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Graph Sparsification by Effective Resistances

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Random Vectors in the Isotropic Position
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Genetic clustering of social networks using random walks
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Database-friendly random projections: Johnson-Lindenstrauss with binary coins
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Random-Walk Computation of Similarities between Nodes of a Graph with Application to Collaborative Recommendation
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Fast Monte Carlo Algorithms for Matrices II: Computing a Low-Rank Approximation to a Matrix
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Graph Embeddings and Laplacian Eigenvalues
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Fast monte-carlo algorithms for finding low-rank approximations
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Sampling from large matrices
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Graph partitioning using single commodity flows
inferredcites →https://doi.org/10.1145/48014.61051openalex-snapshot
A new approach to the maximum-flow problem

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Maximum Flow Algorithms
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Effective Resistance Based Weight Thresholding for Community Detection
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Communication-Efficient Distributed Graph Clustering and Sparsification Under Duplication Models
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Online Algorithms for Spectral Hypergraph Sparsification
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Effective Resistance Based Community Detection in Complex Networks
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Community Detection in Complex Networks Exploiting Spectral Graph Sparsification for Efficient Disaster Response
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Commute Times in Dense Graphs
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Clustering, Prominence and Social Network Analysis on Incomplete Networks
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Shape Simplification Through Graph Sparsification
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Fast Katz and Commuters: Efficient Estimation of Social Relatedness in Large Networks
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Multiplicative Approximations of Random Walk Transition Probabilities
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Sparsification and Sampling of Networks for Collective Classification
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Spectral Sparsification in Dynamic Graph Streams
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Random Projections, Graph Sparsification, and Differential Privacy
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Untangling Hairballs
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Graphs with Nonnegative Resistance Curvature
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Higher Dimensional Electrical Circuits
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Toward a unified theory of sparse dimensionality reduction in Euclidean space
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Spectral Sparsification in the Semi-streaming Setting
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A Queueing Network-Based Distributed Laplacian Solver
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Faster Cut Sparsification of Weighted Graphs
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Effective resistance and kernel-based graph sparsification for community detection in complex networks
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Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm
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Electrical flows over spanning trees
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Online Algorithms for Spectral Hypergraph Sparsification
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A survey on mining and analysis of uncertain graphs
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A note on using the resistance-distance matrix to solve Hamiltonian cycle problem
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EM-FGS: Graph sparsification via faster semi-metric edges pruning
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Alleviating over-smoothing via graph sparsification based on vertex feature similarity
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Opinion dynamics in social networks incorporating higher-order interactions
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An Effective Region Force for Some Variational Models for Learning and Clustering
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A line graph-based metric learning framework for robust link prediction in complex networks
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BC tree-based spectral sampling for big complex network visualization
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Sparsification of the regularized magnetic Laplacian with multi-type spanning forests
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Spectrum-preserving sparsification for visualization of big graphs
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Deep sparse graph functional connectivity analysis in AD patients using fMRI data
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Random spanning trees for expanders, sparsifiers, and virtual network security
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Resistance distance in straight linear 2-trees
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Spanning 2-forests and resistance distance in 2-connected graphs
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Algorithmic techniques for finding resistance distances on structured graphs
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A queueing network-based distributed Laplacian solver for directed graphs
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Optimization based spectral partitioning for node criticality assessment
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A generalized Lieb's theorem and its applications to spectrum estimates for a sum of random matrices
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A collaborative computer aided diagnosis (C-CAD) system with eye-tracking, sparse attentional model, and deep learning
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Federated inference and belief sharing
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Skeleton-based action recognition using sparse spatio-temporal GCN with edge effective resistance
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Modular effective resistance-guided multi-scale graph representation learning
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Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
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Duality and nonlinear graph Laplacians
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Polynomial-time algorithms for submodular Laplacian systems
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Opinion maximization in social networks via link recommendation
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Information-Theoretic Bounds on Sketching
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Network Flow Algorithms
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Preface
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Acknowledgements
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Preliminaries: Shortest Path Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.004openalex-snapshot
Maximum Flow Algorithms
inferred← citeshttps://doi.org/10.1017/9781316888568.005openalex-snapshot
Global Minimum Cut Algorithms
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More Maximum Flow Algorithms
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Minimum-Cost Circulation Algorithms
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Generalized Flow Algorithms
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Multicommodity Flow Algorithms
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Electrical Flow Algorithms
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Open Questions
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Author Index
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Index
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A stochastic process on a network with connections to Laplacian systems of equations
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Network-theoretic approach to sparsified discrete vortex dynamics
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Randomized algorithms in numerical linear algebra
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Randomized numerical linear algebra: Foundations and algorithms
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FunQG: Molecular Representation Learning via Quotient Graphs
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A graph homomorphism approach for unraveling histories of metastatic cancers and viral outbreaks under evolutionary constraints
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Reconstructing single-cell resolution from spatial transcriptomics with CellRefiner
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Network structure of turbulent premixed flames
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Fast Matrix Computations for Pairwise and Columnwise Commute Times and Katz Scores
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Generating directed networks with prescribed Laplacian spectra
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Graphs, Vectors, and Matrices
