-- a research journal

The Shape of Words

Stephen Fitz

Topological structures in language representations.

Empricial Road Map

Stephen Fitz

Preliminary experiments.

Partition Metric

Stephen Fitz

Constructing a metric for discrete topologies.

Word Manifolds

Stephen Fitz

Homological invariants of natural language data.

Persistence Modules

Stephen Fitz

Computing persistent homology of sentences.

Simplicial Mapping Approximation

Stephen Fitz

Approximating the shape of the representation manifold with a lower dimensional sketch.

Sliding Window Embedding

Stephen Fitz

Topological modeling of hidden state dimensions.