "cell_type": "code", "execution_count": 5, "id": "b30dc11f-9760-4f19-801e-a0d7d2440a80", "metadata": {}, "outputs": [], "source": [ "def generate_heads(Atrue, ntrue, atrue, dtrue, rain, yearstart, yearend):\n", " \"\"\"yearstart and yearend are strings\"\"\"\n", " step = gamma_block(Atrue, ntrue, atrue)[\n", " 1:\n", " ] # start head computation at end of first day\n", " lenstep = len(step)\n", " h = dtrue * np.ones(len(rain) + lenstep)\n", " for i in range(len(rain)):\n", " h[i : i + lenstep] += rain.iloc[i] * step\n", " head = pd.Series(index=rain.index, data=h[: len(rain)]).loc[yearstart:yearend]\n", " return head" ] }, { "cell_type": "markdown", "id": "5095827c-bd17-47db-9ebc-feea7cd32fbf", "metadata": {}, "source": [ "Synthetic heads are generated for the period 1990 - 1995. Computations start in 1980 as a warm-up period. The series with daily rainfall starts in 1980." ] }, { "cell_type": "code", "execution_count": 6, "id": "32f53cc2-f750-45ab-81c6-235bc22e5b39", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rain = (\n", " pd.read_csv(\"../examples/data/rain_260.csv\", index_col=0, parse_dates=[0]).squeeze()\n", " / 1000\n", ")\n", "head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1994\")\n", "#\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(head, \"k.\", label=\"head\", markersize=1)\n", "plt.legend(loc=0)\n", "plt.ylabel(\"head (m)\")\n", "plt.xlabel(\"time (years)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "8eb98054-48b5-412c-947c-3bd2c64779d2", "metadata": {}, "source": [ "### Synthetic heads that contain no errors.\n", "In this first test, it is demonstrated that Pastas finds the correct parameters back" ] }, { "cell_type": "code", "execution_count": 7, "id": "ebb82d71-32dc-4eb5-9a6b-c94de3e3ad53", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit report None Fit Statistics\n", "====================================================\n", "nfev 10 EVP 100.00\n", "nobs 1826 R2 1.00\n", "noise False RMSE 0.00\n", "tmin 1990-01-01 00:00:00 AICc -114395.12\n", "tmax 1994-12-31 00:00:00 BIC -114373.10\n", "freq D Obj nan\n", "freq_obs None ___ \n", "warmup 3650 days 00:00:00 Interp. No\n", "\n", "Parameters (4 optimized)\n", "====================================================\n", " optimal initial vary\n", "rain_A 400.0 217.313623 True\n", "rain_n 1.1 1.000000 True\n", "rain_a 100.0 10.000000 True\n", "constant_d 20.0 20.885570 True\n" ] } ], "source": [ "ml = ps.Model(oseries=head)\n", "ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve()" ] }, { "cell_type": "markdown", "id": "b4c6a37e-3a17-4e50-bbb5-df69c94f4a05", "metadata": {}, "source": [ "### Synthetic heads that contain uncorrelated errors" ] }, { "cell_type": "markdown", "id": "b38efd84-2568-41c3-9390-2a3f19f55ff9", "metadata": {}, "source": [ "Uncorrelated errors with $\\sigma=0.1$ are added to the synthetic heads." ] }, { "cell_type": "code", "execution_count": 8, "id": "be173697-346c-4a92-a0bb-a0e7c5e0acb9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "code", "execution_count": 9, "id": "024ea1f4-f617-4ae8-b486-78ee132d756c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0.9, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "markdown", "id": "14475815-a774-44f9-8952-7459ec89e4c6", "metadata": {}, "source": [ "## Perform experiments to test whether the uncertainty estimate of the parameters is reasonable" ] }, { "cell_type": "code", "execution_count": 10, "id": "fd89ad72-a894-4012-bc55-f37d2377ea21", "metadata": {}, "outputs": [], "source": [ "def model1(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model and a Gamma response function\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "code", "execution_count": 11, "id": "f28b1b8c-ee4e-446f-bac7-594ef270dc5c", "metadata": {}, "outputs": [], "source": [ "def model2(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model, a Gamma response function, and an AR1 noise model\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ps.ArNoiseModel(ml)\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "markdown", "id": "35aa618c-e9b2-4911-9e52-ec2a6b1df94e", "metadata": {}, "source": [ "A numerical experiment is conducted to test whether the Pastas estimates the uncertainty of the parameters correctly. In the experiment, the