Osuke Doijiri

Cross-Species Local Organization of Intrinsic Spatiotemporal Speed Scales in Retinal Ganglion Cell Functional Manifolds

We asked whether retinal ganglion cells (RGCs) possess a locally organized intrinsic spatiotemporal speed scalethat is reproducible across vertebrate species. For each RGC, a characteristic scale was defined as v* =sigma/tau, where sigma denotes a receptive-field spatial scale an...

Cross-Species Local Organization of Intrinsic Spatiotemporal Speed Scales in Retinal Ganglion Cell Functional Manifolds

We asked whether retinal ganglion cells (RGCs) possess a locally organized intrinsic spatiotemporal speed scalethat is reproducible across vertebrate species. For each RGC, a characteristic scale was defined as v* =sigma/tau, where sigma denotes a receptive-field spatial scale an...

Transient Optical Detection Transition Revisited Why the geometric reanalysis is stronger than the original pilot result - while remaining a model-defined detectability study

The original Transient Optical Detection Transition (TODT) pilot study reported that a physically present falling quartzobject entered a brief model-defined subthreshold state in a natural indoor scene. In the strict observer model, frames430-442 were classified as VISIBLE, frame...

A Universal Minimax Lower Bound for Causal Lagrangian TrackingFrom empirical flow-family classification to an algorithm-independent impossibility certificate with object-shape-aware tolerance

We develop a deterministic minimax lower bound for causal tracking of a Lagrangian object across an observation gap. Earlier work in this project identified an empirical dimensionless coordinate, Pi_U, that organized synthetic tracking difficulty across multiple flow families. Th...

A Universal Minimax Lower Bound for Causal Lagrangian TrackingFrom empirical flow-family classification to an algorithm-independent impossibility certificate with object-shape-aware tolerance

We develop a deterministic minimax lower bound for causal tracking of a Lagrangian object across an observation gap. Earlier work in this project identified an empirical dimensionless coordinate, Pi_U, that organized synthetic tracking difficulty across multiple flow families. Th...

Transient Optical Detection Transition Revisited Why the geometric reanalysis is stronger than the original pilot result - while remaining a model-defined detectability study

The original Transient Optical Detection Transition (TODT) pilot study reported that a physically present falling quartzobject entered a brief model-defined subthreshold state in a natural indoor scene. In the strict observer model, frames430-442 were classified as VISIBLE, frame...

Energy-Neutral Exact-Local Cascade Control in a Three-Dimensional Spectral Flow Solver

This study introduces the EIDOS Energy-Neutral Exact-Local Cascade (EN-ELC), a numerical spectral-feedback operator designed to alter resolved interscale energy transfer without directly adding net instantaneous kinetic-energy power to the fluid as a whole. The method is implemen...

Energy-Neutral Exact-Local Cascade Control in a Three-Dimensional Spectral Flow Solver

This study introduces the EIDOS Energy-Neutral Exact-Local Cascade (EN-ELC), a numerical spectral-feedback operator designed to alter resolved interscale energy transfer without directly adding net instantaneous kinetic-energy power to the fluid as a whole. The method is implemen...

Solver-Robust Spectral Relational Geometry in Nonlinear Partial Differential Equations A computational preprint on coordinate-robust, discretization-robust, and cross-solver geometric structure

We investigate whether nonlinear partial differential equations leave a reproducible geometric structure in thejoint space of spectral observables, rather than a single universal scalar invariant. Five nonlinear systems—Burgers, Allen–Cahn, cubic reaction–diffusion, Kuramoto–Siva...