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 ...

Convex analysis plays a fundamental role in mathematics. In this paper, we extend the concept of convexity to vector-valued functions in Banach lattices. We introduce the notion of “order convexity” ...

Value functions are a core component of deep reinforcement learning (RL). Value functions, implemented with neural networks, undergo training via mean squared error ...

SQL Window functions are an advanced type of function in SQL. In this post, you will learn about what SQL window functions are and how they can be used or work. What are SQL window functions? SQL ...

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 ...

We prove a theorem on scalar-valued functions of tensors, where “scalar” refers to absolute scalars as well as relative scalars of weight w. The present work thereby generalizes an identity referred ...