{ "cells": [ { "cell_type": "markdown", "id": "edc707c5", "metadata": {}, "source": [ "{download}`Download this notebook <1_algebraic_connectivity.ipynb>`" ] }, { "cell_type": "markdown", "id": "463f8e19", "metadata": {}, "source": [ "## Spectral optimization (algebraic connectivity)\n", "> **Main `gradnet` concepts demonstrated below**\n", "> - Configuring a `GradNet` model for network optimization\n", "> - Defining a **loss function**\n", "> - Training the network structure using `fit`\n", "> - Accelerator selection (**cpu/gpu**)\n", "> - **Learning rate** selection\n", "> - Extracting and visualizing the optimized networks\n", "> - Converting to **NetworkX**\n", "> - Using a **mask** to ignore forbidden edges (e.g., grid) \n", "\n", "### Problem setup\n", "The second Laplacian eigenvalue, also known as the algebraic connectivity of the network, is a quantitative measure of connectivity and robustness. It indicates how “tightly held together” a network is, governs how fast diffusion converges on it, and reveals natural partitions in its structure. We ask how to allocate finite edgeweight resources (the budget) on a 2D grid in order to maximize the algebraic connectivity." ] }, { "cell_type": "markdown", "id": "8d8b6f2d", "metadata": {}, "source": [ "### Install\n", "install the required dependencies silently" ] }, { "cell_type": "code", "execution_count": 2, "id": "1b29dc85", "metadata": {}, "outputs": [], "source": [ "%%capture\n", "!pip install 'gradnet[examples]'" ] }, { "cell_type": "markdown", "id": "8fef857b", "metadata": {}, "source": [ "### GradNet optimization" ] }, { "cell_type": "code", "execution_count": 3, "id": "5729e4e9", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "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": "37587af11f434211b1bd343e68352b06", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Updates: 0%| | 0/300 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "net = to_networkx(gn_grid)\n", "pos = {r * cols + c: (c, -r) for r in range(rows) for c in range(cols)}\n", "\n", "edge_w = np.fromiter(nx.get_edge_attributes(net, \"weight\").values(), dtype=float)\n", "\n", "fig, ax = plt.subplots(figsize=(3, 2.), dpi=300)\n", "nx.draw_networkx_edges(net, pos, ax=ax, edge_color=edge_w, edge_cmap=cmc.managua, width=1.5)\n", "nx.draw_networkx_nodes(net, pos, ax=ax, node_color=\"k\", node_size=1.6)\n", "ax.set_axis_off()\n", "\n", "sm = plt.cm.ScalarMappable(cmap=cmc.managua)\n", "sm.set_array(edge_w)\n", "fig.colorbar(sm, ax=ax, label=\"edge weight\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8d20486e", "metadata": {}, "source": [ "This indicates that, on a grid, edges near the center play a critical role and should be prioritized with more resources to enhance Algebraic Connectivity. In fact, the optimal weights of horizontal edges depends exclusively on their horizontal position in the grid, and vertical edge weights only depend on their vertical position.\n", "### Now plot horizontal edges only" ] }, { "cell_type": "code", "execution_count": 5, "id": "e522481f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/72/79vqt54j447byqmvb80g_n3w0000gn/T/ipykernel_97545/3821016335.py:9: DeprecationWarning: `alltrue` is deprecated as of NumPy 1.25.0, and will be removed in NumPy 2.0. Please use `all` instead.