相关实验视频
Updated: Jan 11, 2026

13:19
Deep Neural Networks for Image-Based Dietary Assessment
Published on: March 13, 2021
9.9K
有效的学习规则作为自然梯度下降的规则
Lucas Shoji1, Kenta Suzuki2, Leo Kozachkov3,4
1Department of Physics and Department of Brain and Cognitive Sciences, MIT, Cambridge, MA 02139, USA lshoji@mit.edu.
Neural computation
|November 14, 2025
概括
有效的学习规则可以统一为自然梯度下降. 这一发现揭示了梯度是各种学习过程中的基本元素,对人工智能和神经科学有广泛的影响.
科学领域:
- 机器学习 机器学习
- 计算神经科学是一种神经科学.
- 控制理论 控制理论
背景情况:
- 学习规则旨在随着时间的推移优化绩效.
- 当前的学习规则是多样化的,经常是专门的.
- 缺乏一个统一的数学学习框架.
研究的目的:
- 为有效的学习规则建立一个一般的数学框架.
- 为了证明一大类学习规则是自然梯度下降的实例.
- 在学习中统一理解基于梯度的优化.
主要方法:
- 将学习规则表达为自然梯度下降.
- 定义不同学习环境的适当信息指标.
- 使用矩阵微积分分析参数更新.
主要成果:
- 一个广泛的类型的有效的学习规则被证明是自然梯度下降.
- 参数更新被证明是正确定义矩阵和损失梯度的乘积.
- 该框架适用于连续时间,离散时间,随机和更高阶的学习规则.
结论:
- 梯度是一个基本的对象,是所有学习过程的基础.
- 这项工作为理解学习提供了一个统一的理论框架.
- 这些发现对人工智能,控制系统和实验神经科学具有实际意义.
相关概念视频
Gradient and Del Operator
4.3K
In mathematics and physics, the gradient and del operator are fundamental concepts used to describe the behavior of functions and fields in space. The gradient is a mathematical operator that gives both the magnitude and direction of the maximum spatial rate of change. Consider a person standing on a mountain. The slope of the mountain at any given point is not defined unless it is quantified in a particular direction. For this reason, a "directional derivative" is defined, which is a vector...
4.3K
Regression Toward the Mean
6.8K
Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
6.8K
Observational Learning
804
Albert Bandura's observational learning, also known as imitation or modeling, occurs when a person observes and imitates another's behavior. It is a quicker process than operant conditioning. A well-known example is the Bobo doll study, where children who saw an adult acting aggressively towards the doll were more likely to act aggressively when left alone, compared to those who observed a nonaggressive adult. Many psychologists view observational learning as a form of latent learning...
804
Introduction to Learning
912
Learning is the process of acquiring knowledge or skills through practice or experience, leading to long-lasting behavioral changes. This acquisition occurs through interaction with the environment and requires practice or experience. For instance, mastering a skill such as surfing requires considerable practice and experience, highlighting the essential role of repeated interactions with the environment in learning.
In contrast to learned behaviors, unlearned behaviors such as crying, sexual...
In contrast to learned behaviors, unlearned behaviors such as crying, sexual...
912
Purposive Learning
428
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...
428
What is Natural Selection?
125.6K
Natural selection is an evolutionary process in which individuals with survival-promoting traits reproduce at higher rates. These favorable traits become more common within a population or species. Naturally selected traits initially arise via random genetic mutations. In order for selection to occur, there must be variation within a population, the trait controlling the variation must be heritable, and there must be an evolutionary advantage for variation in the trait.
125.6K
