{ "cells": [ { "cell_type": "markdown", "id": "3ad3a7d1", "metadata": {}, "source": [ "# Deep TT Density demo\n", "\n", "The `torchtt.nn.TTDensityLayer` represents a probability density as a **normalized squared functional Tensor Train** — a \"Born-machine\" density.\n", "\n", "Given univariate basis functions $\\{\\phi^{(k)}_i\\}_{i=1}^{N_k}$ for every dimension $k = 1, \\dots, d$ (here Gaussians), we build a scalar model function\n", "\n", "$$ f(x_1, \\dots, x_d) = \\sum_{i_1=1}^{N_1} \\cdots \\sum_{i_d=1}^{N_d} G_{i_1 \\dots i_d}\\, \\phi^{(1)}_{i_1}(x_1) \\cdots \\phi^{(d)}_{i_d}(x_d), $$\n", "\n", "whose coefficient tensor $G$ is stored in the **Tensor-Train** format with cores $G^{(k)} \\in \\mathbb{R}^{R_k \\times N_k \\times R_{k+1}}$ and $R_1 = R_{d+1} = 1$. The density is the normalized square\n", "\n", "$$ p_\\text{ref}(x) = \\frac{f(x)^2}{\\int f(y)^2\\, dy}. $$\n", "\n", "Squaring guarantees non-negativity, and the normalizer $Z = \\int f^2$ is available in closed form from the cores and the basis integration weights $w^{(k)}_i = \\int \\phi^{(k)}_i$, so $p_\\text{ref}$ integrates to $1$ by construction.\n", "\n", "Optionally a **diffeomorphism** $T$ (a smooth, invertible change of variables) is applied, yielding the push-forward density through the change-of-variables formula\n", "\n", "$$ p(x) = p_\\text{ref}\\big(T(x)\\big)\\, \\big|\\det J_T(x)\\big|. $$\n", "\n", "The transform lets a low-rank reference density represent correlated or curved distributions. Because the cores are meant to be produced by an upstream neural network (hence *deep* TT), the layer is an ordinary `torch.nn.Module`: it takes a **flat parameter vector** — the flattened TT cores followed by the transform parameters — together with the evaluation points $x$, and returns $p(x)$. A network can thus emit a different density for every element of a batch." ] }, { "cell_type": "code", "execution_count": 1, "id": "77175324", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:23.854340Z", "iopub.status.busy": "2026-07-08T10:53:23.854257Z", "iopub.status.idle": "2026-07-08T10:53:24.967629Z", "shell.execute_reply": "2026-07-08T10:53:24.967118Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import torch\n", "import matplotlib.pyplot as plt\n", "\n", "import torchtt\n", "import torchtt.functional\n", "from torchtt.nn import (\n", " TTDensityLayer,\n", " AffineTransform,\n", " Rank1Shear,\n", " SinhArcsinhWarp,\n", " TriangularPolyShear,\n", " ComposedTransform,\n", ")" ] }, { "cell_type": "markdown", "id": "f0e2c5ec", "metadata": {}, "source": [ "## The reference density: basis and layer\n", "\n", "We work in $d = 2$. Each dimension is given a **Gaussian basis** centred on a uniform grid of $N_k$ points on $[0, 1]$; `delta_overlap=1` sets every Gaussian's width to the spacing of its immediate neighbour, so adjacent bumps overlap smoothly. The TT ranks `R = [1, 5, 1]` allow a bond rank of $5$ between the two modes, which controls how much correlation between $x_1$ and $x_2$ the density can capture.