Proposes a general model for plane-based clustering with a new loss function.
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7 results for “plane-based”
problem Clustering of data points in a plane-based approach.
method General model containing existing methods, optimization problem with total loss minimization.
result The proposed method effectively clusters data points with a new loss function.
Introduces ramp-based twin support vector clustering for robust clustering.
problem Traditional clustering methods amplify cost, leading to less robust clustering.
method Introduces ramp cost function into plane-based clustering to propose RampTWSVC.
result RampTWSVC finds intrinsic clusters more robustly and efficiently.
This paper investigates the impact of unconventional preprocessors on deep convolutional neural networks for face identification.
problem The impact of unconventional preprocessors on deep convolutional neural networks for face identification.
method Varying the preprocessing module across different approaches while keeping other network architecture facets constant, using transfer learning from Inception-V3 network features.
result Improvement in discriminative capability of deep networks through preprocessing with HE, quantization, and other methods.
On the non-slippery slope: Some observations on a recent paper on rolling bodies published in Naturemath.DG
New method for rolling bodies on inclined planes, with applications to rescue operations.
problem Constructing solid bodies rolling along curves on inclined planes.
method Rigorous existence theorems and connections to maritime rescue operations.
result Comprehensive existence theorems for rolling bodies on inclined planes.
New proof of isoperimetric inequality using Steiner's formula.
problem Proving the isoperimetric inequality in the plane.
method Direct proof using Steiner's formula, bypassing domain existence.
result Establishes the isoperimetric inequality directly.
The geodesic period spectrum of orbifolds is determined by their topology.
problem Understanding the geodesic properties of 2-orbifolds.
method Analyzing the geodesic period spectrum and using orbifold topology.
result The geodesic period spectrum depends only on the orbifold topology.
Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theorycs.GR
Two novel algorithms for conformal parameterization of multiply-connected surfaces.
problem Parameterization of surfaces with holes.
method Developed efficient methods using quasi-conformal theory.
result Efficient conformal parameterization of multiply-connected surfaces.