In linear detectable settings with nondegenerate noise, the MFEnKF contracts to the Gaussian subspace at explicit rates and its uniformly continuous moments coincide almost surely with the optimal filter in large time.
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9 Pith papers cite this work, alongside 923 external citations. Polarity classification is still indexing.
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Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
The Tan-HWG framework treats Hebbian plasticity as Wasserstein minimizing movements of probability measures, with sequential stability conditions on Hebbian energies enabling projections that recover classical rules and explain synaptic competition.
WaveDiff with wavefront feature projection recovers WFE from noisy undersampled in-focus observations at ~3% error, a tenfold improvement over the prior version.
Introduces Wasserstein Tangential PCA (WT-PCA) as a variational dynamical approach to log-PCA on the Wasserstein space and derives its empirical statistical convergence rate in 2-Wasserstein distance.
Mixing unconditional Gaussian noise with a κ-conditioned source during training of rectified flows reduces path curvature, yielding 12% better FID scores and faster sampling than standard rectified flows.
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
Proves Monge well-posedness and OT-map regularity for linear-quadratic costs (extending Hindawi-Pomet-Rifford 2011 to non-negative costs) and obtains general entropy interpolation inequalities.
TabGRAA applies group-relative advantage alignment in an iterative reward-guided post-training loop to improve tabular language model generators on fidelity, utility, and privacy trade-offs across five benchmarks.
citing papers explorer
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Large-time behavior and accuracy of the Mean-Field Ensemble Kalman Filter in the Linear Detectable Setting
In linear detectable settings with nondegenerate noise, the MFEnKF contracts to the Gaussian subspace at explicit rates and its uniformly continuous moments coincide almost surely with the optimal filter in large time.
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Fast Computation of Free-Support Wasserstein Medians
Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
-
A Wasserstein Geometric Framework for Hebbian Plasticity
The Tan-HWG framework treats Hebbian plasticity as Wasserstein minimizing movements of probability measures, with sequential stability conditions on Hebbian energies enabling projections that recover classical rules and explain synaptic competition.
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Point spread function wavefront recovery from in-focus stellar observations
WaveDiff with wavefront feature projection recovers WFE from noisy undersampled in-focus observations at ~3% error, a tenfold improvement over the prior version.
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Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergence
Introduces Wasserstein Tangential PCA (WT-PCA) as a variational dynamical approach to log-PCA on the Wasserstein space and derives its empirical statistical convergence rate in 2-Wasserstein distance.
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MixFlow: Mixed Source Distributions Improve Rectified Flows
Mixing unconditional Gaussian noise with a κ-conditioned source during training of rectified flows reduces path curvature, yielding 12% better FID scores and faster sampling than standard rectified flows.
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Density Evolution: A Multiscale View of Density Estimation
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
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Linear quadratic optimal transport and interpolation inequalities
Proves Monge well-posedness and OT-map regularity for linear-quadratic costs (extending Hindawi-Pomet-Rifford 2011 to non-negative costs) and obtains general entropy interpolation inequalities.
-
Self-Improving Tabular Language Models via Iterative Reward-Guided Post-Training
TabGRAA applies group-relative advantage alignment in an iterative reward-guided post-training loop to improve tabular language model generators on fidelity, utility, and privacy trade-offs across five benchmarks.