\n", "\n", "The flattened TT cores contain $\\sum_k R_k N_k R_{k+1}$ numbers; we draw them once as `theta_core` and reuse this single reference density throughout, appending a different transform's parameters after it in each section below." ] }, { "cell_type": "code", "execution_count": 2, "id": "6ea58f87", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:24.969036Z", "iopub.status.busy": "2026-07-08T10:53:24.968872Z", "iopub.status.idle": "2026-07-08T10:53:24.973916Z", "shell.execute_reply": "2026-07-08T10:53:24.973533Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n" ] } ], "source": [ "torch.manual_seed(0)\n", "\n", "dim = 2\n", "N = [10, 11] # number of basis functions per dimension\n", "R = [1, 5, 1] # TT ranks (bond rank 5 between the two modes)\n", "\n", "basis = [\n", " torchtt.functional.GaussianBasis(torch.linspace(0, 1, N[0]), delta_overlap=1),\n", " torchtt.functional.GaussianBasis(torch.linspace(0, 1, N[1]), delta_overlap=1),\n", "]\n", "\n", "# The flattened TT cores have this many entries; every layer below appends its\n", "# own transform parameters after them.\n", "n_core = sum(n * r0 * r1 for n, r0, r1 in zip(N, R, R[1:]))\n", "theta_core = torch.rand(n_core) # one shared reference density, reused everywhere\n", "\n", "print(f\"TT-core parameters: {n_core}\")" ] }, { "cell_type": "markdown", "id": "ff34efef", "metadata": {}, "source": [ "## Checking the normalization\n", "\n", "The flat input vector is laid out as $[\\,\\text{TT cores}\\ |\\ \\text{transform params}\\,]$. We are not training here, so we simply draw one random parameter vector (the shared cores plus a random **affine** transform $z = R(\\theta)\\,\\mathrm{diag}(e^{a})\\,x + b$), broadcast it across a batch of $M = 2^{18}$ points, and confirm the density is normalized with a Monte-Carlo estimate\n", "\n", "$$ \\int_\\Omega p(x)\\, dx \\;\\approx\\; \\frac{|\\Omega|}{M} \\sum_{m=1}^{M} p\\big(x^{(m)}\\big), \\qquad x^{(m)} \\sim \\mathrm{Unif}(\\Omega), $$\n", "\n", "on a square $\\Omega$ of area $|\\Omega| = 3^2$ centred on the affine offset $b$ so it sits over the density's mass. The estimate should come out close to $1$." ] }, { "cell_type": "code", "execution_count": 3, "id": "04115f1c", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:24.974913Z", "iopub.status.busy": "2026-07-08T10:53:24.974820Z", "iopub.status.idle": "2026-07-08T10:53:25.655759Z", "shell.execute_reply": "2026-07-08T10:53:25.655375Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pdf batch shape: (262144,)\n", "Monte-Carlo integral (expected ~1): 1.0053\n" ] } ], "source": [ "transform = AffineTransform(dim)\n", "layer = TTDensityLayer(N, R, basis, transform=transform)\n", "\n", "n_samples = 2**18\n", "theta_affine = torch.rand(transform.input_requirement())\n", "params = torch.cat([theta_core, theta_affine])\n", "offset = theta_affine[-dim:] # the affine translation b\n", "\n", "tts = params.unsqueeze(0).expand(n_samples, -1)\n", "box = 3.0\n", "xs = torch.rand(n_samples, dim) * box - box / 2 + offset # box centred on the mass\n", "pdf_val = layer(tts, xs)\n", "\n", "integral = pdf_val.sum() / n_samples * box**dim\n", "print(\"pdf batch shape:\", tuple(pdf_val.shape))\n", "print(f\"Monte-Carlo integral (expected ~1): {integral:.4f}\")" ] }, { "cell_type": "markdown", "id": "a5186038", "metadata": {}, "source": [ "## Transformation and density\n", "\n", "From here on we tour the diffeomorphisms available in `torchtt.nn`. Each one plugs into a `TTDensityLayer` the same way, so we keep the **same reference cores** `theta_core` and only change the transform tail.