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Optimal 1-NN prototypes for pathological geometries
2021
PeerJ Computer Science
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The number and distribution of prototypes required for the classifier to match its original performance is intimately related to the geometry of the training data. ...
Finally, we show that a parametric prototype generation method that normally cannot solve this pathological setting can actually find optimal prototypes when combined with the results of our theoretical ...
Certain pathological geometries can result in especially poor performance of these heuristic algorithms. ...
doi:10.7717/peerj-cs.464
pmid:33954242
pmcid:PMC8049135
fatcat:ny32ylc7zrcqxc2yven3hqk2xq
Optimal 1-NN Prototypes for Pathological Geometries
[article]
2020
arXiv
pre-print
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The number and distribution of prototypes required for the classifier to match its original performance is intimately related to the geometry of the training data. ...
As a result, it is often difficult to find the optimal prototypes for a given dataset, and heuristic algorithms are used instead. ...
Certain pathological geometries can result in especially poor performance of these heuristic algorithms. ...
arXiv:2011.00228v1
fatcat:q5udrxke5fcz5hr7oaszhb7xam
Automatic detection of the view position of chest radiographs
2003
Medical Imaging 2003: Image Processing
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In the second step, the normalized cross correlation function at the optimal displacement is used for 5-nearest-neighbor classification. ...
., these results show that the determination of the view position of chest radiographs can be fully automated and substantially simplified if the correlation function is used directly for 5-NN classification ...
Referring to only 5 size of
leaving-one-out experiments
5 prototypes
430 prototypes
2 templates
feature image
1-NN
5-NN
1-NN
1-NN
5-NN
1-NN
64 x 64
99.09 %
98.66 %
90.62 %
98.66 %
98.77 ...
doi:10.1117/12.481404
dblp:conf/miip/LehmannGKSWW03
fatcat:4scbyklhmjg6pj5p2w3snez7rq
Large margin linear discriminative visualization by Matrix Relevance Learning
2012
The 2012 International Joint Conference on Neural Networks (IJCNN)
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This prototype-based, supervised learning scheme parameterizes an adaptive distance measure in terms of a matrix of relevance factors. ...
By means of a few benchmark problems, we demonstrate that the training process yields low rank matrices which can be used efficiently for the discriminative visualization of labeled data. ...
More importantly, a different cost function is optimized which appears to be less sensitive to the specific cluster geometry in many cases. ...
doi:10.1109/ijcnn.2012.6252627
dblp:conf/ijcnn/BiehlBSSV12
fatcat:magnb5gvbrfavhuedmmjv7vtqq
Photoacoustic spectroscopy of ovarian normal, benign, and malignant tissues: a pilot study
2011
Journal of Biomedical Optics
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Bhat for providing some of the ovarian tissues used in the study. ...
Satyamoothy, Professor and Director, Manipal Life Sciences Centre for providing the necessary facilities to carry out this study. The authors are also thankful to Dr. Rani A. ...
For classification, a prototype sample is computed from the reference (calibration) set and a given test sample is classified as belonging to the class of the closest prototype. ...
doi:10.1117/1.3583573
pmid:21721822
fatcat:ccnnq6pzfzgb5hkmnwq5ml3vgm
Design of a reconfigurable autoencoder neural network for detector front-end ASICs
2021
Zenodo
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layer
Encoder NN
Optimization of dimensions shown next
Encoder NN architecture optimization
or
or
5×5
3×3
4×4×3
8×8
2-10
Geometry mapping
# of conv2D filters
conv2D kernel size
➔ ...
physical radiation patterns
NN encoding layers
Map to a
regular
geometry
2d
3d
or
Scan filters to
extract features
• A fully-connected NN layer achieves further reduction,
exploiting ...
doi:10.5281/zenodo.4640887
fatcat:5ybluuluezdzfplm6o5zspxw7a
Determining the View of Chest Radiographs
2003
Journal of digital imaging
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Remaining errors are caused by image altering pathologies, metal artifacts, or other interferences with routine conditions. ...
For comparison to existing approaches, subsets of 430 and 5 training images are also considered. ...
The experiments based on 1,867 and 430 references were executed using a 5-NN classifier, while those referring to 5 reference images were based on a 1-NN classifier. ...
doi:10.1007/s10278-003-1655-x
pmid:14669063
pmcid:PMC3045251
fatcat:dmv735bbzjdg7brzdn3chmhq3q
Universal consistency and rates of convergence of multiclass prototype algorithms in metric spaces
[article]
2021
arXiv
pre-print
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Other Versions
While obtaining rates for Proto-NN is left open, we show that a second prototype rule that hybridizes between k-NN and Proto-NN achieves the same rates as k-NN while enjoying similar computational advantages ...
