Ideas / The root

Built

Irregular series as trees of shards

Can a series be read by its shape, without forcing it onto a grid?

Every sample is kept where it fell. The series is cut at its turning points into shards, and the shards nest into a tree at every scale, with graph iterated function systems (GIFS) as the mathematical footing. Available as a built, metered API, and offered as an alternative to candlesticks.

Shards, not candles

Labs

  • Market ShardsSign-in · S&P 500 daily prices

    Every S&P 500 company drawn in shards instead of candles, its tree beside its chart. Click a shard for the nearest shapes in other companies.

  • Structure in a seriesPublic · Synthetic

    A series with days missing, cut at its turning points and grouped into a tree of shapes.

  • GIFS Segmentation APIPre-launch · Your data

    Send a series, get its tree of shards back. Accounts, tiers and credits are built.

Research

  1. Reading an irregular series as a few turning points

    Real data arrives when events happen, not on a clock. Before looking for patterns, it helps to ask how few points are enough to keep the shape of a series.

  2. Graph iterated function systems: adding structure to self-similarity

    A mathematical bridge from fractal geometry to hierarchical time series and the embedding spaces that AI models operate on.

    dermot-obrien.com ↗

  3. Iterated function systems: the simple rules behind complex fractals

    The theory from the Hutchinson operator to the Collage Theorem, and the first in a series extending it to hierarchical time series.

    dermot-obrien.com ↗