CPC G06F 16/26 (2019.01) [G06F 3/0481 (2013.01); G06F 16/2264 (2019.01); G06F 16/248 (2019.01); G06F 16/283 (2019.01); G06F 18/213 (2023.01); G06F 18/2137 (2023.01)]  20 Claims 
14. A system comprising:
at least one processor;
at least one nontransitory computer readable medium comprising a multidimensional dataset and instructions that, when executed by the at least one processor, cause the system to:
generate an initial topological construct for the multidimensional dataset at an initial topological scale, the initial topological construct comprising a first region corresponding to a first subset of multidimensional data corresponding to a first subset of nodes and a second region corresponding to a second subset of multidimensional data corresponding to a second subset of nodes;
generate a plurality of topological constructs, each corresponding to an alternative topological scale of an edge within the first region;
select the first region of the initial topological construct for magnification by determining that a persistence parameter violates a componentpersistence threshold, wherein the persistence parameter identifies a number of disconnected components corresponding to the edge within the first region within each of the plurality of topological constructs;
determining an alternative topological scale for the first region based on a persistence of a structure within the first region by determining that the persistence parameter corresponding to the edge within the first region at the alternative topological scale satisfies the componentpersistence threshold;
generating a local topological construct for the first subset of nodes of the first region at the alternative topological scale;
combining the first region and the second region by generating edges, corresponding to intersections, between nodes from the first subset of nodes at the alternative topological scale and nodes from the second subset of nodes at the initial topological scale to produce a variedscaletopological construct for the multidimensional dataset; and
render the variedscaletopological construct for the multidimensional dataset.
