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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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27 results for SHM

Consider a complex analytic manifold XX and a coherent Lie subalgebra $\shi$ of the Lie algebra of complex vector fields on XX. By using a natural $\shd_X$-module $\shm_\shi$ naturally associated to $\shi$ and the ring (in the derived sense) $\rhom[\shd_X](\shm_\shi,\shm_\shi)$, we associate integers which measure th…

2016-06-29abs ↗pdf ↗

Probabilistic methods improve SHM by learning from noisy, incomplete data.

problem Noisy and incomplete SHM data, lack of prior labels.
method Probabilistic algorithms for semi-supervised, active, and multi-task learning.
result Probabilistic methods enhance SHM by incorporating new data.

We define an invariant of contact 3-manifolds with convex boundary using Kronheimer and Mrowka's sutured monopole Floer homology theory (SHM). Our invariant can be viewed as a generalization of Kronheimer and Mrowka's contact invariant for closed contact 3-manifolds and as the monopole Floer analogue of Honda, Kazez, a…

2014-03-08abs ↗pdf ↗

This paper develops a geometric framework for SHM using feature bundles and gauge theories.

problem Defining feature spaces in population-based SHM.
method Introduces feature bundles as sections of vector bundles over structure spaces, and uses Graph Neural Networks for feature assignment.
result Develops a mathematical framework for SHM that incorporates feature spaces and gauge theories.

Human matting, high quality extraction of humans from natural images, is crucial for a wide variety of applications. Since the matting problem is severely under-constrained, most previous methods require user interactions to take user designated trimaps or scribbles as constraints. This user-in-the-loop nature makes th…

2018-09-05abs ↗pdf ↗

This research develops efficient surrogate models for predicting crack growth in metal structures.

problem Accurately predicting crack growth in metal structures under uncertainty.
method Employing Gaussian Process (GP) regression models for latent variable modeling to create probabilistic surrogate models.
result Surrogate models successfully encode material and load-related uncertainties in stochastic crack growth processes.

Researchers developed a generic model to account for structural variability in SHM.

problem Variability in natural frequency due to operational and environmental conditions limits SHM technologies.
method An overlapping mixture of Gaussian processes (OMGP) was used to generate a generic representation of normal condition.
result The OMGP model provided a generic representation (form) to characterise the normal condition of structures.

Paper introduces ML tools for guided wave behaviour in composite materials.

problem Difficult assessment of guided wave behaviour in complex materials.
method Data-driven model using Gaussian processes with physical constraints.
result Structured machine learning models offer advantages like extrapolation and physical interpretation.

Generative Adversarial Networks create synthetic data for structural damage detection.

problem Data scarcity in structural damage detection.
method 1-D Wasserstein Deep Convolutional Generative Adversarial Networks (1-D WDCGAN-GP) for synthetic data generation.
result Generated synthetic data improves damage detection accuracy in 1-D Deep Convolutional Neural Networks.

Generative model predicts remaining life of damaged structures.

problem Prognosis of damage and remaining useful life of structures.
method Generative adversarial networks (GANs) in a population-based SHM framework.
result Algorithm provides confident predictions about structures' remaining useful life.

Study improves data quality assessment for structural monitoring data.

problem Ensuring reliability of structural health monitoring data.
method Probabilistic data quality assessment using a conditional diffusion model.
result Significantly improves accuracy of data quality assessment.

The paper addresses sampling bias in risk-based active learning.

problem Sampling bias in active learning leads to poor decision-making performance.
method The paper uses a semi-supervised Gaussian mixture model with an EM algorithm to counteract sampling bias.
result The EM algorithm effectively incorporates pseudo-labels for unlabelled data, reducing sampling bias.

Paper presents a method for imputing and forecasting structural response from incomplete sensor data.

problem Missing sensor data in structural health monitoring (SHM).
method Incremental Bayesian tensor learning for spatiotemporal missing data reconstruction and forecasting.
result The proposed method achieves accurate and robust imputation and prediction even with high rates of missing data.

Approach uses machine learning to identify structural modal parameters from output-only data.

problem Identifying modal parameters from output-only data for structural health monitoring.
method Unsupervised learning using a self-coding deep neural network to separate modal responses from vibration data.
result The approach effectively identifies structural modal parameters from system responses.

Gaussian Process Regression improves damage assessment in structural health monitoring.

problem Inaccurate damage quantification in varying conditions and environments.
method Gaussian Process Regression models with Damage Indices for probabilistic damage assessment.
result The method provides probability-based decision-making for structural health monitoring.

Bayesian methods detect and forecast inclinometer anomalies in UK rail data.

problem Detecting and predicting dangerous movements in earthwork slopes.
method Bayesian UQ techniques applied to latent Markov process and non-linear Bayesian filter.
result Anomaly detection and forecasting demonstrated on large real-world data.