We study universal consistency and convergence rates of simple nearest-neighbor prototype rules for the problem of multiclass classification in metric paces. ...
We thank the editor and referees for carefully reading the manuscript and for the suggested improvements. ...
arXiv:2010.00636v2
fatcat:wjs4oatvcbarvd7oxn3kebwhiq
Distributionally Robust Weighted k-Nearest Neighbors
[article]
2022
arXiv
pre-print
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In this paper, we study a minimax distributionally robust formulation of weighted k-nearest neighbors, which aims to find the optimal weighted k-NN classifiers that hedge against feature uncertainties. ...
We develop an algorithm, , that efficiently solves this functional optimization problem and features in assigning minimax optimal weights to training samples when performing classification. ...
, P * M ) leads to the same optimal value for formulation (6) as (π * ; P * 1 , . . . , P * M ) for formulation (8). ...
arXiv:2006.04004v5
fatcat:5mr44gim6vbivcs7sohvpiug5e
Improving FEM crash simulation accuracy through local thickness estimation based on CAD data
2014
Advances in Engineering Software
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the benefits of computer simulations in engineering design by enabling zero-prototyping and thus reducing product development costs. ...
Finite Element Methods (FEM) have been a standard tool for a long time, particularly for modeling and simulating thermoplastic parts under service conditions [12, 16] . ...
Acknowledgements The authors would like to thank the FCT -Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through projects PEst-C/CTM/LA0025/2013 and PEst-OE/EEI ...
doi:10.1016/j.advengsoft.2014.02.003
fatcat:r2rt5sdr4zgupmgmn5p4mygbqe
A STUDY OF ULTRASONIC LIVER IMAGES CLASSIFICATION WITH ARTIFICIAL NEURAL NETWORKS BASED ON FRACTAL GEOMETRY AND MULTIRESOLUTION ANALYSIS
2004
Biomedical Engineering Applications Basis and Communications
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Moreover, the feature vector based on fractal geometry and wavelet transform can provide good discriminant ability for ultrasonic liver images under study. ...
In this study, we evaluate the accuracy of classifiers for classification of ultrasonic liver tissues. ...
>(A"-*) > (') k
Neighbor (fr-NN) Classifier [47] [48] : In a &-NN classifier, each class is represented by a set of prototype vectors. ...
doi:10.4015/s1016237204000104
fatcat:dplc3hnv4bhr3b7vw6hwb43w5u
Three-dimensional virtual histology of the human hippocampus based on phase-contrast computed tomography
2021
Proceedings of the National Academy of Sciences of the United States of America
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Accordingly, we find that the prototypical transformation between a structure representing healthy granule cells and the pathological state involves a decrease in the volume of granule cell nuclei, as ...
learning, representation of structural properties in a feature space, and classification based on the theory of optimal transport. ...
of interest (ROI) scanned at high magnification based on cone beam geometry. ...
doi:10.1073/pnas.2113835118
pmid:34819378
pmcid:PMC8640721
fatcat:jmmpgvpbv5gevdtxp5c6cfzab4
A virtual sizing tool for mitral valve annuloplasty
2016
International Journal for Numerical Methods in Biomedical Engineering
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a 24mm ring, 1.9N for a 28mm ring, and 0.8N for a 32mm ring. ...
Here we prototype a virtual sizing tool to quantify changes in annular dimensions, surgically-induced tissue strains, mitral annular stretches, and suture forces in response to mitral annuloplasty. ...
Our overall goal is to prototype a virtual surgical tool for the optimal design and selection of cardiovascular devices using predictive computational simulation. ...
doi:10.1002/cnm.2788
pmid:27028496
pmcid:PMC5289896
fatcat:ysclmqkgnbf55lq6y2h4oh6co4
Platform AF: Membrane Engineering
2008
Biophysical Journal
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The results allow for an optimization of the molecular architecture. ...
$ 6 nN for every extra pair of ÀCH 2 groups present in the chain along the series DMPC-DSPC. ...
doi:10.1016/s0006-3495(08)79058-1
fatcat:sjixny7y7vf3tal6aeemwi62mu
A uniaxial bioMEMS device for imaging single cell response during quantitative force-displacement measurements
2008
Biomedical microdevices
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A microfabricated device has been developed for imaging of a single, adherent cell while quantifying force under an applied displacement. ...
Nick Barbosa III for the SEM images. This work is a contribution of the United States Department of Commerce and is not subject to copyright in the United State. ...
Calibration curves converge on the theoretical value (b) Two other cells were measured using this device, which resulted in values of k 1 =173.24 nN/µm, k 2 =95.90 nN/µm, τ=38.37 s and k 1 =192.00 nN/µm ...
doi:10.1007/s10544-008-9202-7
pmid:18648937
fatcat:hpxbm4b3tzcbfkio52za6jhbqe
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