{ "cells": [ { "cell_type": "markdown", "id": "c113166b", "metadata": {}, "source": [ "{download}`Download this notebook <3_karate_club.ipynb>`" ] }, { "cell_type": "markdown", "id": "463f8e19", "metadata": {}, "source": [ "## Zachary's karate club\n", "> **`gradnet` concepts demonstrated below**\n", "> - Initial adjacency A₀ - optimal modifications of an existing network \n", "> - Edge removal `delta_sign=\"nonpositive\"`\n", "> - Restricted signs of final edgeweights `final_sign=\"nonnegative\"`\n", "> - Dynamical loss with ODE integration\n", "> - Checkpointing\n", "### Problem setup\n", "Zachary's karate club is a classic social network of 34 members whose friendships were recorded by Wayne Zachary in the 970s. A conflict between the instructor and the club president eventually caused the club to split into two factions, making it a standard example for community detection.\n", "\n", "In this tutorial, we take an opinion dynamics view: the instructor and president hold fixed, opposing opinions that diffuse through the network. Friendships then rewire to reduce social dissonance, favoring ties between members with similar opinions, which subsequently splits the graph in two components.\n", "\n", "The opinion dynamics is given by a simple **diffusion** process\n", "$$\\dot o(t) = -\\,L\\,o(t).$$\n", "Here $L$ is the Laplacian, defined as $L = D - A$ with adjacency matrix $A$ and the diagonal matrix of node degrees $D_{ii}=\\sum_j A_{ij}$. The opinions of the president and the instructor are fixed $o_1(t)=1,\\;o_N(t)=-1$. The **social dissonance** is measured by the weighted sum of disagreements with friends:\n", "$$\n", "\\mathcal{D} = \\frac{\\sum_{i,j} A_{ij}\\,\\big(o_i - o_j\\big)^2}{\\sum_{i,j} A_{ij}}.\n", "$$" ] }, { "cell_type": "markdown", "id": "36d9e66e", "metadata": {}, "source": [ "### Install\n", "install the required dependencies silently" ] }, { "cell_type": "code", "execution_count": 1, "id": "fa6fdd0b", "metadata": {}, "outputs": [], "source": [ "%%capture\n", "!pip install 'gradnet[examples]'" ] }, { "cell_type": "markdown", "id": "8fef857b", "metadata": {}, "source": [ "### GradNet optimization" ] }, { "cell_type": "code", "execution_count": 2, "id": "5729e4e9", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/guga/D/University/UWyo/Network_Optimization/GradNet/gradnet/src/gradnet/gradnet.py:106: RuntimeWarning: delta_sign and final_sign request opposite cones; final projection may violate delta_sign and strict budget behavior.\n", " warnings.warn(\n", "GPU available: True (mps), used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "03d51d7cc70b4fcd8046e272a4b04254", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Updates: 0%| | 0/250 [00:00 0).astype(float) # mask every non-existant edge\n", "\n", "N = len(karate_net)\n", "budget = None # no restriction on budget.\n", "\n", "gn = GradNet(num_nodes=N, adj0=adj0, mask = mask, delta_sign=\"nonpositive\", final_sign=\"nonnegative\",\n", " budget=budget, rand_init_weights=0.0001, strict_budget=False)\n", "\n", "\n", "def do_dt(t, o, A):\n", " '''Diffusion of opinions with fixed opinion leaders '''\n", " L = torch.diag(A.sum(dim=1)) - A\n", " do = - L@o\n", " do[0] = 0\n", " do[-1] = 0\n", " return do\n", "\n", "def dissonans(adj, o):\n", " o_dif = (o.unsqueeze(-1)-o.unsqueeze(-2))**2\n", " return (adj*o_dif).sum()/adj.sum()\n", "\n", "def loss_fn(gn, relaxation_time=10):\n", " adj = gn()\n", "\n", " tt = torch.linspace(0, relaxation_time, 50) # time grid to evaluate the numerical solutions\n", " o0 = torch.zeros(N) # set the initial opinions to 0\n", " o0[0] = 1 # administrator\n", " o0[-1] = -1 # instructor\n", "\n", " tt, oo = integrate_ode(adj, f=do_dt, x0=o0, tt=tt) # integrate the ODE\n", " o = oo[-1]\n", " \n", " return dissonans(adj, o), {\"used_b\": gn.get_delta_adj().sum().item()} #compute dissonance\n", "\n", "_, best_ckpt = fit(gn=gn, loss_fn=loss_fn, num_updates=250, optim_kwargs={\"lr\": 0.01}, \n", " accelerator=\"cpu\", enable_checkpointing=True, \n", " checkpoint_dir=\"./karate_club_checkpoints\");\n", "\n", "gn_best = GradNet.from_checkpoint(best_ckpt)" ] }, { "cell_type": "code", "execution_count": 3, "id": "395d0d2d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Color nodes based on the club they joined after the split\n", "col = ['orange' if karate_net.nodes[nd]['club']== 'Mr. Hi' else 'green' for nd in range(N)]\n", "plot_graph(gn_best, node_size=100, edge_width_scaling=0.7, draw_kwargs={\"node_color\": col, \"edge_color\": (0,0,0,0.75),})" ] }, { "cell_type": "markdown", "id": "1810f885", "metadata": {}, "source": [ "The edges represent the friendships after the social dissonance has been minimized. You can see that the network has split into two factions. The node colors, on the other hand, represent the ground truth: which club member sided with who. The network split coming from the opinion diffusion model matches with the ground truth except for one member, who is usually misclassified by most other algorithms. " ] }, { "cell_type": "markdown", "id": "ac1dcd1a", "metadata": {}, "source": [ "### Compare it with the original network" ] }, { "cell_type": "code", "execution_count": 4, "id": "3e38a135", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/guga/D/University/UWyo/Network_Optimization/GradNet/gradnet/src/gradnet/gradnet.py:106: RuntimeWarning: delta_sign and final_sign request opposite cones; final projection may violate delta_sign and strict budget behavior.\n", " warnings.warn(\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gn = GradNet(num_nodes=N, adj0=adj0, mask = mask, delta_sign=\"nonpositive\", final_sign=\"nonnegative\",\n", " budget=budget, rand_init_weights=0, strict_budget=False)\n", "plot_graph(gn, node_size=100, edge_width_scaling=0.7, draw_kwargs={\"node_color\": col, \"edge_color\": (0,0,0,0.75),})" ] } ], "metadata": { "kernelspec": { "display_name": "torch", "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": "3.11.8" } }, "nbformat": 4, "nbformat_minor": 5 }