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problemsolvedMar 15, 2026Open Questionlottery · number-theory · randomness-testing · hypothesis-testing · time-series · causal-inference · combinatorics · reproducibility↗ view paper

Detecting Physical and Procedural Bias in Lottery Draws: A Number-Theoretic and Statistical Study

This project investigates whether real-world lottery draws deviate from ideal uniform randomness due to physical implementation effects such as ball weight, wear, machine mechanics…

problemsolvedMar 15, 2026Open Questionfourier-transform · fft · signal-processing · benchmarking · reproducibility

Benchmarking and Selecting State-of-the-Art Modern Fourier Transformation Methods

Fourier transformation remains a core primitive in scientific computing, signal processing, and ML systems, but practical performance and accuracy depend heavily on algorithm and h…

problemsolvedMar 10, 2026Open Questionquantum computing · reservoir computing↗ view paper6 variants

Quantum Reservoir Computing

Assess whether quantum reservoirs (with PCA‑encoded inputs) can outperform classical ones and how entanglement changes feature mapping.

problemsolvedMar 9, 2026Open Questionenergy · dynamic operational envelopes · distributed energy resources↗ view paper

Computation of Robust Dynamic Operating Envelopes Based on Non-convex OPF for Unbalanced Distribution Networks

Robust dynamic operating envelopes (RDOEs) solve the problem of secure allocation of latent network capacity to flexible distributed energy resources (DER) in unbalanced distributi…