Abstract: Definition of the weak Pareto improvement and the trap of weak Pareto improvement are given for noncooperative dynamical systems with vector-valued payoff functions. Specifically, we develop ...

Abstract: A systematic theory is introduced for finding the four Hessians of complex-valued scalar functions with respect to a complex-valued matrix variable and the complex conjugate of this variable ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Industrial organizations are racing to implement AI, yet many struggle to demonstrate concrete value from their investments. The missing element isn't better algorithms or more data; it's clarity ...

In this paper, we first introduce the notion and model of generalized minimax regret equilibria with scalar set payoffs. After that, we study its general stability theorem under the conditions that ...

A growing trend for value-based reinforcement learning (RL) algorithms is to capture more information than scalar value functions in the value network. One of the most well-known methods in this ...

Today’s world is run on data, and the amount of it that is being produced, managed and used to power services is growing by the minute — to the tune of some 79 zettabytes this year, according to one ...