\n", " nx.draw_networkx_edges(net, pos, ax=ax, edgelist=h_edges, edge_color=h_w, edge_cmap=cmc.managua, width=1.5)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# horizontal edges only (same row -> same y in pos)\n", "h_edges = [(u, v) for (u, v) in net.edges() if pos[u][1] == pos[v][1]]\n", "h_w = np.array([net[u][v].get(\"weight\", np.nan) for (u, v) in h_edges], dtype=float)\n", "\n", "# fig, ax = plt.subplots(figsize=(6, 4.5))\n", "# nx.draw_networkx_edges(net, pos, ax=ax, edgelist=h_edges, edge_color=h_w, edge_cmap=cmc.managua, width=3)\n", "# nx.draw_networkx_nodes(net, pos, ax=ax, node_color=\"k\", node_size=3)\n", "fig, ax = plt.subplots(figsize=(3, 2.), dpi=300)\n", "nx.draw_networkx_edges(net, pos, ax=ax, edgelist=h_edges, edge_color=h_w, edge_cmap=cmc.managua, width=1.5)\n", "nx.draw_networkx_nodes(net, pos, ax=ax, node_color=\"k\", node_size=1.6)\n", "\n", "ax.set_axis_off()\n", "\n", "sm = plt.cm.ScalarMappable(cmap=cmc.managua)\n", "sm.set_array(h_w)\n", "fig.colorbar(sm, ax=ax, label=\"edge weight\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9c06c466", "metadata": {}, "source": [ "### Comparing optimal edge-weights to the analytical expectation (reference will be added soon) " ] }, { "cell_type": "code", "execution_count": 6, "id": "4c543c3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_horizontal_edgeweights(net):\n", " # Horizontal edges + their 1-based column location\n", " edges_h = [(u, v) for (u, v) in net.edges()\n", " if (u // cols == v // cols) and (abs(u - v) == 1)]\n", "\n", " xh_col = [min(u % cols, v % cols) + 1 for (u, v) in edges_h] # 1..cols-1\n", " wh = [net[u][v][\"weight\"] for (u, v) in edges_h]\n", "\n", " xx = np.linspace(0, cols, 400)\n", " yy = (3/2) * budget_per_node / ((rows - 1) * (rows + 1)) * xx * (rows - xx)\n", "\n", " plt.figure()\n", " plt.plot(xx, yy, label=\"analytic\", zorder=1, linewidth=3, color=\"darkorange\")\n", " plt.scatter(xh_col, wh, zorder=2, label=\"experiment\")\n", "\n", " plt.xlabel(\"column\")\n", " plt.ylabel(\"horizontal edge weight\")\n", " plt.xlim(0, cols)\n", " plt.grid(True, alpha=0.25)\n", " plt.legend()\n", " plt.tight_layout()\n", " plt.show()\n", "\n", "plot_horizontal_edgeweights(net)" ] }, { "cell_type": "markdown", "id": "25fbab06", "metadata": {}, "source": [ "### Sparse vs dense encodings\n", "Below we implement the same optimization task with sparse GradNet representation.\n", "Gradnet uses it's sparse backend whenever a sparse torch tensor is provided as a mask.\n", "Yet, torch.linalg.eigvalsh expects a dense matrix, but densifying the GradNet output is\n", "counterproductive. So we define the sparse alternative relying on the power method. \n", "For detailed theory see [1]." ] }, { "cell_type": "code", "execution_count": 7, "id": "31227b81", "metadata": {}, "outputs": [], "source": [ "# power method for finding λ₂ (avoids dense matrix operations)\n", "def sparse_loss(gn, n_iter=10000, eps=0.):\n", " A = gn() # sparse adjacency\n", " n = A.size(0)\n", "\n", " ones = torch.ones(n, 1, device=A.device, dtype=A.dtype)\n", " d = torch.sparse.mm(A, ones).squeeze(1)\n", " d_max = d.max().detach()\n", " c = 2.0 * d_max + eps\n", "\n", " with torch.no_grad():\n", " # random_seed(0)\n", " x = torch.randn(n, 1, device=A.device, dtype=A.dtype)\n", " x = x - x.mean()\n", " x = x / x.norm()\n", "\n", " for _ in range(n_iter):\n", " Ax = torch.sparse.mm(A, x)\n", " Lx = d.unsqueeze(1) * x - Ax\n", " y = c * x - Lx\n", " y = y - y.mean()\n", " x = y / y.norm()\n", "\n", " Ax = torch.sparse.mm(A, x)\n", " Lx = d.unsqueeze(1) * x - Ax\n", " lambda2 = (x.t() @ Lx) / (x.t() @ x)\n", " lambda2 = lambda2.squeeze()\n", "\n", " loss = 1.0 - lambda2\n", " return loss, {\"λ₂\": lambda2, \"c\": c}\n", "\n", "def make_sparse_grid_mask(rows, cols, device=None, dtype=None):\n", " n = rows * cols\n", " device = device or \"cpu\"\n", " dtype = dtype or torch.get_default_dtype()\n", " if n == 0:\n", " return torch.sparse_coo_tensor(torch.empty((2,0),dtype=torch.long,device=device),\n", " torch.empty((0,),dtype=dtype,device=device),\n", " (0,0)).coalesce()\n", " ids = torch.arange(n, device=device).view(rows, cols)\n", " a,b = ids[:, :-1].ravel(), ids[:, 1:].ravel()\n", " c,d = ids[:-1, :].ravel(), ids[1:, :].ravel()\n", " src = torch.cat([a,b,c,d]); dst = torch.cat([b,a,d,c])\n", " return torch.sparse_coo_tensor(torch.stack([src,dst]),\n", " torch.ones(src.numel(), device=device, dtype=dtype),\n", " (n,n)).coalesce()" ] }, { "cell_type": "markdown", "id": "5b87b627", "metadata": {}, "source": [ "Let us let us optimize 70*70=4900 node grid" ] }, { "cell_type": "code", "execution_count": 8, "id": "c13e995b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "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": "828ade7cb58b4d57a2a7fc9124765c5e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Updates: 0%| | 0/100 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "net = to_networkx(gn_sparse)\n", "plot_horizontal_edgeweights(net)" ] }, { "cell_type": "markdown", "id": "46631b94", "metadata": {}, "source": [ "Now let us run this optimization for various sized systems and observe how computation time scales.\n", "In order to accelerate the computations, we will perform just 5 iterations. The plots will be for more realistic 50 iterations. \n", "You can skip this cell to save time, next cell has the data in a list format already." ] }, { "cell_type": "code", "execution_count": null, "id": "e69c55a3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "l=10, sparse, time= 0.95737 s\n", "l=10, dense, time= 0.85152 s\n", "l=15, sparse, time= 1.14507 s\n", "l=15, dense, time= 1.21797 s\n", "l=20, sparse, time= 1.49741 s\n", "l=20, dense, time= 1.20950 s\n", "l=25, sparse, time= 1.93709 s\n", "l=25, dense, time= 1.68341 s\n", "l=30, sparse, time= 2.58147 s\n", "l=30, dense, time= 2.40908 s\n", "l=35, sparse, time= 3.44847 s\n", "l=35, dense, time= 3.34129 s\n", "l=40, sparse, time= 4.04532 s\n", "l=40, dense, time= 3.72016 s\n", "l=45, sparse, time= 5.04807 s\n", "l=45, dense, time= 7.40627 s\n", "l=50, sparse, time= 5.82292 s\n", "l=50, dense, time= 17.26017 s\n", "l=55, sparse, time= 6.83997 s\n", "l=55, dense, time= 32.59824 s\n", "l=60, sparse, time= 8.04761 s\n", "l=60, dense, time= 53.41051 s\n", "l=65, sparse, time= 9.38997 s\n", "l=65, dense, time= 74.64365 s\n", "l=70, sparse, time= 10.58996 s\n", "l=70, dense, time= 106.27724 s\n", "l=75, sparse, time= 12.21190 s\n", "l=75, dense, time= 135.10198 s\n", "l=80, sparse, time= 13.78168 s\n", "l=80, dense, time= 161.77623 s\n", "l=85, sparse, time= 15.48220 s\n", "l=85, dense, time= 