Search arXiv⌕ Search

arXiv · 2610.30449

Are Learned Vascular Tree Generators Better Than Conditional Resampling?

Abstract

Fidelity scores compare generated vascular trees with held-out real trees, so by themselves they cannot detect reuse of training data. A training-free conditional resampler shows this. On coronary trees (ImageCAS) and on IntrA, about half of its branch records (branches with their parent context) are near-copies of training records. Yet on our two fidelity scores, 1-NNA on tree summaries and a parent-daughter dependence AUC, it has better point estimates than three learned baselines as retrained here. A training copy scores better still. Adding noise to the copied values traces a curve of fidelity against the measured branch-record near-copy rate. At their own coronary rates (at most 1.3%), two learned baselines lie above this curve (worse) on parent-daughter relations. VesselGPT is inconclusive against the curve, as it is against the resampler on IntrA and on scale-free tree features. The curve is a reference, not a bound: real validation trees lie below it on both coronary scores, so low near-copy rates are not a goal in themselves. Jittered training copies also lie below it. On coronary data, one with a near-copy rate of about 1% does so on the dependence AUC, and so does one whose stronger jitter ruins its tree summaries. On IntrA, a lightly jittered copy lies below it on 1-NNA. A matched near-copy rate therefore certifies neither score against perturbed copies. The study is exploratory. We offer the near-copy rate as a diagnostic, reported beside fidelity with three controls: a training copy, a jittered copy and real held-out trees.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Reza Akbarian Bafghi, Sukirt Thakur, Maziar Raissi. 2026-10-21. Are Learned Vascular Tree Generators Better Than Conditional Resampling?. https://arxiv.org/abs/2610.30449

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Marking strategies for adaptive mesh refinement: An efficiency-focused benchmark study for steady solid and fluid mechanics problems

Adaptive mesh refinement (AMR) is indispensable for efficient finite element analyses. However, its performance depends not only on the refinement itself but also on strategy to mark elements for refinement and the way it is tuned. This work compares classical marking methods (maximum, Dörfler bulk-chasing, quantile) with non-classical, statistically based approaches (z-score, Isolation Forest), all driven by the residual-based Kelly error estimator and tested on steady solid and fluid mechanics problems. The study finds quantile and z-score markings to be the most robust, Dörfler effective for large bulk parameters, and maximum marking sensitive to irregular fields. Isolation Forest can rival top classical methods with a high contamination level but may fail under aggressive settings. These results offer practical guidance for selecting marking strategies that balance refinement aggressiveness and computational cost in adaptive FEM workflows.

cs.CE↗

Hyperreduction accelerates finite element model updating for the discovery of neural materials

Finite element model updating is among the most general approaches to discover constitutive models from structural experiments: since the displacement field is computed rather than measured, it accommodates arbitrary geometries, boundary conditions, and sparse or noisy data. However, every loss evaluation requires a nonlinear finite element solve per load step, and training neural materials requires many such evaluations. Intrusive model order reduction lowers this cost while retaining boundary conditions and variational structure. How can a reduced model remain accurate while the network weights change at every training step? We combine proper orthogonal decomposition and energy-conserving sampling and weighting with adjoint sensitivities of the reduced model, and adapt both the trial space and the sampled elements along the optimization path. The constitutive law is a polyconvex neural network: a logarithmic normalization term, together with a zero-anchored input convex architecture and a growth term, renders the energy polyconvex, coercive, and non-negative by construction, independent of the trained weights. We demonstrate the approach on two experimental datasets and one synthetic three-dimensional example. For a two-phase specimen, training time decreases from nine hours to 41 minutes compared with a full-order identification, without loss of accuracy. In the three-dimensional example, six modes replace 48 672 degrees of freedom, 116 of 15 625 elements suffice to evaluate the internal forces, and training takes 13 minutes. In all cases, the identified material reproduces the measured reaction force and predicts the displacement field from the force alone. Hyperreduction makes the discovery of neural materials from structural data affordable while retaining the advantages of finite element model updating.

cs.CE↗

Structure-preserving reduced-order models of thin panels in supersonic and hypersonic flow

We build structure-preserving reduced-order models for both challenge problems of the AePW-4 High-Speed Working Group. They are a clamped thin panel at Mach 1.92 (RC-19) and a cantilever plate at Mach 5.85 (HyMAX). The published data for each case hold no time-resolved response and no repeated runs. The physics must therefore be carried by the form of the model. One construction gives two models per problem. A Ritz-Galerkin reference model describes the plate. A learned model keeps the reference model's exact potential, fits the remaining generalized forces, and trains only a dissipation that cannot add energy. Its energy balance holds for any weights by construction. On the trained model the worst relative residual is 2.2e-15. On RC-19, shock relations predict a pressure ratio of 1.521 across the panel. Pressure-sensitive paint measured the same value. Thirty runs of the learned model place the mean dominant frequency within 1.0% of the measured 236 Hz. At one periodic and one chaotic condition, the learned model reproduces the response regime of a published reduced-order model in all sixteen runs. It does so without that model's 113 Hz spectral peak, which the measurements do not show. Measured displacements can also correct the chaotic response through one more force that respects the energy balance. We tested this on synthetic data at the experiment's 5 kHz sampling rate. The state error is 1.25% of the panel thickness without noise and 3.5% with 10 micrometers of noise. On HyMAX the learned model follows the reference model's trailing-edge displacement for 65 ms with a relative error of 3.7%. These results show that a model whose structure carries the physics can match measured flutter behavior when the available data cannot train it.

cs.CE↗