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Uncertainty: Overview
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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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Prediction Intervals
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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
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Uncertainty: Confidence Intervals
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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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Propagation of Uncertainty from Random Error
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Propagation of Uncertainty from Systematic Error
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Neural Regulation
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Digestion begins with a cephalic phase that prepares the digestive system to receive food. When our brain processes visual or olfactory information about food, it triggers impulses in the cranial nerves innervating the salivary glands and stomach to prepare for food.
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使用贝叶斯神经网络进行不确定性意识停车预测.
Alireza Nezhadettehad1, Arkady Zaslavsky1, Abdur Rakib2
1School of Information Technology, Deakin University, Melbourne, VIC 3125, Australia.
Sensors (Basel, Switzerland)
|September 19, 2025
概括
这项研究引入了贝叶斯神经网络 (BNN) 以实现更可靠的停车可用性预测. 这些不确定性意识模型显著提高了准确性,特别是在智能运输系统中有限或杂的数据的情况下.
科学领域:
- 智能运输系统 智能运输系统
- 机器学习 机器学习
- 不确定性定量化 不确定性定量化
背景情况:
- 预测停车场可用性对于减少城市拥堵至关重要.
- 像LSTM这样的传统深度学习模型缺乏不确定性量化,限制了现实世界的稳定性.
- 贝叶斯神经网络 (BNNs) 为模拟不确定性提供了一个有前途的方法.
研究的目的:
- 提出一个基于BNN的框架来预测停车位占用率,该框架模拟了认识体系和预测性不确定性.
- 通过整合上下文特征来提高停车预测的准确性和可靠性.
- 解决BNNs在停车预测中的不足利用问题,原因是计算复杂性和缺乏实时环境.
主要方法:
- 开发了一个贝叶斯神经网络 (BNN) 框架,用于预测停车位占用率.
- 整合了上下文特征 (时间,环境) 以改善不确定性意识的预测.
- 在数据稀缺性和合成噪音注入方面评估了框架.
主要成果:
- BNN 的表现优于传统方法,平均准确度提高了 27.4%.
- 在有限的 (10-90%数据) 和杂的数据中观察到一致的性能增长.
- 应用不确定性值 (20%,30%) 提高了决策可靠性.
结论:
- 模拟认识论和定量论的不确定性显著提高了智能运输系统的预测性能.
- 基于BNN的框架为预测停车可用性提供了强大的解决方案,即使数据有限.
- 不确定性意识的方法为智能交通中的未来混合神经符号推理提供了基础.