synthetic head consists of the true head plus an error. Different errors are generated every time. A pastas model is created of the synthetic head series with the introduced error and it is determined whether the true parameters are within the 95% confidence interval of the estimated parameters. The experiment consists of 1000 runs of heads with different random errors. " ] }, { "cell_type": "code", "execution_count": 12, "id": "1038c83e-ff9a-427d-abb0-6fb6ae751137", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def experiment(nexp, nparam, model, ptrue, pnames, sigh=0.1, rho=0):\n", " \"\"\"\n", " nexp: number of times to run the experiment\n", " nparam: number of parameters to estimate\n", " model: model function to call (as defined above)\n", " ptrue: array with true values of the parameters\n", " sigh: standard deviation of the errors in the synthetic head\n", " rho: correlation between the errors in the synthetic head\n", " Returns:\n", " p: DataFrame with estiamted parameters for each nexp runs\n", " sig: DataFrame with estimated standard error for each nexp runs\n", " coverage: DataFrame with 1 row and nparam columns with the coverage\n", " of each parameter\n", " \"\"\"\n", " head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1994\")\n", " head_errors = [\n", " head + generate_correlated_data(len(head), sigx=sigh, rho=rho, seed=i)\n", " for i in range(nexp)\n", " ]\n", "\n", " p = np.empty((nexp, nparam))\n", " sig = np.empty((nexp, nparam))\n", " rsq = np.empty(nexp)\n", " rmse = np.empty(nexp)\n", " for i in range(nexp):\n", " if i % 100 == 0:\n", " print(\".\", end=\"\")\n", " p[i], sig[i], rsq[i], rmse[i] = model(head_errors[i])\n", " print(\"\\n\")\n", "\n", " coverage = (np.abs(p - ptrue) < 1.96 * sig).sum(0)\n", " p_df = pd.DataFrame(p, columns=pnames)\n", " sig_df = pd.DataFrame(sig, columns=pnames)\n", " cov_df = pd.DataFrame(\n", " coverage[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", " )\n", " return p_df, sig_df, cov_df, rsq, rmse" ] }, { "cell_type": "markdown", "id": "08ac7d5e-409b-4018-baa0-5793f8a567b0", "metadata": {}, "source": [ "### Experiment 0. Uncorrelated errors, no noise model\n", "The coverage is pretty good and close to 95% for all parameters. This shows the standard error estimation in `pastas` is correct when the residuals are uncorrelated." ] }, { "cell_type": "code", "execution_count": 13, "id": "577744e3-f278-4e94-a9d6-b32b6b1ef51c", "metadata": {}, "outputs": [], "source": [ "nexp = 1000 # 1000 runs in the experiments in this notebook" ] }, { "cell_type": "code", "execution_count": 14, "id": "5135aebe-00b4-45ec-8ddb-a8b32e8beed0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage95.293.791.094.9
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" ], "text/plain": [ " A n a d\n", "coverage percentage 95.2 93.7 91.0 94.9" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# no correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0\n", "p, sig, coverage, rsq, rmse = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=0\n", ")\n", "coverage # number of estimates in 95% uncertainty interval (out of 1000)" ] }, { "cell_type": "markdown", "id": "3dceee4f-bc83-4c2c-b96d-c9e6b9d73b38", "metadata": {}, "source": [ "### Experiment 1. Correlated errors with $\\rho=0.9$, no noise model\n", "The first set of experiments are for the case that the standard deviation of the error is $\\sigma=0.1$ and the correlation between errors from one day to the next is $\\phi=0.9$ ($\\alpha\\approx 9.5$ d). \n", "\n", "The coverage is not very good, as expected. The coverage is low, because the standard error is estimated too low when there is large autocorrelation in the residuals. " ] }, { "cell_type": "code", "execution_count": 15, "id": "091720e0-39f0-4f48-9f13-b97ef408b912", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage32.938.031.232.9
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" ], "text/plain": [ " A n a d\n", "coverage percentage 32.9 38.0 31.2 32.9" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "p1, sig1, coverage1, rsq1, rmse1 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "coverage1" ] }, { "cell_type": "markdown", "id": "f1d1d225-537e-4bf2-a64d-a4e8f8db9118", "metadata": {}, "source": [ "In fact, the standard error estimate is approximately 4 times too small for this case. As shown below, when the standard error is 4 times larger, the coverage is reasonable. " ] }, { "cell_type": "code", "execution_count": 16, "id": "ad6a3fcb-2244-4d03-b5f2-b5535656faad", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Anad
