From 94fd31060774cb29531ee2ba0ca9d0b81654108d Mon Sep 17 00:00:00 2001 From: Martin Storath Date: Mon, 11 May 2026 10:02:56 +0000 Subject: [PATCH 1/2] Bump trove classifier to Production/Stable (cssd is on v1.0.2) --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 2eed631..7943fc5 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -22,7 +22,7 @@ keywords = [ "piecewise", ] classifiers = [ - "Development Status :: 4 - Beta", + "Development Status :: 5 - Production/Stable", "Intended Audience :: Science/Research", "License :: OSI Approved :: MIT License", "Operating System :: OS Independent", From c820545dadfb9be850c864032b7d8bae3fceb2b0 Mon Sep 17 00:00:00 2001 From: Martin Storath Date: Mon, 11 May 2026 10:11:32 +0000 Subject: [PATCH 2/2] Make release_smoke_test.ipynb honest + add CHANGELOG link defs MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Notebook fixes (same defect class as Pottslab#11): - Uncomment %pip install (was commented; cached run validated local source). - Use --upgrade cssd so the smoke test always exercises the latest published wheel rather than pinning to a specific historical version. - Add hard assertion that _core.__file__ contains 'site-packages' so the notebook fails loudly if accidentally run from a local checkout. - Strip all outputs and execution_count. The previous outputs showed '0.1.0 — smoke test OK' and a path inside the repo checkout, both misleading. Changelog hygiene: - Add reference-link definitions for [Unreleased], [1.0.2], [1.0.1] so the bracketed headings actually resolve to GitHub URLs. --- CHANGELOG.md | 4 + demos_py/release_smoke_test.ipynb | 141 +++++++----------------------- 2 files changed, 37 insertions(+), 108 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 71d6919..03e8f74 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -40,3 +40,7 @@ and Python consumers see a single coherent release history. ### Security - Built against `pyo3 >= 0.24.1` (closes GHSA-pph8-gcv7-4qj5, `PyString::from_object` buffer-overread). + +[Unreleased]: https://github.com/mstorath/CSSD/compare/v1.0.2...HEAD +[1.0.2]: https://github.com/mstorath/CSSD/releases/tag/v1.0.2 +[1.0.1]: https://github.com/mstorath/CSSD/releases/tag/v1.0.1 diff --git a/demos_py/release_smoke_test.ipynb b/demos_py/release_smoke_test.ipynb index 5ff28ab..46f4b5b 100644 --- a/demos_py/release_smoke_test.ipynb +++ b/demos_py/release_smoke_test.ipynb @@ -5,7 +5,7 @@ "id": "287d9c3c", "metadata": {}, "source": [ - "# `cssd` — release smoke test\n", + "# `cssd` \u2014 release smoke test\n", "\n", "Exercises the CSSD (cubic smoothing splines for discontinuous signals) Python API on small synthetic inputs to verify a release is functional. Useful as both:\n", "\n", @@ -27,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "6901ba0b", "metadata": { "execution": { @@ -37,17 +37,9 @@ "shell.execute_reply": "2026-05-07T12:34:03.834998Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Rust core loaded from: /Users/storath_fhws/Documents/__INBOX/2026-05-06_GitMaintenanceDevContainer/devcontainer/10-OwnRepos/CSSD/python/cssd/_cssd_core.abi3.so\n" - ] - } - ], + "outputs": [], "source": [ - "# %pip install cssd matplotlib --quiet\n", + "%pip install --upgrade cssd matplotlib --quiet\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -57,7 +49,10 @@ "\n", "# Verify the Rust extension is loaded.\n", "import cssd._cssd_core as _core\n", - "print('Rust core loaded from:', _core.