{"ID":2867157,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.19021","arxiv_id":"2509.19021","title":"A Predictive Framework for Base-n Radix Sort Optimization","abstract":"Sorting is a foundational primitive of computer science and optimizations in sorting subroutines can cascade into significant performance gains for high-throughput systems. In this paper, we analyze the inefficiencies of a non-comparison sorting algorithm, namely, Base-n Radix Sort (BNRS), specifically the `zero padding' problem in skewed datasets. We develop an execution model, called, Stable Partitioning - Least Significant Digit Radix Sort (shortly, SP-LSD), an iterative least significant digit based pruning model designed to address this inefficiency. Based on this development, we derive the Radix Crossover Framework(RCF), an analytic three-point decision framework. The framework is established on the precondition of non-negative integers, which enables the derivation of three critical boundaries. First, the Asymptotic Crossover ($k\u003cn^{\\log_2 n}$) defines when BNRS and SP-LSD can theoretically outperform the comparison sorting algorithms where k is the maximum value and n is the input size. Second, the Round-feasibility Crossover ($k\u003en^2$) defines when overhead cost of implemented model SP-LSD is amortized. Third, we derive Pruning Crossover parameterized by the ratio of random-access sorting cost to sequential partitioning cost. This model demonstrates that SP-LSD yields a net gain on skewed and uniform distributions over standard BNRS. The experimental results are consistent with the crossover boundaries, providing a deterministic roadmap for adaptive algorithm selection.","short_abstract":"Sorting is a foundational primitive of computer science and optimizations in sorting subroutines can cascade into significant performance gains for high-throughput systems. In this paper, we analyze the inefficiencies of a non-comparison sorting algorithm, namely, Base-n Radix Sort (BNRS), specifically the `zero paddin...","url_abs":"https://arxiv.org/abs/2509.19021","url_pdf":"https://arxiv.org/pdf/2509.19021v2","authors":"[\"Atharv Pandey\",\"Lakshmanan Kuppusamy\"]","published":"2025-09-23T13:58:20Z","proceeding":"cs.DS","tasks":"[\"cs.DS\"]","methods":"[]","has_code":false}