Nearest Neighbor Graph

Nearest neighbor graphs (NNGs) represent data points by connecting each point to its closest neighbors, forming a network that captures local data structure. Current research focuses on optimizing NNG construction, including adaptive k-value selection, pruning spurious edges to improve manifold learning, and leveraging hypergraph extensions to model higher-order relationships. These advancements enhance the utility of NNGs in diverse applications such as dimensionality reduction, data interpolation, clustering, and information extraction from complex documents, improving accuracy and efficiency in these tasks.

Papers

October 2, 2024

Recovering Manifold Structure Using Ollivier-Ricci Curvature
Tristan Luca Saidi, Abigail Hickok, Andrew J. Blumberg
Manifold Learning Persistent Homology Low Dimensional Manifold Non Linear Manifold Nearest Neighbor Graph Ollivier Ricci Curvature

May 8, 2024

Lightweight Spatial Modeling for Combinatorial Information Extraction From Documents
Yanfei Dong, Lambert Deng, Jiazheng Zhang, Xiaodong Yu, Ting Lin, Francesco Gelli, Soujanya Poria, Wee Sun Lee
Entity Mention Human Annotation Document Relevance Spatial Interaction Rich Document Nearest Neighbor Graph Entity Classification

May 2, 2024

Hypergraph $p$-Laplacian regularization on point clouds for data interpolation
Kehan Shi, Martin Burger
Point Cloud Nested Hypergraphs Interpolation Regime Nearest Neighbor Graph Hypergraph Structure Laplacian Regularization

January 16, 2024

Optimizing $k$ in $k$NN Graphs with Graph Learning Perspective
Asuka Tamaru, Junya Hara, Hiroshi Higashi, Yuichi Tanaka, Antonio Ortega
Graph Learning Graph Signal Processing Point Cloud Denoising Nearest Neighbor Graph NN Graph

September 19, 2023

A Neighbourhood-Aware Differential Privacy Mechanism for Static Word Embeddings
Danushka Bollegala, Shuichi Otake, Tomoya Machide, Ken-ichi Kawarabayashi
Jina Embeddings Gaussian Noise Local Differential Privacy Static Word Embeddings Differential Privacy Mechanism Nearest Neighbor Graph

August 4, 2023

Distribution-Informed Adaptation for kNN Graph Construction
Shaojie Min, Ji Liu
Graph Construction Nearest Neighbor Graph Graph Out of Distribution Adaptation Adaptive K

May 22, 2023

Progressive Sub-Graph Clustering Algorithm for Semi-Supervised Domain Adaptation Speaker Verification
Zhuo Li, Jingze Lu, Zhenduo Zhao, Wenchao Wang, Pengyuan Zhang
Practical Algorithm Graph Clustering Speaker Recognition Task Nearest Neighbor Graph Self Supervised Speaker Verification

March 31, 2023

kNN-Res: Residual Neural Network with kNN-Graph coherence for point cloud registration
Muhammad S. Battikh, Dillon Hammill, Matthew Cook, Artem Lensky
Point Cloud Registration Residual Neural Network Point Set Spatial Coherence Nearest Neighbor Graph Smoothness Constraint Feature Drift KNN Seq

March 10, 2023

A Theoretical Analysis Of Nearest Neighbor Search On Approximate Near Neighbor Graph
Anshumali Shrivastava, Zhao Song, Zhaozhuo Xu
Nearest Neighbor Theoretical Analysis Graph Based Neural Nearest Neighbor Graph NN Search

February 27, 2023

In search of the most efficient and memory-saving visualization of high dimensional data
Bartosz Minch
Search Query High Dimensional Data Dimensional Embeddings Nearest Neighbor Graph Multidimensional Datasets

February 22, 2023

Refining a $k$-nearest neighbor graph for a computationally efficient spectral clustering
Mashaan Alshammari, John Stavrakakis, Masahiro Takatsuka
Spectral Clustering Clustering Method Clustering Result Nearest Neighbor Graph Spectral Approximation

March 24, 2022

Hierarchical Nearest Neighbor Graph Embedding for Efficient Dimensionality Reduction
M. Saquib Sarfraz, Marios Koulakis, Constantin Seibold, Rainer Stiefelhagen
Dimensionality Reduction High Dimensional Data Dimension Reduction Projection Free Nearest Neighbor Graph Neighborhood Graph

December 13, 2021

Fast Single-Core K-Nearest Neighbor Graph Computation
Dan Kluser, Jonas Bokstaller, Samuel Rutz, Tobias Buner
High Dimensional Distance Metric Nearest Neighbor Graph Low Dimensional Data Single Core

December 5, 2021

Learning Query Expansion over the Nearest Neighbor Graph
Benjamin Klein, Lior Wolf
Image Search Query Expansion Query Representation Nearest Neighbor Graph Graph Query

Nearest Neighbor Graph

Papers

Recovering Manifold Structure Using Ollivier-Ricci Curvature

Lightweight Spatial Modeling for Combinatorial Information Extraction From Documents

Hypergraph $p$-Laplacian regularization on point clouds for data interpolation

Optimizing $k$ in $k$NN Graphs with Graph Learning Perspective

A Neighbourhood-Aware Differential Privacy Mechanism for Static Word Embeddings

Distribution-Informed Adaptation for kNN Graph Construction

Progressive Sub-Graph Clustering Algorithm for Semi-Supervised Domain Adaptation Speaker Verification

kNN-Res: Residual Neural Network with kNN-Graph coherence for point cloud registration

A Theoretical Analysis Of Nearest Neighbor Search On Approximate Near Neighbor Graph

In search of the most efficient and memory-saving visualization of high dimensional data

Refining a $k$-nearest neighbor graph for a computationally efficient spectral clustering

Hierarchical Nearest Neighbor Graph Embedding for Efficient Dimensionality Reduction

Fast Single-Core K-Nearest Neighbor Graph Computation

Learning Query Expansion over the Nearest Neighbor Graph