\n", "\n", "For every transform we draw two panels over a common window: on the **left** the displacement field $z - x = T(x) - x$ (how the map moves points), and on the **right** the resulting density $p(x) = p_\\text{ref}(T(x))\\,|\\det J_T(x)|$. We start with the affine map used above." ] }, { "cell_type": "code", "execution_count": 4, "id": "c5801121", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:25.657042Z", "iopub.status.busy": "2026-07-08T10:53:25.656939Z", "iopub.status.idle": "2026-07-08T10:53:25.852049Z", "shell.execute_reply": "2026-07-08T10:53:25.851661Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n", "transform parameters: 5\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reuse the affine transform, layer and parameters from the check above.\n", "print(f\"TT-core parameters: {n_core}\")\n", "print(f\"transform parameters: {transform.input_requirement()}\")\n", "\n", "x0, x1 = offset[0].item() - 1.5, offset[0].item() + 1.5\n", "y0, y1 = offset[1].item() - 1.5, offset[1].item() + 1.5\n", "\n", "# left panel: the transformation's displacement field z - x (20 x 20 grid)\n", "qx, qy = torch.linspace(x0, x1, 20), torch.linspace(y0, y1, 20)\n", "Xq, Yq = torch.meshgrid(qx, qy, indexing=\"ij\")\n", "grid_q = torch.stack((Xq.flatten(), Yq.flatten()), dim=1)\n", "z, _ = transform(grid_q, theta_affine.expand(grid_q.shape[0], -1))\n", "U = (z[:, 0] - grid_q[:, 0]).reshape(20, 20)\n", "V = (z[:, 1] - grid_q[:, 1]).reshape(20, 20)\n", "\n", "# right panel: the density p(x) (200 x 200 grid)\n", "gx, gy = torch.linspace(x0, x1, 200), torch.linspace(y0, y1, 200)\n", "Xg, Yg = torch.meshgrid(gx, gy, indexing=\"ij\")\n", "grid_g = torch.stack((Xg.flatten(), Yg.flatten()), dim=1)\n", "full_params = torch.cat([theta_core, theta_affine])\n", "with torch.no_grad():\n", " pdf = layer(full_params.unsqueeze(0).expand(grid_g.shape[0], -1), grid_g).reshape(200, 200)\n", "\n", "fig, (ax_t, ax_p) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax_t.quiver(Xq.numpy(), Yq.numpy(), U.numpy(), V.numpy(), color=\"tab:blue\", alpha=0.7)\n", "ax_t.set_title(\"transformation $z - x$\")\n", "cf = ax_p.contourf(Xg.numpy(), Yg.numpy(), pdf.numpy(), levels=50)\n", "fig.colorbar(cf, ax=ax_p, label=\"density\")\n", "ax_p.set_title(\"density $p(x)$\")\n", "for ax in (ax_t, ax_p):\n", " ax.set_xlabel(\"$x_1$\")\n", " ax.set_ylabel(\"$x_2$\")\n", " ax.set_aspect(\"equal\")\n", "fig.suptitle(\"Affine transform\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "db629b11", "metadata": {}, "source": [ "## Rank-1 shear\n", "\n", "At low rank the reference density is restricted to fairly generic shapes (roughly a rotated, scaled blob). A **nonlinear** diffeomorphism can bend it into curved distributions such as the classic \"banana\".\n", "\n", "`Rank1Shear` is a volume-preserving rank-1 shear\n", "\n", "$$ z = x + u\\, g(v^\\top x + c), \\qquad g(t) = \\sum_{p=1}^{D} \\alpha_p\\, t^p, $$\n", "\n", "where $u$ is internally projected orthogonally to $v$ so that $v^\\top u = 0$ and hence $\\det J = 1$. With $u = [1, 0]$, $v = [0, 1]$, $c = 0$ and $g(t) = t^2$ it becomes $(x_1, x_2) \\mapsto (x_1 + x_2^2,\\ x_2)$ — a parabolic shear along the first axis, with parameter vector $[u_x, u_y, v_x, v_y, c, \\alpha_1, \\alpha_2]$." ] }, { "cell_type": "code", "execution_count": 5, "id": "fc54eef7", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:25.852967Z", "iopub.status.busy": "2026-07-08T10:53:25.852884Z", "iopub.status.idle": "2026-07-08T10:53:26.222972Z", "shell.execute_reply": "2026-07-08T10:53:26.222652Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n", "transform parameters: 7\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shear = Rank1Shear(dim, degree=2)\n", "layer_shear = TTDensityLayer(N, R, basis, transform=shear)\n", "\n", "# [u_x, u_y, v_x, v_y, c, alpha_1, alpha_2]: u=[1,0], v=[0,1], g(t)=t**2\n", "shear_params = torch.tensor([1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0])\n", "\n", "print(f\"TT-core parameters: {n_core}\")\n", "print(f\"transform parameters: {shear.input_requirement()}\")\n", "\n", "x0, x1, y0, y1 = -1.5, 1.5, -0.5, 1.5\n", "\n", "# left panel: the transformation's displacement field z - x (20 x 20 grid)\n", "qx, qy = torch.linspace(x0, x1, 20), torch.linspace(y0, y1, 20)\n", "Xq, Yq = torch.meshgrid(qx, qy, indexing=\"ij\")\n", "grid_q = torch.stack((Xq.flatten(), Yq.flatten()), dim=1)\n", "z, _ = shear(grid_q, shear_params.expand(grid_q.shape[0], -1))\n", "U = (z[:, 0] - grid_q[:, 0]).reshape(20, 20)\n", "V = (z[:, 1] - grid_q[:, 1]).reshape(20, 20)\n", "\n", "# right panel: the density p(x) (200 x 200 grid)\n", "gx, gy = torch.linspace(x0, x1, 200), torch.linspace(y0, y1, 200)\n", "Xg, Yg = torch.meshgrid(gx, gy, indexing=\"ij\")\n", "grid_g = torch.stack((Xg.flatten(), Yg.flatten()), dim=1)\n", "full_params = torch.cat([theta_core, shear_params])\n", "with torch.no_grad():\n", " pdf = layer_shear(full_params.unsqueeze(0).expand(grid_g.shape[0], -1), grid_g).reshape(200, 200)\n", "\n", "fig, (ax_t, ax_p) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax_t.quiver(Xq.numpy(), Yq.numpy(), U.numpy(), V.numpy(), color=\"tab:blue\", alpha=0.7)\n", "ax_t.set_title(\"transformation $z - x$\")\n", "cf = ax_p.contourf(Xg.numpy(), Yg.numpy(), pdf.numpy(), levels=50)\n", "fig.colorbar(cf, ax=ax_p, label=\"density\")\n", "ax_p.set_title(\"density $p(x)$\")\n", "for ax in (ax_t, ax_p):\n", " ax.set_xlabel(\"$x_1$\")\n", " ax.set_ylabel(\"$x_2$\")\n", " ax.set_aspect(\"equal\")\n", "fig.suptitle(\"Rank-1 shear (banana)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "85d550ee", "metadata": {}, "source": [ "## Sinh-arcsinh warp\n", "\n", "`SinhArcsinhWarp` acts on each coordinate independently,\n", "\n", "$$ z_i = \\sinh\\!\\big(e^{s_i}\\,\\operatorname{asinh}(x_i) + b_i\\big), $$\n", "\n", "with per-axis parameters $[s_1, s_2, b_1, b_2]$. The offset $b_i$ controls the **skewness** and the log-scale $s_i$ the **tail weight** along axis $i$. Unlike the shears it has a non-trivial Jacobian, $\\det J = \\prod_i e^{s_i}\\cosh(\\cdot)/\\sqrt{1 + x_i^2}$." ] }, { "cell_type": "code", "execution_count": 6, "id": "5690914e", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:26.224068Z", "iopub.status.busy": "2026-07-08T10:53:26.223923Z", "iopub.status.idle": "2026-07-08T10:53:26.346776Z", "shell.execute_reply": "2026-07-08T10:53:26.346428Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n", "transform parameters: 4\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "warp = SinhArcsinhWarp(dim)\n", "layer_warp = TTDensityLayer(N, R, basis, transform=warp)\n", "\n", "# [s_1, s_2, b_1, b_2]: per-axis log-scale (tails) and offset (skew)\n", "warp_params = torch.tensor([0.5, -0.4, 0.6, 0.0])\n", "\n", "print(f\"TT-core parameters: {n_core}\")\n", "print(f\"transform parameters: {warp.input_requirement()}\")\n", "\n", "x0, x1, y0, y1 = -1.0, 0.6, -0.7, 2.7\n", "\n", "# left panel: the transformation's displacement field z - x (20 x 20 grid)\n", "qx, qy = torch.linspace(x0, x1, 20), torch.linspace(y0, y1, 20)\n", "Xq, Yq = torch.meshgrid(qx, qy, indexing=\"ij\")\n", "grid_q = torch.stack((Xq.flatten(), Yq.flatten()), dim=1)\n", "z, _ = warp(grid_q, warp_params.expand(grid_q.shape[0], -1))\n", "U = (z[:, 