{ "cells": [ { "cell_type": "markdown", "id": "ks03_01", "metadata": {}, "source": [ "# 03 - Kaiser-Squires: Physics and Practice\n", "\n", "## Learning Objectives\n", "\n", "By the end of this tutorial, you should be able to:\n", "\n", "1. Explain what the Kaiser-Squires (KS) inversion is reconstructing physically.\n", "2. Connect core KS assumptions to practical analysis choices in SMPy.\n", "3. Run KS in SMPy and interpret E/B maps, including smoothing tradeoffs." ] }, { "cell_type": "markdown", "id": "ks03_02", "metadata": {}, "source": [ "## Canonical Reference\n", "\n", "The foundational paper for this method is:\n", "\n", "- **Kaiser, N. & Squires, G. (1993)**, *Mapping the dark matter with weak gravitational lensing*, *The Astrophysical Journal*, **404**, 441-450. \n", " DOI: [10.1086/172297](https://doi.org/10.1086/172297) \n", " ADS: [1993ApJ...404..441K](https://ui.adsabs.harvard.edu/abs/1993ApJ...404..441K/abstract)" ] }, { "cell_type": "markdown", "id": "ks03_03", "metadata": {}, "source": [ "## 1) Physics Primer\n", "\n", "Weak lensing maps how light from background galaxies is distorted by foreground mass.\n", "\n", "The local lensing distortion is described by the Jacobian\n", "\n", "$$\n", "\\mathbf{A}(\\boldsymbol{\\theta}) =\n", "\\begin{pmatrix}\n", "1-\\kappa-\\gamma_1 & -\\gamma_2 \\\\\n", "-\\gamma_2 & 1-\\kappa+\\gamma_1\n", "\\end{pmatrix}\n", "$$\n", "\n", "where:\n", "\n", "- $\\kappa$: convergence (projected surface-density contrast)\n", "- $\\gamma_1, \\gamma_2$: shear components\n", "\n", "Observed galaxy shapes estimate the **reduced shear**:\n", "\n", "$$\n", "\\mathbf{g} = \\frac{\\boldsymbol{\\gamma}}{1-\\kappa}\n", "$$\n", "\n", "In the weak regime ($|\\kappa| \\ll 1$), we often use $\\mathbf{g} \\approx \\boldsymbol{\\gamma}$.\n" ] }, { "cell_type": "markdown", "id": "ks03_04", "metadata": {}, "source": [ "## 2) KS Inversion in Fourier Space\n", "\n", "Define complex shear and convergence:\n", "\n", "$$\n", "\\gamma = \\gamma_1 + i\\gamma_2,\n", "\\qquad\n", "\\kappa = \\kappa_E + i\\kappa_B\n", "$$\n", "\n", "Kaiser-Squires uses the Fourier-space relation\n", "\n", "$$\n", "\\hat{\\gamma}(\\boldsymbol{\\ell}) = D(\\boldsymbol{\\ell})\\,\\hat{\\kappa}(\\boldsymbol{\\ell}),\n", "\\qquad\n", "D(\\boldsymbol{\\ell}) = \\frac{\\ell_1^2 - \\ell_2^2 + 2i\\ell_1\\ell_2}{\\ell_1^2 + \\ell_2^2}\n", "$$\n", "\n", "So the inversion is\n", "\n", "$$\n", "\\hat{\\kappa}(\\boldsymbol{\\ell}) = D^*(\\boldsymbol{\\ell})\\,\\hat{\\gamma}(\\boldsymbol{\\ell})\n", "$$\n", "\n", "The real part gives **E-mode** convergence (physical lensing signal), while the imaginary part gives **B-mode** (often used as a systematics diagnostic).\n" ] }, { "cell_type": "markdown", "id": "ks03_05", "metadata": {}, "source": [ "## 3) Practical Assumptions and Caveats\n", "\n", "Important assumptions behind basic KS usage:\n", "\n", "- Flat-sky approximation (appropriate for modest fields of view).\n", "- Finite survey boundaries can leak power and bias edges.\n", "- Smoothing reduces noise but also suppresses small-scale structure.\n", "- Mass-sheet degeneracy remains a fundamental lensing ambiguity.\n", "\n", "This is why diagnostics (especially B-mode behavior and sensitivity to smoothing) are part of good practice." ] }, { "cell_type": "markdown", "id": "ks03_06", "metadata": {}, "source": [ "## 4) Mapping Physics to SMPy Settings\n", "\n", "In SMPy, the main KS-relevant controls are:\n", "\n", "- `general.coordinate_system`: `radec` or `pixel`\n", "- `general.radec.resolution` (or API `pixel_scale`): angular map resolution\n", "- `methods.kaiser_squires.smoothing.sigma` (or API `smoothing`): Gaussian smoothing scale\n", "- `general.mode`: `['E']`, `['B']`, or `['E', 'B']`\n", "\n", "For this tutorial we will run in `radec`, produce both E and B maps, and compare multiple smoothing values." ] }, { "cell_type": "markdown", "id": "ks03_07a", "metadata": {}, "source": [ "## 5) SMPy Analysis Workflow\n", "\n", "A standard analysis workflow in SMPy is:\n", "\n", "1. Set data paths and shear/coordinate column names.\n", "2. Build a `Config` from method defaults and update the run parameters.\n", "3. Save the config for provenance, then execute `run(config)`.\n", "4. Inspect E/B outputs and iterate on smoothing and diagnostics.