diff --git a/.gitignore b/.gitignore index a425998..6a2cb9d 100644 --- a/.gitignore +++ b/.gitignore @@ -31,6 +31,7 @@ env/ *.gz tt.ipynb tt.py +tt/ *.png *.pdf *.jpeg diff --git a/examples/chap_02.ipynb b/examples/chap_02.ipynb index da437f8..148b253 100644 --- a/examples/chap_02.ipynb +++ b/examples/chap_02.ipynb @@ -170,7 +170,7 @@ " edge_color='gray',\n", " figsize=(5, 5),\n", " seed=1,\n", - " title=\"Random DGraph with {} nodes and {}% edge connection\".format(num_nodes, probability*100))\n" + " title=\"Random DGraph with {} nodes and {}% edge connection\".format(num_nodes, probability*100));" ] }, { @@ -249,6 +249,16 @@ "A->C->F\n" ] }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { "image/png": 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", @@ -539,7 +549,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -551,9 +561,7 @@ "Number of nodes : 5\n", "Number of edges : 9\n", "Average degree : 3.6000\n", - "Connectivity : connected\n", - "Diameter : 2\n", - "Average clustering coefficient : 0.900000\n" + "Connectivity : connected\n" ] } ], @@ -571,8 +579,22 @@ } ], "metadata": { + "kernelspec": { + "display_name": "ML", + "language": "python", + "name": "python3" + }, "language_info": { - "name": "python" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.18" } }, "nbformat": 4, diff --git a/examples/chap_04.ipynb b/examples/chap_04.ipynb index 7380ba3..2876385 100644 --- a/examples/chap_04.ipynb +++ b/examples/chap_04.ipynb @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -61,22 +61,12 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 91, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", 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" ] @@ -125,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -149,12 +139,12 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -183,6 +173,39 @@ "plt.ylabel(\"pk\");" ] }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating best minimal value for power law fit\n", + " α = 4.458, σ = ± 0.471\n", + "Calculating best minimal value for power law fit\n", + " α = 3.336, σ = ± 0.297\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Values less than or equal to 0 in data. Throwing out 0 or negative values\n", + "Values less than or equal to 0 in data. Throwing out 0 or negative values\n" + ] + } + ], + "source": [ + "# find the exponent by fitting a power law by powerlaw package\n", + "import powerlaw\n", + "\n", + "for x in [k_in, k_out]:\n", + " fit = powerlaw.Fit(x) # xmax=50 we can constrain the max value for fitting\n", + " print(f\" α = {fit.power_law.alpha:6.3f}, σ = ± {fit.power_law.sigma:6.3f}\") # the exponent" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -192,7 +215,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -216,7 +239,7 @@ "-----------\n", "value: np.array\n", " powerlaw distribution\n", - "\u001b[0;31mFile:\u001b[0m ~/git/workshops/network_science/netsci/netsci/utils.py\n", + "\u001b[0;31mFile:\u001b[0m ~/git/workshops/netsci/netsci/utils.py\n", "\u001b[0;31mType:\u001b[0m function" ] } @@ -227,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -242,13 +265,13 @@ "parameters :\n", " N: int\n", " number of samples in powerlaw distribution (pwd).\n", - " e: \n", + " a: \n", " exponent of the pwd.\n", " xmin: \n", " min value in pwd.\n", " xmax: \n", " max value in pwd.\n", - "\u001b[0;31mFile:\u001b[0m ~/git/workshops/network_science/netsci/netsci/utils.py\n", + "\u001b[0;31mFile:\u001b[0m ~/git/workshops/netsci/netsci/utils.py\n", "\u001b[0;31mType:\u001b[0m function" ] } @@ -266,7 +289,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -291,19 +314,19 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1.0009632650699485 25.026683950827046\n" + "1.000035809608483 74.39513593875918\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -315,7 +338,7 @@ "source": [ "np.random.seed(2)\n", "\n", - "N = 1000\n", + "N = 10000\n", "a = 3.0\n", "xmin = 1\n", "xmax = 100\n", @@ -328,7 +351,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -336,8 +359,8 @@ "output_type": "stream", "text": [ "Calculating best minimal value for power law fit\n", - "fit.power_law.alpha=np.float64(2.971341605276792)\n", - "fit.power_law.sigma=np.float64(0.09251964578486563)\n" + "fit.power_law.alpha=2.995340848455978\n", + "fit.power_law.sigma=0.02600579145725683\n" ] } ], @@ -357,45 +380,83 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import numpy as np\n", + "from scipy.special import zeta\n", + "\n", + "def power_law_discrete(gamma, k_min, k_max, size=1):\n", + " \"\"\"\n", + " Generate discrete random numbers from a power-law distribution.