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Explore my core algorithms in action. Adjust parameters and see how the systems behave in real time. These are the actual mathematical operations behind my papers.

Temporal Elasticity

Two signals coupling at different temporal resolutions. The DTW alignment path reveals nonlinear stretching and shrinking between them. Warp Quantification Analysis (WQA) formalizes this into a suite of path-based metrics — each capturing a geometrically distinct dimension of how two signals relate across time. Alignment lines are cost-colored: green = well-aligned, amber = moderate warp, red = high distortion.

3.0
2.0
0.50
0.10
ALIGNMENT COST
Total cumulative DTW path cost
WARP DEVIATION VARIANCE (WDV)
Spread of warp steps around median
PATH LENGTH RATIO (PLR)
Actual path length vs diagonal baseline
DIAGONAL CROSSING RATE (DCR)
Frequency of path direction reversals

Published in: Imaging Neuroscience (MIT Press) 2024 — "Warp Elasticity"  ·  ICASSP 2026 — "Warp Quantification Analysis: A Framework for Path-Based Signal Alignment Metrics"

Functional Inertia — Accumulating State System

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. The FII trace shows sign: ≈0 = locked, positive = stabilizing, negative = shifting.

CURRENT REGIME
FIIM (global inertia)
FII (current)
MODE

Published in: Preprint 2026 — "Functional Inertia Reveals History-Dependent Organization of Large-Scale Brain Dynamics"

DyCoM — Build Your Own Estimator

Two live signals run below. For each of DyCoM's 4 operators, pick a configuration — then 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.

𝓡 REPRESENTATION
ε ENERGY MAP
∫ TEMPORAL INTEGRATION
𝒩 NORMALIZATION
→ Estimator: Sliding Window Pearson Correlation (SWPC)

Published in: bioRxiv 2026 — "Dynamic Co-Modulation (DyCoM): A Unified Operator Framework for Dynamic Connectivity in Neuroimaging"