Two individual features achieved log-rank P values of 0.003 and P value <0.001 respectively in the validation data set. The other four individual features failed to stratify patients into high-risk and low-risk groups in the val- idation data set. The multi-feature signature was successful to predict the OS of patients in the validation data set and performed better than any individual feature. From the statistical perspective, nonsignificant association with survival does not mean less importance. On the other hand, multivariate model is statistically robust in survival analysis26. Moreover, the intra-tumor genetic heterogeneity suggests that tumor subregions could be genetically different and may comprise multiple subclones. This could be better reflected by multiple high-order deep fea- tures extracted from multi-subregions in multi-modalities rather than individual feature. Similar to the genomic studies of exploring biomarkers from high-throughput genomic data, it is also regarded as a common“-omics” approach to construct a multi-factor radiomics signature for outcome prediction. 解释

这段话介绍了一项研究，该研究使用了多个特征来预测患者的生存期，其中有两个特征在验证数据集中获得了显著的统计学结果，但其他四个特征则没有。然而，使用多个特征的组合可以更准确地预测患者的生存期，比单个特征更有效。此外，研究者指出，即使在单个特征的分析中没有发现显著的生存期关联，也不能说明该特征不重要。从统计学角度来看，使用多元模型可以更加稳健地进行生存分析。此外，肿瘤内部的遗传异质性意味着肿瘤不同部位的遗传信息可能不同，因此使用多种模态的多个高阶深度特征可以更好地反映肿瘤的内部异质性。与高通量基因组学研究探索生物标志物类似，构建多因素放射组学签名也是一种常见的“组学”方法，可用于预测患者的生存期。

相关问题

证明：Maximum data rate is affected by the bandwidth and signal-to-noise ratio of the channel.

The maximum data rate that can be transmitted through a communication channel is limited by the channel's bandwidth and signal-to-noise ratio (SNR). The bandwidth of a channel determines the maximum frequency of the signal that can be transmitted through it. The higher the bandwidth, the greater the maximum frequency of the signal and the faster data can be transmitted through the channel. On the other hand, the SNR of a channel is the ratio of the signal power to the noise power in the channel. The higher the SNR, the better the quality of the signal and the more data that can be transmitted through the channel without errors.

The maximum data rate that can be achieved through a channel is given by the Shannon-Hartley theorem, which states that the maximum data rate is equal to the bandwidth of the channel multiplied by the logarithm of the SNR plus one. This formula shows that increasing the bandwidth or the SNR of the channel will increase the maximum data rate that can be achieved. Therefore, the maximum data rate is affected by the bandwidth and SNR of the channel.

Maximum data rate is affected by the bandwidth and signal-to-noise ratio of the channel.

Yes, that's correct. The maximum data rate that can be achieved in a communication channel is affected by both the available bandwidth and the quality of the signal, as characterized by the signal-to-noise ratio (SNR). The bandwidth determines the range of frequencies that can be transmitted, while the SNR refers to the ratio of the signal power to the noise power in the channel. A higher SNR allows for better signal quality and thus a higher data rate, while a narrower bandwidth limits the range of frequencies that can be transmitted and thus also affects the data rate.