arXiv Machine Learning

Geological text descriptions in ill-posed inverse problems: insights from learned hydraulic-conductivity inversion

The paper investigates how geological text descriptions can aid hydraulic‑conductivity inversion, a problem that remains ill‑posed even with complete head observations. Using a synthetic Darcy‑flow benchmark, the authors show that after training with sparse observations, incorporating textual descriptions can improve reconstruction when structural ambiguity persists, though the benefit varies with observation density, flow direction, and specific content. They find that editing the text shifts reconstructions toward the described geometry, but they do not demonstrate a clear advantage of text over equivalent numerical inputs, and they suggest that these insights could inform joint measurement and knowledge acquisition strategies.

arXiv Machine Learning
Sep 21

Generative inversion for early ranking of competing geologic interpretations

The paper introduces a workflow that ranks competing geological interpretations by converting them into spatial priors and assessing their consistency with hydraulic‑head observations. Using a text‑to‑image model to generate 1600 geologic images per interpretation, a variational autoencoder encodes them, and a supervised inverse network maps head data into this latent space, producing log‑conductivity fields for flow simulation. The method is validated on a synthetic Johansen Formation benchmark and applied to two conceptual models of the Culebra Dolomite, yielding compatibility scores that align with independent evidence.

By Harun Ur Rashid, Daniel O'Malley
arXiv Machine Learning
Oct 3

Autoregressive Drillhole Modelling Under Distribution Shift

Autoregressive modelling, successful in language tasks, is applied to mineral‑exploration drillholes where lithology is revealed sequentially from shallow to deep. The authors introduce DrillBench, a benchmark of 49,671 Western Australian drillholes for next‑layer prediction and autoregressive stratigraphic generation across a graded transfer spectrum. Experiments show that spatial conditioning helps locally but fails under strong shift, while autoregressive models transfer more robustly; a backbone‑agnostic recipe combining large‑scale pretraining and spatial retrieval improves generalisation, especially in distant geological splits.

By Yihao Ding, Daniel Yitian Su, Yiran Zhang, Christopher M. Gonzalez, Wei Liu
arXiv Machine Learning
Oct 8

Twist Flow for Inverse Problems

arXiv:2610. 09281v1 Announce Type: new Abstract: In Bayesian inverse problems, posterior sampling requires generating samples that are consistent with given observations while capturing the range of plausible solutions.

By Shiqin Zeng, Zijun Deng, Felix J. Herrmann
Hugging Face Trending Papers
Oct 5

OCL-PDE: A Generative Framework for PDE Inverse Problems with Observation-Complementary Latents

The paper introduces OCL-PDE, a generative framework for solving partial differential equation (PDE) inverse problems. It uses a learned observation‑complementary latent representation that retains reconstruction‑relevant information and combines it with observations to recover unknown fields. The method, built on a physics‑aware autoencoder and conditional Flow Matching, improves reconstruction accuracy and fine‑detail recovery compared to baseline approaches.