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Reasoning algorithm based on importance sampling and neural circuit

An importance sampling and circuit technology, applied in the field of human brain science, can solve the problems of small scale, not in line with the efficient working principle of the human brain, and the circuit has no universality, and achieves the effect of good universality.

Active Publication Date: 2015-12-30
TSINGHUA UNIV
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  • Abstract
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  • Application Information

AI Technical Summary

Problems solved by technology

However, there are two problems in the current research: first, the scale is small, and the neural circuit implementation of simple problems is mainly studied. In fact, the problems encountered in daily life are extremely complex; second, it is task-based, and the current research is aimed at different Different neural circuits are designed by reasoning. The circuits are not universal and do not conform to the efficient working principle of the human brain.

Method used

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  • Reasoning algorithm based on importance sampling and neural circuit
  • Reasoning algorithm based on importance sampling and neural circuit
  • Reasoning algorithm based on importance sampling and neural circuit

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Embodiment 1

[0047] Such as image 3 The shown Bayesian network first decomposes the Bayesian network into a basic tree-shaped Bayesian network. This basic network consists of a top-level parent node and several child nodes. The decomposed results are as follows Figure 4 shown.

[0048]Further, probabilistic reasoning is carried out on the lowest layer structure, and the reasoning result is:

[0049] Σ C 1 , C 2 P ( B 1 | C 1 ...

Embodiment 2

[0068] This embodiment is a neural circuit corresponding to the inference algorithm based on importance sampling described in Embodiment 1. combine Image 6 As shown, in this embodiment, the neural circuit includes an input layer, an intermediate layer and a decision layer. Among them, the input layer codes the probability of external stimuli (observations), the middle layer calculates the probability linearly, and the decision-making layer determines the result of reasoning.

[0069] More specifically, each Poisson neuron in the input layer codes the external stimulus (observation) information probabilistically, and the output response of the Poisson neuron is:

[0070] r = {r 1 ,r 2 ,...,r N},

[0071] The probability distribution for the response r is:

[0072] P ( r | S ) = Π i e ...

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Abstract

The invention provides a reasoning algorithm based on importance sampling and a neural circuit. The algorithm comprises the following steps that a Bayesian network corresponding to a Bayesian brain model to be reasoned is decomposed into a tree-like Bayesian network, wherein the tree-like Bayesian network comprises a highest layer father node and a plurality of son nodes; probabilistic reasoning is performed on the multiple son nodes of the tree-like Bayesian network sequentially from bottom to top, and a plurality of obtained reasoning results are uploaded layer by layer; according to the multiple reasoning results, the posterior probability of the highest layer father node is obtained, and a reasoning result of the Bayesian brain model to be reasoned is obtained according to the posterior probability of the highest layer father node. According to the reasoning algorithm, any Bayesian brain model can be reasoned, and the good universality is achieved.

Description

technical field [0001] The invention relates to the technical field of human brain science, in particular to a reasoning algorithm and neural circuit based on importance sampling. Background technique [0002] Many psychological and physiological experiments have shown that the cognitive process of the human brain is a probabilistic reasoning process, and the human brain can accept information representing uncertainty and process them. From a macro perspective, the Bayesian brain model can explain how the human brain perceives the world, and has been successfully applied to many aspects of cognitive science and human brain science, such as perception, cognition, sensory control and decision-making. But from a microscopic point of view, it is not clear how the neurons in the human brain perform Bayesian inference. [0003] At present, there have been some related research work. According to different methods of expressing probability, it can be divided into probability codin...

Claims

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Application Information

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IPC IPC(8): G06N5/04G06N3/02
Inventor 陈峰余肇飞
Owner TSINGHUA UNIV
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