Jellyfish existmath.DG
New jellyfish found in various flows.
problem Existence of geometrically distinct shapes in flows.
method Analyzing elastic, curve diffusion, and ideal flows.
result Infinitely many distinct shapes discovered.
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4 results for “jellyfish”
Paper defines a jellyfish algorithm for a specific subfactor planar algebra.
problem Diagrammatic presentation of generators and relations for subfactor planar algebra.
method Diagrammatic presentation and proof of well-definedness of jellyfish algorithm.
result Jellyfish algorithm is a well-defined surjection onto C for subfactor planar algebra.
Characterizes a specific type of neural network for alternating group equivariance.
problem Understanding and characterizing neural networks with alternating group equivariance.
method Characterization of all possible -equivariant neural networks using tensor powers of .
result Found a basis of matrices for learnable, linear -equivariant layer functions.
Machine learning models predict bluebottles' presence on beaches, addressing class imbalance and unreliable absence data.
problem Predicting bluebottles' presence on beaches with machine learning, tackling class imbalance and unreliable absence data.
method Used Multilayer Perceptron, Random Forest, and XGBoost models; employed data augmentation techniques like SMOTE, Random Undersampling, and Synthetic Negative Approach.
result Random Forests combined with Synthetic Negative Approach provided the best predictive model, identifying wind direction as a key factor.