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arXiv research

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.

169,291 papers · 148 categories

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1223 · Oct 201819922001200920182026
48 results for fractured rock

Machine learning reduces DFN size by 80% for faster simulations.

problem Simulating flow and transport in large DFNs is computationally intensive.
method Graph theory and machine learning to identify a smaller, representative network.
result Reduced network size by approximately 20% without losing breakthrough curves.

Generalized meshes for non-regular geometries, including fractures.

problem Discretization of partial differential equations in non-regular geometries.
method Introduces generalized meshes with overlapping elements and flexible adjacency relations.
result Discrete differential forms on virtually inflated meshes characterize the trace space of forms in surrounding volumes.

Machine learning identifies rock type at drilling bit, reducing error from 13.5% to 9%

problem Precision drilling requires rock type identification at the drilling bit, but sensors are far away.
method Machine learning and data mining on sensors readings, comparing various algorithms.
result Real-time rock type classification error reduced from 13.5% to 9%

Predicts fracture evolution and material failure in brittle materials.

problem Predicting how fractures propagate and materials fail in brittle materials.
method Recurrent graph convolutional neural networks trained on simulation data.
result Predictions within 3% for fracture damage and 15% for time to failure.

Machine learning enhances rock facies classification with physics-inspired features.

problem Accurately classifying rock facies for better reservoir characterization.
method Incorporating physics-motivated feature interactions in feature augmentation.
result Improvement of rock facies classification by up to 5% in F-1 score.

Optimizes structure topology for ductile and brittle fracture resistance.

problem Minimizing mass while ensuring structural damage and fracture resistance.
method Phase-field approach for modeling fracture, level-set topology optimization.
result Enhanced fracture resistance through two formulations.

This paper analyzes uncertainty in DFN simulations using sensitivity analysis.

problem Uncertainty in estimating QoI due to epistemic and aleatoric uncertainties in DFN simulations.
method Sensitivity analysis to attribute uncertainty to input parameters and aleatoric uncertainty.
result Characterizes uncertainty in DFN flow simulations with heteroskedastic aleatoric uncertainty.

Deep learning model improves seismic rock property estimation.

problem Estimating reservoir rock properties from seismic reflection data.
method Proposes a deep learning-based seismic inversion workflow that models seismic traces spatiotemporally.
result Achieves best performance on SEAM dataset with r2r^{2} coefficient of 79.77\%

Automated rock fragmentation assessment using deep learning and spatial statistics.

problem Assessing post-blast rock fragmentation in real-time.
method Fine-tuned YOLO12l-seg model for instance segmentation, followed by spatial statistics.
result Framework accurately assesses rock fragmentation patterns in real-time.

A machine learning method predicts rock permeability from 3D images.

problem Efficiently predict permeability of heterogeneous rocks for planetary and robotic applications.
method Machine learning guided 3D properties recognition of rock morphology from 3D micro CT and MRI images.
result The morphology decoder method accurately predicts permeability from 3D images.

Enhanced PINN for brittle fracture modeling using transfer learning.

problem Solving brittle fracture problems in physics.
method Physics-informed neural network (PINN) with variational energy minimization and transfer learning.
result The proposed approach yields better accuracy in predicting crack paths compared to conventional PINN.

Paper introduces impact curves for evaluating binarized regression models with varying costs.

problem Evaluating binarized regression models with varying costs and instance-specific utility.
method Proposes impact curves to optimize binary decisions across different utilities.
result Impact curves identify conditions where one model is favored over another and quantify model improvement.

Fractured Sampling improves LLM reasoning efficiency by truncating CoT trajectories.

problem Efficiently scaling reasoning in large language models with limited tokens.
method Integrating truncated Chain-of-Thought (CoT) with Fractured Sampling across multiple dimensions.
result Fractured Sampling achieves superior accuracy-cost trade-offs compared to full CoT.

We use topological methods to prove a semicontinuity property of the Hodge spectra for analytic germs defined on an isolated surface singularity. For this we introduce an analogue of the Seifert matrix (the fractured Seifert matrix), and of the Levine--Tristram signatures associated with it, defined for null-homologous…

2013-08-23abs ↗pdf ↗

Optimal design portfolios improve energy efficiency and reduce risk in uncertain reservoirs.

problem Uncertain reservoir conditions lead to unstable gas recovery and low resource efficiency.
method Developed optimal portfolios of well designs based on reservoir conditions and probabilities.
result Remarkable reduction in variation and substantial increase in energy efficiency achieved.

