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Reducing Curse of Dimensionality

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What this work says

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

inferredcites →https://doi.org/10.1002/9781119005353.ch7openalex-snapshot
The Traveling Salesman Problem and its Variations
inferredcites →https://doi.org/10.1006/jagm.2000.1096openalex-snapshot
A Polylogarithmic Approximation Algorithm for the Group Steiner Tree Problem
inferredcites →https://doi.org/10.1007/11523468_90openalex-snapshot
Approximation Algorithms for Euclidean Group TSP
inferredcites →https://doi.org/10.1007/11970125_6openalex-snapshot
On the minimum corridor connection and other generalized geometric problems
inferredcites →https://doi.org/10.1007/978-1-4613-0039-7openalex-snapshot
Lectures on Discrete Geometry
inferredcites →https://doi.org/10.1007/978-3-642-04295-9openalex-snapshot
Geometry of Cuts and Metrics
inferredcites →https://doi.org/10.1007/pl00009449openalex-snapshot
Nearest Neighbor Queries in Metric Spaces
inferredcites →https://doi.org/10.1007/s00037-005-0200-3openalex-snapshot
On the complexity of approximating tsp with neighborhoods and related problems
inferredcites →https://doi.org/10.1007/s00454-011-9337-9openalex-snapshot
A QPTAS for TSP with Fat Weakly Disjoint Neighborhoods in Doubling Metrics
inferredcites →https://doi.org/10.1016/0166-218x(94)90008-6openalex-snapshot
Approximation algorithms for the geometric covering salesman problem
inferredcites →https://doi.org/10.1016/j.aim.2011.08.003openalex-snapshot
Advances in metric embedding theory
inferredcites →https://doi.org/10.1016/j.comgeo.2009.05.001openalex-snapshot
On the minimum corridor connection problem and other generalized geometric problems
inferredcites →https://doi.org/10.1016/j.jalgor.2005.01.010openalex-snapshot
TSP with neighborhoods of varying size
inferredcites →https://doi.org/10.1016/j.jcss.2004.04.011openalex-snapshot
A tight bound on approximating arbitrary metrics by tree metrics
inferredcites →https://doi.org/10.1016/s0196-6774(03)00047-6openalex-snapshot
Approximation algorithms for TSP with neighborhoods in the plane
inferredcites →https://doi.org/10.1109/focs.2013.80openalex-snapshot
A Linear Time Approximation Scheme for Euclidean TSP
inferredcites →https://doi.org/10.1109/focs.2015.52openalex-snapshot
A Light Metric Spanner
inferredcites →https://doi.org/10.1109/sfcs.1996.548477openalex-snapshot
Probabilistic approximation of metric spaces and its algorithmic applications
inferredcites →https://doi.org/10.1109/sfcs.2003.1238226openalex-snapshot
Bounded geometries, fractals, and low-distortion embeddings
inferredcites →https://doi.org/10.1137/130913328openalex-snapshot
The Traveling Salesman Problem: Low-Dimensionality Implies a Polynomial Time Approximation Scheme
inferredcites →https://doi.org/10.1137/s0097539796309764openalex-snapshot
Guillotine Subdivisions Approximate Polygonal Subdivisions: A Simple Polynomial-Time Approximation Scheme for Geometric TSP, k -MST, and Related Problems
inferredcites →https://doi.org/10.1145/1007352.1007399openalex-snapshot
Bypassing the embedding
inferredcites →https://doi.org/10.1145/1810959.1810992openalex-snapshot
A constant-factor approximation algorithm for TSP with pairwise-disjoint connected neighborhoods in the plane
inferredcites →https://doi.org/10.1145/220279.220318openalex-snapshot
Approximation algorithms for geometric tour and network design problems (extended abstract)
inferredcites →https://doi.org/10.1145/276698.276868openalex-snapshot
Approximating geometrical graphs via “spanners” and “banyans”
inferredcites →https://doi.org/10.1145/780542.780628openalex-snapshot
Polylogarithmic inapproximability
inferredcites →https://doi.org/10.24033/bsmf.1997openalex-snapshot
Plongements lipschitziens dans ${\bbfR}\sp n$
inferredcites →https://doi.org/10.48550/arxiv.1703.01646openalex-snapshot
A PTAS for TSP with Neighborhoods Among Fat Regions in the Plane

What points at this work

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

inferred← citeshttps://doi.org/10.1016/j.ejor.2026.06.014openalex-snapshot
Improved approximation for min-max k-path cover with neighborhoods: Leveraging refined geometric spanning and adaptive recombination
inferred← citeshttps://doi.org/10.1016/j.ipl.2025.106581openalex-snapshot
A PTAS for k-hop MST on the Euclidean plane: Improving dependency on k
inferred← citeshttps://doi.org/10.1109/cdc40024.2019.9030031openalex-snapshot
A Submodular Optimization Approach to the Metric Traveling Salesman Problem with Neighborhoods
inferred← citeshttps://doi.org/10.1109/focs.2018.00082openalex-snapshot
Epsilon-Coresets for Clustering (with Outliers) in Doubling Metrics
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00043openalex-snapshot
A Gap-ETH-Tight Approximation Scheme for Euclidean TSP
inferred← citeshttps://doi.org/10.1109/focs61266.2024.00107openalex-snapshot
Novel Properties of Hierarchical Probabilistic Partitions and Their Algorithmic Applications
inferred← citeshttps://doi.org/10.1109/itca52113.2020.00008openalex-snapshot
Using Machine Learning to Identify Movie Genres through Online Movie Synopses
inferred← citeshttps://doi.org/10.1137/1.9781611975482.67openalex-snapshot
A PTAS for Euclidean TSP with Hyperplane Neighborhoods
inferred← citeshttps://doi.org/10.1145/3717823.3718214openalex-snapshot
Near-Optimal Dimension Reduction for Facility Location
inferred← citeshttps://doi.org/10.1145/3766548openalex-snapshot
A Gap-ETH-Tight Approximation Scheme for Euclidean TSP
inferred← citeshttps://doi.org/10.15826/umj.2023.1.012openalex-snapshot
FIXED RATIO POLYNOMIAL TIME APPROXIMATION ALGORITHM FOR THE PRIZE-COLLECTING ASYMMETRIC TRAVELING SALESMAN PROBLEM
inferred← citeshttps://doi.org/10.3390/rs12101571openalex-snapshot
A New Identification Method for Surface Cracks from UAV Images Based on Machine Learning in Coal Mining Areas
inferred← citeshttps://doi.org/10.48550/arxiv.1804.02530openalex-snapshot
$\varepsilon$-Coresets for Clustering (with Outliers) in Doubling Metrics
inferred← citeshttps://doi.org/10.48550/arxiv.1809.07159openalex-snapshot
Improved Bounds for the Traveling Salesman Problem with Neighborhoods on Uniform Disks
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