\n" ] }, { "cell_type": "code", "execution_count": 27, "id": "ks03_07", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SMPy version: 0.5.0\n", "Seed: 42\n", "Input data: /Users/vassig/research/SMPy/examples/data/forecast_lum_annular.fits\n", "Output root: /Users/vassig/research/SMPy/examples/outputs/tutorials\n" ] } ], "source": [ "from pathlib import Path\n", "import random\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import smpy\n", "from IPython.display import Image, display\n", "\n", "from smpy.config import Config\n", "from smpy.run import run\n", "\n", "# Set deterministic seeds for reproducible tutorial outputs.\n", "SEED = 42\n", "random.seed(SEED)\n", "np.random.seed(SEED)\n", "\n", "\n", "def find_repo_root(start: Path) -> Path:\n", " # Walk upward until we find the SMPy repository root markers.\n", " for candidate in [start, *start.parents]:\n", " if (candidate / \"setup.py\").exists() and (candidate / \"smpy\").is_dir():\n", " return candidate\n", " raise RuntimeError(\"Could not locate SMPy repository root.\")\n", "\n", "\n", "# Resolve input/output locations relative to the repository root.\n", "repo_root = find_repo_root(Path.cwd().resolve())\n", "data_file = repo_root / \"examples\" / \"data\" / \"forecast_lum_annular.fits\"\n", "artifacts_dir = repo_root / \"examples\" / \"outputs\" / \"tutorials\"\n", "artifacts_dir.mkdir(parents=True, exist_ok=True)\n", "\n", "# Print runtime context for quick verification in notebook output.\n", "print(f\"SMPy version: {smpy.__version__}\")\n", "print(f\"Seed: {SEED}\")\n", "print(f\"Input data: {data_file}\")\n", "print(f\"Output root: {artifacts_dir}\")\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "ks03_08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Configuration saved to: /Users/vassig/research/SMPy/examples/outputs/tutorials/tutorial03_ks_workflow.yaml\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_workflow_kaiser_squires_e_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_workflow_kaiser_squires_b_mode.png\n", "KS workflow run complete.\n", "E map shape: (38, 57)\n", "B map shape: (38, 57)\n", "E std: 0.04287568259826704\n", "B std: 0.03868921282648928\n", "Saved config snapshot: /Users/vassig/research/SMPy/examples/outputs/tutorials/tutorial03_ks_workflow.yaml\n" ] } ], "source": [ "base_name = \"tutorial03_ks_workflow\"\n", "\n", "workflow_config = Config.from_defaults(\"kaiser_squires\")\n", "workflow_config.update_from_kwargs(\n", " data=str(data_file),\n", " coord_system=\"radec\",\n", " pixel_scale=0.4,\n", " smoothing=2.0,\n", " g1_col=\"g1_Rinv\",\n", " g2_col=\"g2_Rinv\",\n", " weight_col=\"weight\",\n", " mode=[\"E\", \"B\"],\n", " save_plots=True,\n", " save_fits=False,\n", " output_dir=str(artifacts_dir),\n", " output_base_name=base_name,\n", ")\n", "\n", "workflow_config_path = artifacts_dir / \"tutorial03_ks_workflow.yaml\"\n", "workflow_config.save_config(workflow_config_path)\n", "\n", "result = run(workflow_config)\n", "\n", "print(\"KS workflow run complete.\")\n", "print(\"E map shape:\", result[\"maps\"][\"E\"].shape)\n", "print(\"B map shape:\", result[\"maps\"][\"B\"].shape)\n", "print(\"E std:\", float(np.nanstd(result[\"maps\"][\"E\"])))\n", "print(\"B std:\", float(np.nanstd(result[\"maps\"][\"B\"])))\n", "print(\"Saved config snapshot:\", workflow_config_path)\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "ks03_09", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Baseline SMPy plot outputs:\n", "- /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_workflow_kaiser_squires_e_mode.png\n", "- /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_workflow_kaiser_squires_b_mode.png\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ks_dir = artifacts_dir / \"kaiser_squires\"\n", "baseline_e_png = ks_dir / f\"{base_name}_kaiser_squires_e_mode.png\"\n", "baseline_b_png = ks_dir / f\"{base_name}_kaiser_squires_b_mode.png\"\n", "\n", "print(\"Baseline SMPy plot outputs:\")\n", "print(\"-\", baseline_e_png)\n", "print(\"-\", baseline_b_png)\n", "\n", "if baseline_e_png.exists() and baseline_b_png.exists():\n", " display(Image(filename=str(baseline_e_png)))\n", " display(Image(filename=str(baseline_b_png)))\n", "else:\n", " print(\"Expected PNG outputs were not found. Re-run the previous cell.