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cs.DS updates on arXiv.org

PAC Learning with Bandit Feedback: Sharp Sample Complexity in the Realizable Setting Algorithms with Polynomially-Improved Approximation Factors for the $2 \rightarrow q$ Norm, and Applications A computational phase transition for learning-to-sample from Ising models Covering vertices by sequential stars Fermi-Dirac machines as quantizations of neurons A Comprehensive Evaluation of Vertex Elimination Algorithms for Algorithmic Differentiation A Tight Bound on Localization of Electrical Flows Optimal Dimension-Free Sampling for Regularized Classification Reducing the Randomness in Partition Oracles for Bounded Degree Minor-Free Graphs Beyond the Half-Approximation: Fair and Efficient Online Class Matching Efficient Uniform Sampling of Surjections via their Profiles Tractable Maximization of Budgeted Phylogenetic Diversity on Networks Utilizing Node Scanwidth Fairness in Aggregation: Optimal Top-$k$ and Improved Full Ranking Learning-Augmented Online Scheduling with Parsimonious Preemption Entropy Equivalence Testing Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees The Secretary Problem with a Stochastic Precursor Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals Efficient Banzhaf-Based Data Valuation for $k$-Nearest Neighbors Classification Block-Sphere Vector Quantization An Approximation Algorithm for Graph Label Selection Iterative Chow Filtering for Learning with Distribution Shift Complexity of Non-Log-Concave Sampling in Fisher Information Stochastic Matching via Local Sparsification Finite Sample Bounds for Learning with Score Matching What is Learnable in Valiant's Theory of the Learnable? Provable Quantization with Randomized Hadamard Transform Min-Max Optimization Requires Exponentially Many Queries Fast and Compact Graph Cuts for the Boykov-Kolmogorov Algorithm A proximal gradient algorithm for composite log-concave sampling
Dimensionality Reduced Clustered Data and Order Partition...
Alexander Thomasian · 2024-01-05 · via cs.DS updates on arXiv.org

One of the goals of NASA funded project at IBM T. J. Watson Research Center was to build an index for similarity searching satellite images, which were characterized by high-dimensional feature image texture vectors. Reviewed is our effort on data clustering, dimensionality reduction via Singular Value Decomposition - SVD and indexing to build a smaller index and more efficient k-Nearest Neighbor - k-NN query processing for similarity search. k-NN queries based on scanning of the feature vectors of all images is obviously too costly for ever-increasing number of images. The ubiquitous multidimensional R-tree index and its extensions were not an option given their limited scalability dimension-wise. The cost of processing k-NN queries was further reduced by building memory resident Ordered Partition indices on dimensionality reduced clusters. Further research in a university setting included the following: (1) Clustered SVD was extended to yield exact k-NN queries by issuing appropriate less costly range queries, (2) Stepwise Dimensionality Increasing - SDI index outperformed other known indices, (3) selection of optimal number of dimensions to reduce query processing cost, (4) two methods to make the OP-trees persistent and loadable as a single file access.