{ "cells": [ { "cell_type": "markdown", "id": "a6602fb9", "metadata": {}, "source": [ "# Univariate Basis Functions: B-Splines\n", "\n", "This notebook demonstrates the B-spline basis implementation in `torchtt.functional`. \n", "\n", "B-splines are piecewise polynomial functions widely used for interpolation and approximation. Key features of our implementation:\n", "\n", "- **Pure PyTorch**: Full automatic differentiation support\n", "- **Interpolation**: Greville abscissae provide invertible interpolation matrices \n", "- **Quadrature**: Built-in Gauss-Legendre integration weights" ] }, { "cell_type": "code", "execution_count": 1, "id": "869c63ae", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:56.499461Z", "iopub.status.busy": "2026-08-21T13:07:56.499370Z", "iopub.status.idle": "2026-08-21T13:07:57.820997Z", "shell.execute_reply": "2026-08-21T13:07:57.820440Z" } }, "outputs": [], "source": [ "import torch\n", "import torchtt\n", "from torchtt.functional import BSplineBasis\n", "import matplotlib.pyplot as plt\n", "\n", "# Use a nice style for plots\n", "plt.rcParams['figure.figsize'] = (10, 4)\n", "plt.rcParams['axes.grid'] = True\n", "plt.rcParams['grid.alpha'] = 0.3" ] }, { "cell_type": "markdown", "id": "c13edf65", "metadata": {}, "source": [ "## Creating B-Spline Bases of Different Degrees\n", "\n", "B-splines of degree $p$ are piecewise polynomials with $C^{p-1}$ continuity at the knots:\n", "\n", "- **Degree 0**: Piecewise constant (step functions)\n", "- **Degree 1**: Piecewise linear (hat functions) \n", "- **Degree 2**: Piecewise quadratic (smooth parabolic arcs)\n", "\n", "We create 3 bases on the interval $[0, 1]$ with 8 interior knots." ] }, { "cell_type": "code", "execution_count": 2, "id": "3ac63a78", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:57.822910Z", "iopub.status.busy": "2026-08-21T13:07:57.822597Z", "iopub.status.idle": "2026-08-21T13:07:57.826907Z", "shell.execute_reply": "2026-08-21T13:07:57.826449Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degree 0: BSplineBasis(n=7, deg=0, interval=(0.0, 1.0))\n", "Degree 1: BSplineBasis(n=8, deg=1, interval=(0.0, 1.0))\n", "Degree 2: BSplineBasis(n=9, deg=2, interval=(0.0, 1.0))\n" ] } ], "source": [ "# Define knot vector\n", "knots = torch.linspace(0, 1, 8)\n", "\n", "# Create B-spline bases of degrees 0, 1, and 2\n", "basis_0 = BSplineBasis(knots, deg=0)\n", "basis_1 = BSplineBasis(knots, deg=1)\n", "basis_2 = BSplineBasis(knots, deg=2)\n", "\n", "print(f\"Degree 0: {basis_0}\")\n", "print(f\"Degree 1: {basis_1}\")\n", "print(f\"Degree 2: {basis_2}\")" ] }, { "cell_type": "markdown", "id": "5fd507ef", "metadata": {}, "source": [ "## Visualizing the Basis Functions\n", "\n", "Let's plot all basis functions for each degree. We evaluate on a fine grid to see the smooth structure.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "f77e1f8e", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:57.828031Z", "iopub.status.busy": "2026-08-21T13:07:57.827869Z", "iopub.status.idle": "2026-08-21T13:07:58.167619Z", "shell.execute_reply": "2026-08-21T13:07:58.167043Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fine grid for evaluation (use float64 for consistency with basis internals)\n", "x = torch.linspace(0, 1, 500, dtype=torch.float64)\n", "\n", "# Evaluate all bases\n", "B0 = basis_0(x) # shape: (n0, 500)\n", "B1 = basis_1(x) # shape: (n1, 500)\n", "B2 = basis_2(x) # shape: (n2, 500)\n", "\n", "# Create 3 subplots\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n", "\n", "# Plot