The Decentralized Energy Systems (DES) market is rapidly transforming the global energy landscape, driven by a shift towards sustainable and efficient energy solutions. Defined as energy generation and distribution methods that operate locally rather than relying on a centralized power grid, decentralized energy sys

Distributed estimation has attracted a significant amount of attention recently due to its advantages in computational efficiency and data privacy preservation. In this article, we focus on quantile regression over a decentralized network. Without a coordinating central node, a decentralized network improves system stability and increases efficiency by communicating with fewer nodes per round. However, existing related works on decentralized quantile regression have slow (sub-linear) convergence speed. We propose a novel method for decentralized quantile regression which is built upon the smoothed quantile loss. However, we argue that the smoothed loss proposed in the existing literature using a single smoothing bandwidth parameter fails to achieve fast convergence and statistical efficiency simultaneously in the decentralized setting. We propose a novel quadratic approximation of the quantile loss using a big bandwidth for the Hessian and a small bandwidth for the gradient. Our method enjoys a linear convergence rate and has optimal statistical efficiency. Numerical experiments and real data analysis are conducted to demonstrate the effectiveness of our method. Supplementary materials for this article are available online.

The Decentralized Water Treatment market is rapidly evolving as an essential sector in the broader water management industry, capitalizing on the growing need for efficient, sustainable water solutions. Unlike traditional centralized systems, decentralized water treatment systems operate at or near the point of use,

The Decentralized Digital Identity Systems market is rapidly evolving, offering a transformative approach to identity management that prioritizes user privacy and data security. By enabling individuals to control their personal information without relying on a central authority, decentralized identity solutions are

In 2023, the cumulative solar photovoltaic (PV) capacity in China in the decentralized grid systems was over 255 gigawatts and close to 254 gigawatts in the centralized grid systems. The cumulative capacity of solar photovoltaics in decentralized grid systems came to over 60 gigawatts in the United States in the same year.

The Wastewater Treatment Tank, commonly known as Johkasou, is an essential component of modern sanitation systems, particularly in regions where centralized sewage systems are not feasible. These decentralized wastewater treatment solutions are designed to effectively treat domestic sewage and runoff, ensuring that