{ "cells": [ { "cell_type": "markdown", "id": "723411fd", "metadata": {}, "source": [ "# 19 · Compressed Vibration Modes: trading global modes for *local* ones\n", "\n", "**Linear modal analysis (LMA)** solves $H u = \\omega^2 M u$ (stiffness $H$, mass $M$) for the shapes an\n", "elastic body likes to vibrate in, but its low modes are **global**: on a beam they are standing waves over\n", "the whole length, a poor basis for editing, actuating or simulating a body part by part. **Compressed\n", "modes** ([Brandt & Hildebrandt, 2017](https://www.sciencedirect.com/science/article/abs/pii/S0167839617300377))\n", "add a mass-weighted $L_1$ penalty that rewards shapes that are exactly zero almost everywhere. Each mode solves\n", "the problem below; $\\lambda = 0$ gives back LMA, and a larger $\\lambda$ gives a smaller support.\n", "\n", "$$\n", "\\min_u\\; \\underbrace{\\tfrac12\\, u^\\top H u}_{\\text{elastic}} + \\underbrace{\\lambda \\textstyle\\sum_i m_i\\,|u_i|}_{\\text{sparsity}}\n", "\\qquad \\text{s.t.}\\quad u^\\top M u = 1,\\;\\; u \\perp_M \\{\\text{earlier modes}\\}.\n", "$$" ] }, { "cell_type": "markdown", "id": "10d97abb", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "6d6c4907", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:49.421997Z", "iopub.status.busy": "2026-09-24T03:44:49.421869Z", "iopub.status.idle": "2026-09-24T03:44:50.017673Z", "shell.execute_reply": "2026-09-24T03:44:50.017195Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import igl\n", "import simkit\n", "import utils\n", "\n", "NOTEBOOK = \"019_compressed_modes\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/019_compressed_modes/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# mesh and material\n", "NX, NY = 40, 6 # grid resolution (vertices)\n", "WIDTH, HEIGHT = 6.0, 0.9 # beam size\n", "MU, LAM = 1.0, 1.0 # unit Lame parameters: only the mode *shapes* matter\n", "RHO = 1.0 # density of the lumped mass matrix\n", "MATERIAL = \"linear-elasticity\" # small-strain elasticity, so the stiffness H is constant\n", "# modes\n", "N_RIGID = 3 # rigid-body modes of a free 2D body (2 translations + 1 rotation)\n", "N_MODES = 5 # deformation / compressed modes per basis\n", "LAMBDAS = [0.5, 2.0, 8.0] # L1 sparsity weights of the compressed-mode sweep\n", "ICCM_ITERS = 25 # max convex-QP iterations per compressed mode\n", "ICCM_TOL = 1e-6 # stop a mode when its objective decrement falls below this\n", "SEED = 0 # seed of each compressed mode's random start and of the checks\n", "ACTIVE_THRESH = 0.05 # a vertex is \"active\" in a mode if it moves > 5% of the mode's peak\n", "# checks\n", "FD_STEP = 1e-6 # central-difference step of the gradient checks\n", "FD_NOISE = 0.05 # size of the random displacement the checks run at\n", "# animation\n", "N_FRAMES = 36 # frames per sine period\n", "SCREEN_AMP = 0.32 # largest on-screen vertex displacement of every mode\n", "FPS = 18 # video frame rate" ] }, { "cell_type": "markdown", "id": "87eaa635", "metadata": {}, "source": [ "## A free-standing beam\n", "\n", "We mesh a long thin rectangle with `igl.triangulated_grid` and **pin nothing**, so the beam floats in space.