\")" ] }, { "cell_type": "markdown", "id": "ks03_10", "metadata": {}, "source": [ "### Interpretation (Baseline)\n", "\n", "- The E-mode map is your primary mass-reconstruction product.\n", "- The B-mode should generally be weaker and less spatially coherent than E-mode.\n", "- A B-mode of similar strength/structure to E-mode is a warning sign to investigate systematics.\n", "\n", "For parameter studies, the next section uses the Config API to run a controlled smoothing sweep.\n" ] }, { "cell_type": "code", "execution_count": 30, "id": "ks03_11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma1p0_kaiser_squires_e_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma1p0_kaiser_squires_b_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma2p0_kaiser_squires_e_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma2p0_kaiser_squires_b_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma4p0_kaiser_squires_e_mode.png\n", "Convergence map saved as PNG file: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma4p0_kaiser_squires_b_mode.png\n", "Saved summary table: /Users/vassig/research/SMPy/examples/outputs/tutorials/ks_smoothing_summary.csv\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " smoothing_sigma E_std B_std E_max_abs B_max_abs B_to_E_std_ratio\n", "0 1.0 0.079732 0.079208 0.339032 0.287085 0.993431\n", "1 2.0 0.042876 0.038689 0.165443 0.116255 0.902358\n", "2 4.0 0.021592 0.016111 0.069374 0.061914 0.746153" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smoothing_values = [1.0, 2.0, 4.0]\n", "rows = []\n", "run_records = []\n", "\n", "for sigma in smoothing_values:\n", " sigma_tag = str(sigma).replace(\".\", \"p\")\n", " run_name = f\"tutorial03_ks_sigma{sigma_tag}\"\n", "\n", " cfg = Config.from_defaults(\"kaiser_squires\")\n", " cfg.update_from_kwargs(\n", " data=str(data_file),\n", " coord_system=\"radec\",\n", " pixel_scale=0.4,\n", " smoothing=sigma,\n", " g1_col=\"g1_Rinv\",\n", " g2_col=\"g2_Rinv\",\n", " weight_col=\"weight\",\n", " mode=[\"E\", \"B\"],\n", " save_plots=True,\n", " save_fits=False,\n", " output_dir=str(artifacts_dir),\n", " output_base_name=run_name,\n", " )\n", "\n", " cfg.validate()\n", " res = run(cfg)\n", "\n", " e_map = res[\"maps\"][\"E\"]\n", " b_map = res[\"maps\"][\"B\"]\n", "\n", " rows.append(\n", " {\n", " \"smoothing_sigma\": sigma,\n", " \"E_std\": float(np.nanstd(e_map)),\n", " \"B_std\": float(np.nanstd(b_map)),\n", " \"E_max_abs\": float(np.nanmax(np.abs(e_map))),\n", " \"B_max_abs\": float(np.nanmax(np.abs(b_map))),\n", " \"B_to_E_std_ratio\": float(np.nanstd(b_map) / np.nanstd(e_map)),\n", " }\n", " )\n", "\n", " run_records.append(\n", " {\n", " \"sigma\": sigma,\n", " \"run_name\": run_name,\n", " \"e_png\": ks_dir / f\"{run_name}_kaiser_squires_e_mode.png\",\n", " \"b_png\": ks_dir / f\"{run_name}_kaiser_squires_b_mode.png\",\n", " }\n", " )\n", "\n", "summary = pd.DataFrame(rows).sort_values(\"smoothing_sigma\")\n", "summary_path = artifacts_dir / \"ks_smoothing_summary.csv\"\n", "summary.to_csv(summary_path, index=False)\n", "\n", "print(f\"Saved summary table: {summary_path}\")\n", "summary" ] }, { "cell_type": "code", "execution_count": 31, "id": "ks03_12", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "E-mode outputs across smoothing values:\n", "sigma=1.0: /Users/vassig/research/SMPy/examples/outputs/tutorials/kaiser_squires/tutorial03_ks_sigma1p0_kaiser_squires_e_mode.png\n" ] }, { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"E-mode outputs across smoothing values:\")\n", "for record in run_records:\n", " print(f\"sigma={record['sigma']}: {record['e_png']}\")\n", " if record[\"e_png\"].exists():\n", " display(Image(filename=str(record[\"e_png\"])))\n", " else:\n", " print(\" Missing file; rerun smoothing cell above.\")" ] }, { "cell_type": "markdown", "id": "ks03_14", "metadata": {}, "source": [ "## References\n", "\n", "- Kaiser, N. & Squires, G. (1993), *The Astrophysical Journal*, **404**, 441-450. DOI: [10.1086/172297](https://doi.org/10.1086/172297)\n", "- ADS entry: [1993ApJ...404..441K](https://ui.adsabs.harvard.edu/abs/1993ApJ...404..441K/abstract)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3" } }, "nbformat": 4, "nbformat_minor": 5 }