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Bibliographic Details
Main Author: Diehl, Joscha
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.05274
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Table of Contents:
  • Aggregation of time-series or image data over subsets of the domain is a fundamental task in data science. We show that many known aggregation operations can be interpreted as (double) functors on appropriate (double) categories. Such functorial aggregations are amenable to parallel implementation via straightforward extensions of Blelloch's parallel scan algorithm. In addition to providing a unified viewpoint on existing operations, it allows us to propose new aggregation operations for time-series and image data.