\n", "`simkit.massmatrix` lumps each triangle's mass equally onto its corners (bottom panel): boundary vertices\n", "carry less mass, corners the least. Expanded to one copy per $x$/$y$ DOF, it is the mass $M$ of both mode\n", "problems, and its diagonal $m_i$ also weights the $L_1$ penalty. The printed total mass equals\n", "`WIDTH * HEIGHT * RHO` = 5.4, so the lumping conserves mass." ] }, { "cell_type": "code", "execution_count": 2, "id": "c371234a", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.019304Z", "iopub.status.busy": "2026-09-24T03:44:50.019158Z", "iopub.status.idle": "2026-09-24T03:44:50.234976Z", "shell.execute_reply": "2026-09-24T03:44:50.234633Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beam: 240 vertices, 390 triangles, 480 DOFs, total mass 5.40\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V, T = igl.triangulated_grid(NX, NY) # unit square, NX x NY vertices\n", "X = (V - 0.5) * np.array([WIDTH, HEIGHT]) # centered WIDTH x HEIGHT rectangle\n", "n, dim = X.shape\n", "x_rest = X.reshape(-1, 1) # stacked rest positions\n", "\n", "M_vertex = simkit.massmatrix(X, T, rho=RHO) # lumped, diagonal (n, n)\n", "M = sp.sparse.kron(M_vertex, sp.sparse.eye(dim)).tocsc() # one copy per DOF, (n*dim, n*dim)\n", "print(f\"beam: {n} vertices, {len(T)} triangles, {n * dim} DOFs, total mass {M_vertex.sum():.2f}\")\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(9, 4.6), layout=\"constrained\")\n", "utils.plot_mesh(axes[0], X, T, title=\"rest beam (free-standing: nothing pinned)\")\n", "field = utils.plot_scalar_field(axes[1], X, T, M_vertex.diagonal(), title=\"lumped vertex mass $m_i$\",\n", " colorbar=False)\n", "fig.colorbar(field, ax=axes[1], orientation=\"horizontal\", shrink=0.5, aspect=40, label=\"mass\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"beam.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"019_beam.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "64917d7e", "metadata": {}, "source": [ "## The elastic system\n", "\n", "`free_beam_system` is the beam's mechanical system, built from simkit: small-strain elasticity evaluated on\n", "$F = Jx$ and weighted by triangle area. With nothing pinned it is the only term. Linear elasticity is\n", "quadratic in $x$, so its Hessian at rest **is** the stiffness $H$ of both mode problems. It is already\n", "positive semi-definite, so we take it exactly (`psd=False`)." ] }, { "cell_type": "code", "execution_count": 3, "id": "451fbf0b", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.236220Z", "iopub.status.busy": "2026-09-24T03:44:50.236135Z", "iopub.status.idle": "2026-09-24T03:44:50.240884Z", "shell.execute_reply": "2026-09-24T03:44:50.240579Z" } }, "outputs": [], "source": [ "def free_beam_system(X, T, material):\n", " \"\"\"Elastic energy of an unpinned body, in stacked vertex positions x.\"\"\"\n", " n, dim = X.shape\n", " J = simkit.deformation_jacobian(X, T)\n", " vol = simkit.volume(X, T)\n", " mu = np.full((len(T), 1), MU)\n", " lam = np.full((len(T), 1), LAM)\n", "\n", " def energy_func(x):\n", " E_elastic = simkit.energies.elastic_energy_x(x.reshape(n, dim), J, mu, lam, vol, material)\n", " E_total = E_elastic\n", " return E_total\n", "\n", " def gradient_func(x):\n", " g_elastic = simkit.energies.elastic_gradient_x(x.reshape(n, dim), J, mu, lam, vol, material)\n", " g_total = g_elastic\n", " return g_total\n", "\n", " def hessian_func(x):\n", " H_elastic = simkit.energies.elastic_hessian_x(x.reshape(n, dim), J, mu, lam, vol, material, psd=False)\n", " H_total = H_elastic\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func\n", "\n", "beam_energy, beam_gradient, beam_hessian = free_beam_system(X, T, MATERIAL)\n", "H = beam_hessian(x_rest).tocsc() # constant stiffness, (n*dim, n*dim)" ] }, { "cell_type": "markdown", "id": "dd77f83d", "metadata": {}, "source": [ "## The compressed-mode objective\n", "\n", "`compressed_mode_system` is the objective of one compressed mode in its displacement $u$: the elastic term\n", "$\\tfrac12 u^\\top H u$ plus the sparsity term $\\lambda\\, m^\\top |u|$, with $m$ the lumped mass of every DOF.