0] - grid_q[:, 0]).reshape(20, 20)\n", "V = (z[:, 1] - grid_q[:, 1]).reshape(20, 20)\n", "\n", "# right panel: the density p(x) (200 x 200 grid)\n", "gx, gy = torch.linspace(x0, x1, 200), torch.linspace(y0, y1, 200)\n", "Xg, Yg = torch.meshgrid(gx, gy, indexing=\"ij\")\n", "grid_g = torch.stack((Xg.flatten(), Yg.flatten()), dim=1)\n", "full_params = torch.cat([theta_core, warp_params])\n", "with torch.no_grad():\n", " pdf = layer_warp(full_params.unsqueeze(0).expand(grid_g.shape[0], -1), grid_g).reshape(200, 200)\n", "\n", "fig, (ax_t, ax_p) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax_t.quiver(Xq.numpy(), Yq.numpy(), U.numpy(), V.numpy(), color=\"tab:blue\", alpha=0.7)\n", "ax_t.set_title(\"transformation $z - x$\")\n", "cf = ax_p.contourf(Xg.numpy(), Yg.numpy(), pdf.numpy(), levels=50)\n", "fig.colorbar(cf, ax=ax_p, label=\"density\")\n", "ax_p.set_title(\"density $p(x)$\")\n", "for ax in (ax_t, ax_p):\n", " ax.set_xlabel(\"$x_1$\")\n", " ax.set_ylabel(\"$x_2$\")\n", " ax.set_aspect(\"equal\")\n", "fig.suptitle(\"Sinh-arcsinh warp\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a01f8b17", "metadata": {}, "source": [ "## Triangular polynomial shear\n", "\n", "`TriangularPolyShear` is a Knothe-Rosenblatt map: each coordinate is shifted by a polynomial of the *later* coordinates,\n", "\n", "$$ z_i = x_i + \\sum_{j>i} q_{ij}(x_j), \\qquad q_{ij}(t) = \\sum_{p=1}^{D} \\beta_{ij,p}\\, t^p, $$\n", "\n", "which is triangular and hence volume-preserving ($\\det J = 1$). In 2-D a single polynomial $q(x_2)$ shifts $x_1$; where the banana used $q(t) = t^2$, a **cubic** $q$ can bend the density into an S-shape." ] }, { "cell_type": "code", "execution_count": 7, "id": "a183dca4", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:26.347638Z", "iopub.status.busy": "2026-07-08T10:53:26.347551Z", "iopub.status.idle": "2026-07-08T10:53:26.464890Z", "shell.execute_reply": "2026-07-08T10:53:26.464564Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n", "transform parameters: 3\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "poly_shear = TriangularPolyShear(dim, degree=3)\n", "layer_poly = TTDensityLayer(N, R, basis, transform=poly_shear)\n", "\n", "# [beta_1, beta_2, beta_3]: q(t) = beta_1 t + beta_2 t**2 + beta_3 t**3\n", "poly_params = torch.tensor([3.0, -6.0, 4.0])\n", "\n", "print(f\"TT-core parameters: {n_core}\")\n", "print(f\"transform parameters: {poly_shear.input_requirement()}\")\n", "\n", "x0, x1, y0, y1 = -2.5, 2.5, -0.4, 1.4\n", "\n", "# left panel: the transformation's displacement field z - x (20 x 20 grid)\n", "qx, qy = torch.linspace(x0, x1, 20), torch.linspace(y0, y1, 20)\n", "Xq, Yq = torch.meshgrid(qx, qy, indexing=\"ij\")\n", "grid_q = torch.stack((Xq.flatten(), Yq.flatten()), dim=1)\n", "z, _ = poly_shear(grid_q, poly_params.expand(grid_q.shape[0], -1))\n", "U = (z[:, 0] - grid_q[:, 0]).reshape(20, 20)\n", "V = (z[:, 1] - grid_q[:, 1]).reshape(20, 20)\n", "\n", "# right panel: the density p(x) (200 x 200 grid)\n", "gx, gy = torch.linspace(x0, x1, 200), torch.linspace(y0, y1, 200)\n", "Xg, Yg = torch.meshgrid(gx, gy, indexing=\"ij\")\n", "grid_g = torch.stack((Xg.flatten(), Yg.flatten()), dim=1)\n", "full_params = torch.cat([theta_core, poly_params])\n", "with torch.no_grad():\n", " pdf = layer_poly(full_params.unsqueeze(0).expand(grid_g.shape[0], -1), grid_g).reshape(200, 200)\n", "\n", "fig, (ax_t, ax_p) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax_t.quiver(Xq.numpy(), Yq.numpy(), U.numpy(), V.numpy(), color=\"tab:blue\", alpha=0.7)\n", "ax_t.set_title(\"transformation $z - x$\")\n", "cf = ax_p.contourf(Xg.numpy(), Yg.numpy(), pdf.numpy(), levels=50)\n", "fig.colorbar(cf, ax=ax_p, label=\"density\")\n", "ax_p.set_title(\"density $p(x)$\")\n", "for ax in (ax_t, ax_p):\n", " ax.set_xlabel(\"$x_1$\")\n", " ax.set_ylabel(\"$x_2$\")\n", " ax.set_aspect(\"equal\")\n", "fig.suptitle(\"Cubic triangular shear (S-shape)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ab1d3d9d", "metadata": {}, "source": [ "## Composing transforms\n", "\n", "`ComposedTransform` chains several diffeomorphisms, applying them in order and multiplying their Jacobian determinants; its parameter vector is simply the concatenation of the individual ones. Here an affine **rotation** is followed by the rank-1 **shear**, producing a tilted banana." ] }, { "cell_type": "code", "execution_count": 8, "id": "c5264a31", "metadata": { "execution": { "iopub.execute_input": "2026-07-08T10:53:26.465747Z", "iopub.status.busy": "2026-07-08T10:53:26.465659Z", "iopub.status.idle": "2026-07-08T10:53:26.596777Z", "shell.execute_reply": "2026-07-08T10:53:26.596349Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TT-core parameters: 105\n", "transform parameters: 12\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "composed = ComposedTransform([AffineTransform(dim), Rank1Shear(dim, degree=2)])\n", "layer_comp = TTDensityLayer(N, R, basis, transform=composed)\n", "\n", "# affine rotation by 0.7 rad, then the banana shear (parameters concatenated)\n", "affine_rot = torch.tensor([0.7, 0.0, 0.0, 0.0, 0.0])\n", "shear_bend = torch.tensor([1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0])\n", "comp_params = torch.cat([affine_rot, shear_bend])\n", "\n", "print(f\"TT-core parameters: {n_core}\")\n", "print(f\"transform parameters: {composed.input_requirement()}\")\n", "\n", "x0, x1, y0, y1 = -0.6, 1.5, -1.3, 2.3\n", "\n", "# left panel: the transformation's displacement field z - x (20 x 20 grid)\n", "qx, qy = torch.linspace(x0, x1, 20), torch.linspace(y0, y1, 20)\n", "Xq, Yq = torch.meshgrid(qx, qy, indexing=\"ij\")\n", "grid_q = torch.stack((Xq.flatten(), Yq.flatten()), dim=1)\n", "z, _ = composed(grid_q, comp_params.expand(grid_q.shape[0], -1))\n", "U = (z[:, 0] - grid_q[:, 0]).reshape(20, 20)\n", "V = (z[:, 1] - grid_q[:, 1]).reshape(20, 20)\n", "\n", "# right panel: the density p(x) (200 x 200 grid)\n", "gx, gy = torch.linspace(x0, x1, 200), torch.linspace(y0, y1, 200)\n", "Xg, Yg = torch.meshgrid(gx, gy, indexing=\"ij\")\n", "grid_g = torch.stack((Xg.flatten(), Yg.flatten()), dim=1)\n", "full_params = torch.cat([theta_core, comp_params])\n", "with torch.no_grad():\n", " pdf = layer_comp(full_params.unsqueeze(0).expand(grid_g.shape[0], -1), grid_g).reshape(200, 200)\n", "\n", "fig, (ax_t, ax_p) = plt.subplots(1, 2, figsize=(12, 5))\n", "ax_t.quiver(Xq.numpy(), Yq.numpy(), U.numpy(), V.numpy(), color=\"tab:blue\", alpha=0.7)\n", "ax_t.set_title(\"transformation $z - x$\")\n", "cf = ax_p.contourf(Xg.numpy(), Yg.numpy(), pdf.numpy(), levels=50)\n", "fig.colorbar(cf, ax=ax_p, label=\"density\")\n", "ax_p.set_title(\"density $p(x)$\")\n", "for ax in (ax_t, ax_p):\n", " ax.set_xlabel(\"$x_1$\")\n", " ax.set_ylabel(\"$x_2$\")\n", " ax.set_aspect(\"equal\")\n", "fig.suptitle(\"Affine + rank-1 shear (tilted banana)\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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 }