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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.

169,291 papers · 148 categories

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7 results for “plane-based”

A general model for plane-based clustering with loss functioncs.LG

Proposes a general model for plane-based clustering with a new loss function.

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.

clustering plane-based loss function optimization kPC

2019-01-26abs ↗pdf ↗

Ramp-based Twin Support Vector Clusteringcs.LG

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.

clustering support vector ramp cost nonlinear manifold robustness

2018-12-10abs ↗pdf ↗

Understanding Unconventional Preprocessors in Deep Convolutional Neural Networks for Face Identificationcs.CV

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.

face identification deep convolutional neural networks preprocessing color space quantization

2019-03-27abs ↗pdf ↗

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.

rolling bodies inclined plane rigorous existence maritime rescue

2023-12-26abs ↗pdf ↗

Steiner's formula and a variational proof of the isoperimetric inequalitymath.DG

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.

isoperimetric inequality Steiner's formula variational proof

2019-09-13abs ↗pdf ↗

On metrics on 2-orbifolds all of whose geodesics are closedmath.DG

We show that the geodesic period spectrum of a Riemannian 2-orbifold all of whose geodesics are closed depends, up to a constant, only on its orbifold topology and compute it. In the manifold case we recover the fact proved by Gromoll, Grove and Pries that all prime geodesics have the same length. In the appendix we pa…

2016-03-28abs ↗pdf ↗

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.

conformal mapping multiply-connected surfaces quasi-conformal theory surface parameterization

2020-09-10abs ↗pdf ↗