\n", "Away from $u_i = 0$ the sparsity gradient is $\\lambda\\, m \\odot \\operatorname{sign}(u)$ and its Hessian\n", "vanishes. The kink at zero is what makes exact zeros optimal, and why Newton is the wrong tool:\n", "`simkit.eigs_iccm` instead splits $u = u_+ - u_-$ with $u_\\pm \\ge 0$, which makes the $L_1$ term linear, and\n", "solves a convex QP per iteration. We use these closures to check and score its modes." ] }, { "cell_type": "code", "execution_count": 4, "id": "493ab03a", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.241981Z", "iopub.status.busy": "2026-09-24T03:44:50.241919Z", "iopub.status.idle": "2026-09-24T03:44:50.244145Z", "shell.execute_reply": "2026-09-24T03:44:50.243791Z" } }, "outputs": [], "source": [ "def compressed_mode_system(H, M, l):\n", " \"\"\"Compressed-mode objective 0.5 u^T H u + l m^T |u| in a modal displacement u.\"\"\"\n", " m = np.asarray(M.sum(axis=1)).reshape(-1, 1) # lumped mass of every DOF\n", " b0 = np.zeros((H.shape[0], 1)) # the elastic term has no linear part\n", "\n", " def energy_func(u):\n", " E_elastic = simkit.energies.quadratic_energy(u, H, b0)\n", " E_sparse = l * (m.T @ np.abs(u)).item()\n", " E_total = E_elastic + E_sparse\n", " return E_total\n", "\n", " def gradient_func(u):\n", " g_elastic = simkit.energies.quadratic_gradient(u, H, b0)\n", " g_sparse = l * m * np.sign(u) # a subgradient wherever some u_i = 0\n", " g_total = g_elastic + g_sparse\n", " return g_total\n", "\n", " def hessian_func(u):\n", " H_elastic = simkit.energies.quadratic_hessian(H)\n", " H_sparse = sp.sparse.csc_matrix(H.shape) # |u| is piecewise linear: no curvature\n", " H_total = H_elastic + H_sparse\n", " return H_total\n", "\n", " return energy_func, gradient_func, hessian_func" ] }, { "cell_type": "markdown", "id": "7b8dcce1", "metadata": {}, "source": [ "## Check both systems\n", "\n", "At a random displacement $d$ (all entries nonzero, so $|u|$ is differentiable there), central finite\n", "differences (`simkit.gradient_cfd`) of each energy should match its gradient, and the beam energy should\n", "equal $\\tfrac12 d^\\top H d$, confirming that $H$ captures the whole elastic energy." ] }, { "cell_type": "code", "execution_count": 5, "id": "1b93c9e6", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.245372Z", "iopub.status.busy": "2026-09-24T03:44:50.245191Z", "iopub.status.idle": "2026-09-24T03:44:50.283620Z", "shell.execute_reply": "2026-09-24T03:44:50.283295Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "free_beam_system |g_fd - g| / |g| = 5.3e-10\n", "compressed_mode_system |g_fd - g| / |g| = 5.1e-10\n", "E(x_rest + d) = 4.159243608927\n", "0.5 d^T H d = 4.159243608927\n" ] } ], "source": [ "rng = np.random.default_rng(SEED)\n", "d = FD_NOISE * rng.standard_normal((n * dim, 1)) # random displacement\n", "mode_energy, mode_gradient, mode_hessian = compressed_mode_system(H, M, LAMBDAS[-1])\n", "checks = {\"free_beam_system\": (beam_energy, beam_gradient, x_rest + d),\n", " \"compressed_mode_system\": (mode_energy, mode_gradient, d)}\n", "for name, (energy_func, gradient_func, y) in checks.items():\n", " g = gradient_func(y)\n", " g_fd = simkit.gradient_cfd(lambda z: np.array(energy_func(z.reshape(-1, 1))), y.ravel(), FD_STEP)\n", " rel_err = np.linalg.norm(g_fd.reshape(-1, 1) - g) / np.linalg.norm(g)\n", " print(f\"{name:23s} |g_fd - g| / |g| = {rel_err:.1e}\")\n", "print(f\"E(x_rest + d) = {beam_energy(x_rest + d):.12f}\")\n", "print(f\"0.5 d^T H d = {0.5 * (d.T @ (H @ d)).item():.12f}\")" ] }, { "cell_type": "markdown", "id": "c0e3f80a", "metadata": {}, "source": [ "## Linear modal analysis: global modes\n", "\n", "`simkit.eigs` solves $Hu = \\omega^2 Mu$ for the lowest eigenpairs (what `simkit.linear_modal_analysis` does\n", "for a unit material). The first three eigenvalues are $\\approx 0$: the rigid translations and rotation in the\n", "null space of $H$. We drop them and keep the next five, the **deformation** modes. `active_fraction`\n", "measures locality: the share of (vertex, mode) pairs that move more than 5% of their mode's peak. For LMA\n", "it is 1: every mode moves every vertex." ] }, { "cell_type": "code", "execution_count": 6, "id": "196253e4", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.284833Z", "iopub.status.busy": "2026-09-24T03:44:50.284759Z", "iopub.status.idle": "2026-09-24T03:44:50.290455Z", "shell.execute_reply": "2026-09-24T03:44:50.290066Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eigenvalues omega^2: [-0. -0. 0. 0.0668 0.403 0.7292 1.2043 2.5513] <- the first 3 are rigid-body modes\n", "LMA active-vertex fraction: 1.00\n" ] } ], "source": [ "def mode_magnitude(B):\n", " \"\"\"Per-vertex displacement magnitude of every mode (column) of B, shape (n, k).\"\"\"\n", " return np.linalg.norm(B.reshape(n, dim, -1), axis=1)\n", "\n", "def active_fraction(B):\n", " \"\"\"Share of (vertex, mode) pairs that move more than ACTIVE_THRESH of their mode's peak.\"\"\"\n", " mag = mode_magnitude(B)\n", " return (mag > ACTIVE_THRESH * mag.max(axis=0)).mean()\n", "\n", "omega2, B_all = simkit.eigs(H, k=N_RIGID + N_MODES, M=M)\n", "print(\"eigenvalues omega^2:\", np.round(omega2, 4), f\" <- the first {N_RIGID} are rigid-body modes\")\n", "B_lma = B_all[:, N_RIGID:] # the first N_MODES deformation modes\n", "print(f\"LMA active-vertex fraction: {active_fraction(B_lma):.2f}\")" ] }, { "cell_type": "markdown", "id": "ff837a31", "metadata": {}, "source": [ "Each mode is played as $x(t) = X + a\\,\\sin(2\\pi t)\\,u$, rescaled so every mode's largest vertex displacement\n", "is the same on screen (`utils.animate_mode_shapes`; the gray ghost is the rest shape). Every mode is a\n", "standing wave over the **whole** beam: the bending modes add a half-wavelength each, and mode 3 stretches\n", "the beam along its length. This global character is what we want to break." ] }, { "cell_type": "code", "execution_count": 7, "id": "10915ce1", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:50.291610Z", "iopub.status.busy": "2026-09-24T03:44:50.291527Z", "iopub.status.idle": "2026-09-24T03:44:52.043896Z", "shell.execute_reply": "2026-09-24T03:44:52.043523Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, anim = utils.animate_mode_shapes(\n", " X, T, B_lma, n_frames=N_FRAMES, amp=SCREEN_AMP, fps=FPS,\n", " titles=[f\"mode {j + 1} ($\\\\omega^2$ = {w:.3f})\" for j, w in enumerate(omega2[N_RIGID:])],\n", " suptitle=\"Linear modal analysis: every mode spans the whole beam\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, \"lma_modes.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, \"019_lma_modes.