关于基于的损失对学习因果结构与持续优化的作用
IEEE transactions on neural networks and learning systems
|November 9, 2023
概括
这项研究通过提出一种新的基于的损失函数来解决因果发现的挑战. 这种方法提高了因果方向识别,特别是当噪声分布偏离标准高斯假设时.
科学领域:
- 因果推理和机器学习
- 统计建模和数据分析.
背景情况:
- 从观测数据中发现因果关系至关重要,但在科学学科中具有挑战性.
- 现有的方法通常依赖于最小平方损失,假设高斯噪声,这限制了适用性.
- 违反高斯噪声假设可能会妨碍准确的因果方向识别.
研究的目的:
- 从理论上分析非高斯噪声对因果发现的影响.
- 为因果结构学习提出一个更一般,更强大的损失函数.
- 为了提高因果方向识别,无论噪声分布.
主要方法:
- 在非高斯噪声假设下对因果导向的理论分析.
- 开发一种新的基于的损失函数,用于持续优化.
- 用于结构学习的定向非循环图 (DAG) 的代数表征.
主要成果:
- 证明非高斯噪声显著影响因果方向识别.
- 拟议的基于的损失在各种噪声分布中理论上是一致的.
- 经验评估显示,在结构上的性能优于击距离,FDR和TPR.
结论:
- 拟议的基于的损失函数为因果发现提供了更一般的解决方案.
- 这种方法克服了非高斯噪声下的最小平方损失的局限性.
- 该方法在合成和现实世界的数据上得到了验证,显示出强大的性能.
相关概念视频
Entropy Change in Reversible Processes
2.6K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.6K
Entropy and the Second Law of Thermodynamics
2.8K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.8K
Survival Tree
88
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
Building a Survival Tree
Constructing a...
Building a Survival Tree
Constructing a...
88
Purposive Learning
122
E. C. Tolman emphasized the purposiveness of behavior — the idea that much of our behavior is goal-directed. For instance, employees who aim for a promotion work diligently to meet their targets. Tolman argued that when classical conditioning and operant conditioning occur, the organism acquires certain expectations. In classical conditioning, a child might fear a dog because they expect it to bite. In operant conditioning, a person might consistently work overtime because they expect a...
122
Cognitive Learning
247
Cognitive learning is based on purposive behavior, incidental learning, and insight learning.
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
247
Reducing Line Loss
156
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
156


