Update:

Charting the Course to Graduation

This Dojo is a living document for my thesis progress, my hLDS approach (hierarchical fast/slow dynamics), and how I translate it into practical routines for sustainable performance.

Explore the sections below for structure, status, and actionable takeaways.

Portrait of Danilo Pérez-Rivera

Thesis Chapter Outline

Proposed structure; status indicated by diamonds.

Stable Draft
In Progress
Not Started

1. Introduction & Background

Why hierarchical models for multi-timescale dynamics; limits of flat approaches.

2. Methods: hLDS Model

Generative process, identifiability, core inference procedure.

3. Methods: Inference Deep Dive

EM, variational inference, compute considerations.

4. Application: Rats & RNNs

Slow belief updating in temporal wagering (rats, simulated RNNs).

5. Application: Multi-Area Primate

Correlated slow drifts (e.g., V4, PFC) in visual decision tasks.

6. Application: Mouse ACC

Multiple slow processes: disengagement, block bias, performance markers.

7. Discussion

Implications, limitations, future directions.

Appendices

Derivations, controls, dataset descriptions.

Hierarchical Latent Dynamical Systems (hLDS)

Modeling fast (within-trial) and slow (across-trial) factors to separate noise from signal and target the levers that matter.

Core Argument & Design

Cognitive and physiological processes evolve over multiple timescales. hLDS explicitly represents this hierarchy.

Across-Trial (Slow)

Minutes–hours: motivation, sleep pressure, engagement.

Within-Trial (Fast)

Milliseconds–seconds: stimulus processing, decisions, autonomic shifts.

Observations

Wearables, logs, tasks, and other digital health signals.

hLDS Model Diagram

Application Findings

Visual Decision Tasks

  • Strong held-out performance and interpretable slow drifts.
  • Saccade decoding aligned with within-trial latents.
  • Slow latents tracked cognitive fluctuation (e.g., false alarms).

Future Work & Collaborations

Continuing to extend theory and applied analytics, with collaborations that reinforce translational impact.

Academic Extensions

Comparative analyses across tasks and species; attention to identifiability, controls, and robust inference.

xSync: Digital Health Platform

Integrating heterogeneous digital health data into a structured timeline for applying hierarchical reasoning outside the lab.

Timeline to Graduation

Month-by-month milestones toward a May 2026 degree conferral.

Fall 2025

Finalize Research & Early Submissions

  • Present poster at Neuroscience 2025.
  • Submit abstract to CoSyNe 2026 (by Nov 16).
  • Freeze figures for hLDS manuscript.

Winter 2025–2026

Manuscript & Chapter Writing

  • Submit hLDS manuscript.
  • Draft Methods & Applications chapters.

March 2026

Internal Deadline

  • Full thesis draft to committee; incorporate feedback.

April 2026

Defense & Final Submission

  • Target defense: late April.
  • Final submission to Graduate School.

May 2026

Degree Conferral

Official Ph.D. graduation.