coverage percentage90.994.279.491.3
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 90.9 94.2 79.4 91.3" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coverage1a = (np.abs(p1.values - ptrue) < 1.96 * (4 * sig1.values)).sum(0)\n", "pd.DataFrame(\n", " coverage1a[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", ")" ] }, { "cell_type": "markdown", "id": "ff7153f0-6105-48dd-8859-e995e9916e81", "metadata": {}, "source": [ "### Experiment 2. Correlated errors with $\\rho=0.9$, with AR1 noise model\n", "The coverage is much better now as the AR1 noise model is doing a good job. Only the coverage of the $\\alpha$ parameter of the noise model is on the low side. " ] }, { "cell_type": "code", "execution_count": 17, "id": "6959f1f2-1e57-4ba5-91cb-aa3a7a52727d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage93.091.778.893.389.9
\n", "
" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 93.0 91.7 78.8 93.3 89.9" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, AR1 noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "pnames2 = pnames + [\"alpha\"]\n", "p2, sig2, coverage2, rsq2, rmse2 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "coverage2" ] }, { "cell_type": "markdown", "id": "d37ce159-0ba7-4ce4-9e34-3873272462b4", "metadata": {}, "source": [ "## Parameters are estimated correctly when no noise model is added\n", "In Experiments 1 and 2, the parameters were estimated for synthetic head data with correlated errors in two ways. First, a `pastas` model was used without a noise model and second a `pastas` model as used with a noise model. It was shown that the `pastas` model without a noise model did a poor job in estimating the standard error of the parameters, as expected. But this does not mean that the estimated parameters themselves were biased. On the contrary, the following two graphs demonstrate that the estimated parameters with or without a noise model are essentially similar. The first graph shows a histogram of parameter $A$ with and without the noise model. Note that the two histograms pretty much overlap. The second graph plots the estimated values of $A$ with a noise model vs. the estimated values of $A$ without a noise model. These values plot almost on a straight 45$^\\circ$ line, which indicates that the values of $A$ only differ slightly with or without a noise model." ] }, { "cell_type": "code", "execution_count": 18, "id": "fab8f933-05e1-4647-8de9-c72fbe824738", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p1.iloc[:, i], bins=20, density=True)\n", " plt.hist(p2.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w/ noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 19, "id": "daf1547a-7c32-490d-944e-3fba45ee2ff5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p1.iloc[:, i], p2.iloc[:, i], \".\", markersize=1)\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "18c0ed59-fcaf-4273-bce3-cda50864a6d4", "metadata": {}, "source": [ "The ultimate test to determine whether parameters estimated without a noise model are not significantly different from parameters estimated with a noise model is to check whether the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The estimates values of $n$ are outside the 95% confidence interval more than 300 times out of 1000. That is quite a bit and is an indication that $n$ cannot be estimated very accurately for this dataset. " ] }, { "cell_type": "code", "execution_count": 20, "id": "007938ad-7a1d-4665-badc-9d4bd67d5a27", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameters without noise model within 95% confidence interval with noise model\n", "A, n, a, d\n" ] }, { "data": { "text/plain": [ "array([1000, 640, 817, 1000])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"parameters without noise model within 95% confidence interval with noise model\")\n", "print(\"A, n, a, d\")\n", "(np.abs(p1.values - p2.values[:, :-1]) < 1.96 * sig2.values[:, :-1]).sum(0)" ] }, { "cell_type": "markdown", "id": "46f95e23-7a0a-48eb-acda-1bab40d8d2d5", "metadata": {}, "source": [ "## Parameter uncertainty is larger when the correlation factor is larger" ] }, { "cell_type": "markdown", "id": "4c6c801b-d43d-4b0a-9694-808165505fbe", "metadata": {}, "source": [ "The experiments are repeated for the case that the standard deviation of the error is still $\\sigma=0.1$ but the correlation between errors from one day to the next is increased to $\\phi=0.99$ ($\\alpha\\approx 99.5$ d). The coverage of the estimated parameter uncertainty is somewhat smaller than 95% when using the AR1 noise model. " ] }, { "cell_type": "code", "execution_count": 21, "id": "e8374abe-f157-4d45-a236-dd2a503af667", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "coverage without noise model\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage12.422.711.09.8
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" ], "text/plain": [ " A n a d\n", "coverage percentage 12.4 22.7 11.0 9.8" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage with AR1 noise model\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage74.293.363.276.171.9
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 74.2 93.3 63.2 76.1 71.9" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigh = 0.1\n", "rho = 0.99\n", "p3, sig3, coverage3, rsq3, rmse3 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage without noise model\")\n", "display(coverage3)\n", "#\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "p4, sig4, coverage4, rsq4, rmse4 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage with AR1 noise model\")\n", "display(coverage4)" ] }, { "cell_type": "markdown", "id": "1f2e0e2e-1f49-4dfe-b3c2-71575dfb8a6a", "metadata": {}, "source": [ "### It is sometimes difficult to estimate the parameters when the correlation $\\phi$ is very large.\n", "The difficulty lies in the model when no noise model is used. It seems the wrong optimal is sometimes found and it is more difficult to estimate $n$. This requires further investigation. " ] }, { "cell_type": "code", "execution_count": 22, "id": "c1de13c4-506b-482a-92ab-e22794015b2a", "metadata": {}, "outputs": [ { "data": { "image/png": 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k9U3zVzLU4Be1XqhJRjWA/rSxGvjit4Kotk8BxuWXX+4u7LqveX+14qIfLPzjH/9wfdt0gdc8xOpPptYNDQ6KZ0Nn/28Azsn0aBo6dRiA1GlOdAkeSOg3Iauvqih/UcWGWig0e5MmgjjZqqkAkMg0FSviT7oDinbt2rkBKlqEQ7V16pakATT+4BYNYgkeFKJR/KrhU/PWo48+6oIGdUvyZ0oRDa5WUKLpXdV1Sotu6DX95hX1O1Yg8vjjj7uLtoIOBRTB4ypUW6gpvlSrqFYU9RNTGuN6DQoAGeZUeoMqj9JCn7oBAJCo0jWGIt5FbX/mNJrT091CQX9eJICo/S3HaDpxGl2eyHMTAmMoEI8ybAwFAABIZ7DBGAsAcY6AAgCAjEZQASCOEVAAAAAACBsBBQAAAICwEVAAAAAAyLxpY5HxKvT+IOR+j2ynPpMTAACIQ5k9DicGZyjTukFazkBrpMW6ChUquHXadDsVWlpByzJo4edIIKAAAABAzJs0aZJlz5490slISAQUAAAAiHmFCxeOdBISFmMoAAAIB2tMAM706dOtYMGCduzYMXdf3W6SkpKsd+/egTN0xx132C233JLqGdP+r7/+ul133XWWJ08eq1Spkk2bNi1kn/nz51uDBg0sZ86cVrJkSff6R48eDenyFNxF6NVXX3Wvo0XZihcvbjfccEPgsePHj9vAgQPdom25c+e2WrVq2X//+9+TdkN6+umnrWPHjpYvXz4rX768S+PPP/9sbdq0cdtq1qxpS5cuDXnee++9Z9WqVXPp1msMHjw45PFdu3bZNddc49Kh9Lz99tsnvPeePXvcOSxWrJhbCPWKK66wr7/+Omq+gQQUAAAACNsll1xi+/fvt+XLlwcK/kWLFrV58+YF9tE2FfjT8sQTT9hNN91kK1eutKuuuspuvvlm+/XXX91jW7duddvq16/vCtIjRoywf//7366AnxIV6u+//3578sknbf369TZz5ky79NJLA48rmPjPf/5jI0eOtG+++cYeeOABF/AonWl58cUX7eKLL3bH2rp1a7v11ltdgKHnLlu2zM4991x33/M8t/9XX33ljql9+/a2atUqN9ahX79+Nnbs2MBr3nbbbbZlyxabO3euC2oUCCnICHbjjTe6bR9++KF7zTp16ljTpk0D5yfS6PIEAACAsBUoUMANhlYAUa9ePfdXBXQFCAcOHLC9e/fad999Z02aNEnzdVSw7tChg/v/M888Yy+//LItXrzYWrZs6QrZZcuWtVdeecW1ZlSpUsW2bdtmjzzyiPXv39+yZAmtI9+8ebPlzZvXrr76ajvrrLNca8IFF1zgHjt06JB7/U8++cQaNmzotp1zzjn2+eef22uvvZZmOhXU/POf/3T/1/sqsKlfv74r8IvSo9fcuXOnlShRwoYMGeIK/goi5LzzzrM1a9bY888/747322+/dUGCjlOvIwqUzj///MB7Kl16XAGFWjnkhRdecIOwFYB07drVIo0WCgAAAJwWFcIVSKhm/rPPPrPrr7/eFYpVGFatf6lSpVz3o7Sou5BPwYC69vg19WvXrnUFdQUTPrUUKGD56aefTnitK6+80gURChTUiqBuRH/88Yd7TMGN/q991E3Jv6nF4vvvvz/lNKobldSoUeOEbcHpVjqD6f6GDRtcFzE9ni1bNqtbt27gcQVL6kLmU4uMjrNIkSIh6d24ceNJ05tZaKGIQj2ypd2HDwAAIJqoO9Mbb7zhCr+aaUmFYm1TkPHbb7+dtHVCks/QpOBBYx3CoVYJdUHS+3/88ceuNUHdjZYsWeIK5/LBBx9Y6dKlQ57ntwCcShr94CZ7CtvCTXdKlF6NGQnuQuYLDjwiiYACAAAAZ2QchcYY+MGDAopBgwa5gKJXr16n9fpq7dDgZrWA+IX2L774wgUOZcqUSfE5qvlv1qyZuw0YMMAVvufMmeNaJhQ4qFvUqQQ6p5vuL774ImSb7qvrU9asWV3gpYHlGhfhd3nSmA8NwvZpvMSOHTvc8WhQdzQioAAAAMBpKVSokOsOpK5FGucgGgStAclHjhw57YL7Pffc4xasu++++6xbt26u0K0goWfPnieMn/Bnnvrhhx9cGpS2GTNmuFaDypUruyDkwQcfdOM8tK1x48ZunIcK+upm1alTJztTevXq5QKFp556ytq1a2cLFy5050djQkTp0RgRjcvQeAwFDZqpSjM++RQQqbtX27Zt7bnnnnPBiMaPqIVFs2Jp3EqkEVAAAABEuxhYuVpBg6aM9Wdz0roQVatWdQOUVXA+HeqapKDgoYceclO86rW7dOliffv2TXF/tUZooTt1czp48KAbv/HOO++46VtFBXxNwarZnhR4aH+1BDz66KN2JtWpU8feffdd1+VK76muS5p5SgOyfWPGjHFTwur8aQyGZq7yB3GLWmR07I899ph17tzZTVOrAd8KlvwxG5GW5PnzWsH27dvnZipQlKoINVKG9u2cIa/bo+l5MZEhAfHyW46XdCKNdSjCQT4cd87kb1mFXw221XoEWj8BiJT0fBdpoUj0CyAXNgAAAJwGAopYruUCAAAAIoyAItHRYgEAAIDTQECRQIbO/vbk+3z0gfu7aVDrTEgREL0+/fRTt5KppvLbvn27TZ482c2w4dPwM80wMnr0aDe9nxYq0gwdJ1u4CQCAeBPWStnDhw938+BqgMaFF17olgNPy8SJE908u9pfqwlqpHowXZg1+l0j3zVNlqbH0gqCvk2bNrmR/BoUosfPPfdcdyE/fPhwyD4aBZ/8tmjRonAOEUCC+/33391MIsrvUqKp+15++WUbOXKkffnll25V1xYtWrhBbABwus7kwmhARn8H091CMWHCBDfnry6iCiY0J7AuopoP+Oyzzz5h/wULFliHDh3ctFxXX321jRs3ztXyafXC6tWrh1yY33zzTRc0aKosveaaNWtcELJu3Tp3UK+99pr97W9/s9WrV9udd97pLvgvvPBCyPt98skngSnBRMuUA0B6tWrVyt1SokoQ5X2arrBNmzZu23/+8x83fd+UKVOsffv2nHAAYcmRI4dbV0HrDGhaU933F3IDMoOucaq01/S0+i7qO3jGA4ohQ4a4wrzmwRUFFlpYQ8ut9+7d+4T9X3rpJbdgh+YNFs3BO2vWLLeoh557KhdmPV833znnnOMCGHUvSB5QKIDQ3Lyn4tChQ+4WPO0bAJyMptHTqqVqTfVpykhVsmjRotQCCvIcACejApwqV9XVUkEFECl58uSxcuXKpbhw4GkFFIpW1J+4T5//rWWgN9FFVRfRlGi7WjSCqfVBwcLpXJg117MWNUnu2muvdV0OtIrgww8/7O6nRq0mTzzxxCkcOQD8j/IsSb6gkO77j5HnAAiXaoRVkDt69KgdO3aME4lMlzVrVrdq96m2jqUroNi9e7f7Yqd0EVW3pJTo4prWRTecC/N3331nw4YNC2mdyJcvnw0ePNgNjFSQ895777muVQpcUgsqFBgFBztqoShbtuxJzgIAhIc8B8CpUkEue/bs7gZEu5ib5Wnr1q2u+9ONN97oul75ihYtGhIc1K9f3zUVapaW1AKKnDlzuhsApIffrXLnzp1uMgmf7teuXTvV55HnAAAs0Wd5UqFdTSC6aAbT/dTGLWh7WvsHX5hP9poKEC6//HJr1KiRjRo16qTpVbcptWYAwJmk/s3Kn2bPnh3SwqnZnho2bMjJBgAklCzp7dNXt27dkIuoZl/S/dQuotoevL9oULa//6lemNUycdlll7n3HzNmzCkNEFmxYkVI7SEAnKoDBw64PEQ3f7yX/r9582bXFaFHjx729NNP27Rp02zVqlXWsWNHK1WqVMhaFQAAJIJ0d3lSt6JOnTpZvXr1rEGDBm6GJk3f6s/6pItq6dKl3YBn6d69uzVp0sSNb2jdurWNHz/eli5dGmhhCL4wa0Eof9rY4AuzH0yUL1/ejZvQNFY+vxVDU84q4Lngggvc/UmTJrmZp15//XWLBhV6/7VgXEp6ZDv5gnMAMpfyKbWI+vwulcr/xo4d6yZ9UN7XtWtXt7Bd48aNbebMmW6qawAAEkm6A4p27dq5Ar0WotOgafUX1kXUH1St2rvg1gN1T9LaE5oW9tFHH3VBgwZK+2tQyMkuzGrRUNcl3cqUKROSHk0769OUtD/++KMbla6F9LRmxg033BDemQGQ0FSJEZy/JKfKkCeffNLdAABIZEleWlfMBKOuVpqyVlPS5s+fPxNbKP5r0WLo0b8CsE2DWkc6KUBU/pYTMZ1Ixdy/WuLT7fL/Tb2O+MBvGYkuXWMoAADAaQQTABCHCCgAAAAAJM46FPEgmro4AQAAAKeDgAIpBztzV/71l76+AAAASAMBBVI0dPZfU9kO/Sj1weQ+BnADAAAkLsZQAACQnsHYpzsgmwHdAOIMAQUAAACAsBFQAAAAAAgbYyiQrhmp/IXvAAAAAKGFAgAAAEDYCCgAAAAAhI0uTwAAmFmF3h+ccvfPHk3P45wBwP9HQAEAQJhr9YQrtTV+WNcHQCwioAAAIJP5LR7JJ7pIq5UkOYIPANGCMRQAAAAAwkYLBdKFaWQBAAAQjIAiM8wdaD2ynV5/WwBA+qWnC1GsoXsUgGhBQIHTxkUNAAAgcRFQ4Ix1gWIVbQDx2OqQvKtnLKLiB0BGIqDIhAya7k4AgFiplElvwMZsUwDCmuVp+PDhVqFCBcuVK5ddeOGFtnjx4jT3nzhxolWpUsXtX6NGDZsxY0bI457nWf/+/a1kyZKWO3dua9asmW3YsCFkn19//dVuvvlmy58/vxUsWNC6dOliBw4cCNln5cqVdskll7j3KVu2rD333HN8wgAyVHrzQwAALNFbKCZMmGA9e/a0kSNHuovn0KFDrUWLFrZ+/Xo7++yzT9h/wYIF1qFDBxs4cKBdffXVNm7cOGvbtq0tW7bMqlev7vZRwf/ll1+2N9980ypWrGj9+vVzr7lmzRp3kRYFE9u3b7dZs2bZkSNHrHPnzta1a1f3erJv3z5r3ry5C0aUtlWrVtntt9/ugg/tl5nioXk8o2aAotkd8SS9+WGiiecB0QCA/0ny1DyQDrpo1q9f31555RV3//jx46414L777rPevXufsH+7du3s999/t+nTpwe2XXTRRVa7dm13EdbblypVynr16mUPPvige3zv3r1WvHhxGzt2rLVv397Wrl1rVatWtSVLlli9evXcPjNnzrSrrrrKfvrpJ/f8ESNG2GOPPWY7duywHDlyuH2UnilTpti6detO6dgUlBQoUMC9v1pCwr1YJmpAkVzygCIjp5ylyR2n81sOV3rzw0ilM1JiOaCIVD4eLd2eokEs5evx/lsGzmgLxeHDh+2rr76yPn36BLZlyZLFtQosXLgwxedou2rwgqkGTwV92bhxowsC9Bo+/Sh1odZzFVDor1oa/GBCtL/e+8svv7TrrrvO7XPppZcGggn/fZ599ln77bffrFChQiek7dChQ+7mU0bgZwyn4vihP9zfe7L9dSy+g8dO6elx7/jRv86P7+Cxw2k+fjpO9TOT6gM+soyw+okWGfK6CP/7kM76Esvo/PB085yM+u7iRMnzq8xyJvPFWJeefD0R8hwgbgKK3bt327Fjx1zrQTDdT60VQMFCSvtru/+4vy2tfZJ3H8iWLZsVLlw4ZB91l0r+Gv5jKQUU6ob1xBNPnLBdNYzp8b/iBEKNO8l5Cn38dBQYGvlzHw1pQKj9+/e7CoqMEE5+eKbyHGS8yOXrZy5fjHWxmKdmZJ4DRLOEnuVJNYvBrSfqrqDB30WKFLGkpCRLRKplUeFmy5YtNNtyrmOWagl1YVd3yETMcxL5d5zIx57oxx/JY4/WPAeIyoCiaNGiljVrVtu5c2fIdt0vUaJEis/R9rT29/9qm2Z5Ct5H4yz8fXbt2hXyGkePHnUX4uDXSel9gt8juZw5c7pbMHWtgrnMONEuRpHCuc4YGV1LGE5+mNl5TiJ/txL52BP9+CN17LRMIJGla9pYjU+oW7euzZ49O6SGTfcbNmyY4nO0PXh/0UxN/v7qpqSLb/A+qmXQ2Ah/H/3ds2eP66/smzNnjntvjbXw9/n000/dDFDB71O5cuUUuzsBwOkIJz8EACAepXsdCjXXjx492k3xqtmX7r77bjeLk6ZxlY4dO4YMUuzevbubkWnw4MGuX/Hjjz9uS5cutW7durnH1czfo0cPe/rpp23atGluule9hpoNNb2snH/++dayZUu788473RzvX3zxhXu+Bmz7zYv/+Mc/3AVe61N88803bjrHl1566YQB4QBwppwsPwQAICF4YRg2bJhXrlw5L0eOHF6