Cross-correlation of SPT-3G D1 CMB lensing and DES Y3 galaxy lensing measures S8 = 0.833^{+0.047}_{-0.061} at 14 sigma using polarization-only reconstruction, consistent with Planck and DES Y3.
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Unified framework proves the score function yields the minimum-variance unbiased shear estimator and that response-weighted inverse-variance weights minimize shape noise independent of galaxy shape distributions, with RDSM reducing noise by ~17.5% at LSST depth.
UNIONS-3500 weak lensing data yields S_8 = 0.831^{+0.067}_{-0.078} in flat LCDM from 2D cosmic shear, consistent with Planck within 1 sigma.
Galaxy clusters have an average projected ellipticity of 0.310 with axis ratio 0.527, showing no significant mass or redshift dependence, measured via weak lensing on DES Y3 data and verified with mocks.
Edge discontinuities in coadds cause significant shear biases only in extreme cases such as two-input-image stacks or 25% PSF size jumps, and these cases can be flagged and removed with a simple PSF variation statistic.
AnaCal recovers input shear with low bias in high-shear cluster regimes under LSST-like conditions, producing 0.24% mean mass bias.
UNIONS r-band data constrains S8 to 0.891^{+0.057}_{-0.084} via 2D harmonic-space cosmic shear, consistent with Planck at 0.79 sigma after modeling baryonic feedback and intrinsic alignments.
Simulation pipeline for SKA-Mid radio galaxies shows RadioLensfit and DeepShape recover shapes with multiplicative shear bias of a few 10^{-2} and additive bias of 10^{-4}.
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