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A primal-dual optimization strategy for elliptic partial differential equations
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Resistance Distances In Simplicial Networks
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GLEE: Geometric Laplacian Eigenmap Embedding
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Single- and multi-level network sparsification by algebraic distance
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SPROUT: spectral sparsification helps restore the spatial structure at single-cell resolution
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Spectral sparsification helps restore the spatial structure at single-cell resolution
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Alternative approaches to single-cell trajectory inference using a commute time matrix
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Spectral-clustering approach to Lagrangian vortex detection
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Networked-oscillator-based modeling and control of unsteady wake flows
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Weight thresholding on complex networks
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Functional Control of Network Dynamics Using Designed Laplacian Spectra
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Evaluation and control of opinion polarization and disagreement: a review
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IES-Backbone: An Interactive Edge Selection Based Backbone Method for Small World Network Visualization
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Edge conductance estimation using MCMC
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Oversquashing in GNNs through the lens of information contraction and graph expansion
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Effective RC Reduction via Graph Sparsification for Accurate Post-Simulation of Mixed-Signal ICs
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Heterogeneous Graph Sparsification for Efficient Representation Learning
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On-the-fly Sensor Scheduling with Performance Guarantees
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Sparse Coding for Third-Order Super-Symmetric Tensor Descriptors with Application to Texture Recognition
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Dynamic Edge-Conditioned Filters in Convolutional Neural Networks on Graphs
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Similarity-Aware Spectral Sparsification by Edge Filtering
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SGL: Spectral Graph Learning from Measurements
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ON LEARNING LAPLACIANS OF TREE STRUCTURED GRAPHS
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A Nearly-m log n Time Solver for SDD Linear Systems
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Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP
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Efficient Inverse Maintenance and Faster Algorithms for Linear Programming
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Constructing Linear-Sized Spectral Sparsification in Almost-Linear Time
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On Fully Dynamic Graph Sparsifiers
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Optimality of the Johnson-Lindenstrauss Lemma
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Derandomization Beyond Connectivity: Undirected Laplacian Systems in Nearly Logarithmic Space
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Matrix Scaling and Balancing via Box Constrained Newton's Method and Interior Point Methods
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Determinant-Preserving Sparsification of SDDM Matrices with Applications to Counting and Sampling Spanning Trees
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Graph Sparsification, Spectral Sketches, and Faster Resistance Computation, via Short Cycle Decompositions
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A Matrix Chernoff Bound for Strongly Rayleigh Distributions and Spectral Sparsifiers from a few Random Spanning Trees
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Solving Directed Laplacian Systems in Nearly-Linear Time through Sparse LU Factorizations
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New Notions and Constructions of Sparsification for Graphs and Hypergraphs
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Robust and Sample Optimal Algorithms for PSD Low Rank Approximation
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Algorithms and Hardness for Linear Algebra on Geometric Graphs
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Quantum Speedup for Graph Sparsification, Cut Approximation and Laplacian Solving
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Fast Dynamic Cuts, Distances and Effective Resistances via Vertex Sparsifiers
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A Deterministic Algorithm for Balanced Cut with Applications to Dynamic Connectivity, Flows, and Beyond
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Spectral Hypergraph Sparsifiers of Nearly Linear Size
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Optimal Sublinear Sampling of Spanning Trees and Determinantal Point Processes via Average-Case Entropic Independence
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Derandomizing Directed Random Walks in Almost-Linear Time
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Streaming Facility Location in High Dimension via Geometric Hashing
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The Complexity of Dynamic Least-Squares Regression
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Sparsifying Sums of Norms
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Sensitivity Sampling for $k$-Means: Worst Case and Stability Optimal Coreset Bounds
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Decentralized computation of effective resistances and acceleration of consensus algorithms
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pdGRASS: A Fast Parallel Density-Aware Algorithm for Graph Spectral Sparsification
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Explicitly Defined Sampling Categories for ESA on a Bipartite Graph
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Linear Quantization by Effective-Resistance Sampling
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Weighted Gradient Coding with Leverage Score Sampling
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Edge Sampling of Graphs Based on Edge Smoothness
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pGRASS-Solver: A Parallel Iterative Solver for Scalable Power Grid Analysis Based on Graph Spectral Sparsification
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Accuracy-Preserving Reduction of Sparsified Reduced Power Grids with A Multilevel Node Aggregation Scheme
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Hardware-Aware Spectral Sparsification for Efficient GNN Training under Memory Constraints
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Graph Neural Network Architectures for Complex Pattern Modelling
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Fast and Accurate Graph Stream Summarization
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Edge Sparsification for Graphs via Meta-Learning
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Opinion Dynamics Incorporating Higher-Order Interactions
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A Generic Graph Sparsification Framework using Deep Reinforcement Learning
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Towards Scalable Spectral Sparsification of Directed Graphs
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Leveraging k-Weighted Dominating Set for Graph Sparsification
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Design of Sampling Matrices in Graph Frequency Domain for Graph Signal Processing
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Spectral sparsification in spectral clustering
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Semi-supervised Graph Rewiring with the Dirichlet Principle
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New Graph Distance Measures and Matching of Topological Maps for Robotic Exploration
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Scalable Networked Feature Selection with Randomized Algorithm for Robot Navigation
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Spectral partitioning for node criticality
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Distributed Local Sketching for £2 Embeddings
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Analysis of very large resistive networks using low distortion embedding
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Constructing small-signal equivalent impedances using ellipsoidal norms
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Toeplitz-Plus-Hankel Matrix Recovery for Green’s Function Computations on General Substrates
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Topology-Based Spectral Sparsification
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Estimation With Fast Feature Selection in Robot Visual Navigation
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Scalable Spectral Clustering With Nyström Approximation: Practical and Theoretical Aspects
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Sublinear-Time Attraction Force Computation for Large Complex Graph Drawing
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Sublinear-time Algorithms for Stress Minimization in Graph Drawing
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