DBg28RYsWBR5r0qSJ16lTp5D93333Xe+8885z+1erVs374IMPQh4/fvy4169fP6948eJezpw5vaZNm3rr168P2eeXX37xOnTo4OXLl8/Lnz+/17lzZ2///v0h+3z99dde48aN3WuULl3aGzRoUDiHl9AOHjzoDRgwwP0F5xqnlx9GSiL/jhP52BP9+BP52IFIS/c6FAAAAAAQdpcnAAAAAPARUAAAAAAIGwEFAAAAgLARUAAAAAAIGwFFAtBUvZqeN/hWpUqVwOMHDx60e++9163Wmy9fPvv73/9+wmJdmzdvttatW1uePHns7LPPtoceesgtLpjotPbJNddc46Yv1nmdMmVKyOOa86B///5u0cbcuXNbs2bNbMOGDSH7aIHGm2++2S3EpEXONPXxgQMHQvZZuXKlXXLJJZYrVy63Euxzzz2XKceH6DV8+HCrUKGC+05oPR5NqZ2WoUOHunV59D3Ud+iBBx5wv/14+82lZN68eVanTh23qODf/vY3Gzt2rMWi9B77pEmT7Morr7RixYq5/EXro3z00UcWq8L57H2abj5btmyBBXMBnFkEFAmiWrVqtn379sDt888/DzymgsX7779vEydOtPnz59u2bdvs+uuvDzx+7NgxF0wcPnzYFixY4Obc1wVZBeVEpzUHatWq5Qp3KVHB/+WXX7aRI0e6xRrz5s1rLVq0CCnIKZjQ2ilaiHH69Onuotm1a9eQhR6bN29u5cuXd4s7Pv/88y5IHDVqVKYcI6KP1tnRGhgDBgywZcuWue+gvle7du1Kcf9x48ZZ79693f5aL+Pf//63e41HH33U4u03l9zGjRtd/nX55ZfbihUr3LpHd9xxR0wWrNN77MpLFFDMmDHD5R06ByqQL1++3GJReo/fp4Vxtb5V06ZNMyxtQMKL9Ly1yHial7tWrVopPrZnzx4ve/bs3sSJEwPb1q5dq6mEvYULF7r7M2bM8LJkyeLt2LEjsM+IESPceiCHDh3KhCOIDTpnkydPDllfpUSJEt7zzz8fcr61Tso777zj7q9Zs8Y9b8mSJYF9PvzwQy8pKcnbunWru//qq696hQoVCjnXjzzyiFe5cuVMOjJEG613ce+99wbuHzt2zCtVqpQ3cODAFPfXvldccUXItp49e3oXX3yxF0+/uZQ8/PDDbv2jYO3atfNatGjhxfuxp6Rq1areE0884cW69By/Pu++ffumeS0EcHpooUgQ6majZuJzzjnH1YirC5Oo1urIkSOuK45P3aHKlStnCxcudPf1t0aNGla8ePHAPqoNVc25ataRes3ojh07Qs5tgQIFXPeU4HOrbk716tUL7KP9s2TJ4lo0/H0uvfRStxJ88Plfv369/fbbb5z+BKOWQv1ug79X+r7ovv+9Sq5Ro0buOX63qB9++MHVWl911VUW73ROgs+V//tJ7VzFs+PHj9v+/futcOHClijGjBnjvu9qnQOQcbJl4GsjSqgAqy5K6j+t7k5PPPGE64+/evVqV+BVQVWF2mAKHvSY6G9wMOE/7j+GlPnnJqVzF3xuNSYlmPr56oIfvE/FihVTPf+FChXiI0ggu3fvdt0QU/perVu3LsXn/OMf/3DPa9y4sRvXo/FPd911V0x2eUqv1PIvVYj8+eefbkxJonjhhRfc+KybbrrJEqUiTV39PvvsM5evAsg4/MISQKtWrQL/r1mzpgsw1B//3XffTaiLKZCoNCj5mWeesVdffdX9/r/77jvr3r27PfXUU9avX79IJw+ZQONoVJk0derUEyox4pGCbgXSOubzzjsv0skB4h4BRQJSa4QyWBUqNGBPXSg0aC24lUKzPJUoUcL9X3+TzyDjzwLl74MT+edG50qzPAWfO3+mEe2TfCCtao8181Pw+U8+6xbnP3EVLVrUsmbNmuJ3IrXfo4KGW2+91Q1GFnVh1ABXDf5/7LHHXJepeJXa70ezHiVKhcr48ePdZ6+JN5J3/4pX6tq1dOlSNwC9W7dugS5faqFTa8XHH39sV1xxRaSTCcSN+L2KIFVq8v7+++9dIbdu3bqWPXt2mz17duBx9c3XGAtNMSj6u2rVqpCCr2Yk0gW5atWqnOlUqJuSCjPB51bdLDQ2IvjcKphT/3bfnDlz3IVPNcn+PpqtRWNdgs+/urDR3SnxqIuifrfB3yt9X3Tf/14l98cff5wQNCgokb/Gt8YvnZPgc+X/flI7V/HmnXfesc6dO7u/mu0qUej6pOuWZvbyb+rmp3xT//fzVwBnyGkO6kYM6NWrlzdv3jxv48aN3hdffOE1a9bMK1q0qLdr1y73+F133eWVK1fOmzNnjrd06VKvYcOG7uY7evSoV716da958+beihUrvJkzZ3rFihXz+vTp4yW6/fv3e8uXL3c3/ZyGDBni/v/jjz+6xwcNGuQVLFjQmzp1qrdy5UqvTZs2XsWKFb0///wz8BotW7b0LrjgAu/LL7/0Pv/8c69SpUpehw4dQmaGKl68uHfrrbd6q1ev9saPH+/lyZPHe+211yJyzIg8fQc0W9jYsWPdTGFdu3Z13zN/JjZ9V3r37h3YX7PbnHXWWW52sR9++MH7+OOPvXPPPde76aabvHj7zem4dfw+Ha9+Lw899JCbwW748OFe1qxZXT4W78f+9ttve9myZXPHvH379sBNeUosSu/xJ8csT0DGIaBIAJoyr2TJkl6OHDm80qVLu/vfffdd4HEVbu+55x43NakuvNddd5276ATbtGmT16pVKy937twuGFGQcuTIES/RzZ07113Ykt86deoUmDq2X79+LiBQAbBp06be+vXrQ17jl19+cQFEvnz53FS8nTt3dhfOYF9//bXXuHFj9xr6DBWoILENGzbMVQTod61pZBctWhR4rEmTJoHvoOi3+vjjj7sgIleuXF7ZsmXdb/63337z4u03p786/uTPqV27tjtX55xzjjdmzBgvFqX32PX/tPZPhM8+GAEFkHGS9M+Zau0AAAAAkFgYQwEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAAAAAMJGQAEAAAAgbAQUAABkgssuu8zeeustzjWAuENAAQAAACBsBBQAAAAAwkZAgYTxzDPPWPny5S1//vzWsGFDW7lyZaSTBCCOLVmyxGrWrOnynLvuusuOHz8e6SQBQIYgoEDCqFKlii1dutR++eUXu/LKK61jx46RThKAOHX48GG7/vrr7e6773Z5TrVq1WzBggWRThYAZIgkz/O8jHlpIHodPHjQ8uTJY/v27bN8+fJFOjkA4sz8+fPttttus40bN7r7utSWK1fOBg4caLfcckukkwcAZxQtFEgYo0ePdrWEBQoUsBIlSrgLvGoOAeBM2759u5UpUyZwPykpKeQ+AMSTbJFOAJAZNm3aZD169HC1hnXq1LFDhw5Z3rx5XVABAGdayZIl7aeffgrZlvw+AMQLWiiQEA4cOGBZsmSxYsWK2dGjR23AgAGRThKAOKaJH44cOWKjRo1yf4cPH+5aLQAgHhFQICFUr17d/vnPf7oZVypUqGAVK1a0HDlyRDpZAOKU8pf33nvPhg0bZkWKFHGzyjVq1CjSyQKADMGgbAAAAABho4UCAAAAQNgIKAAAAACEjYACAAAAQNgIKAAAAACEjYACAAAAQNgIKAAAAACEjZWygxw/fty2bdtmZ511liUlJYV/VgFElFZA379/v5UqVcotaBityHOA+BAreQ6QUQgogiiYKFu2bIadbACZa8uWLVamTJmoPe3kOUB8ifY8B8goBBRB1DLhZwj58+fPsJMOIGPt27fPVQ74v+loRZ4DxIdYyXOAjEJAEcTv5qRggoACiH3R3nWRPAeIL9Ge5wAZhY5+AAAAAMJGC0WkzB3419/L+0QsCQAARO310cd1Eoh6tFAAAAAACBstFAAAIHpaJADEHFooAAAAAISNFgoAAJAxaH0AEgItFAAAAADCRgsFAADIFENnf3vK+/Zoel6GpgXAmUMLBQAAAICwEVAAAAAACBsBBQAAAIDYCyiGDx9uFSpUsFy5ctmFF15oixcvTnP/iRMnWpUqVdz+NWrUsBkzZgQeO3LkiD3yyCNue968ea1UqVLWsWNH27ZtWyYcCQAAAJC4IhJQTJgwwXr27GkDBgywZcuWWa1ataxFixa2a9euFPdfsGCBdejQwbp06WLLly+3tm3butvq1avd43/88Yd7nX79+rm/kyZNsvXr19u1116byUcGAAAAJJaIBBRDhgyxO++80zp37mxVq1a1kSNHWp48eeyNN