CN110717590A - Efficient multi-pulse algorithm based on single-exponential kernel and neural membrane potential states - Google Patents
Efficient multi-pulse algorithm based on single-exponential kernel and neural membrane potential states Download PDFInfo
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Abstract
The invention discloses an efficient multi-pulse learning algorithm based on single exponential kernel and neural membrane potential states, which mainly comprises the following steps: initializing neuron model parameters; inputting a pulse space-time pattern diagram; calculating V (t); learning and adjusting; and (5) verifying the model. The invention can greatly improve the information integration efficiency of the neuron. In the process of neuron learning, complex calculation and derivation equations are omitted, excellent cognitive processing performance is kept, and meanwhile, the method has extremely high running speed and ultralow energy consumption.
Description
Technical Field
The invention belongs to the field of brain-like computation and multi-pulse learning algorithms, particularly relates to a technology for improving the computation efficiency and the learning performance of a pulse neuron model, and particularly relates to an efficient multi-pulse algorithm based on a single exponential kernel and a neural membrane potential state.
Background
The central nervous system of the human brain uses impulses for information transmission and processing, and thus impulses are considered as one of the key reasons why the human brain has excellent cognitive ability and low energy consumption. Researchers have proposed impulse neural networks, also known as third generation artificial neural networks, based on the mechanisms of operation and operation of the human brain. The pulse neuron model combines the information of time dimension, processes the input pulse sequence, converts proper pulse output and has better biological rationality.
In order for a spiking neuron to efficiently process and learn inputs, a number of different network models and learning methods have been proposed. Recently, a multi-pulse neural network learning algorithm (mst) with powerful information processing and learning capabilities has been proposed. Inspired by multi-pulse networks, researchers have attempted to develop simpler, more efficient algorithms. Most of the existing algorithms can achieve good learning effect, but they are based on complex calculation and derivation equations, and their efficiency is far from the biological nervous system, and they do not meet the requirement of application
How to maintain excellent performance and keep ultra-low energy consumption remains one of the major bottlenecks of the present neural network. Meanwhile, the artificial intelligence system is also a main constraint condition for applying the artificial intelligence system to the mobile equipment and the wearable equipment.
Disclosure of Invention
The invention provides an efficient multi-pulse algorithm based on single-exponential kernel and neural membrane potential states. Compared with the prior algorithm, the method can greatly improve the information integration efficiency of the neuron, omits complicated calculation and derivation equations in the neuron learning process, and has extremely high operation speed and ultralow energy consumption while maintaining excellent cognitive processing performance.
The technical scheme of the invention is an efficient multi-pulse algorithm based on single exponential nucleus and neural membrane potential states, which comprises the following steps:
1) initializing neuron model parameters;
2) inputting a pulse space-time pattern diagram;
3) calculating V (t);
4) learning and adjusting;
5) and (5) verifying the model.
The single-exponential nuclear novel neuron model comprises the following components:
n and wiRepresenting the number of pre-synaptic neurons and corresponding synaptic weights,is the time at which the ith presynaptic neuron fires the jth pulse,representing the firing time of the jth pulse of the current neuron;
a threshold representing a neuron that emits a pulse when the membrane potential exceeds the threshold;
the above formula indicates that the neuron integrates synaptic current of afferent neuron, and in addition, the neuron model also includes reset dynamics, and when the neuron emits pulse, the neuron resets its membrane potential;
each afferent synaptic current has a persistent effect on the membrane potential of the current neuron, with the magnitude of the effect being given by the weight wiAnd kernel functionDetermining;
is a kernel function defined as:
here, τ represents a time constant of the membrane potential;
after the neuron integrates the input to obtain the trajectory v (t), the learning algorithm of the present invention can be used for adjustment learning.
