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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9 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.
An adaptive test-space enrichment method for RVPINNs is developed with theoretical error bounds and a computable refinement indicator proven reliable under the saturation assumption for estimating the discrete-continuous Riesz discrepancy on elliptic problems.
SNMPBB adapts nonmonotone projected Barzilai-Borwein methods to symmetric NMF, proving convergence and demonstrating 6x speedups over SymANLS on synthetic data plus competitive or better results on real clustering benchmarks and large matrices.
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.
Optimal dynamic strategies derived for ambiguity-averse mean-variance investors in Black-Scholes markets with uncertain drifts and learning; ambiguity aversion reduces holdings in risky assets.
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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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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Neural network approximation in discrete dual norms with adaptive test spaces
An adaptive test-space enrichment method for RVPINNs is developed with theoretical error bounds and a computable refinement indicator proven reliable under the saturation assumption for estimating the discrete-continuous Riesz discrepancy on elliptic problems.
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A Nonmonotone Gradient-Based Algorithm for Symmetric Nonnegative Matrix Factorization and Graph Clustering
SNMPBB adapts nonmonotone projected Barzilai-Borwein methods to symmetric NMF, proving convergence and demonstrating 6x speedups over SymANLS on synthetic data plus competitive or better results on real clustering benchmarks and large matrices.
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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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Mean-Variance Optimization in Ambiguous Financial Markets with Learning
Optimal dynamic strategies derived for ambiguity-averse mean-variance investors in Black-Scholes markets with uncertain drifts and learning; ambiguity aversion reduces holdings in risky assets.
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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.