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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
Corpus-compressed Streaming and the Spotify Problem
Aubrey Alston · 2017-07-01 · via cs.DS updates on arXiv.org

In this work, we describe a problem which we refer to as the \textbf{Spotify problem} and explore a potential solution in the form of what we call corpus-compressed streaming schemes. Inspired by the problem of constrained bandwidth during use of the popular Spotify application on mobile networks, the Spotify problem applies in any number of practical domains where devices may be periodically expected to experience degraded communication or storage capacity. One obvious solution candidate which comes to mind immediately is standard compression. Though obviously applicable, standard compression does not in any way exploit all characteristics of the problem; in particular, standard compression is oblivious to the fact that a decoder has a period of virtually unrestrained communication. Towards applying compression in a manner which attempts to stretch the benefit of periods of higher communication capacity into periods of restricted capacity, we introduce as a solution the idea of a corpus-compressed streaming scheme. This report begins with a formal definition of a corpus-compressed streaming scheme. Following a discussion of how such schemes apply to the Spotify problem, we then give a survey of specific corpus-compressed scheming schemes guided by an exploration of different measures of description complexity within the Chomsky hierarchy of languages.