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "7f99b2b1", "metadata": {}, "source": [ "## Turning on the sparsity knob $\\lambda$\n", "\n", "`simkit.eigs_iccm` computes five compressed modes per $\\lambda$ from the same $H$ and $M$, each from a seeded\n", "random start. The printout confirms the constraint (the basis is $M$-orthonormal, $U^\\top M U = I$, to\n", "round-off) and shows the active fraction falling as $\\lambda$ grows." ] }, { "cell_type": "code", "execution_count": 8, "id": "40046684", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:52.046483Z", "iopub.status.busy": "2026-09-24T03:44:52.046377Z", "iopub.status.idle": "2026-09-24T03:44:55.300674Z", "shell.execute_reply": "2026-09-24T03:44:55.300061Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lambda = 0.5: active-vertex fraction 0.51, max |U^T M U - I| = 1.0e-15\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "lambda = 2.0: active-vertex fraction 0.31, max |U^T M U - I| = 4.4e-16\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "lambda = 8.0: active-vertex fraction 0.19, max |U^T M U - I| = 4.4e-16\n" ] } ], "source": [ "B_iccm = {}\n", "for l in LAMBDAS:\n", " np.random.seed(SEED) # eigs_iccm draws its starts from np.random\n", " B_iccm[l] = simkit.eigs_iccm(H, l=l, k=N_MODES, M=M, tolerance=ICCM_TOL, max_iters=ICCM_ITERS)\n", " gram = np.dot(B_iccm[l].T, M @ B_iccm[l]) # U^T M U\n", " residual = np.abs(gram - np.eye(N_MODES)).max()\n", " print(f\"lambda = {l:>4}: active-vertex fraction {active_fraction(B_iccm[l]):.2f},\"\n", " f\" max |U^T M U - I| = {residual:.1e}\")" ] }, { "cell_type": "markdown", "id": "12e0a1a4", "metadata": {}, "source": [ "**$\\lambda = 0.5$**, light pressure: each mode already lives on part of the beam (about half of it on\n", "average), and the rest goes quiet." ] }, { "cell_type": "code", "execution_count": 9, "id": "d3f4e280", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:55.302137Z", "iopub.status.busy": "2026-09-24T03:44:55.302037Z", "iopub.status.idle": "2026-09-24T03:44:56.958807Z", "shell.execute_reply": "2026-09-24T03:44:56.958407Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = LAMBDAS[0]\n", "fig, anim = utils.animate_mode_shapes(\n", " X, T, B_iccm[l], n_frames=N_FRAMES, amp=SCREEN_AMP, fps=FPS,\n", " suptitle=f\"Compressed modes, $\\\\lambda$ = {l} (active fraction {active_fraction(B_iccm[l]):.2f})\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, f\"iccm_l{l}.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, f\"019_iccm_l{l}.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "c6a99dfc", "metadata": {}, "source": [ "**$\\lambda = 2$**: each mode now occupies one *region* (an end, or a stretch of the middle), and the rest of\n", "the beam is frozen." ] }, { "cell_type": "code", "execution_count": 10, "id": "6bdf0529", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:56.960519Z", "iopub.status.busy": "2026-09-24T03:44:56.960428Z", "iopub.status.idle": "2026-09-24T03:44:58.542181Z", "shell.execute_reply": "2026-09-24T03:44:58.541644Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = LAMBDAS[1]\n", "fig, anim = utils.animate_mode_shapes(\n", " X, T, B_iccm[l], n_frames=N_FRAMES, amp=SCREEN_AMP, fps=FPS,\n", " suptitle=f\"Compressed modes, $\\\\lambda$ = {l} (active fraction {active_fraction(B_iccm[l]):.2f})\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, f\"iccm_l{l}.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, f\"019_iccm_l{l}.