We introduce the speculate-correct method to derive error bounds for local classifiers. Using it, we show that k nearest neighbor classifiers, in spite of their famously fractured decision boundaries, have exponential error bounds with O(sqrt((k + ln n) / n)) error bound range for n in-sample examples.

2014-10-09abs ↗pdf ↗

Dual neural networks tackle uncertainty in geophysical data.

problem Quantifying and separating epistemic and aleatoric uncertainties in geophysical data.
method Combination of Bayesian Neural Network (BNN) and Artificial Neural Network (ANN).
result Reduces uncertainties in rock and fluid property estimation for better reservoir optimization.

Improved Bayesian computation for imaging problems using a new MCMC method.

problem Challenges in Bayesian computation for imaging inverse problems due to high dimensionality and non-smoothness.
method Introduces a new accelerated proximal MCMC method (ls SK-ROCK) that combines data augmentation and relaxation with proximal MCMC.
result The method converges faster and achieves better accuracy than state-of-the-art approaches.

Universal model for soft tissue mechanics under shock waves.

problem Modeling shock wave mechanics in soft biological tissues.
method Continuum mixture theory with phase-field mechanics.
result Universal thermodynamically consistent formulation for soft porous tissues.

DAFNO learns surrogates for complex systems on irregular geometries.

problem Learning accurate surrogates for complex physical systems on irregular geometries.
method DAFNO incorporates a smoothed characteristic function in the integral layer architecture of FNOs, leveraging FFT for rapid computations.
result DAFNO achieves state-of-the-art accuracy on material modeling and airfoil simulation datasets.

In this work, we explore how probabilistic programs can be used to represent policies in sequential decision problems. In this formulation, a probabilistic program is a black-box stochastic simulator for both the problem domain and the agent. We relate classic policy gradient techniques to recently introduced black-box…

2015-07-16abs ↗pdf ↗

DeepFlow uses deep generative models to solve history matching problems.

problem Calibrating reservoir models with transient fluid data.
method Generative adversarial network for property distribution, gradient descent on latent variables, and additional well constraints.
result Solves history matching problems for synthetic reservoir models.

We propose a Markov jump process with the three-state herding interaction. We see our approach as an agent-based model for the financial markets. Under certain assumptions this agent-based model can be related to the stochastic description exhibiting sophisticated statistical features. Along with power-law probability …

2012-10-05abs ↗pdf ↗

We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomena driven by psychological factors (for example, popularity of rock groups, or a number of students pursuing a given majo…

2010-09-01abs ↗pdf ↗

Proposes a model combining order book data and herd behavior to replicate long-range memory in financial returns.

problem Replicating long-range memory in financial returns and trading activity.
method Combines empirical order book data and financial herd behavior model.
result Model successfully replicates long-range memory in absolute returns and trading activity.

Momentum speeds up evolutionary processes in machine learning.

problem Accelerating convergence in evolutionary dynamics.
method Combining momentum from machine learning with evolutionary dynamics using information divergences as Lyapunov functions.
result Momentum accelerates convergence of evolutionary dynamics, including the replicator equation and Euclidean gradient descent.

New hierarchical RL agent learns to generalize in complex multi-agent games.

problem Current RL methods struggle to generalize to unseen opponents in multi-agent games.
method Proposed a hierarchical RL architecture grounded in game-theoretic structure.
result Hierarchical agent generalizes to unseen opponents, while baselines fail.

Develops a Bayesian non-parametric approach for signal separation with varying components.

problem Signal separation with varying components across different input locations.
method Augments Gaussian Process Latent Variable Models with weighted sums of pure component signals and incorporates priors for linear weights.
result Framework allows for non-linear variations in signals and incorporates useful priors for linear weights.

The study analyzes gaps in well logs to improve prediction models.

problem Improving prediction of missing data in well logs for oil exploration.
method Descriptive analysis, generation of artificial gaps, comparison of machine learning algorithms.
result Artificial Neural Networks, Random Forests, and Linear Regression algorithms were compared in predicting missing data.

New methods improve multi-agent reinforcement learning by addressing rotational dynamics.

problem Reproducibility crisis in multi-agent reinforcement learning.
method Reframing MARL approaches using Variational Inequalities (VIs) and proposing gradient-based VI methods.
result Significant performance improvements across benchmarks, including better convergence to equilibrium strategies in zero-sum games.