degree 0 (piecewise constant)\n", "for i in range(B0.shape[0]):\n", " axes[0].plot(x.numpy(), B0[i].numpy(), label=f'$B_{{{i},0}}$')\n", "axes[0].set_title('Degree 0: Piecewise Constant')\n", "axes[0].set_xlabel('x')\n", "axes[0].set_ylabel('B(x)')\n", "axes[0].legend(loc='upper right', fontsize=8)\n", "\n", "# Plot degree 1 (piecewise linear)\n", "for i in range(B1.shape[0]):\n", " axes[1].plot(x.numpy(), B1[i].numpy(), label=f'$B_{{{i},1}}$')\n", "axes[1].set_title('Degree 1: Piecewise Linear')\n", "axes[1].set_xlabel('x')\n", "axes[1].legend(loc='upper right', fontsize=8)\n", "\n", "# Plot degree 2 (piecewise quadratic)\n", "for i in range(B2.shape[0]):\n", " axes[2].plot(x.numpy(), B2[i].numpy(), label=f'$B_{{{i},2}}$')\n", "axes[2].set_title('Degree 2: Piecewise Quadratic')\n", "axes[2].set_xlabel('x')\n", "axes[2].legend(loc='upper right', fontsize=8)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "49f0a7df", "metadata": {}, "source": [ "## Interpolation with B-Splines\n", "\n", "A function $f(x)$ can be approximated as a linear combination of B-splines:\n", "\n", "$$f(x) \\approx \\sum_{i=0}^{n-1} c_i B_i(x)$$\n", "\n", "To find the coefficients $c_i$, we use the **Greville abscissae** (interpolating points) where the basis evaluation matrix is invertible. Given function values $f_i$ at these points, we solve:\n", "\n", "$$\\mathbf{B} \\cdot \\mathbf{c} = \\mathbf{f}$$\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "632e63c7", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.168714Z", "iopub.status.busy": "2026-08-21T13:07:58.168593Z", "iopub.status.idle": "2026-08-21T13:07:58.174036Z", "shell.execute_reply": "2026-08-21T13:07:58.173626Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Interpolating points (Greville abscissae): tensor([0.0000, 0.0714, 0.2143, 0.3571, 0.5000, 0.6429, 0.7857, 0.9286, 1.0000],\n", " dtype=torch.float64)\n", "Basis matrix shape: torch.Size([9, 9])\n", "Matrix condition number: 2.14\n" ] } ], "source": [ "# Define a test function to interpolate\n", "def f(x):\n", " return torch.sin(2 * torch.pi * x) + 0.5 * torch.cos(4 * torch.pi * x)\n", "\n", "# Get interpolating points and basis matrix for degree-2 basis\n", "interp_pts, B_matrix = basis_2.interpolating_points()\n", "\n", "print(f\"Interpolating points (Greville abscissae): {interp_pts}\")\n", "print(f\"Basis matrix shape: {B_matrix.shape}\")\n", "print(f\"Matrix condition number: {torch.linalg.cond(B_matrix):.2f}\")\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "3386ca2a", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.175257Z", "iopub.status.busy": "2026-08-21T13:07:58.175121Z", "iopub.status.idle": "2026-08-21T13:07:58.250078Z", "shell.execute_reply": "2026-08-21T13:07:58.249718Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maximum interpolation error: 0.278475\n" ] } ], "source": [ "# Evaluate function at interpolating points\n", "f_vals = f(interp_pts)\n", "\n", "# Solve for B-spline coefficients: B @ c = f\n", "coeffs = torch.linalg.solve(B_matrix.T, f_vals) # B_matrix is (n, n_pts), need transpose\n", "\n", "# Reconstruct the function on the fine grid\n", "B2_fine = basis_2(x) # shape: (n, 500)\n", "f_approx = coeffs @ B2_fine # shape: (500,)\n", "\n", "# Plot the results\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(x.numpy(), f(x).numpy(), 'b-', linewidth=2, label='Original $f(x)$')\n", "plt.plot(x.numpy(), f_approx.numpy(), 'r--', linewidth=2, label='B-spline interpolation')\n", "plt.scatter(interp_pts.numpy(), f_vals.numpy(), s=80, c='green', zorder=5, \n", " label='Interpolating