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Multiperiodic Processes: Ergodic Sources with a Sublinear Entropy

arXiv:2302.09049v3 Announce Type: replace-cross Abstract: We construct multiperiodic processes — a simple example of stationary ergodic (but not mixing) processes over natural numbers that enjoy the vanishing entropy rate under a mild condition. Multiperiodic processes are supported on randomly shifted…

CodeGEMM: A Codebook-Centric Approach to Efficient GEMM in Quantized LLMs

arXiv:2512.17970v1 Announce Type: new Abstract: Weight-only quantization is widely used to mitigate the memory-bound nature of LLM inference. Codebook-based methods extend this trend by achieving strong accuracy in the extremely low-bit regime (e.g., 2-bit). However, current kernels rely on dequantization,…

Convolutional-neural-operator-based transfer learning for solving PDEs

arXiv:2512.17969v1 Announce Type: new Abstract: Convolutional neural operator is a CNN-based architecture recently proposed to enforce structure-preserving continuous-discrete equivalence and enable the genuine, alias-free learning of solution operators of PDEs. This neural operator was demonstrated to outperform for certain cases…