Optimizes structure topology for ductile and brittle fracture resistance.
arXiv research
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In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is considered in porous media and the nonlinear Forchheimer equation is used inside th…
Efficient deep learning model classifies fractures from X-rays.
In this paper, we present a data-driven model for forecasting the production increase after hydraulic fracturing (HF). We use data from fracturing jobs performed at one of the Siberian oilfields. The data includes features, characterizing the jobs, and geological information. To predict an oil rate after the fracturing…
Structural and topological information play a key role in modeling flow and transport through fractured rock in the subsurface. Discrete fracture network (DFN) computational suites such as dfnWorks are designed to simulate flow and transport in such porous media. Flow and transport calculations reveal that a small back…
Generalized meshes for non-regular geometries, including fractures.
This paper analyzes uncertainty in DFN simulations using sensitivity analysis.
Subsurface applications including geothermal, geological carbon sequestration, oil and gas, etc., typically involve maximizing either the extraction of energy or the storage of fluids. Characterizing the subsurface is extremely complex due to heterogeneity and anisotropy. Due to this complexity, there are uncertainties…
We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train on simulation data from high-fidelity models, emulating the results of these mode…
Fractured Sampling improves LLM reasoning efficiency by truncating CoT trajectories.
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…
Optimal design portfolios improve energy efficiency and reduce risk in uncertain reservoirs.
We developed an automated deep learning system to detect hip fractures from frontal pelvic x-rays, an important and common radiological task. Our system was trained on a decade of clinical x-rays (~53,000 studies) and can be applied to clinical data, automatically excluding inappropriate and technically unsatisfactory …
In this paper, five different approaches for reduced-order modeling of brittle fracture in geomaterials, specifically concrete, are presented and compared. Four of the five methods rely on machine learning (ML) algorithms to approximate important aspects of the brittle fracture problem. In addition to the ML algorithms…
We present a new physics informed neural network (PINN) algorithm for solving brittle fracture problems. While most of the PINN algorithms available in the literature minimize the residual of the governing partial differential equation, the proposed approach takes a different path by minimizing the variational energy o…
This paper approximates -resistance for multi-class graph clustering.
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.
FAL improves formation resistivity prediction from cased boreholes with noise resistance.
Optimal trading strategy under market resistance and concave price impact model.
Extends Newton's minimal resistance problem to Riemannian surfaces.
New method fractures hyperbolic manifolds using cone singularities.
New curvature defined via graph resistances leads to Ricci flow.
New method calculates discrete curvature using effective resistances.
Extends Newton's minimal resistance problem to Lorentz-Minkowski space.
Universal model for soft tissue mechanics under shock waves.
Matrix-variate distributions can intuitively model the dependence structure of matrix-valued observations that arise in applications with multivariate time series, spatio-temporal or repeated measures. This paper develops an Expectation-Maximization algorithm for discriminant analysis and classification with matrix-var…
Proposes a new method to improve deep model security against adversarial deformations.
The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance form is given and the space is compact in resistance metric, then the intrinsic metric yields a geodesic space. Given a regular Dirichlet f…
Study predicts antimicrobial resistance in ICU patients quickly.
Graph curvature measured by inverse resistance distance.
Paper explores robust regression methods and their bias-variance trade-off.
Post-quantum cryptography needed for blockchain security.
Antimicrobial resistance is an important public health concern that has implications in the practice of medicine worldwide. Accurately predicting resistance phenotypes from genome sequences shows great promise in promoting better use of antimicrobial agents, by determining which antibiotics are likely to be effective i…
The paper studies minimal resistance dynamics in radial fields, finding unique solutions for incompressible flows.
Study optimal times to buy and sell stocks using support/resistance lines.
New method designs antimicrobial peptides with high potency and low toxicity.
Paper proves minimal resistance for a body in a fluid with decreasing density.
Motivation: HIV is difficult to treat because its virus mutates at a high rate and mutated viruses easily develop resistance to existing drugs. If the relationships between mutations and drug resistances can be determined from historical data, patients can be provided personalized treatment according to their own mutat…
This paper optimizes predicting support and resistance levels in financial markets.
Rapid identification of bacteria is essential to prevent the spread of infectious disease, help combat antimicrobial resistance, and improve patient outcomes. Raman optical spectroscopy promises to combine bacterial detection, identification, and antibiotic susceptibility testing in a single step. However, achieving cl…
The paper discovers and evaluates support and resistance levels in financial time series.
DAFNO learns surrogates for complex systems on irregular geometries.
New approach uses RS levels to improve stock trading RL model efficiency and stability.
Shells resist three out of six possible loads if simply connected.
New framework robustifies loss functions with quantiles for outlier resistance.
Lithography simulation is one of the key steps in physical verification, enabled by the substantial optical and resist models. A resist model bridges the aerial image simulation to printed patterns. While the effectiveness of learning-based solutions for resist modeling has been demonstrated, they are considerably data…
RESIST improves decentralized learning resilience against MITM attacks.
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 …