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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
The Bathroom Model: A Realistic Approach to Hash Table Al...
Qiantong Wang · 2025-02-16 · via cs.DS updates on arXiv.org

Hash table search strategies have remained a pivotal area of inquiry in computer science over the past several decades. A prevailing viewpoint asserts that random probing stands as the optimal method for open-addressing hash tables. Challenging this long-standing belief, a recent contribution introduces an elastic probing technique based on fixed interval thresholds. Although this method presents improvements over traditional strategies, its dependence on static thresholds limits its theoretical optimality. In this paper, we propose a new conceptual model for optimizing hash table probing, inspired by human behavior in selecting restroom stalls - dubbed the "Bathroom Model." Unlike fixed or purely random approaches, our technique dynamically updates probing decisions using previously observed occupancy patterns, resulting in a more intelligent and adaptive search process. We rigorously formalize this model, analyze its theoretical properties, and benchmark its performance against leading hash table algorithms. Our findings indicate that adaptive probing mechanisms can significantly enhance search efficiency while keeping computational demands minimal. This work not only sheds new light on an extensively studied problem but also points to broader algorithmic opportunities in rethinking classical data structures.