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Copyright by Xiaofei Huang , Ph.D. of Tsinghua University, Beijing, China , HuangZeng@yahoo.com, 3/20/18
The Dark Secrets at the Heart of Current Artificial Intelligence
➢ MIT Technology Review in the issue of Nov./Dec. 2017 said, “No one really knows how most
advanced algorithms do what they do. That could be a problem.”
➢ Jeff Hinton is deeply suspicious about the current approach to machine learning and
thought that in his view to throw it all away and start again.
➢ Josh Tennenbaum at CNN2017 said, "All of these AI systems we see, none of them is ‘real’ AI".
➢ In Yann LeCun’s view, "The brain learns with an efficiency that none of our machine learning
methods can match".
The Essence of Learning is Generalization
Let 𝑝 𝑥 be the original probability density function and 𝑝+
(𝑥) be an approximation to it.
Let the entropy of the former be 𝐻(𝑝) and 𝐻(𝑝+
) for the latter. 𝑝+
(𝑥) is a generalization
to 𝑝 𝑥 if it is an underfitting function to the latter satisfying 𝐻(𝑝+
) ≥ 𝐻(𝑝) in any
subspace or the original space and the equality holds true if and only if 𝑝+
𝑥 = 𝑝(𝑥).
 Learning: The ultimate objective of learning is to use existing observations and
experiences to find a mapping from observables Y to another set of variables X and
a generalization 𝑝+
(𝑥) on X such that its degree of freedom 𝑯(𝒑+
) is minimized. That
is, the objective can be described as the following minimization problem:
𝐦𝐢𝐧
𝒀→𝑿, 𝒑+ 𝒙
𝑯(𝒑+
)
 Prediction: The model 𝑝+
(𝑥) can be used to make predictions on any subset of
variables 𝑋𝑗 given the observations 𝑝(𝑋𝑖) on another subset of variables 𝑋𝑖 by the
following generalized Bayesian law:
𝒑+
𝑿𝒋/𝒑(𝑿𝒊) = ෍
𝑿−𝑿 𝒋
𝒑+
𝒙 𝒑(𝑿𝒊)
σ 𝑿−𝑿 𝒊
𝒑+(𝒙)
This information-theoretic approach not only can unlock the mystery of human visual
perception and explain the great discovery of 𝑬 = 𝒎𝒄 𝟎
𝟐
, but also can lead to a new
discovery 𝑬 = 𝒎𝒄𝒄 𝟎 when gravity is presented. Here, 𝑐0 is the speed of light in free space
and 𝑐/𝑐0 is the time-dilation factor. Consequently, we have 𝒈 = −𝒄𝜵𝒄.

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Demystifying intelligence in one slide

  • 1. Copyright by Xiaofei Huang , Ph.D. of Tsinghua University, Beijing, China , HuangZeng@yahoo.com, 3/20/18 The Dark Secrets at the Heart of Current Artificial Intelligence ➢ MIT Technology Review in the issue of Nov./Dec. 2017 said, “No one really knows how most advanced algorithms do what they do. That could be a problem.” ➢ Jeff Hinton is deeply suspicious about the current approach to machine learning and thought that in his view to throw it all away and start again. ➢ Josh Tennenbaum at CNN2017 said, "All of these AI systems we see, none of them is ‘real’ AI". ➢ In Yann LeCun’s view, "The brain learns with an efficiency that none of our machine learning methods can match".
  • 2. The Essence of Learning is Generalization Let 𝑝 𝑥 be the original probability density function and 𝑝+ (𝑥) be an approximation to it. Let the entropy of the former be 𝐻(𝑝) and 𝐻(𝑝+ ) for the latter. 𝑝+ (𝑥) is a generalization to 𝑝 𝑥 if it is an underfitting function to the latter satisfying 𝐻(𝑝+ ) ≥ 𝐻(𝑝) in any subspace or the original space and the equality holds true if and only if 𝑝+ 𝑥 = 𝑝(𝑥).  Learning: The ultimate objective of learning is to use existing observations and experiences to find a mapping from observables Y to another set of variables X and a generalization 𝑝+ (𝑥) on X such that its degree of freedom 𝑯(𝒑+ ) is minimized. That is, the objective can be described as the following minimization problem: 𝐦𝐢𝐧 𝒀→𝑿, 𝒑+ 𝒙 𝑯(𝒑+ )  Prediction: The model 𝑝+ (𝑥) can be used to make predictions on any subset of variables 𝑋𝑗 given the observations 𝑝(𝑋𝑖) on another subset of variables 𝑋𝑖 by the following generalized Bayesian law: 𝒑+ 𝑿𝒋/𝒑(𝑿𝒊) = ෍ 𝑿−𝑿 𝒋 𝒑+ 𝒙 𝒑(𝑿𝒊) σ 𝑿−𝑿 𝒊 𝒑+(𝒙) This information-theoretic approach not only can unlock the mystery of human visual perception and explain the great discovery of 𝑬 = 𝒎𝒄 𝟎 𝟐 , but also can lead to a new discovery 𝑬 = 𝒎𝒄𝒄 𝟎 when gravity is presented. Here, 𝑐0 is the speed of light in free space and 𝑐/𝑐0 is the time-dilation factor. Consequently, we have 𝒈 = −𝒄𝜵𝒄.