Difference between revisions of "Local Linear Embedding (LLE)"

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[https://www.google.com/search?q=Local+Linear+Embedding+machine+learning+ML ...Google search]
 
[https://www.google.com/search?q=Local+Linear+Embedding+machine+learning+ML ...Google search]
  
* [[AI Solver]]
+
* [[AI Solver]] ... [[Algorithms]] ... [[Algorithm Administration|Administration]] ... [[Model Search]] ... [[Discriminative vs. Generative]] ... [[Optimizer]] ... [[Train, Validate, and Test]]
* [[...find outliers]]
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* [[Embedding]]:  [[Agents#AI-Powered Search|Search]] ... [[Clustering]] ... [[Recommendation]] ... [[Anomaly Detection]] ... [[Classification]] ... [[Dimensional Reduction]] ... [[...find outliers]]
* [[Embedding]]
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* [[Backpropagation]] ... [[Feed Forward Neural Network (FF or FFNN)|FFNN]] ... [[Forward-Forward]] ... [[Activation Functions]] ...[[Softmax]] ... [[Loss]] ... [[Boosting]] ... [[Gradient Descent Optimization & Challenges|Gradient Descent]] ... [[Algorithm Administration#Hyperparameter|Hyperparameter]] ... [[Manifold Hypothesis]] ... [[Principal Component Analysis (PCA)|PCA]]
 
** [[T-Distributed Stochastic Neighbor Embedding (t-SNE)]]
 
** [[T-Distributed Stochastic Neighbor Embedding (t-SNE)]]
* [[Anomaly Detection]]
 
 
* [[Dimensional Reduction]]
 
* [[Dimensional Reduction]]
* [[Principal Component Analysis (PCA)]]
 
 
* [[Isomap]]
 
* [[Isomap]]
* [[Kernel Trick]]
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* [[Math for Intelligence]] ... [[Finding Paul Revere]] ... [[Social Network Analysis (SNA)]] ... [[Dot Product]] ... [[Kernel Trick]]
 
* [https://cs.nyu.edu/~roweis/lle/ Locally Linear Embedding | S.T. Roweis & L. K. Saul - NYU]
 
* [https://cs.nyu.edu/~roweis/lle/ Locally Linear Embedding | S.T. Roweis & L. K. Saul - NYU]
 
* [https://en.wikipedia.org/wiki/Nonlinear_dimensionality_reduction Nonlinear  dimensionality reduction | Wikipedia]
 
* [https://en.wikipedia.org/wiki/Nonlinear_dimensionality_reduction Nonlinear  dimensionality reduction | Wikipedia]

Revision as of 02:21, 11 July 2023

YouTube search... ...Google search

begins by finding a set of the nearest neighbors of each point. It then computes a set of weights for each point that best describes the point as a linear combination of its neighbors. Finally, it uses an [1]-based optimization technique to find the low-dimensional embedding of points, such that each point is still described with the same linear combination of its neighbors. LLE tends to handle non-uniform sample densities poorly because there is no fixed unit to prevent the weights from drifting as various regions differ in sample densities. LLE has no internal model. LLE was presented at approximately the same time as Isomap. It has several advantages over Isomap, including faster optimization when implemented to take advantage of sparse matrix algorithms, and better results with many problems

Steps-of-locally-linear-embedding-algorithm.png