95Icf+XXnrJWrZsaQ899JCdf/759tRTT1mdOnXslVdecY8XKFDAZs2aZTfddJNVrlzZLrroIvfYV199ZZs3b041HYcOHbJ9+/aF3ADgVAwcONDq169vZ511lp199tmukkMVGQAAJJpMDygOHz7sCvrNmjX7XyKyZHH3Fy5cmOJztD14f1GLRmr7y969ey0pKckKFiyYZoFAwYh/K1u2rGXKIj8s9APEvPnz59u9995rixYtchUa6nrZvHlz+/333yOdNAAA4nsdit27d9uxY8esePHiIdt1f926dSk+Z8eOHSnur+0pOXjwoBtToW5S+fPnTzUtffr0cV2vfGqhyJSgAkDMmzlzZsj9sWPHupYKVZhceumlEUsXEHdSqoS7vE8kUgIgURa2Uy2huj55nmcjRoxIc9+cOXO6GwCcLrWKSuHChdPsZqmbj26WAIB4kOldnooWLWpZs2a1nTt3hmzX/RIlSqT4HG0/lf39YOLHH390XRDSap0AgDPl+PHj1qNHD7v44outevXq0dXNEgCAeAsocuTIYXXr1rXZs2eHXIx1v2HDhik+R9uD9xcFDMH7+8HEhg0b7JNPPrEiRYpYzGBcBRDTNJZCs86NHz8+zf3UzVItGf5ty5YtmZZGAADiqsuTxi106tTJ6tWrZw0aNLChQ4e6gYya9Um0hkTp0qVdbZ50797dmjRpYoMHD7bWrVu7i/bSpUtt1KhRgWDihhtucFPGTp8+3Y3R8MdXqPuBghgAyAjdunVz+c6nn35qZcqUSXNfulkCAOJRRAKKdu3a2c8//2z9+/d3Bf/atWu7AY7+wGtN9aqZn3yNGjWycePGWd++fe3RRx+1SpUq2ZQpUwJdC7Zu3WrTpk1z/9drBZs7d65ddtllFnHM7ATEFY3Tuu+++2zy5Mk2b948q1ixYqSTBABAYg3KVq2ebinRxTm5G2+80d1SohW3dXEHgMzs5qSKjqlTp7q1KPxWUY2NyJ07Nx8EACBhRGRhOwSh5QKISZpFTuMg1AJasmTJwG3ChAmRThoAAJkq7qaNBYDMQKsoAAB/oYUCAAAAQNhooQAAAGcG3XiBhEQLBQAAAICw0UIBAACiztDZ36b+2EcfhNzfNKh1JqQIQGpooQAAAAAQNgIKAAAAAGEjoAAAAAAQNgIKAAAAAGEjoAAAAAAQNgIKAAAAAGEjoAAAAAAQNgIKAAAAAGFjYbvMMHdgprwNAACJoEe2/ybbwsJ2QCTRQgEAAAAgbAQUAAAAAMJGQAEAAAAgbIyhAAAA4Zk70IbO/pazByQ4WigAAAAAhI2AItpmg2JGKAAAAMQQujxlkvQ0Cfe4PEOTAgAAAJwxtFAAAAAAiL2AYvjw4VahQgXLlSuXXXjhhbZ48eI09584caJVqVLF7V+jRg2bMWNGyOOTJk2y5s2bW5EiRSwpKclWrFiRwUcAAACiqsswXYeBxAkoJkyYYD179rQBAwbYsmXLrFatWtaiRQvbtWtXivsvWLDAOnToYF26dLHly5db27Zt3W316tWBfX7//Xdr3LixPfvss5l4JAAS2aeffmrXXHONlSpVylVkTJkyJdJJAgAgMQKKIUOG2J133mmdO3e2qlWr2siRIy1Pnjz2xhtvpLj/Sy+9ZC1btrSHHnrIzj//fHvqqaesTp069sorrwT2ufXWW61///7WrFmzU07HoUOHbN++fSE3ADhVqshQhYhaXAEASFSZHlAcPnzYvvrqq5CCf5YsWdz9hQsXpvgcbU8eKKhFI7X9T9XAgQOtQIECgVvZsmVP6/UAJJZWrVrZ008/bdddd12kkwIAQOIEFLt377Zjx45Z8eLFQ7br/o4dO1J8jranZ/9T1adPH9u7d2/gtmXLltN6PQBIC62iAIB4lNCzPOXMmdPy588fcgOAjEKrKAAgHmX6OhRFixa1rFmz2s6dO0O2636JEiVSfI62p2f/mOcvbnd5n0inBMAZpFZRTUjh07gtuloi2lTo/cEp79sj26mvsQQgfmV6C0WOHDmsbt26Nnv27MC248ePu/sNGzZM8TnaHry/zJo1K9X9ASAa0SoKAIhHEVkpWzV0nTp1snr16lmDBg1s6NChbrYUzfokHTt2tNKlS7vuAdK9e3dr0qSJDR482Fq3bm3jx4+3pUuX2qhRowKv+euvv9rmzZtt27Zt7v769evdX7VixG1LBgAAAJCIAUW7du3s559/dtO8amB17dq1bebMmYGB1woMNPOTr1GjRjZu3Djr27evPfroo1apUiU333v16tUD+0ybNi0QkEj79u3dX6118fjjj2fq8QFIDAcOHLDvvvsucH/jxo1uUc3ChQtbuXLlIpo2AADiOqCQbt26uVtK5s2bd8K2G2+80d1Sc9ttt7kbAGQWtZRefvnlgfv++Ai1wI4dO5YPAgCQECIWUABArLvsssvM87xIJwPIFD2y/ZczDSBFCT1tLAAAAIDTQ0ABAAAAIGx0eQIAADFt6OzQ9TCGfpT6WhqbBrXOhBQBiYUWCgAAAABho4UiA1cTZQAbAAAA4h0tFAAAAADCRkARzeb+tVI4AAAAEK0IKAAAAACEjTEUAADgBIwDBHCqaKEAAAAAEDZaKKJ8Pu205tIW5tMGAABAJNFCAQAAACBsBBQAAAAAwkZAEQOD4hgYBwAAgGjFGAoAABBY+6hHtv+N4wOAU0ELBQAAAICw0UIBAECcq9A77RkD461lInlX4aFHb4hYWoBEQAsFAAAAgLDRQpEBGEQNAECUXpfnrvzr7+V9IpYeIN4QUAAAkICo/AJwptDlKUYwfSwAAACiES0UCTDQzrdpUOsMTQsAAAAST8QCiuHDh9vzzz9vO3bssFq1atmwYcOsQYMGqe4/ceJE69evn23atMkqVapkzz77rF111VWBxz3PswEDBtjo0aNtz549dvHFF9uIESPcvgAQLXkZEIkKJfzP0Nl/zWY19KOTnz8q4oAo7vI0YcIE69mzpwsAli1b5i7CLVq0sF27dqW4/4IFC6xDhw7WpUsXW758ubVt29bdVq9eHdjnueees5dfftlGjhxpX375peXNm9e95sGDB+OyWxJ9X4HIS29eBkSKf30KvgHAmZLkqWo/k1144YVWv359e+WVV9z948ePW9myZe2+++6z3r17n7B/u3bt7Pfff7fp06cHtl100UVWu3ZtF0DoEEqVKmW9evWyBx980D2+d+9eK168uI0dO9bat2+fYjoOHTrkbj49p1y5crZlyxbLnz//SY+j+oCPQu7fk22KRcKrR9taJK1+okVE3x9Ibt++fS5PUWtlgQIFoiYvO908B9Ejef5/pvLI9LxuWtef5NeFSF2fYklK19JT/ewyK88BopaXyQ4dOuRlzZrVmzx5csj2jh07etdee22Kzylbtqz34osvhmzr37+/V7NmTff/77//XkGRt3z58pB9Lr30Uu/+++9PNS0DBgxwz+PGOeA7EJ/fgS1btnjRlJeR50T+O8GNcxCreQ4QzTJ9DMXu3bvt2LFjrvUgmO6vW7cuxeeob3JK+2u7/7i/LbV9UtKnTx/XXcGnmoXy5cvb5s2b466Gwa89icea0Hg9tng9rsw4NrVa7t+/37VcRlNeljzPUYvGr7/+akWKFLGkpKQznsZ4/g5FAueT8xnJPAeIZgk9y1POnDndLTkFE/F68dVxcWyxhc8sPNFYKZBSnlOwYMEMf994/g5FAueT8xkreQ4Qt4OyixYtalmzZrWdO3eGbNf9EiVKpPgcbU9rf/9vel4TADI7LwMAIB5lekCRI0cOq1u3rs2ePTuk2V/3GzZsmOJztD14f5k1a1Zg/4oVK7oLePA+aprWbE+pvSYAZHZeBgBAPIpIlyf1Ie7UqZPVq1fPzdc+dOhQN4tT586d3eMdO3a00qVL28CBA9397t27W5MmTWzw4MHWunVrGz9+vC1dutRGjRrlHlff4x49etjTTz/t1p1QgKE1K9SXUdPLnip1RdD0jyl1g4p1HFvs4TOLfifLyyItnr9DkcD55HwCiKJpY0XTLPqLQWn6V60hoSkY5bLLLrMKFSq4KV+DF7br27dvYGE7rTuR0sJ2CjI0uLpx48b26quv2nnnnReJwwOQINLKywAASAQRCygAAAAAxL6IrJQNAAAAID4QUAAAAAAIGwEFAAAAgLARUAAAAAAIGwFFkOHDh7vZpXLlyuVmaVm8eLFFM02rW79+fTvrrLPs7LPPdlPkrl+/PmSfgwcP2r333mtFihSxfPny2d///vcTFuLavHmzm443T5487nUeeughO3r0qEWLQYMGBaYGjofj2rp1q91yyy0u7blz57YaNWq4aZB9miehf//+VrJkSfd4s2bNbMOGDSGv8euvv9rNN9/sVuzVSstdunSxAwcOWCQdO3bMTdesaZuV7nPPPdeeeuopdzyxfmzR7NNPP7VrrrnGTZOt38mUKVNCHte569atm5UpU8ad86pVq9rIkSMjlt54OKfKa2677Tb3uPKXli1bnvA9xpm/VgGIXgQU/9+ECRPcnPKaenbZsmVWq1Yta9Gihe3atcui1fz5810GvGjRIrfQ35EjR6x58+ZuHnzfAw88YO+//76bdlf7b9u2za6//vqQQqAK3YcPH7YFCxbYm2++6abrVaEvGixZssRee+01q1mzZsj2WD2u3377zS6++GLLnj27ffjhh7ZmzRq3vkqhQoUC+2hKZE09qkKfFmfMmzev+y7qgutTgfubb75xn/v06dNdAahr164WSc8++6yNGDHCTaO6du1ad1/HMmzYsJg/tmim37vyK1WIpET52syZM+2tt95yn4sCcwUY06ZNy/S0xsM5VVCsAvEPP/xgU6dOteXLl1v58uVdcByc9+LMXqsARDlNGwvPa9CggXfvvfcGTsWxY8e8UqVKeQMHDoyZ07Nr1y5VBXvz58939/fs2eNlz57dmzhxYmCftWvXun0WLlzo7s+YMcPLkiWLt2PHjsA+I0aM8PLnz+8dOnTIi6T9+/d7lSpV8mbNmuU1adLE6969e8wf1yOPPOI1btw41cePHz/ulShRwnv++ecD23S8OXPm9N555x13f82aNe5YlyxZEtjnww8/9JKSkrytW7d6kdK6dWvv9ttvD9l2/fXXezfffHPMH1us0LmbPHlyyLZq1ap5Tz75ZMi2OnXqeI899lgmpy4+zun69evdttWrV4dcL4oVK+aNHj06QqmMLeFcqwBEN1oozFwt9ldffeVqmHxZsmRx9xcuXBjJeC9d9u7d6/4WLlzY/dUxqSYo+LiqVKli5cqVCxyX/qrLTfHixQP7qMZ43759rpY4klSjpVaG4PTH+nGpVlirKt94442u6f+CCy6w0aNHBx7fuHGjWyAt+NgKFCjguuAFH5u6Aul1fNpf31nV+kdKo0aNbPbs2fbtt9+6+19//bV9/vnn1qpVq5g/tlimz0XfO3W1U/l47ty57jNSDTHS79ChQ+6vusb69P3UKtr6viNjrlUAolu2SCcgGuzevdt1kQkufIrur1u3zmLB8ePHXVcGdaepXr2626bCW44cOVwBLflx6TF/n5SO238sUsaPH++6nqnLU3KxfFzqJqFuQeqG8uijj7rju//++93xdOrUKZC2lNIefGwKRoJly5bNXZwjeWy9e/d2AZsKAlmzZnW/qX/961+uC5PE8rHFMnU5U5cxjaHQuVThV0HspZdeGumkxSS/oNunTx/XHVPd9l588UX76aefbPv27ZFOXtxeqwBENwKKOKHa/NWrV8dFDdmWLVuse/furq9tcC1gvFxMVfv+zDPPuPtqodDnpjEFCihi2bvvvmtvv/22jRs3zqpVq2YrVqxwBQcNXI31Y4v1gEJ919VKob7+GpOi/EKfS/LWP5ycxj9NmjTJTRagQFfBs86jWuKCJyBA/F+rAPwPXZ7MrGjRou6ikHxGCd0vUaKERTsNsNTgVXVlUC2kT2lXd649e/akelz6m9Jx+49Fgpq/NRi+Tp06rkZVNw3S02Be/V+1VrF4XKLZjTTLTrDzzz/fzUgVnLa0vov6m3yyAM1epdmRInlsmkVLrRTt27d33c1uvfVWN9BSM7zE+rHFqj///NO1hA0ZMsTNWqTJDZRftGvXzl544YVIJy9m1a1b1wXMyoPUKqFB77/88oudc845kU5a3F6rAEQ3Agoz19SqC4T6fwfXJOt+w4YNLVqpNkwZ9OTJk23OnDluus5gOibVpgUfl6bqU+HVPy79XbVqVUghTi0DmrIzecE3szRt2tSlSRds/6ZafXWd8f8fi8clauZPPl2i+rOr5lj0GeoCGnxs6kak8QPBx6YLrwIvnz5/fWc1HiFS/vjjD9edJpgCdaUr1o8tVqlfum5pfS4In8YAFStWzE0Zq6mf27Rpw+nMoGsVgCgX6VHh0WL8+PFutpmxY8e6mWa6du3qFSxYMGSWoGhz9913ewUKFPDmzZvnbd++PXD7448/AvvcddddXrly5bw5c+Z4S5cu9Ro2bOhuvqNHj3rVq1f3mjdv7q1YscKbOXOmm62kT58+XjQJnuUplo9r8eLFXrZs2bx//etf3oYNG7y3337by5Mnj/fWW28F9hk0aJD77k2dOtVbuXKl16ZNG69ixYren3/+GdinZcuW3gUXXOB9+eWX3ueff+5mw+rQoYMXSZ06dfJKly7tTZ8+3du4caM3adIkr2jRot7DDz8c88cWzTQb2vLly91NWfqQIUPc/3/88cfAb0czPc2dO9f74YcfvDFjxni5cuXyXn311UgnPWbP6bvvvuvO5/fff+9NmTLFK1++vJvRDBl3rQIQ3QgoggwbNsxlaDly5HDTyC5atMiLZrrQpXRTgcGngto999zjFSpUyBVcr7vuOpeRB9u0aZPXqlUrL3fu3K4A2KtXL+/IkSNeNAcUsXxc77//vgt2FMBWqVLFGzVqVMjjml61X79+XvHixd0+TZs2dVNVBvvll19cITtfvnxuKtzOnTu7QlAk7du3z31G+g2pwHrOOee4qUmDp+mN1WOLZirYppQPKMAT/S5uu+02Nw22PpfKlSt7gwcPdp8FwjunL730klemTBk31am+73379o34NNuJcK0CEL2S9E+kW0kAAAAAxCbGUAAAAAAIGwEFAAAAgLARUAAAAAAIGwEFAAAAgLARUAAAAAAIGwEFAAAAgLARUAAAAAAIGwEFAAAAgLARUAAAAAAIGwEFAAAAgLARUAAAAACwcP0/N1vmoIBqa1UAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p3.iloc[:, i], bins=20, density=True)\n", " plt.hist(p4.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 23, "id": "d9456256-5552-4601-9f30-7c8ea7dc35da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p3.iloc[:, i], p4.iloc[:, i], \".\", markersize=1)\n", " plt.title(pnames[i], fontsize=\"small\")\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cba022ab-0642-4b83-a9ee-2fbb7ba55c1c", "metadata": {}, "source": [ "The parameters estimated without a noise model are sometimes significantly different from parameters estimated with a noise model. Below, it is computed how many times the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The largest deviation is indeed for the parameters $n$ and $a$ as could also be seen from the graphs above. " ] }, { "cell_type": "code", "execution_count": 24, "id": "4b556bc6-6090-42ce-8428-98731770eab1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([878, 225, 526, 902])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p3.values - p4.values[:, :-1]) < 1.96 * sig4.values[:, :-1]).sum(0)" ] } ], "metadata": { "kernelspec": { "display_name": "pastas", "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": "3.12.12" }, "mystnb": { "execution_mode": "off" } }, "nbformat": 4, "nbformat_minor": 5 }