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    "title": "MixLinear: Extreme Low Resource Multivariate Time Series Forecasting with $0.1K$ Parameters",
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        "title": "MixLinear: Extreme Low Resource Multivariate Time Series Forecasting with $0.1K$ Parameters",
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  "claims": [
    "通过分段时间线性映射和低秩频谱映射，实现极少参数的共享通道预测。",
    "论文报告常用任务上的精度成本折中，但统一最优及极限计数仍需澄清。"
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  "review_body": "旧材料只有“尚未评审、引用低于门槛”的候选行，没有完整旧评。本次不沿用引用门槛，也不以会议录收录代替方法判断。MixLinear 的实质构思是先聚合并降采样，再把共享通道的线性预测拆成时间分段映射与低秩频域映射，最后相加恢复预测。面向极小参数模型的方向有意义，尤其将 SparseTSF、FITS 这两个直接近邻纳入比较，优于只对比大型 Transformer 来显示轻量。分段因子化与频谱压缩的组合可以带来有用的精度和参数折中，但这些操作分别是成熟工具，论文所谓“谱时分解原理”没有给出新的定理或可检验的普适条件。\n\n主要数值支持的是轻量竞争力，而非统一最优。表五中 ETTh1 四个预测长度均较好，Exchange 的中长预测也超过 SparseTSF；不过 Electricity 和 Traffic 的多数预测长度不及 SparseTSF，ETTh2 多项落后 FITS，Weather 的四项也没有领先。因此相对某一个对手最高百分之十六点二的改进不能当作总体优势。主文说八个数据集，附表又多出 Weather，应补齐其数据配置。主表主要用相对百分比展示其他模型，附表给原始误差是必要补充，但两处并非全部一致：例如 ETTh1 的九十六步 DLinear，表一给相对 SparseTSF 负百分之十一，按零点三六二反推约零点四零二，而表五是零点三八四。这不是普通四舍五入能解释的差别，需要标明来源或配置变化。\n\n基线公平性不能由“统一七百二十输入长度”一项确认。附录明确说基线结果来自 FITS 第一版，但未逐项分清哪些精度数字直接引用、哪些重新训练，SparseTSF 等更新方法的来源如何衔接；自身又有分段长度、谱秩及降采样率的搜索。没有统一调参预算、数据切分边界和测试末批处理的核验记录，比较应保留折扣。本文正文与附录未定位随机种子次数、标准差或重复时延的分布。很多改进只有千分之一量级，单点均值不足以区分稳定优势与训练波动。\n\n技术书写存在妨碍复现的实质问题，不只是措辞。正文把频谱变换矩阵定义为两个涉及完整降采样长度的复数矩阵，那么实参数数目应随完整长度乘谱秩增长，却在同页写成四倍分段长度乘谱秩，两个长度未建立等价关系。附录又把编码和解码矩阵写成实数，引入正文未说明的低通截断，模型是否同一参数化不清楚。第十四页式六经视觉核对，第一矩阵写成根号补齐长度乘隐维，却直接左乘方形输入，通常维度不相容，应转置或重新定义。伪代码把原序列重排为降采样长度乘周期矩阵后，又直接重排成只含降采样长度元素的方阵，没有明确取样或聚合掉周期轴；非平方长度的填充与任意输出长度的裁剪也未交代。可修正的形状错误不证明实际代码运行失败，但按现有论文无法唯一还原声称的极小模型。\n\n相关理论解释也应降级。两个线性层组合仍是线性映射，引用通用逼近定理不能证明其保留任意表达能力；文中反复称“正交”，却没有正交约束或相应性质。对于不额外限制的完整频谱低秩线性算子，傅里叶换基本身不创造更低的算子秩。要证明频域而非单纯低秩正则化是收益来源，需要同参数的时域低秩对照、不同截频策略和真实谱能量分析。把通道独立共享模型的稳定性解释为“跨通道信息补偿”也过强：共享训练样本确能改变估计，但这里没有显式通道交互的证据。二次复杂度降为线性或近线性应称多项式阶数降低，不是正文声称的指数级改进。\n\n现有消融确实有价值。六个数据集七百二十步比较去除时间支路、去除频谱支路和完整模型，完整模型误差均较小；频谱支路尤其帮助 Traffic，时间支路在 ETTh1 较强。分段长度、谱秩和降采样率的附录扫描也不是缺失。问题是删除支路同时减少参数与计算，未排除容量差异；仅凭谱秩增加后误差接近，就断言自然序列必然集中在少数频率，并不充分。降采样表还显示二十四的周期不是所有情况最好，压缩过强有代价。更值得保留的是这些可操作的超参经验，而非普遍机制结论。\n\n低资源主张必须拆开看。四十五至一百七十六个参数的报告很吸引人，但参数表、图和正文有明显数量口径冲突：同样七百二十设置的 FITS 在正文约一万零五百，表五约四万一千；图七纵轴标为千参数，MixLinear 柱却接近百万分之一数量级，不能对应一百七十六个参数。短预测长度时，表一 MixLinear 的乘加数还高于 SparseTSF，因此“所有场景最低”不成立。给出的 A100 推理时间支持该机器上的速度优势，但未交代批大小、预热、同步及重复统计，也没有边缘设备测量；使用八十吉字节显存显卡不表示模型最低需要它，同样也不能替代实际边端部署证明。频谱复数算子、卷积聚合和上下采样的统一计数尤其应给脚本。\n\n整体判断是：想法值得作为极简基线候选，消融和附录展示了真实工作量；然而数学形状、参数口径、跨表数据和过强论断的累积，明显降低了现版证据的可审核性。优先级应是先核对官方实现与每张表的配置映射，再谈极限参数的新纪录。本文未执行仓库或模型，不把可修复问题擅自升级为造假，也不把尚未验证的实现当作已复现。",
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    "全部判断针对arXiv v2；未逐字比对ICLR终稿。",
    "未执行代码，矩阵维度和伪代码问题不能证明实现具有同一错误。",
    "未定位多种子、测试末批、时延同步及重复统计。",
    "公开代码链接 https://github.com/aitianma/MixLinear ，未验证当前提交。",
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