points', edgecolors='black')\n", "plt.xlabel('x')\n", "plt.ylabel('f(x)')\n", "plt.title('Function Interpolation using Quadratic B-Splines')\n", "plt.legend()\n", "plt.show()\n", "\n", "# Compute interpolation error\n", "error = torch.max(torch.abs(f(x) - f_approx))\n", "print(f\"Maximum interpolation error: {error:.6f}\")\n" ] }, { "cell_type": "markdown", "id": "98de526e", "metadata": {}, "source": [ "## Integration Weights of Individual Basis Functions\n", "\n", "Each basis provides the integrals of individual basis functions. For B-splines, the integral of each basis function B_i(x) over its support can be computed analytically. These integration weights are useful for various numerical methods and tensor operations.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "0d4af22a", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.251420Z", "iopub.status.busy": "2026-08-21T13:07:58.251313Z", "iopub.status.idle": "2026-08-21T13:07:58.307275Z", "shell.execute_reply": "2026-08-21T13:07:58.306808Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of basis functions: 9\n", "Integration weights (integral of each basis function):\n", "tensor([0.0476, 0.0952, 0.1429, 0.1429, 0.1429, 0.1429, 0.1429, 0.0952, 0.0476],\n", " dtype=torch.float64)\n", "\n", "Sum of integration weights: 1.0000000000\n", "Expected (interval length): 1.0\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the integration weights for degree-2 basis\n", "int_weights = basis_2.integration_weights()\n", "\n", "print(f\"Number of basis functions: {basis_2.n}\")\n", "print(f\"Integration weights (integral of each basis function):\")\n", "print(int_weights)\n", "print(f\"\\nSum of integration weights: {int_weights.sum().item():.10f}\")\n", "print(f\"Expected (interval length): 1.0\")\n", "\n", "# Visualize the integration weights\n", "plt.figure(figsize=(10, 4))\n", "plt.bar(range(basis_2.n), int_weights.numpy(), alpha=0.7, edgecolor='black')\n", "plt.xlabel('Basis function index')\n", "plt.ylabel('Integral value')\n", "plt.title('Integration Weights of Individual B-Spline Basis Functions (degree=2)')\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "4c002c7d", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.308414Z", "iopub.status.busy": "2026-08-21T13:07:58.308288Z", "iopub.status.idle": "2026-08-21T13:07:58.312118Z", "shell.execute_reply": "2026-08-21T13:07:58.311631Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integration weights for different degrees:\n", "\n", "Degree 0 (n=7): sum = 1.000000\n", "Degree 1 (n=8): sum = 1.000000\n", "Degree 2 (n=9): sum = 1.000000\n", "\n", "Note: The sum of integration weights equals the interval length [0, 1] = 1.0\n", "This is a consequence of the partition of unity property of B-splines.\n" ] } ], "source": [ "# Compare integration weights for different degrees\n", "int_weights_0 = basis_0.integration_weights()\n", "int_weights_1 = basis_1.integration_weights()\n", "int_weights_2 = basis_2.integration_weights()\n", "\n", "print(\"Integration weights for different degrees:\")\n", "print(f\"\\nDegree 0 (n={basis_0.n}): sum = {int_weights_0.sum():.6f}\")\n", "print(f\"Degree 1 (n={basis_1.n}): sum = {int_weights_1.sum():.6f}\")\n", "print(f\"Degree 2 (n={basis_2.n}): sum = {int_weights_2.sum():.6f}\")\n", "\n", "# All should sum to the interval length (1.0)\n", "print(\"\\nNote: The sum of integration weights equals the interval length [0, 1] = 1.0\")\n", "print(\"This is a consequence of the partition of unity property of B-splines.