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Materias / palabras clave: mathematics, mathematical analysis, variational problem, functional analysis, differential equations; Science: Mathematics

Materias / palabras clave: nonsmooth analysis, nonsmooth optimization, variational analysis, equilibrium problems, stochastic optimization, bilevel optimization; Science

In this article, we study an infinite horizon optimal control problem with monotone controls. We analyze the associated Hamilton–Jacobi–Bellman (HJB) variational inequality which characterizes the value function and ...

Abstract In response to the problems of large fluctuations in electricity prices and difficulty in long-term forecasting caused by the large-scale integration of new energy in the electricity market, this paper construct...

Recommender systems have existed for decades, shaping how people consume digital content, receive information, and engage in day-to-day activities, among others. Undoubtably, recommender systems also play a crucial role ...

The earth pressure on rigid retaining wall considering model indeterminacy is focused. Based on the force equilibrium equations for sliding mass, the functional extreme-value isoperimetric model for earth pressure in the...

Abstract The photovoltaic (PV) power generation process is susceptible to the interference of meteorological factors with volatility, which seriously impacts the stability of PV grid connection. To solve the above proble...

The method of topological renormalization in anti–de Sitter (AdS) gravity consists in adding to the action a topological term which renders it finite, defining at the same time a well-posed variational problem. Here, w...

Generative Artificial Intelligence (GAI) is changing what can be done with Recommender Systems (RS) in e-commerce by allowing much more interactive, situationally aware, and highly tailored experiences for users. The pur...

While physics models for predicting system states can reveal fundamental insights owing to their parsimonious structure, they may not always yield the most accurate predictions, particularly for complex systems. As an al...

During the late 1990s, Huang introduced the algorithm called Empirical Mode Decomposition, which is widely used today to recursively decompose a signal into different modes of unknown but separate spectral bands. EMD is ...

A method for accurate and efficient local density functional calculations (LDF) on molecules is described and presented with results. The method, Dmol for short, uses fast convergent three-dimensional numerical integrati...

The exact density functional for the ground-state energy is strictly self-interaction-free (i.e., orbitals demonstrably do not self-interact), but many approximations to it, including the local-spin-density (LSD) approxi...