232.14943 s\n", "l=90, sparse, time= 17.28782 s\n", "l=90, dense, time= 299.51368 s\n", "l=95, sparse, time= 20.40560 s\n", "l=95, dense, time= 358.98417 s\n", "l=100, sparse, time= 21.30333 s\n", "l=100, dense, time= 438.99194 s\n", "l=105, sparse, time= 23.56510 s\n", "l=105, dense, time= 518.49347 s\n" ] } ], "source": [ "import time\n", "\n", "ll = 10 + 5 * np.arange(20)\n", "times_s = np.array([])\n", "times_d = np.array([])\n", "for l in ll:\n", " for dense in [0, 1]:\n", "\n", " rows = l\n", " cols = l\n", " budget_per_node = 1\n", "\n", " N = rows * cols\n", "\n", " mask = make_sparse_grid_mask(rows, cols)\n", " if dense:\n", " mask = mask.to_dense()\n", "\n", " gn_sparse = GradNet(num_nodes=N, budget=budget_per_node * N, mask=mask, rand_init_weights=False)\n", " \n", " t0 = time.perf_counter()\n", " lightning_trainer, best_ckpt = fit(gn=gn_sparse, loss_fn=sparse_loss, num_updates=5, optim_kwargs={\"lr\": 0.05}, accelerator=\"cpu\", verbose=False);\n", " if dense:\n", " times_d = np.append(times_d, time.perf_counter() - t0)\n", " else:\n", " times_s = np.append(times_s, time.perf_counter() - t0)\n", " print(f\"l={l}, {'dense' if dense else 'sparse'}, time= {time.perf_counter() - t0:.5f} s\")" ] }, { "cell_type": "markdown", "id": "89eb4377", "metadata": {}, "source": [ "Finally we will plot the scaling of computation time vs sparse and dense encoded network sizes.\n", "Measurements from the previous cell are stored as two np lists in the next cell: sparse and dense" ] }, { "cell_type": "code", "execution_count": 10, "id": "27b1c6e7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Data\n", "ll = 10 + 5 * np.arange(19)\n", "n = ll**2\n", "\n", "sparse = 10*np.array([\n", " 0.93218, 1.24371, 1.55464, 1.94781, 2.51872, 3.20490, 3.94379, 4.84548, 5.92074, 6.96476,\n", " 8.15329, 9.53883, 10.73403, 12.44468, 13.79658, 15.65240, 17.47435, 19.76382, 21.89966\n", "])\n", "\n", "dense = 10*np.array([\n", " 0.90607, 1.25043, 1.25943, 1.52722, 2.21107, 3.30257, 3.02127, 7.23395, 16.54406, 31.43409,\n", " 51.56717, 74.36497, 110.18030, 136.74495, 163.21513, 227.38628, 294.51242, 358.31103, 431.86417\n", "])\n", "\n", "# Fit power laws using the last 8 points\n", "fit_last = 8\n", "n_fit = n[-fit_last:]\n", "sparse_fit = sparse[-fit_last:]\n", "dense_fit = dense[-fit_last:]\n", "\n", "log_n = np.log(n_fit)\n", "log_sparse = np.log(sparse_fit)\n", "log_dense = np.log(dense_fit)\n", "\n", "slope_sparse, intercept_sparse = np.polyfit(log_n, log_sparse, 1)\n", "slope_dense, intercept_dense = np.polyfit(log_n, log_dense, 1)\n", "\n", "# Extend fit lines\n", "n_line = np.linspace(2000, 10000, 400)\n", "sparse_line = np.exp(intercept_sparse) * n_line**slope_sparse\n", "dense_line = np.exp(intercept_dense) * n_line**slope_dense\n", "\n", "# Plot\n", "plt.figure()\n", "\n", "plt.scatter(n, sparse, label=\"Sparse\", s=10)\n", "plt.scatter(n, dense, label=\"Dense\", s=10)\n", "\n", "plt.loglog(n_line, sparse_line,\n", " label=f\"Slope≈{slope_sparse:.2f}\")\n", "\n", "plt.loglog(n_line, dense_line,\n", " label=f\"Slope≈{slope_dense:.2f}\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "plt.xlabel(\"number of nodes\")\n", "plt.ylabel(\"optimization time\")\n", "\n", "plt.legend(fontsize=8)\n", "plt.show()" ] } ], "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 }