🤾‍♀️Spatial fusion rank

Spatial fusion rank is an innovative multi-space fusion rank technique inspired by PageRank. It incorporates the relationship between location and human relationship to calculate the mutual influence between nodes, thereby deriving a comprehensive measure of a node's impact within the network. We refer to this measure as Spatial Fusion Rank.

The algorithm plays a crucial role in ensuring the security and fairness of the Avive world. On one hand, its mapping of geographical space enforces decentralization, preventing a scenario where a few individuals control a majority of resources, similar to the capital centralization issue seen in some Bitcoin distributions. On the other hand, through the network of relationships, it allocates resources to each Citizen, providing them with the essential guarantee of earnings. We believe that even the smallest voice holds influence in this system.

In spatial fusion rank, we use to represent Citizen Rank. As seen in the formula for calculating Citizen Rank below, CR is obtained by weighting and and applying a logistic function to transform. This ensures that the resulting is constrained between 0 and 1, ensuring a smoother and more reasonable distribution.

Social spatial rank

is the citizens that one follows, represents the Citizen Rank of individuals who are paying attention to Citizen . Here, d‘ is an attention damping coefficient used to indicate situations where user attention does not roam freely within social relationships.

Geo spatial rank

The calculation of the fusion between social virtual space and physical space.

Geo spatial rank and social spatial rank are similar concepts that represent the influence of users in physical space. Similar to in attention damping, represents the damping coefficient for Citizens in physical space. However, a more complex vectorization technique using spatial coordinates is utilized here to assess the potential mutual influence between two coordinate points.

Geo embedding vector

We utilize the coordinate and all coordinates near it to perform vectorization of . This involves applying an activation function and a nonlinear transformation process to obtain the final coordinate vector .

This vector is then used in the calculation of , which represents the degree of mutual influence between any two Citizen’s Locations in physical space.

This algorithm has various applications in Anchor, including:

• Citizen's ability to influence the algorithm, which can impact the Anchor's computational power. Citizens who contribute more to the ecosystem will have a higher influence rank, which can positively affect the Anchor's computational power and reputation.

• Citizen's ability to provide credit endorsements for an Anchor. This feature allows Citizens to vouch for the credibility of an Anchor, which can affect the Anchor's reputation and the trustworthiness of the assets held in it.

The implementation of the Spatial fusion rank in Anchor helps to ensure that the ecosystem remains transparent and trustworthy, while also promoting collaboration and community-building. By incentivizing Citizen participation and promoting trust, we aim to build a more robust and sustainable decentralized ecosystem.