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "a9baaeba", "metadata": {}, "source": [ "**$\\lambda = 8$**, strong pressure: modes collapse to compact **local** bumps. Only a small patch breathes\n", "while the rest stays exactly at rest. Same beam, same five modes: we only changed how much spreading out costs." ] }, { "cell_type": "code", "execution_count": 11, "id": "16324107", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:58.543449Z", "iopub.status.busy": "2026-09-24T03:44:58.543366Z", "iopub.status.idle": "2026-09-24T03:45:00.044733Z", "shell.execute_reply": "2026-09-24T03:45:00.043868Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = LAMBDAS[2]\n", "fig, anim = utils.animate_mode_shapes(\n", " X, T, B_iccm[l], n_frames=N_FRAMES, amp=SCREEN_AMP, fps=FPS,\n", " suptitle=f\"Compressed modes, $\\\\lambda$ = {l} (active fraction {active_fraction(B_iccm[l]):.2f})\")\n", "video = simkit.filesystem.save_animation(anim, os.path.join(RESULTS_DIR, f\"iccm_l{l}.mp4\"), fps=FPS,\n", " copy_to=os.path.join(MEDIA_DIR, f\"019_iccm_l{l}.mp4\"))\n", "plt.close(fig)\n", "utils.embed_video(video)" ] }, { "cell_type": "markdown", "id": "1ba1eb9a", "metadata": {}, "source": [ "## Seeing the support shrink directly\n", "\n", "Each mode's per-vertex displacement magnitude on the rest beam (normalized by its peak) shows its support at a\n", "glance: bright vertices move, black ones stay put. The top row is LMA, and each row below raises $\\lambda$.\n", "Mode order changes with $\\lambda$, so a column is not one mode followed down the rows. Still, the total bright\n", "area of a row shrinks as $\\lambda$ grows: the modes become sparser." ] }, { "cell_type": "code", "execution_count": 12, "id": "b57eb722", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:00.046144Z", "iopub.status.busy": "2026-09-24T03:45:00.046061Z", "iopub.status.idle": "2026-09-24T03:45:00.407431Z", "shell.execute_reply": "2026-09-24T03:45:00.406991Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rows = {\"LMA\": B_lma, **{f\"$\\\\lambda$ = {l}\": B_iccm[l] for l in LAMBDAS}}\n", "fig, axes = plt.subplots(len(rows), N_MODES, figsize=(14, 3.9), layout=\"constrained\")\n", "for r, (name, B) in enumerate(rows.items()):\n", " mag = mode_magnitude(B)\n", " for j in range(N_MODES):\n", " field = utils.plot_scalar_field(axes[r, j], X, T, mag[:, j] / mag[:, j].max(), cmap=\"magma\",\n", " vmin=0, vmax=1, edges=False, colorbar=False,\n", " title=f\"mode {j + 1}\" if r == 0 else None)\n", " axes[r, j].set_xticks([])\n", " axes[r, j].set_yticks([])\n", " axes[r, 0].set_ylabel(name, fontsize=11)\n", "fig.colorbar(field, ax=axes, shrink=0.8, label=\"|displacement| / peak\")\n", "fig.suptitle(\"Mode support shrinks as $\\\\lambda$ grows (bright = moves, black = frozen)\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"heatmaps.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"019_heatmaps.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "875e9b4b", "metadata": {}, "source": [ "## Quantifying sparsity\n", "\n", "The active-vertex fraction, averaged over the five modes, falls steeply with $\\lambda$: LMA modes touch every\n", "vertex, and by $\\lambda = 8$ each mode moves under a fifth of the beam." ] }, { "cell_type": "code", "execution_count": 13, "id": "ed275527", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:00.408844Z", "iopub.status.busy": "2026-09-24T03:45:00.408756Z", "iopub.status.idle": "2026-09-24T03:45:00.515505Z", "shell.execute_reply": "2026-09-24T03:45:00.515206Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = [\"LMA\\n($\\\\lambda$ = 0)\"] + [f\"$\\\\lambda$ = {l}\" for l in LAMBDAS]\n", "fractions = [active_fraction(B_lma)] + [active_fraction(B_iccm[l]) for l in LAMBDAS]\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.bar(labels, fractions, color=[\"#1f77b4\", \"#9467bd\", \"#d62728\", \"#000000\"])\n", "for i, v in enumerate(fractions):\n", " ax.text(i, v + 0.01, f\"{v:.2f}\", ha=\"center\", fontsize=10)\n", "ax.set_ylim(0, 1.08)\n", "ax.set_ylabel(f\"active-vertex fraction (avg over {N_MODES} modes)\")\n", "ax.set_title(\"Compressed modes get sparser as $\\\\lambda$ grows\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"sparsity.