\")\n" ] }, { "cell_type": "markdown", "id": "240a23be", "metadata": {}, "source": [ "## Automatic Differentiation with B-Splines\n", "\n", "One of the key features of our implementation is full PyTorch autograd support. We can compute gradients of any function of the basis values with respect to the input points.\n", "\n", "This is particularly useful for:\n", "- Optimization problems\n", "- Learning-based methods\n", "- Sensitivity analysis\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "7a6204f1", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.313060Z", "iopub.status.busy": "2026-08-21T13:07:58.312966Z", "iopub.status.idle": "2026-08-21T13:07:58.336961Z", "shell.execute_reply": "2026-08-21T13:07:58.336550Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input shape: torch.Size([200])\n", "Basis output shape: torch.Size([9, 200])\n", "Gradient shape: torch.Size([200])\n", "Gradient (first 10 values): tensor([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.], dtype=torch.float64)\n" ] } ], "source": [ "# Create input with gradient tracking\n", "x_grad = torch.linspace(0, 1, 200, requires_grad=True, dtype=torch.float64)\n", "\n", "# Evaluate basis\n", "B2_grad = basis_2(x_grad) # shape: (n, 200)\n", "\n", "# Compute some scalar function of the basis (e.g., sum of all values)\n", "loss = B2_grad.sum()\n", "\n", "# Backpropagate to get gradient w.r.t. input\n", "loss.backward()\n", "\n", "print(f\"Input shape: {x_grad.shape}\")\n", "print(f\"Basis output shape: {B2_grad.shape}\")\n", "print(f\"Gradient shape: {x_grad.grad.shape}\")\n", "print(f\"Gradient (first 10 values): {x_grad.grad[:10]}\")\n" ] }, { "cell_type": "markdown", "id": "ca35c9e5", "metadata": {}, "source": [ "## Basis Derivatives\n", "\n", "The B-spline implementation also provides analytical derivatives via the `derivative=True` flag. This uses the standard B-spline derivative formula:\n", "\n", "$$B'_{i,p}(x) = p \\left[ \\frac{B_{i,p-1}(x)}{t_{i+p} - t_i} - \\frac{B_{i+1,p-1}(x)}{t_{i+p+1} - t_{i+1}} \\right]$$\n", "\n", "Let's visualize the derivatives of all three basis degrees.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "c27fc031", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.337988Z", "iopub.status.busy": "2026-08-21T13:07:58.337886Z", "iopub.status.idle": "2026-08-21T13:07:58.631296Z", "shell.execute_reply": "2026-08-21T13:07:58.630897Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Evaluate derivatives of all bases\n", "dB0 = basis_0(x, derivative=True) # Degree 0: derivative is zero everywhere (piecewise constant)\n", "dB1 = basis_1(x, derivative=True) # Degree 1: piecewise constant derivative\n", "dB2 = basis_2(x, derivative=True) # Degree 2: piecewise linear derivative\n", "\n", "# Create 3 subplots for derivatives\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n", "\n", "# Plot degree 0 derivatives\n", "for i in range(dB0.shape[0]):\n", " axes[0].plot(x.numpy(), dB0[i].numpy(), label=f\"$B'_{{{i},0}}$\")\n", "axes[0].set_title(\"Degree 0 Derivatives (Always Zero)\")\n", "axes[0].set_xlabel('x')\n", "axes[0].set_ylabel(\"B'(x)\")\n", "axes[0].legend(loc='upper right', fontsize=8)\n", "axes[0].set_ylim(-5, 5)\n", "\n", "# Plot degree 1 derivatives\n", "for i in range(dB1.shape[0]):\n", " axes[1].plot(x.numpy(), dB1[i].numpy(), label=f\"$B'_{{{i},1}}$\")\n", "axes[1].set_title(\"Degree 1 Derivatives (Piecewise Constant)\")\n", "axes[1].set_xlabel('x')\n", "axes[1].legend(loc='upper right', fontsize=8)\n", "\n", "# Plot degree 2 