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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.

169,051 papers · 148 categories

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12.5%25.0%37.5%50.0% · Sep 199319922001200920172026
48 results for 3D brain volumes

Paper presents a brain tumor segmentation method using NGMM and 3D FVF.

problem Automatic brain tumor segmentation from MRIs is challenging.
method Normalized Gaussian Bayesian classifier and 3D Fluid Vector Flow algorithm.
result The method successfully segments brain tumors from MRI images.

Paper extends 2D ZSAD to 3D MRI without training, achieving robust anomaly detection.

problem Challenges in extending zero-shot anomaly detection to 3D medical images.
method Constructs localized volumetric tokens by aggregating 2D slices processed by 2D foundation models.
result Training-free, batch-based ZSAD effectively extends from 2D encoders to full 3D MRI volumes.

Trans-Unet predicts brain folding patterns from 3D point-clouds using novel 3D-to-2D transformation.

problem Challenges in learning high-fidelity 3D point-cloud features, including permutation invariance and fine-grained surface reconstruction.
method Transform 3D point-clouds into a 2D grid domain, then use a U-shaped hybrid model with CNNs and self-attention mechanisms.
result Trans-Unet achieves high-resolution predictions of brain patch growth, surpassing existing methods in fidelity and accuracy.

Paper classifies brain signals using eigenvalues for 2D and 3D educational content questions.

problem Classifying brain signals for 2D and 3D educational content questions.
method Eigenvalues of covariance matrix used as features; KNN and SVM classifiers applied.
result No significant difference in learning, memory retention, and recall between 2D and 3D educational content.

Proposes a method to improve skull stripping accuracy in MRI images.

problem Skull stripping accuracy in MRI images is improved.
method Context-encoding method to empower 2D networks with 3D semantic information.
result Achieves superior accuracy (dice score 99.6% on NFBS, 99.09% on LPBA40, 99.17% on OASIS) compared to state-of-the-art methods.

Unified VAE for brain aging analysis improves regression accuracy.

problem Applying VAE to supervised learning for brain imaging data.
method Unified probabilistic model for latent space learning with conditional distribution modeling.
result Model predicts age from MR images more accurately than state-of-the-art methods.

Novel approach combines local and global brain changes for AD prediction.

problem Detecting Alzheimer's disease through local and global brain changes.
method Patch-based 3D-CNNs combined with global topological features for multi-scale brain tissue connectivity.
result Average precision score of 0.95 for classifying cognitively normal subjects and AD patients (prevalence ~55%).

Topology-enhanced loss improves 3D object reconstruction from 2D images.

problem Challenges in reconstructing 3D objects from 2D images, especially capturing shape information.
method Integrates multi-scale topological features into the reconstruction loss using cubical complexes and optimal transport distance.
result Topology-aware loss substantially improves 3D reconstruction quality.

Global Planar Convolution boosts brain tumor segmentation by enhancing context perception.

problem Improving context perception in brain tumor segmentation networks.
method Introduced Global Planar Convolution module to enhance context aggregation in brain tumor segmentation.
result Global Planar Convolution eliminates the need for multiple representation levels in segmentation networks.

Deep learning aids in automatic detection and segmentation of brain metastases.

problem Manual detection and segmentation of brain metastases is tedious and time-consuming.
method Deep learning approach using a fully convolutional neural network (CNN).
result Deep learning approach achieves high precision, recall, and Dice scores.

Novel method uses image descriptors to harmonize MRI brain volumes across centers.

problem Inconsistencies in MRI brain volume measurements across different centers and scanners.
method Trained a Relevance Vector Machine (RVM) model using image descriptors to harmonize brain volumes.
result Decreases scanner and center variability while preserving measurements for longitudinal studies.

Lower bounds for geodesic ball volume in 3D with Ricci curvature constraints.

problem Finding volume bounds in 3D manifolds with Ricci curvature limits.
method Providing lower bounds for geodesic ball volume with upper bounds on Ricci curvature.
result Established lower bounds for geodesic ball volume under Ricci curvature constraints.

New method uses image-level and pixel-level annotations for brain tumor segmentation.

problem Challenges in obtaining pixel-level annotations for brain tumor segmentation.
method Proposes a learning-based framework that combines both pixel- and image-level annotations.
result Method's performance in segmentation quality is competitive with traditional fully-supervised approach.

In this work we propose an adversarial learning approach to generate high resolution MRI scans from low resolution images. The architecture, based on the SRGAN model, adopts 3D convolutions to exploit volumetric information. For the discriminator, the adversarial loss uses least squares in order to stabilize the traini…

2018-12-29abs ↗pdf ↗

Paper proposes a neural network for estimating brain conductivity without segmentation.

problem Accurate head model generation for personalized TMS with realistic conductivity.
method Convolutional neural network estimating conductivity from MRI data.
result Smooth electric field results similar to conventional methods without segmentation.

We present a novel approach to automatically segment magnetic resonance (MR) images of the human brain into anatomical regions. Our methodology is based on a deep artificial neural network that assigns each voxel in an MR image of the brain to its corresponding anatomical region. The inputs of the network capture infor…

2015-02-09abs ↗pdf ↗

Study reveals failure of uniqueness in dynamical invariants for 3D volume-preserving diffeomorphisms.

problem Uniqueness of dynamical invariants for 3D volume-preserving diffeomorphisms.
method Examined failure of uniqueness on integral homology spheres and arbitrary three-manifolds using local and global invariants.
result Failure of uniqueness is severe, with continuous and non-constant invariants appearing in C1C^1-open sets of nonvanishing exact fields of fixed helicity.

New shapes enclose less volume than the sphere, surprising in 3D.

problem Finding the minimal volume enclosed by smooth spheres with bounded curvatures.
method Produced a family of bodies parameterized by ε, each bounded by a smooth topological sphere with principal curvatures in [-1, 1].
result The unit sphere does not enclose the minimal volume among all smooth spheres in R^3 with principal curvatures in [-1, 1].

The paper studies 3D manifolds with positive scalar curvature and volume growth.

problem Understanding the geometry of 3D manifolds with positive scalar curvature.
method Analyzes volume and geometric properties of 3D complete manifolds with positive scalar curvature, considering different curvature conditions.
result Volume growth estimates for 3D manifolds with positive scalar curvature, answering Gromov's question affirmatively.

The 3D-index connects to Turaev-Viro invariant and knot periods.

problem Understanding the asymptotic expansions of the 3D-index.
method Analyzing the asymptotic behavior of the 3D-index and its connection to the Turaev-Viro invariant and knot periods.
result The asymptotic expansions of the 3D-index match to all orders with the Turaev-Viro invariant of a knot, explaining the Volume Conjecture.

The application of deep learning (DL) models to neuroimaging data poses several challenges, due to the high dimensionality, low sample size and complex temporo-spatial dependency structure of these datasets. Even further, DL models act as as black-box models, impeding insight into the association of cognitive state and…

2018-10-23abs ↗pdf ↗

Local semi-supervised method improves brain tissue classification in child MRI.

problem Inaccurate detection of brain tissue classes due to intensity variations in early developing brains.
method Kernel Fisher Discriminant Analysis (KFDA) combined with SSIM for perceptual image quality assessment.
result Optimal brain partitioning into subdomains with different average intensity values and separating surfaces between brain parts.