arXiv research

Crowdsourced reinforcement learning optimizes knee replacement pathway, reducing costs.

Improved assessment of knee osteoarthritis using geodesic B-score.

Method detects lithium-ion battery knee onset for early warning.

Convolutional neural networks improve KL grade prediction from Indian knee radiographs.

In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and d-curvatures), a jet "electromagnetic" d-field and its geometric "electromagnetic" Yang-Mills energy, starting from a given dynamical syste…

Expands statistical background for knee osteoarthritis treatment models.

Deep learning improves MRI analysis of MSK disorders.

New model selects more promising patients for knee osteoarthritis trials.

MosaicMRI expands public datasets for musculoskeletal MRI, revealing cross-anatomical correlations.

The automatic segmentation of human knee cartilage from 3D MR images is a useful yet challenging task due to the thin sheet structure of the cartilage with diffuse boundaries and inhomogeneous intensities. In this paper, we present an iterative multi-class learning method to segment the femoral, tibial and patellar car…

A treatment regime is a function that maps individual patient information to a recommended treatment, hence explicitly incorporating the heterogeneity in need for treatment across individuals. Patient responses are dichotomous and can be predicted through an unknown relationship that depends on the patient information …

LOUPE optimizes MRI under-sampling patterns for faster scans.

Generative adversarial networks reconstruct MRI images without full data.

We apply L0 regularization to reduce neural network complexity and interpretability.

Prodigy estimates learning rate without tuning, improving convergence.

New algorithm trains neural nets on simple skills to learn complex tasks faster.

Spatial graphs study tangle replacement with equivalence classes.

We introduce new symplectic cut-and-paste operations that generalize the rational blowdown. In particular, we will define $k$-replaceable plumbings to be those that, heuristically, can be symplectically replaced by Euler characteristic $k$ 4-manifolds. We will then classify 2-replaceable linear plumbings, construct 2-r…

Efficiently samples sequences without replacement for machine learning models.

This paper addresses credit valuation adjustment with a new closeout convention.

Generative model attacks CNN on MNIST by subtly replacing input patterns.

SGD without replacement decouples into curvature-following and flatness-regularizing steps.

Researchers develop a new method for analyzing shape changes in medical data.

AIB method improves robustness against adversarial perturbations.

Develops algorithms to optimize machine replacement schedules using operational data.

Tangle replacements help in understanding knot properties.

The present study provides a comparative assessment of non-invasive sensors as means of estimating the microbial contamination and time-on-shelf (i.e. storage time) of leafy green vegetables, using a novel unified spectra analysis workflow. Two fresh ready-to-eat green salads were used in the context of this study for …

Paper closes convergence gap for SGD without replacement.

New method for simplifying knots with specific properties.

PC-RNN reconstructs MRI images from undersampled data with more details.

Ankle sprains and instability are major public health concerns. Up to 70% of individuals do not fully recover from a single ankle sprain and eventually develop chronic ankle instability (CAI). The diagnosis of CAI has been mainly based on self-report rather than objective biomechanical measures. The goal of this study …

If M and N are equivariantly homotopy equivalent G-manifolds, then the fixed sets M^G and N^G are also homotopy equivalent. The replacement problem asks the converse question: If F is homotopy equivalent to the fixed set M^G, is F = N^G for a G-manifold equivariantly homotopy equivalent to M? We prove that for locally …

Sampling without replacement speeds up optimization in minimax problems.

Prune and Replace NAS expands search space for faster network discovery.

New research disproves a key conjecture in optimization.

Comprehensive surgical planning require complex patient-specific anatomical models. For instance, functional muskuloskeletal simulations necessitate all relevant structures to be segmented, which could be performed in real-time using deep neural networks given sufficient annotated samples. Such large datasets of multip…

New sketches for weighted $\ell_p$ sampling without replacement improve accuracy and efficiency.

The well-known Gumbel-Max trick for sampling from a categorical distribution can be extended to sample $k$ elements without replacement. We show how to implicitly apply this 'Gumbel-Top-$k$' trick on a factorized distribution over sequences, allowing to draw exact samples without replacement using a Stochastic Beam Sea…

Efficient method for shape modeling invariant to rigid motion.

We develop an analog of harmonic replacement in the gauge theory context. The idea behind harmonic replacement dates back to Schwarz and Perron. The technique, as introduced by Jost and further developed by Colding and Minicozzi, involves taking a map $v\colonΣ\to M$ defined on a surface $Σ$ and replacing its values on…

Stochastic gradient methods for machine learning and optimization problems are usually analyzed assuming data points are sampled \emph{with} replacement. In practice, however, sampling \emph{without} replacement is very common, easier to implement in many cases, and often performs better. In this paper, we provide comp…

Boring is an operation which converts a knot or two-component link in a 3--manifold into another knot or two-component link. It generalizes rational tangle replacement and can be described as a type of 2--handle attachment. Sutured manifold theory is used to study the existence of essential spheres and planar surfaces …

This paper reformulates $F_β$ for better model performance and interpretation.

Improved convergence for VIPs with SEG-RR, a variant of SEG with random reshuffling.

Study bounds the Morse index of a special torus to 1.

Skeleta and other pure subsets of manifold stratified spaces are shown to have neighborhoods which are teardrops of stratified approximate fibrations (under dimension and compactness assumptions). In general, the stratified approximate fibrations cannot be replaced by bundles, and the teardrops cannot be replaced by ma…

The paper introduces methods to quantify uncertainty in sampling without replacement.

A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional affine bundles replace functions on manifolds, is used. Lagrangian a…