\n", + " \n", + " Parameters:\n", + " gamma (float): The power-law exponent\n", + " k_min (int): The minimum possible value of k\n", + " k_max (int): The maximum possible value of k\n", + " size (int): The number of samples to generate\n", + " \n", + " Returns:\n", + " numpy.array: An array of discrete random numbers following the power-law distribution\n", + " \"\"\"\n", + " # Calculate the normalization constant\n", + " norm = zeta(gamma, k_min) - zeta(gamma, k_max + 1)\n", + " print(norm)\n", + " \n", + " # Generate uniform random numbers\n", + " u = np.random.random(size=size)\n", + " \n", + " # Initialize the result array\n", + " result = np.zeros(size, dtype=int)\n", + " \n", + " # Inverse transform sampling\n", + " for i in range(size):\n", + " cdf = 0\n", + " for k in range(k_min, k_max + 1):\n", + " cdf += (k ** -gamma) / norm\n", + " if u[i] <= cdf:\n", + " result[i] = k\n", + " break\n", + " \n", + " return result" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.34146619120465\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Example usage\n", + "gamma = 2.5 # Power-law exponent\n", + "k_min = 1 # Minimum value of k\n", + "k_max = 1000 # Maximum value of k\n", + "size = 100000 # Number of samples\n", + "\n", + "samples = power_law_discrete(gamma, k_min, k_max, size)\n", + "fig, ax = plt.subplots(1, figsize=(6,4))\n", + "plot_distribution(samples, size, gamma, k_min, ax)\n", + "# You can now analyze or plot these samples" + ] }, { "cell_type": "code", @@ -433,7 +494,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -441,15 +502,22 @@ "output_type": "stream", "text": [ "Calculating best minimal value for power law fit\n", - "fit.power_law.alpha=np.float64(2.971341605276792)\n", - "fit.power_law.sigma=np.float64(0.09251964578486563)\n", + "xmin progress: 00%\r" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fit.power_law.alpha=2.995340848455978\n", + "fit.power_law.sigma=0.02600579145725683\n", "----------------------------------------------------------------------\n", - "(np.float64(56.01548271676191), np.float64(0.0005470709253119331))\n" + "(894.9727455051284, 5.263968413468816e-22)\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -472,12 +540,12 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -519,7 +587,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.9" + "version": "3.8.18" } }, "nbformat": 4, diff --git a/netsci/plot.py b/netsci/plot.py index 2ce4597..f168455 100644 --- a/netsci/plot.py +++ b/netsci/plot.py @@ -38,6 +38,9 @@ def plot_graph(G, **kwargs): Size of the figure. ax: axes object Axes object to draw the plot on. Defaults to None, which will create a new figure. + pos: object, optional + Graph layout (e.g., nx.spring_layout, nx.circular_layout), nx.kamada_kaway_layout(G). + Defaults to nx.spring_layout(G). """ @@ -54,18 +57,19 @@ def plot_graph(G, **kwargs): edge_labels = kwargs.get("edge_labels", None) figsize = kwargs.get("figsize", (4, 4)) ax = kwargs.get("ax", None) + pos = kwargs.get("pos", None) if ax is None: fig, ax = plt.subplots(1, figsize=figsize) ax.axis("off") if seed is not None: - np.random.seed(seed) # Set the random seed for reproducibility + np.random.seed(seed) - # Position nodes using a layout algorithm - pos = nx.spring_layout( - G, seed=seed - ) # You can choose other layouts like nx.circular_layout(G) or nx.kamada_kaway_layout(G) + if pos is None: + pos = nx.spring_layout( + G, seed=seed + ) # Draw the network nx.draw( diff --git a/netsci/utils.py b/netsci/utils.py index afc43e1..b7774b1 100644 --- a/netsci/utils.py +++ b/netsci/utils.py @@ -3,6 +3,9 @@ import