These demos run the actual math behind my papers. Adjust the parameters and watch how each system behaves in real time.
Two signals coupling at different temporal resolutions. The DTW alignment path reveals nonlinear stretching and shrinking between them. Warp Quantification Analysis (WQA) turns this into a set of path-based metrics, each one capturing a different geometric aspect of how two signals relate across time. Alignment lines are colored by cost: green means well-aligned, amber means moderate warp, and red means high distortion.
Published in: Imaging Neuroscience (MIT Press) 2024 · "Warp Elasticity" · ICASSP 2026 · "Warp Quantification Analysis: A Framework for Path-Based Signal Alignment Metrics"
Watch a system that accumulates its own history. The red dot is the raw input, an external force. The teal dot is the latent state shaped by accumulated history. The amber trail is its memory. Select a regime to see how inertia governs the dynamics, or let them all play out. The safe zone is where the system stabilizes; the danger zone is where it disperses. In the FII trace, near zero means locked, positive means stabilizing, and negative means shifting.
Published in: bioRxiv 2025 · "Functional Inertia Reveals History-Dependent Organization of Large-Scale Brain Dynamics"
Two live signals run below. Pick a configuration for each of DyCoM's four operators and watch the output signal update in real time as the composition changes. Every classic connectivity method (SWPC, phase synchrony, FBC) is just a specific set of choices through these four operators.
Published in: bioRxiv 2026 · "Dynamic Co-Modulation (DyCoM): A Unified Operator Framework for Dynamic Connectivity in Neuroimaging"