Frequency Security-Aware Production Scheduling of Utility-Scale Off-Grid Renewable P2H Systems Coordinating Heterogeneous Electrolyzers

This paper proposes a unified co-optimization framework for utility-scale off-grid renewable power-to-hydrogen systems that coordinates heterogeneous electrolyzers and other resources to maximize hydrogen production while ensuring frequency security through a novel system-level response model and stage-wise transient constraints.

Jie Zhu, Yiwei Qiu, Yangjun Zeng + 4 more2026-03-05🔢 math

Learning Approximate Nash Equilibria in Cooperative Multi-Agent Reinforcement Learning via Mean-Field Subsampling

This paper proposes an alternating learning framework for cooperative multi-agent reinforcement learning under communication constraints, where a global agent observes only a subset of local agents, and proves that this approach converges to an approximate Nash equilibrium with improved sample complexity compared to methods operating on the full joint state space.

Emile Anand, Ishani Karmarkar2026-03-05🤖 cs.AI

A successive difference-of-convex method for a class of two-stage nonconvex nonsmooth stochastic conic program via SVI

This paper proposes a successive difference-of-convex method that leverages Moreau envelopes and the progressive hedging algorithm to solve a class of challenging two-stage nonconvex nonsmooth stochastic conic programs by reformulating them as nonmonotone nonsmooth stochastic variational inequalities, with theoretical convergence guarantees and numerical validation via an extended Markowitz model.

Chao Zhang, Di Wang2026-03-05🔢 math

Implicit-Explicit Trust Region Method for Computing Second-Order Stationary Points of A Class of Landau Models

This paper proposes an implicit-explicit trust region method that leverages the specific Hessian structure of Landau-type free energy functionals to efficiently compute second-order stationary points, enabling the identification of physically stable phases like the FDDD structure in the Landau-Brazovskii model with provable convergence guarantees.

Chenglong Bao, Kai Deng, Kai Jiang + 1 more2026-03-05🔢 math

Identification of Nonlinear Acyclic Networks in Continuous Time from Nonzero Initial Conditions and Full Excitations

This paper proposes a method to identify nonlinear acyclic networks in continuous time with nonzero initial conditions and full excitations, demonstrating that measuring all sinks is necessary and sufficient for identifying trees and general directed acyclic graphs, while utilizing higher-order derivatives and dictionary functions to recover edge dynamics and parallel paths.

Ramachandran Anantharaman, Renato Vizuete, Julien M. Hendrickx + 1 more2026-03-05🔢 math

Online Order Fulfillment with Replenishment

This paper investigates the relative impact of inventory replenishment policies versus real-time online fulfillment algorithms on system profit under demand uncertainty, demonstrating that cumulative regret remains stable over long cycles and introducing a novel look-ahead algorithm that outperforms myopic baselines while identifying specific regimes where optimizing one lever yields greater revenue gains than the other.

Zi Ling, Jiashuo Jiang, Linwei Xin2026-03-05🔢 math

Wasserstein Gradient Flows of semi-discret energies: evolution of urban areas anduniform quantization

This paper investigates the Wasserstein gradient flow of semi-discrete energies relevant to urban planning and uniform quantization by proving the convergence of the JKO scheme to a singularly coupled PDE-ODE system, analyzing its qualitative properties such as atomic convergence to Laguerre cell barycenters, and validating these findings through numerical simulations that reveal dynamic crystallization phenomena.

Joao Miguel Machado2026-03-05🔢 math

Lyapunov Stability of Stochastic Vector Optimization: Theory and Numerical Implementation

This paper establishes a rigorous Lyapunov stability framework for a stochastic drift-diffusion model in multi-objective optimization and provides a reproducible Python implementation, demonstrating that while the method may underperform in low-dimensional settings, it offers a mathematically tractable and viable alternative for high-dimensional problems with restricted evaluation budgets.

Thiago Santos, Sebastiao Xavier2026-03-05🔢 math

Optimal strategies in Markov decision processes with finitely additive evaluations

This paper demonstrates that while pure optimal strategies exist in infinite-horizon Markov decision processes with finite state and action spaces under diffuse charges satisfying the time value of money principle, optimal strategies (neither pure nor randomized) may fail to exist entirely if the aggregation charge is constructed without such assumptions.

János Flesch, Arkadi Predtetchinski, William D Sudderth + 1 more2026-03-05🔢 math

Maintenance optimization of a two-component system with mixed observability

This paper proposes a POMDP-based framework for optimizing maintenance in a two-component system with mixed observability and unidirectional degradation dependence, establishing structural policy properties, developing a Baum-Welch parameter estimation method, and demonstrating through numerical experiments that the approach outperforms classical threshold policies with cost reductions of up to 6%.

Nan Zhang, Inmaculada T. Castro, M. L. Gamiz2026-03-05🔢 math