The invention directly modifies the voltage close to the neuron threshold value based on the current neuron membrane potential state so as to change the number of output pulses, and the weight adjustment learning rule of the EMLC to the neuron is as follows:
wherein
noIs the actual number of pulse outputs, n, of the current neurondThe number of the pulse to be sent is obtained;is obtained by directly deriving the weight w by formula (1), and lambda is the learning step length;
tTLDrepresenting the time point of the minimum reset membrane potential after the neuron transmits the pulse and performs membrane potential reset on the neuron, if the current pulse number n of the neuron isoGreater than a desired number ndPerforming long-term LTD inhibition on the neuron according to the membrane potential at the moment; t is tTLPRepresenting the time point of the maximum membrane potential of the neuron less than the threshold value, if the current pulse number n of the neuronoLess than the desired number ndAnd performing long-term LTP enhancement on the neuron according to the membrane potential at the moment.
Advantageous effects
Compared with the prior algorithm, the method can greatly improve the information integration efficiency of the neuron, omits complicated calculation and derivation equations in the neuron learning process, and has extremely high operation speed and ultralow energy consumption while maintaining excellent cognitive processing performance. The invention is closer to the way of processing information by a biological nervous system, and also makes a certain contribution to the large-scale application of the artificial neural network to mobile and wearable equipment.
Drawings
FIG. 1 is a schematic diagram of the learning algorithm of the present invention.
FIG. 2 is a comparison of the operating time of the present invention with other learning algorithms, with the horizontal axis representing the number of pulses output by the neuron and the vertical axis representing the CPU learning time required for the number of pulses output by the neuron to be n _ out. The plotted data are from the average of 100 experiments.
FIG. 3 compares the accuracy of the present invention with other learning algorithms. Sub-graph a shows the accuracy of the algorithm under the influence of different degrees of jitter noise. And a graph B shows the accuracy of the algorithm under the influence of pulse loss noise of different degrees. The plotted data are from the average of 100 experiments.
Detailed Description
The use of the invention is explained in detail below with reference to the drawings.
(1) Initializing neuron model parameters
The invention needs to initially set the parameters of the neuron model, including the time constant tau of the membrane potential and the weight w of the neuroniAnd so on, before subsequent computing operations can be performed.
(2) Input pulse space-time pattern diagram
The use of the present invention requires the provision of a pulse spatio-temporal pattern map. In practical applications, it is generally necessary to encode the source input using a pulse encoding algorithm before subsequent operations can be performed with the present invention.
(3) Calculation V (t)
The input current is integrated according to equation (1) to calculate the membrane potential V (t).
(4) Learning adjustment
Due to the response V (t) of the neuron by the weight wiIt was determined that EMLC is required to adjust the weights of neurons to learn if neurons are expected to have different output responses to different inputs.
And (5) repeating the steps (3) and (4) until the expected pulse number is obtained.
(5) Model validation
In order to verify the efficiency and correctness of the present invention, the runtime of the present invention is compared with the runtime of other learning algorithms, as shown in fig. 2, and the experimental results show that the present invention can process the input very efficiently.
In addition, the recognition accuracy of the invention is compared with that of other learning algorithms, as shown in fig. 3, and the experimental result shows that the invention has stronger robustness and accuracy.
The present invention is based on the analysis of the leaky integrated discharge model, LEAKAGE INTEGRATE-AND-FIRE (LIF), because of its simplicity and ease of handling, making it the most common model of a pulsed neuron. The novel neuron model of the single-exponential nucleus used in the present invention is shown below.
N and wiRepresenting the number of pre-synaptic neurons and corresponding synaptic weights,is the time at which the ith presynaptic neuron fires the jth pulse,representing the firing time of the jth pulse of the current neuron.Representing a threshold of the neuron, which emits a pulse when the membrane potential exceeds the threshold. The above formula indicates that the neuron integrates synaptic current of afferent neuron, and in addition, the neuron model also includes reset dynamics, which resets its membrane potential after the neuron emits a pulse. Each afferent synaptic current has a persistent effect on the membrane potential of the current neuron, with the magnitude of the effect being given by the weight wiAnd kernel functionAnd (6) determining.Is a kernel function defined as:
here, τ represents a time constant of the membrane potential.
After the neuron integrates the input to obtain the trajectory v (t), the learning algorithm of the present invention can be used for adjustment learning. The basic idea of the learning algorithm in the present invention is to directly modify the voltage near the neuron threshold based on the current neuron membrane potential state to change the number of output pulses, which is herein named efficentilti-spikelearningredingoneneuron's neuron response (emlc). The weight adjustment learning rule of EMLC on neurons is as follows:
wherein:
nois the actual number of pulse outputs, n, of the current neurondIs the desired number of pulses to be delivered.Is obtained by directly deriving the weight w by formula (1), λ is the learning step length, t*An example refers to time. t is tTLDRepresenting the time point of the minimum reset membrane potential after the neuron transmits the pulse and performs membrane potential reset on the neuron. If the current pulse number n of the neuronoGreater than a desired number ndPerforming long-term inhibition (long-term suppression) (LTD) on the neuron according to the membrane potential at the moment; t is tTLPRepresenting the time point of the maximum membrane potential of the neuron less than the threshold value, if the current pulse number n of the neuronoLess than the desired number ndAnd performing long-term enhancement (LTP) on the neuron according to the membrane potential at the moment.
Claims (3)
1. The efficient multi-pulse algorithm based on the single exponential kernel and the neural membrane potential state is characterized by comprising the following steps of:
1) initializing neuron model parameters;
2) inputting a pulse space-time pattern diagram;
3) calculating V (t);
4) learning and adjusting;
5) and (5) verifying the model.
2. The efficient multi-pulse algorithm based on single-exponential nuclear and neural membrane potential states of claim 1, wherein the single-exponential nuclear novel neuron model is as follows:
n and wiRepresenting the number of pre-synaptic neurons and corresponding synaptic weights,is the time at which the ith presynaptic neuron fires the jth pulse,representing the firing time of the jth pulse of the current neuron;
θ represents a threshold of the neuron, the neuron emitting a pulse when the membrane potential exceeds the threshold;
the above formula indicates that the neuron integrates synaptic current of afferent neuron, and in addition, the neuron model also includes reset dynamics, and when the neuron emits pulse, the neuron resets its membrane potential;
each afferent synaptic current has a persistent effect on the membrane potential of the current neuron, with the magnitude of the effect being given by the weight wiAnd kernel functionDetermining;
is a kernel function defined as:
here, τ represents a time constant of the membrane potential;
after the neuron integrates the input to obtain the trajectory v (t), the learning algorithm of the present invention can be used for adjustment learning.
3. The high-efficiency multi-pulse algorithm based on single-exponential kernel and neural membrane potential states of claim 1, wherein based on the current neuron membrane potential state, the voltage close to the neuron threshold is directly modified to change the number of output pulses, and the weight adjustment learning rule of the EMLC for the neuron is as follows:
wherein
noIs the actual number of pulse outputs, n, of the current neurondThe number of the pulse to be sent is obtained;is obtained by directly deriving the weight w by formula (1), and lambda is the learning step length;
tTLDrepresenting the time point of the minimum reset membrane potential after the neuron transmits the pulse and performs membrane potential reset on the neuron, if the current pulse number n of the neuron isoGreater than a desired number ndThen, the nerve is aligned according to the membrane potential at the momentPerforming long-term LTD inhibition; t is tTLPRepresenting the time point of the maximum membrane potential of the neuron less than the threshold value, if the current pulse number n of the neuronoLess than the desired number ndAnd performing long-term LTP enhancement on the neuron according to the membrane potential at the moment.
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CN113627599A (en) * | 2021-06-22 | 2021-11-09 | 中国科学院深圳先进技术研究院 | Processing method and processing device for neuron signals and readable storage medium |
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WO2022267385A1 (en) * | 2021-06-22 | 2022-12-29 | 中国科学院深圳先进技术研究院 | Neuronal signal processing method and processing apparatus, and readable storage medium |
CN113627599B (en) * | 2021-06-22 | 2023-11-24 | 深圳微灵医疗科技有限公司 | Neuron signal processing method, processing device, and readable storage medium |
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