derivatives\n", "for i in range(dB2.shape[0]):\n", " axes[2].plot(x.numpy(), dB2[i].numpy(), label=f\"$B'_{{{i},2}}$\")\n", "axes[2].set_title(\"Degree 2 Derivatives (Piecewise Linear)\")\n", "axes[2].set_xlabel('x')\n", "axes[2].legend(loc='upper right', fontsize=8)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "3814e192", "metadata": {}, "source": [ "## Boundary Modes: Zero Boundaries and Unbounded Domains\n", "\n", "By default the basis is **clamped**: the boundary knots are repeated and the first/last basis functions reach $1$ at the boundary. Two additional per-side modes are available through the `bc=(left, right)` argument:\n", "\n", "- **`\"zero\"`** — the basis function that is nonzero at that boundary is omitted, so every function in the span vanishes there (useful for densities or Dirichlet boundary conditions). The dimension `n` decreases by one.\n", "- **`\"decay\"`** — the domain becomes unbounded on that side. The knot vector is extended with `deg` phantom knots and the basis functions crossing the boundary are continued by smooth tails\n", "$$T_i(x) = \\sum_{j=1}^{\\mathrm{deg}} a_{ij}\\, e^{-j \\lambda |x - b|},$$\n", "whose $\\mathrm{deg}$ coefficients are matched in value and the first $\\mathrm{deg}-1$ derivatives: the basis is $C^{\\mathrm{deg}-1}$ on the whole unbounded domain. The rate $\\lambda$ is set via `decay_rate` (default: $\\mathrm{deg}/h$ with $h$ the adjacent knot spacing) and fixes the far-field behaviour, since the $j=1$ term is the slowest one. Crossing functions whose **center (Greville point) would fall outside the domain are dropped**, so the outermost retained function peaks at the boundary and decays monotonically past it — no redundant bump in the tail.\n", "\n", "Where this form comes from: the map\n", "$$t = 1 - e^{-\\lambda |x - b|}$$\n", "sends the unbounded side onto $[0, 1)$, and the tail is the *general polynomial in $t$ that vanishes at $t = 1$*. Vanishing at $t = 1$ is exactly the condition that the tail go to zero at infinity, which is what keeps every integral finite; expanding it back in $x$ gives the sum of exponentials above. The pay-off is that no growing polynomial factor multiplies the exponential — **every term decays**, so at the default rate the tails come out non-negative and monotone to machine precision. That is what a density expansion with non-negative coefficients needs, and it is why $\\int B_i\\,dx$, the mass, stiffness and advection matrices all have closed forms here.\n", "\n", "The interpolating points adapt automatically: for a `\"zero\"` side the boundary point is dropped, and for a `\"decay\"` side the out-of-domain points are dropped so all interpolating points stay within $[a, b]$ (the outermost sits exactly at the boundary). Integration weights include the analytic tail mass, so normalization over the unbounded domain works out of the box." ] }, { "cell_type": "code", "execution_count": 10, "id": "dcbde4e0", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.632568Z", "iopub.status.busy": "2026-08-21T13:07:58.632466Z", "iopub.status.idle": "2026-08-21T13:07:58.883192Z", "shell.execute_reply": "2026-08-21T13:07:58.882724Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Zero-left basis: BSplineBasis(n=8, deg=2, interval=(0.0, 1.0), bc=('zero', 'clamped'))\n", "(the clamped basis on the same knots would have n=9)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- Example 1: zero boundary at the left end ---\n", "knots = torch.linspace(0, 1, 8)\n", "basis_zero = BSplineBasis(knots, deg=2, bc=(\"zero\", \"clamped\"))\n", "print(f\"Zero-left basis: {basis_zero}\")\n", "print(f\"(the clamped basis on the same knots would have n={len(knots) + 2 - 1})\")\n", "\n", "x = torch.linspace(0, 1, 500, dtype=torch.float64)\n", "B_zero = basis_zero(x)\n", "pts_zero, _ = basis_zero.interpolating_points()\n", "\n", "plt.figure(figsize=(10, 5))\n", "for i in range(basis_zero.n):\n", " plt.plot(x.numpy(), B_zero[i].numpy(), label=f'$B_{{{i}}}$')\n", "plt.scatter(pts_zero.numpy(), torch.zeros_like(pts_zero).numpy(), s=90, c='red', marker='^',\n", " zorder=5, edgecolors='black', label='Interpolating points')\n", "plt.title('bc=(\"zero\", \"clamped\"): every basis function vanishes at $x=0$')\n", "plt.xlabel('x')\n", "plt.ylabel('B(x)')\n", "plt.legend(loc='upper right', fontsize=8, ncol=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "494991c8", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.884337Z", "iopub.status.busy": "2026-08-21T13:07:58.884237Z", "iopub.status.idle": "2026-08-21T13:07:58.992366Z", "shell.execute_reply": "2026-08-21T13:07:58.991925Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Decay-right basis: BSplineBasis(n=5, deg=2, interval=(0.0, 2.0), bc=('clamped', 'decay'), decay_rate=(None, 4.0))\n", "Integration weights sum: 2.041667 (interval length 2 plus the analytic tail mass)\n", "Interpolating points: [0. 0.25 0.75 1.25 1.75] <- last point sits at b=2, none beyond\n", "Matrix condition number: 2.08\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- Example 2: unbounded domain to the right (smooth exponential tails) ---\n", "knots_d = torch.linspace(0, 2, 5) # wide spacing h=0.5 so the tails are clearly visible\n", "basis_decay = BSplineBasis(knots_d, deg=2, bc=(\"clamped\", \"decay\"))\n", "print(f\"Decay-right basis: {basis_decay}\")\n", "print(f\"Integration weights sum: {basis_decay.integration_weights().sum().item():.6f} \"\n", " f\"(interval length 2 plus the analytic tail mass)\")\n", "\n", "x_ext = torch.linspace(0, 3.5, 800, dtype=torch.float64)\n", "B_decay = basis_decay(x_ext)\n", "pts_decay, M_decay = basis_decay.interpolating_points()\n", "print(f\"Interpolating points: {pts_decay.numpy().round(4)} <- last point sits at b=2, none beyond\")\n", "print(f\"Matrix condition number: {torch.linalg.cond(M_decay):.2f}\")\n", "\n", "plt.figure(figsize=(10, 5))\n", "for i in range(basis_decay.n):\n", " plt.plot(x_ext.numpy(), B_decay[i].numpy(), label=f'$B_{{{i}}}$')\n", "plt.axvline(2.0, color='gray', linestyle='--', linewidth=1, label='last knot $b=2$')\n", "plt.scatter(pts_decay.numpy(), torch.zeros_like(pts_decay).numpy(), s=90, c='red', marker='^',\n", " zorder=5, edgecolors='black', label='Interpolating points')\n", "plt.title('bc=(\"clamped\", \"decay\"): $C^{1}$ exponential tails beyond the last knot')\n", "plt.xlabel('x')\n", "plt.ylabel('B(x)')\n", "plt.legend(loc='upper right', fontsize=8, ncol=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "e7e06b1e", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:58.993458Z", "iopub.status.busy": "2026-08-21T13:07:58.993359Z", "iopub.status.idle": "2026-08-21T13:07:59.120993Z", "shell.execute_reply": "2026-08-21T13:07:59.120467Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PDF-style basis: BSplineBasis(n=10, deg=3, interval=(0.0, 3.0), bc=('zero', 'decay'), decay_rate=(None, 9.000002145767724))\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- Example 3: combination for densities on [0, inf): zero at 0, unbounded right ---\n", "# Cubic (deg=3): the last retained function peaks exactly at b and decays monotonically,\n", "# with no redundant bump past b (the out-of-domain crossing functions are dropped).