__file__)" + "print('Rust core loaded from:', _core.__file__)\n", + "assert 'site-packages' in _core.__file__, (\n", + " f'cssd imported from local source, not from a wheel: {_core.__file__}'\n", + ")" ] }, { @@ -65,14 +60,14 @@ "id": "9b849d74", "metadata": {}, "source": [ - "## 2. Smooth-only regime (γ → ∞ ≡ classical smoothing spline)\n", + "## 2. Smooth-only regime (\u03b3 \u2192 \u221e \u2261 classical smoothing spline)\n", "\n", - "When the discontinuity penalty γ is set to `np.inf`, the model degenerates to the classical Reinsch smoothing spline — no jumps, just smoothness controlled by `p`." + "When the discontinuity penalty \u03b3 is set to `np.inf`, the model degenerates to the classical Reinsch smoothing spline \u2014 no jumps, just smoothness controlled by `p`." ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "f3c408f8", "metadata": { "execution": { @@ -82,18 +77,7 @@ "shell.execute_reply": "2026-05-07T12:34:03.960950Z" } }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "n = 60\n", "x = np.linspace(0, 2 * np.pi, n)\n", @@ -108,7 +92,7 @@ " ax.scatter(x, y, s=12, color='lightgray', label='noisy')\n", " ax.plot(x, y_clean, '--', color='black', linewidth=0.7, label='truth')\n", " ax.plot(xx, yy, color='C0', linewidth=2, label=f'p={p}')\n", - " ax.set_title(f'γ=∞, p={p}'); ax.legend(loc='upper right', fontsize=8)\n", + " ax.set_title(f'\u03b3=\u221e, p={p}'); ax.legend(loc='upper right', fontsize=8)\n", "plt.tight_layout(); plt.show()" ] }, @@ -119,12 +103,12 @@ "source": [ "## 3. With a discontinuity\n", "\n", - "A signal with a real jump. CSSD finds it; classical smoothing splines blur it. We compare γ=∞ (no jumps allowed) vs γ=1.0 (one jump permitted at low cost)." + "A signal with a real jump. CSSD finds it; classical smoothing splines blur it. We compare \u03b3=\u221e (no jumps allowed) vs \u03b3=1.0 (one jump permitted at low cost)." ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "b33650e2", "metadata": { "execution": { @@ -134,18 +118,7 @@ "shell.execute_reply": "2026-05-07T12:34:04.008024Z" } }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "n = 80\n", "x = np.linspace(0, 1, n)\n", @@ -159,10 +132,10 @@ "fig, ax = plt.subplots(figsize=(7, 3))\n", "ax.scatter(x, y, s=12, color='lightgray', label='noisy')\n", "ax.plot(x, y_truth, '--', color='black', linewidth=0.7, label='truth')\n", - "ax.plot(xx, out_no_jump.pp(xx).ravel(), color='C1', linewidth=1.5, label='γ=∞')\n", + "ax.plot(xx, out_no_jump.pp(xx).ravel(), color='C1', linewidth=1.5, label='\u03b3=\u221e')\n", "ax.plot(xx, out_with_jump.pp(xx).ravel(), color='C0', linewidth=2,\n", - " label=f'γ=1.0 (jumps={len(out_with_jump.discont)})')\n", - "ax.legend(); ax.set_title('CSSD recovers the discontinuity; γ=∞ blurs it')\n", + " label=f'\u03b3=1.0 (jumps={len(out_with_jump.discont)})')\n", + "ax.legend(); ax.set_title('CSSD recovers the discontinuity; \u03b3=\u221e blurs it')\n", "plt.tight_layout(); plt.show()\n", "\n", "assert len(out_with_jump.discont) == 1, 'expected exactly one discontinuity'" @@ -180,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "e819b32d", "metadata": { "execution": { @@ -190,18 +163,7 @@ "shell.execute_reply": "2026-05-07T12:34:04.105928Z" } }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "n = 100\n", "x = np.linspace(0, 1, n)\n", @@ -215,7 +177,7 @@ "yy = out.pp(xx).ravel()\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", - "ax.errorbar(x, y, yerr=delta, fmt='.', color='lightgray', capsize=2, markersize=4, label='noisy ± δ')\n", + "ax.errorbar(x, y, yerr=delta, fmt='.', color='lightgray', capsize=2, markersize=4, label='noisy \u00b1 \u03b4')\n", "ax.plot(x, y_truth, '--', color='black', linewidth=0.7, label='truth')\n", "ax.plot(xx, yy, color='C0', linewidth=2, label=f'CSSD (jumps={len(out.discont)})')\n", "for d in out.discont:\n", @@ -236,7 +198,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "28322cc5", "metadata": { "execution": { @@ -246,17 +208,7 @@ "shell.execute_reply": "2026-05-07T12:34:04.111013Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "max |coefs_FPVI - coefs_PELT| = 0.000e+00\n", - "max |breaks_FPVI - breaks_PELT| = 0.000e+00\n", - "discontinuity indices match exactly: True\n" - ] - } - ], + "outputs": [], "source": [ "out_fpvi = cssd.cssd(x, y, p=0.95, gamma=0.5, delta=delta, pruning='FPVI')\n", "out_pelt = cssd.cssd(x, y, p=0.95, gamma=0.5, delta=delta, pruning='PELT')\n", @@ -278,14 +230,14 @@ "id": "689ced73", "metadata": {}, "source": [ - "## 6. Automatic (p, γ) selection via cross-validation\n", + "## 6. Automatic (p, \u03b3) selection via cross-validation\n", "\n", - "`cssd_cv` runs simulated annealing over the (p, γ) plane, scoring each candidate by K-fold CV residual. Useful when you don't know the hyperparameters a priori. The 5-fold default is fast on small signals." + "`cssd_cv` runs simulated annealing over the (p, \u03b3) plane, scoring each candidate by K-fold CV residual. Useful when you don't know the hyperparameters a priori. The 5-fold default is fast on small signals." ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "53bd929f", "metadata": { "execution": { @@ -295,26 +247,7 @@ "shell.execute_reply": "2026-05-07T12:34:04.221717Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CV-selected (p, γ) = (0.000, 2.64e-11)\n", - "discontinuities found: 1\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "n_t = 80\n", "x_t = np.linspace(0, 1, n_t)\n", @@ -325,7 +258,7 @@ "p_star, gamma_star = cv_out.p, cv_out.gamma\n", "out_cv = cssd.cssd(x_t, y_t, p=p_star, gamma=gamma_star)\n", "\n", - "print(f'CV-selected (p, γ) = ({p_star:.3f}, {gamma_star:.3g})')\n", + "print(f'CV-selected (p, \u03b3) = ({p_star:.3f}, {gamma_star:.3g})')\n", "print(f'discontinuities found: {len(out_cv.discont)}')\n", "\n", "xx = np.linspace(x_t[0], x_t[-1], 300)\n", @@ -333,7 +266,7 @@ "ax.scatter(x_t, y_t, s=12, color='lightgray', label='noisy')\n", "ax.plot(x_t, y_truth_t, '--', color='black', linewidth=0.7, label='truth')\n", "ax.plot(xx, out_cv.pp(xx).ravel(), color='C0', linewidth=2,\n", - " label=f'CV: p={p_star:.2f}, γ={gamma_star:.2g}')\n", + " label=f'CV: p={p_star:.2f}, \u03b3={gamma_star:.2g}')\n", "ax.legend(); ax.set_title('Hyperparameters chosen by 5-fold CV')\n", "plt.tight_layout(); plt.show()" ] @@ -348,7 +281,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "0ccdda84", "metadata": { "execution": { @@ -358,18 +291,10 @@ "shell.execute_reply": "2026-05-07T12:34:04.225709Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cssd 0.1.0 — smoke test OK\n" - ] - } - ], + "outputs": [], "source": [ "import importlib.metadata\n", - "print(f'cssd {importlib.metadata.version(\"cssd\")} — smoke test OK')" + "print(f'cssd {importlib.metadata.version(\"cssd\")} \u2014 smoke test OK')" ] } ],