json import numpy as np import networkx as nx +from numpy import power +from cycler import cycler +from scipy.optimize import bisect try: import powerlaw @@ -95,7 +98,7 @@ def show_sample_graphs(): return data -def generate_power_law_dist_bounded(N:int, a:float, xmin:float, xmax:float): +def generate_power_law_dist_bounded(N:int, a:float, xmin:float, xmax:float, seed:int=-1): ''' Generate a power law distribution of floats p(k) ~ x^(-a) for a>1 which is bounded by xmin and xmax @@ -147,4 +150,137 @@ def generate_power_law_dist(N:int, a:float, xmin:float): # generates random variates of power law distribution vrs = powerlaw.Power_Law(xmin=xmin, parameters=[a]).generate_random(N) - return vrs \ No newline at end of file + return vrs + +def generate_power_law_discrete( + N:int, a:float, xmin:float, xmax:float, seed: int = -1 + ): + """ + Generate a power law distribution of p(k) ~ x^(-a) for a>1, + with discrete values. + + Parameters: + ----------- + N: int + Number of samples in the distribution. + a: float + Exponent of the power law distribution. + xmin: float + Minimum value in the power law distribution. + xmax: float + Maximum value in the power law distribution. + seed :int, optional + Seed for reproducibility. Defaults to -1. + + Returns: + ------- + np.array + Power law distribution with discrete values. + """ + + if seed!= -1: + np.random.seed(seed) + + if seed != None: + np.random.seed(seed) + + X = np.zeros(N, dtype=int) + x1p = power(xmax, (a + 1.0)) + x0p = power(xmin, (a + 1.0)) + alpha = 1.0/(a + 1.0) + + for i in range(N): + r = np.random.rand() + X[i] = int(np.round(power(((x1p - x0p)*r + x0p), alpha))) + + #sum of degrees should be positive + from random import randint + if ((np.sum(X)%2 )!= 0): + i = randint(0, N-1) + X[i] = X[i]+1 + + return X + + +def tune_min_degree( + N:int, a:float, xmin:int, xmax:int, max_iteration:int=100 + ): + ''' + Find the minimum degree value of a power law graph that results in a connected graph + ''' + + for i in range(max_iteration): + seq = generate_power_law_discrete(N, a, xmin, xmax, seed=i) + if np.sum(seq) % 2 != 0: + raise ValueError("The sum of degrees should be even") + G = nx.configuration_model(seq) + G.remove_edges_from(G.selfloop_edges()) + G = nx.Graph(G) + seq1 = np.asarray([deg for (node, deg) in G.degree_iter()]) + avg_degree = np.mean(seq1) + + if nx.is_connected(G): + break + if i == (max_iteration-1): + raise ValueError("Unable to find a connected graph with the given parameters") + return avg_degree, G + +def make_powerlaw_graph( + N: int, a: float, avg_degree:int, xmin:int=1, xmax:int=10000, + seed: int = -1, xtol=0.01, degree_interval=5.0, plot=False, + **kwargs + ): + + ''' + make a powerlaw graph with the given parameters + + Parameters + ---------- + N: + number of nodes + a: float + exponent of the power law distribution + avg_degree: + expected average degree + xmin: int, optional + minimum value in the power law distribution. Default is 1. + xmax: int, optional + maximum value in the power law distribution. Default is 10000. + seed: int, optional + Seed for reproducibility. Default is -1. + xtol: float, optional + tolerance for bisection method. Default is 0.01. + degree_interval: float, optional + interval for bisection method. Default is 5.0. + plot: bool, optional + If True, plot the power law distribution. Default is False. + kwargs: obtional + additional keyword arguments for plot_pdf function. + + ''' + + color = kwargs.get('color', 'k') + linestyle = kwargs.get('linestyle', '-') + lw=kwargs.get('lw', 2) + + xmin_tuned, G = bisect(lambda x: tune_min_degree( + N, a, x, xmax) - avg_degree, xmin, xmin+degree_interval, xtol=xtol) + sample_seq = np.asarray([deg for (node, deg) in G.degree_iter()]) + avg_degree = np.mean(sample_seq) + + fit = powerlaw.Fit(sample_seq, discrete=True) + if plot: + ax = fit.plot_pdf(linewidth=2, label=str('pdf, %.2f'% a)); + fit.power_law.plot_pdf(c=color, linestyle=linestyle, lw=lw, ax=ax); + + return { + "G": G, + "avg_degree": avg_degree, + "xmin_tuned": xmin_tuned, + "fit": fit, + "ax": ax, + } + + + + \ No newline at end of file