\n", "knots_pdf = torch.linspace(0, 3, 10)\n", "basis_pdf = BSplineBasis(knots_pdf, deg=3, bc=(\"zero\", \"decay\"))\n", "print(f\"PDF-style basis: {basis_pdf}\")\n", "\n", "x_pdf = torch.linspace(0, 4.5, 900, dtype=torch.float64)\n", "B_pdf = basis_pdf(x_pdf)\n", "pts_pdf, _ = basis_pdf.interpolating_points()\n", "\n", "plt.figure(figsize=(10, 5))\n", "for i in range(basis_pdf.n):\n", " plt.plot(x_pdf.numpy(), B_pdf[i].numpy(), label=f'$B_{{{i}}}$')\n", "plt.axvline(3.0, color='gray', linestyle='--', linewidth=1, label='last knot $b=3$')\n", "plt.scatter(pts_pdf.numpy(), torch.zeros_like(pts_pdf).numpy(), s=90, c='red', marker='^',\n", " zorder=5, edgecolors='black', label='Interpolating points')\n", "plt.title('bc=(\"zero\", \"decay\"): vanishes at $x=0$, smooth tails towards $+\\\\infty$')\n", "plt.xlabel('x')\n", "plt.ylabel('B(x)')\n", "plt.legend(loc='upper right', fontsize=8, ncol=2)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8abdabbe", "metadata": {}, "source": [ "# Gaussian Basis Functions\n", "\n", "The `GaussianBasis` class implements a basis of Gaussian functions centered at the knots.\n", "$$ \\phi_i(x) = \\exp\\left(-\\frac{(x - \\mu_i)^2}{2\\sigma_i^2}\\right) $$\n", "where $\\mu_i$ are the knots and $\\sigma_i$ determines the width." ] }, { "cell_type": "code", "execution_count": 13, "id": "5aac0fc9", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:59.122192Z", "iopub.status.busy": "2026-08-21T13:07:59.122088Z", "iopub.status.idle": "2026-08-21T13:07:59.124626Z", "shell.execute_reply": "2026-08-21T13:07:59.124300Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gaussian Basis: GaussianBasis(n=10, delta_overlap=1)\n" ] } ], "source": [ "from torchtt.functional import GaussianBasis\n", "\n", "# Create Gaussian basis\n", "knots = torch.linspace(0, 1, 10)\n", "gaussian_basis = GaussianBasis(knots, delta_overlap=1)\n", "\n", "print(f\"Gaussian Basis: {gaussian_basis}\")" ] }, { "cell_type": "code", "execution_count": 14, "id": "0c5831a1", "metadata": { "execution": { "iopub.execute_input": "2026-08-21T13:07:59.125475Z", "iopub.status.busy": "2026-08-21T13:07:59.125388Z", "iopub.status.idle": "2026-08-21T13:07:59.228046Z", "shell.execute_reply": "2026-08-21T13:07:59.227592Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:7: SyntaxWarning: invalid escape sequence '\\p'\n", "<>:11: SyntaxWarning: invalid escape sequence '\\p'\n", "<>:7: SyntaxWarning: invalid escape sequence '\\p'\n", "<>:11: SyntaxWarning: invalid escape sequence '\\p'\n", "/tmp/ipykernel_319982/3916280675.py:7: SyntaxWarning: invalid escape sequence '\\p'\n", " plt.plot(x.numpy(), B_gauss[i].numpy(), label=f'$\\phi_{{{i}}}$')\n", "/tmp/ipykernel_319982/3916280675.py:11: SyntaxWarning: invalid escape sequence '\\p'\n", " plt.ylabel('$\\phi(x)$')\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Evaluate and plot\n", "x = torch.linspace(-1, 2, 500, dtype=torch.float64)\n", "B_gauss = gaussian_basis(x)\n", "\n", "plt.figure(figsize=(10, 5))\n", "for i in range(B_gauss.shape[0]):\n", " plt.plot(x.numpy(), B_gauss[i].numpy(), label=f'$\\phi_{{{i}}}$')\n", "\n", "plt.title('Gaussian Basis Functions (delta_overlap=1)')\n", "plt.xlabel('x')\n", "plt.ylabel('$\\phi(x)$')\n", "plt.legend(loc='upper right', fontsize=8, ncol=2)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "torchTT (3.12.3.final.0)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }