Based on the experimental results of the references [1] and [2], i. e., the contact resistance increases due to the contaminants formed on contact surface with the operating cycles,the physical model and math model of...Based on the experimental results of the references [1] and [2], i. e., the contact resistance increases due to the contaminants formed on contact surface with the operating cycles,the physical model and math model of contact failure on small current contacts under mechanical actions are proposed through deep theoretical analysis in this paper.展开更多
Currently, Granger-Geweke causality models have been widely applied to investigate the dynamic direction relationships among brain regions. In a previous study, we have found that the right hand finger-tapping task ca...Currently, Granger-Geweke causality models have been widely applied to investigate the dynamic direction relationships among brain regions. In a previous study, we have found that the right hand finger-tapping task can produce relatively reliable brain response. As an extension of our previous study, we developed an algorithm based on the classical Granger- Geweke causality model to further investigate the effective connectivity of three brain regions (left primary motor cortex (M1), supplementary motor area (SMA) and right cerebellum) that showed the most robust brain activations. Our computational results not only confirm the strong linear feedback among SMA, M1 and right cerebellum, but also demonstrate that M1 is the hub of these three regions indicated by the anatomy research. Moreover, the model predicts the high intermediate node density existing in the area between SMA and M1, which will stimulate the imaging experimentalists to carry out new experiments to validate this postulation.展开更多
尽管使用思维链(chain of thought,CoT)的大模型(large language model,LLM)在单未知数的数学问题求解(math word problem,MWP)任务上取得了显著成果。但是,目前的研究缺乏适用于方程数学问题的方法。由于数学问题求解对推理步骤具有很...尽管使用思维链(chain of thought,CoT)的大模型(large language model,LLM)在单未知数的数学问题求解(math word problem,MWP)任务上取得了显著成果。但是,目前的研究缺乏适用于方程数学问题的方法。由于数学问题求解对推理步骤具有很高的敏感性,列方程出错会导致后续步骤连环出错,所以提出一种渐近式验证纠正的方法2ERP,一边验证一边纠正步骤错误,输出最有可能的正确答案。在验证环节使用等式和答案的双重验证,回代答案到等式确保计算的正确,从数学表达式获取数值关系来验证等式的正确性。在纠正流程中,根据回代的结果和双重验证的一致性排除错误的推理路径,逼近正确结果。与其他CoT方法相比,2ERP方法在6个数据集上均取得了性能上的提升,平均准确率达到了66.2%,尤其是方程问题的数据集上,平均提高了6.9百分点。2ERP方法是一种设计提示的零样本方法,通过多次迭代提高数学问题的准确率,并输出具有详细步骤的求解过程,该方法在方程问题上的提升更加明显。展开更多
文摘Based on the experimental results of the references [1] and [2], i. e., the contact resistance increases due to the contaminants formed on contact surface with the operating cycles,the physical model and math model of contact failure on small current contacts under mechanical actions are proposed through deep theoretical analysis in this paper.
文摘Currently, Granger-Geweke causality models have been widely applied to investigate the dynamic direction relationships among brain regions. In a previous study, we have found that the right hand finger-tapping task can produce relatively reliable brain response. As an extension of our previous study, we developed an algorithm based on the classical Granger- Geweke causality model to further investigate the effective connectivity of three brain regions (left primary motor cortex (M1), supplementary motor area (SMA) and right cerebellum) that showed the most robust brain activations. Our computational results not only confirm the strong linear feedback among SMA, M1 and right cerebellum, but also demonstrate that M1 is the hub of these three regions indicated by the anatomy research. Moreover, the model predicts the high intermediate node density existing in the area between SMA and M1, which will stimulate the imaging experimentalists to carry out new experiments to validate this postulation.
文摘尽管使用思维链(chain of thought,CoT)的大模型(large language model,LLM)在单未知数的数学问题求解(math word problem,MWP)任务上取得了显著成果。但是,目前的研究缺乏适用于方程数学问题的方法。由于数学问题求解对推理步骤具有很高的敏感性,列方程出错会导致后续步骤连环出错,所以提出一种渐近式验证纠正的方法2ERP,一边验证一边纠正步骤错误,输出最有可能的正确答案。在验证环节使用等式和答案的双重验证,回代答案到等式确保计算的正确,从数学表达式获取数值关系来验证等式的正确性。在纠正流程中,根据回代的结果和双重验证的一致性排除错误的推理路径,逼近正确结果。与其他CoT方法相比,2ERP方法在6个数据集上均取得了性能上的提升,平均准确率达到了66.2%,尤其是方程问题的数据集上,平均提高了6.9百分点。2ERP方法是一种设计提示的零样本方法,通过多次迭代提高数学问题的准确率,并输出具有详细步骤的求解过程,该方法在方程问题上的提升更加明显。
