Hy P. G. Lam

collaborators

6 papers

cs.LG2026

Sharp Reconstruction Bounds for Autoencoders Using the Same Forward Map

Patricia Medina, Hy P. G. Lam

We study reconstruction in autoencoders that apply the same forward map before and after setting the observed coordinates to zero. For equal odd input and hidden dimensions $d\geq…

math.SP2026

Intertwining the line bundle and Grauert-tube Hardy quantizations of the round 2-sphere

Hy P. G. Lam

We compare two natural Hardy quantizations carried by the unit cosphere bundle of the round two-sphere. Through $S^{2} ≃ C P^{1}$ , the cosphere bundle is the unit circle bundle of t…

cs.LG2026

Depth-Dependent Hidden-State Collapse in Dynamical System Autoencoders for LiDAR Point-Cloud Classification

Patricia Medina, Hy P. G. Lam

We study Dynamical System Autoencoders (DSAE) for LiDAR point-cloud classification using spatial coordinates and Product Coefficient feature augmentations. The experiments compare…

math.AP2026

Sampleability transport, nonlinear regularization, and the porous medium flow

Hy P. G. Lam

We study the Wasserstein projection of a compactly supported probability measure onto the class of measures whose density ratio is bounded, and we place this projection in a broade…

math.DS2026

First variation of flat traces on negatively curved surfaces

Hy Lam

For a closed negatively curved surface $(X, g)$ the flat trace of the geodesic Koopman operators $V_{g}^{τ} f = f \circ G_{g}^{τ}$ is the periodic orbit distribution \[ \mathrm{Tr}^{\flat} V_{g…

math.DG2026

Zero-energy scattering and the real Bers image on the line

Hy P. G. Lam

Let $Diff_{S} (R)$ be the group of orientation-preserving diffeomorphisms $φ$ of the line with $φ^{'} - 1$ Schwartz and $φ (x) - x \to 0$ as $x \to - \infty$ , and let $…