Research
On-device research index

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.

168,742 papers · 148 categories

Trend · papers per month

12.5%25.0%37.5%50.0% · Dec 199319922001200920172026
48 results for left ventricle (LV)

LU-Net improves cardiac segmentation accuracy and robustness.

problem Robustness and accuracy of deep learning cardiac segmentation.
method Multi-task end-to-end network designed to improve cardiac segmentation.
result Outperforms current best deep learning solution, reducing outliers and improving clinical indices.

New method calibrates LV surfaces for exotic derivatives with smoother, more stable Greeks.

problem Challenges in LV calibration leading to spiky surfaces and unstable Greeks.
method Automatic local regression to pre-process market observables and smooth LV surfaces.
result Significantly smoother LV surfaces and greatly improved Greek stability with negligible additional cost.

Deep learning models trained on adult cardiac MRI data struggle to accurately segment rare congenital heart diseases.

problem Accuracy of U-Net-based segmentation models trained on adult cardiac MRI data when applied to rare congenital heart diseases like Tetralogy of Fallot.
method Cross-validation with four-fold, evaluation on unseen data from different pathologies.
result Deep learning models overfit to the training data, leading to significant accuracy drops when applied to other pathologies.

Develops fully Bayesian LVGP for better uncertainty quantification.

problem Uncertainty in qualitative inputs for GP models.
method Maps qualitative inputs to latent variables, uses standard GP over LVs, estimates LVs through ML, develops fully Bayesian approach.
result Significant improvements in prediction accuracy and uncertainty quantification over plug-in approach.

This work analyzes VQ-VAEs using information theory, focusing on latent variables and their impact on generalization and data generation.

problem Lack of theoretical analysis for latent variables in unsupervised models like VQ-VAEs.
method Information-theoretic analysis, introducing a novel data-dependent prior.
result Derives a generalization error bound for VQ-VAEs that depends on LV complexity and encoder, not decoder.

D-Wave quantum annealing fails to improve sampling quality from RBMs compared to Gibbs sampling.

problem Improving sampling quality from RBMs using D-Wave quantum annealing.
method Comparison of D-Wave quantum annealing and Gibbs sampling for RBM sampling.
result D-Wave sampling does not significantly improve the number of local valleys compared to Gibbs sampling.

New method for high-dimensional manifold-based inference tackles latent responses.

problem Inference on latent right factor vectors in multi-task learning with large numbers of responses and features.
method SOFARI-R method with two variants: one for strongly orthogonal factors and another for weakly orthogonal factors.
result Bias-corrected estimators for latent right factor vectors with asymptotically normal distributions and justified asymptotic variance estimates.

The increasing penetration of distributed energy resources poses numerous reliability issues to the urban distribution grid. The topology estimation is a critical step to ensure the robustness of distribution grid operation. However, the bus connectivity and grid topology estimation are usually hard in distribution gri…

2016-11-06abs ↗pdf ↗

New approach improves computational efficiency of Bass Local Volatility model.

problem Eliminate interpolation and improve computational efficiency in local volatility models.
method Combines local quadratic estimation and lognormal mixture tails for state price densities; uses trapezoidal rule for numerical convolutions.
result Proposed method outperforms traditional numerical methods in option pricing and market case studies.

Researchers use operator learning to predict cardiac activation and repolarization times.

problem Computational demands and need for clear, interpretable information in cardiac electrophysiology.
method Exploiting Fourier Neural Operators (FNO) and Kernel Operator Learning (KOL) to learn operator mappings.
result Both FNO and KOL approaches are computationally efficient and robust to hyperparameters.

Variable selection in high-dimensional space characterizes many contemporary problems in scientific discovery and decision making. Many frequently-used techniques are based on independence screening; examples include correlation ranking (Fan and Lv, 2008) or feature selection using a two-sample t-test in high-dimension…

2008-12-17abs ↗pdf ↗

We view closed orientable 3-manifolds as covers of S^3 branched over hyperbolic links. For a p-fold cover M \to S^3, branched over a hyperbolic link L, we assign the complexity p Vol(S^3 minus L) (where Vol is the hyperbolic volume). We define an invariant of 3-manifolds, called the link volume and denoted LV, that ass…

2012-05-07abs ↗pdf ↗

Study tackles causal structure learning in linear models with unobserved variables and measurement error.

problem Challenges of unobserved common causes and measurement error in causal structure learning.
method Introduces LV-SEM-ME model with four types of variables and characterizes identifiability under separability condition.
result Establishes form of identification robustness for target effect in broader LV-SEM-ME model.

New analysis shows optimal embedding learning rate depends on vocabulary size, not just model width.

problem Optimal learning rate for language model embeddings is not well understood, especially with large vocabularies.
method Theoretical analysis of training dynamics, interpolation between μμP and LV regimes.
result Optimal embedding learning rate scales as Θ(width)Θ(\sqrt{width}) in the LV regime, not Θ(width)Θ(width) as μμP predicts.

The article extends previous work on contracting convex hypersurfaces by nonhomogeneous curvature functions.

problem Contraction of convex hypersurfaces by nonhomogeneous functions of curvature.
method Extending previous results to various cases, showing convergence to asymptotically round points under pinching conditions.
result Convergence to asymptotically round points under suitable rescaling and pinching conditions.

Proves HNN extensions of nilpotent groups are left-orderable, constructs non-left-orderable examples.

problem Characterizing left-orderability in HNN extensions of groups.
method Analyzes HNN extensions of torsion-free nilpotent groups and left-orderable groups.
result Constructs examples of non-left-orderable HNN extensions of left-orderable groups.

Framework for joint learning of tasks on dementia data with missing values.

problem Lack of multi-task learning, handling time-dependent data, and missing values in dementia forecasting.
method Proposes SSHIBA model using Bayesian variational inference for imputation and combined information from different views.
result SSHIBA model outperforms baselines in predicting diagnosis, ventricle volume, and clinical scores in dementia.

Linear ODEs are solved by geodesics in hyperbolic geometry.

problem Solving real linear second order ODEs.
method Defined a Riemannian hyperbolic geometry and showed that solutions to ODEs correspond to geodesics in this geometry.
result Local solutions to ODEs correspond to geodesics in a specific hyperbolic geometry.

The paper revisits the σkσ_k-Yamabe problem and proves the existence of a conformal metric with constant σ2σ_2-scalar curvature.

problem Finding a conformal metric with constant σkσ_k-scalar curvature on closed manifolds.
method Analyzing the σ2σ_2-Yamabe constant and proving its achievability under certain conditions.
result The σ2σ_2-Yamabe constant is achieved by a conformal metric, solving the σ2σ_2-Yamabe problem on manifolds with positive Yamabe constant.