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"019_sparsity.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f56bcf20", "metadata": {}, "source": [ "## Did the solver lower its objective?\n", "\n", "Both bases are $M$-normalized, so we can score each against the compressed objective of every $\\lambda$, split\n", "into its two terms (the elastic part is `beam_energy` at $X + u$, i.e. $\\tfrac12 u^\\top H u$). LMA modes are\n", "elastically cheap but pay the sparsity term on every vertex; the compressed modes roughly halve the total.\n", "Their elastic part grows with $\\lambda$ (at $\\lambda = 8$ they buy locality with stiffness). At $\\lambda = 0.5$\n", "it is even below LMA's, since unlike the LMA deformation modes they are not $M$-orthogonal to the rigid\n", "motions and can let a patch move almost rigidly." ] }, { "cell_type": "code", "execution_count": 14, "id": "09f19b04", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:45:00.517257Z", "iopub.status.busy": "2026-09-24T03:45:00.517153Z", "iopub.status.idle": "2026-09-24T03:45:00.659473Z", "shell.execute_reply": "2026-09-24T03:45:00.658943Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, len(LAMBDAS), figsize=(11, 3.8))\n", "for ax, l in zip(axes, LAMBDAS):\n", " mode_energy, mode_gradient, mode_hessian = compressed_mode_system(H, M, l)\n", " for i, (name, B) in enumerate([(\"LMA\", B_lma), (\"compressed\", B_iccm[l])]):\n", " E_elastic = sum(beam_energy(x_rest + B[:, [j]]) for j in range(N_MODES))\n", " E_total = sum(mode_energy(B[:, [j]]) for j in range(N_MODES))\n", " E_sparse = E_total - E_elastic\n", " ax.bar(i, E_elastic, color=\"#2ca02c\", label=\"elastic $\\\\frac{1}{2}u^\\\\top Hu$\" if i == 0 else None)\n", " ax.bar(i, E_sparse, bottom=E_elastic, color=\"#9467bd\",\n", " label=\"sparsity $\\\\lambda\\\\, m^\\\\top|u|$\" if i == 0 else None)\n", " ax.text(i, E_total, f\"{E_total:.1f}\", ha=\"center\", va=\"bottom\", fontsize=10)\n", " ax.set_xticks([0, 1], [\"LMA\", \"compressed\"])\n", " ax.set_ylim(0, 1.12 * ax.get_ylim()[1])\n", " ax.set_title(f\"objective at $\\\\lambda$ = {l}\")\n", " ax.grid(True, axis=\"y\", color=\"0.9\")\n", " ax.set_axisbelow(True)\n", "axes[0].set_ylabel(f\"sum over {N_MODES} modes\")\n", "axes[0].legend(loc=\"upper right\", fontsize=9)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"objective.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"019_objective.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "191bc90a", "metadata": {}, "source": [ "## Takeaways\n", "\n", "* **LMA modes are global.** They diagonalize $H$ against $M$, and the low-frequency shapes span the whole body:\n", " great for spectral analysis, awkward for local editing.\n", "* **An $L_1$ penalty buys locality.** Minimizing $\\tfrac12 u^\\top H u + \\lambda\\, m^\\top|u|$ (mass-normalized,\n", " deflated) keeps a mode smooth where it lives and exactly zero everywhere else.\n", "* **One knob.** $\\lambda$ slides from global LMA ($\\lambda \\to 0$) to tight local bumps (large $\\lambda$), with\n", " nothing else touched.\n", "* **`simkit.eigs_iccm`** works for any $(H, M)$ pair, giving a local basis for part-based deformation, sparse\n", " control and domain-decomposed reduced simulation, where a global basis couples everything to everything." ] } ], "metadata": { "kernelspec": { "display_name": "simkit", "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }