M³C replaces the hard hyperparameter optimization with a sequence of simpler problems using a majorant for the log-determinant approximated via Monte Carlo, with proven high-probability convergence to a critical point under assumptions.
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6 Pith papers cite this work. Polarity classification is still indexing.
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A hypernetwork conditions a conservative-form CNN to predict WENO5 weights from mesh and initial-condition metadata, preserving conservation and generalizing across resolutions for 1D hyperbolic conservation laws.
A discrete-time constant flux condition on the heat equation forces the domain to be a ball under suitable regularity.
Proposes GSAV-GBDFk ensemble schemes for the Navier-Stokes-Darcy system with random tensors that deliver high-order accuracy, long-time stability without time-step restrictions, and efficiency via shared matrices across realizations.
A constrained hypothesis-class framework for identifying mesoscopic dynamics from data, backed by uniform well-posedness and stability guarantees derived from a generalized Onsager principle.
Analysis of a bacterial persister model reveals a structure-independent threshold separating extinction from persistence.
citing papers explorer
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A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
M³C replaces the hard hyperparameter optimization with a sequence of simpler problems using a majorant for the log-determinant approximated via Monte Carlo, with proven high-probability convergence to a critical point under assumptions.
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Hypernetwork-Conditioned WENO5 Conservative-Form CNNs for One-Dimensional Conservation Laws
A hypernetwork conditions a conservative-form CNN to predict WENO5 weights from mesh and initial-condition metadata, preserving conservation and generalizing across resolutions for 1D hyperbolic conservation laws.
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A discrete-time overdetermined problem for the heat equation
A discrete-time constant flux condition on the heat equation forces the domain to be a ball under suitable regularity.
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High-order, long-time stable and parallel decoupled GBDF$k$ SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors
Proposes GSAV-GBDFk ensemble schemes for the Navier-Stokes-Darcy system with random tensors that deliver high-order accuracy, long-time stability without time-step restrictions, and efficiency via shared matrices across realizations.
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Hypothesis-driven construction of mesoscopic dynamics
A constrained hypothesis-class framework for identifying mesoscopic dynamics from data, backed by uniform well-posedness and stability guarantees derived from a generalized Onsager principle.
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Analysis of persistence thresholds for a nonlocal PDE--ODE model of bacterial persister cells
Analysis of a bacterial persister model reveals a structure-independent threshold separating extinction from persistence.