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Talking about RBF Neural Network

2020/04/13 12:40

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brief introduction

Nowadays, the technology of artificial intelligence is advancing rapidly. As one of the widely spread algorithms, RBF neural network algorithm can quickly realize functions such as function approximation, data clustering, pattern classification, optimization calculation, etc. Its radial basis function neural network structure is widely used in the research of financial field. The algorithm structure is shown below:

RBF neural network is composed of three layers, The input layer to the hidden layer is a nonlinear spatial transformation, and the Gaussian function of the radial basis function is generally used for operation; The transformation from hidden layer to output layer is linear space transformation, that is, the transformation between matrices.

algorithm

When RBF neural network performs data operation, it needs to confirm the location of the cluster center point and the weight from the hidden layer to the output layer. Usually, K-means clustering algorithm or minimum orthogonal quadratic method is used to train a large number of data to obtain the cluster center matrix and weight matrix. In general, the location of the center point of the least orthogonal quadratic clustering is given, so it is more suitable for data with relatively regular distribution. The K-means clustering algorithm will independently select the cluster center and conduct unsupervised classification learning, thus completing the spatial mapping relationship. This paper gives a brief introduction to K-means clustering algorithm.

K-means clustering algorithm

1. Network initialization, randomly select h training samples as the cluster center ci.

2. Group the input training sample set according to the nearest neighbor rule, and assign xn to each cluster set of the input sample according to the Euclidean distance between xn and ci.

3. Readjust the cluster center, calculate the average value of training samples in each cluster set, and generate a new cluster center ci until the cluster center no longer changes. The obtained ci set is the base function center set, otherwise return to 2 iterations for solution.

4. Solve variance (Cmax is the maximum radial basis center distance in the set)

5. Calculate the set of weight W.

6. Find the output result set.

Python Implementation of RBF Neural Network

1. Import numpy and math libraries for algorithm construction.

2. Realize clustering center and weight algorithm:

3. Data training:

Data training

1. The training data input is in the form of matrix, as follows:

[param1 param2 ... paramN result]

N explanatory variables correspond to one explained variable.

2. When predicting output, the matrix form of input data is as follows:

[param1 param2 ... paramN]

The result set is generated by the algorithm.

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Francesca 2024-06-09 13:21

But the end of closed source must be open source, because many people who are dissatisfied with closed source have created open source, so the end of open source is not necessarily closed source, but to find a business model that is open source= Free Admission

osc_566335 2024-04-28 14:44

This is also called floor washing? Does it mean that Tesla will not wash the floor if it releases all the source code? Some people HWptds? That is to say, the language is ambiguous, which will also rise to the washing ground? Are some people too focused? Think the people he pays attention to must be staring at?

zzeric 2024-04-28 20:01

Although France is the parent community, the core developers of OCCT on github are all Russians. Without Russians, the French parent community cannot continue to operate. So Huawei took over, moved to China, changed its name and resumed open source and community operations. What's the problem?

Yeah, for 2024-05-17 13:42

That's too right. Old Zhou can't control Google, but he can control 360. Do not do to others what you do not want. All 360 products should be opened first.

Single structure 2024-05-11 10:09

Selected as Open Source China's disgrace pillar

generation

Code e person 2024-06-09 10:03

Prepare the next project and try it

Xiao Xu Middle aged 2024-06-10 07:05

Learn

Ma Nong Little Fatty Brother 2024-05-16 14:40

I give you six seconds. I give you six moves with the same effect in the martial arts contest, which shows the invincibility and confidence of the master

zoujiaqing 2024-06-07 21:22

I dare not use it

-SORA- 2024-04-30 17:07

When this happened in a foreign country, the comment area suddenly became very objective and rational**

kangert 2024-06-09 20:07

The problem of docker hub is very uncomfortable

zhy 2024-05-16 13:16

At the end of Shannon is Nong

brucepapa 2024-06-09 21:02

I also have several backaches... After a few days of exercise, it will be much better to focus on stretching the back muscles.

Wang Zheng 2024-06-08 09:46

You said, "All the tests are graduate students" and smiled. I don't know my level is low.

monkey_cici 2024-05-09 00:25

My I9 CPU, 64GB memory module and 3080Ti computer are inferior to the top configuration of 19999 on a tablet

CodeDoger 2024-05-02 20:48

35 It's too old to go to work and too early to retire at 60

Bright 2024-05-19 23:25

What a fool! I killed myself. How can people deal with me later.

pan3793 2024-06-07 22:26

Let AI give AI a score

Francesca 2024-06-10 16:19

Be ignorant. This thing has a long history. It is used for scientific computing and has high performance

Monkeys think of apes 2024-05-31 18:31

You can cheat your brother. Just don't cheat yourself

infoworld 2024-05-11 15:12

Universities should use open source free software instead of commercial ones. In this way, hands and feet will not be tied technically.

Small and beautiful software development 2024-06-08 23:03

It's mainly about waist training

One code Yma 2024-05-06 09:14

My technical article was moved by CSDN. Why didn't anyone step on the sewing machine? This kind of report is a joke to me. The monsters with background are fine, and the monsters without background fight to death

SnailJob 2024-06-09 09:13

Yes, please continue to follow Snail Job

yh2216 2024-06-09 13:15

Like c++

lyh97157268 2024-06-09 20:58

xiaoqibabby 2024-05-15 17:36

The bank is strongly required to be responsible for

Xiao Xu Middle aged 2024-06-08 10:12

First place in making money!! Money and treasures will be plentiful

Kevin586 2024-06-08 14:41

Dream is garbage, which can also be listed and refresh my cognition

zhangleijie 2024-06-08 10:08

pretty good

osc_92224065 2024-04-29 10:57

Long term oppressed outsourcing of state-owned enterprises

muwanqing123 2024-06-09 08:28

Bullshit authentication

MrChen89 2024-04-29 09:18

There are a group of people like this. I don't know what they have experienced. When it comes to HW, I can't say anything good, even if it's neutral

osc_27546117 2024-06-09 22:36

Learned electric programming and expected its progress

golyu 2024-06-10 14:45

If only this was the library of solidjs

Chief taxi captain 2024-05-17 11:17

I suggest that 360 open source all its products, and then become the leading enterprise in the domestic open source industry through open source, leading everyone to compete with foreign enterprises

kangert 2024-06-09 20:10

Really need to practice

Francesca 2024-05-19 18:00

Wine runs the Android emulator of Windows. Chrome OS is installed in the Android emulator. Linux environment is installed in chrome OS. Linux environment is installed in the Linux environment. Wine is installed in the Android emulator

yh2216 2024-06-09 23:03

I remember saying that one year C++was the language of the year,

sunday12345 2024-05-15 18:31

What does the bank do? It's blamed on the remote desktop. Persimmons really pick up soft pinches~?

Ding Yun H 2024-06-07 20:44

There is no querydsl. Since querydsl was used, I can't look at other forms anymore

oldpig 2024-04-28 09:59

”Huawei contributed all the source code "?, the title is completely inconsistent with the content.

zhuzhua 2024-05-21 10:08

I'm laughing to death. Those who have been deeply kidnapped dare not pay? Who will use the domestic open source framework of small companies in the future will be 213!!! Wait for harvesting later

abeet 2024-06-08 20:38

There are no pictures, for fear that we will learn, right

Happy LeapFrog 2024-05-18 09:18

But the question is: "What's the use of this for ordinary Android users?" Now the answer seems to be: "Almost nothing.".

One code Yma 2024-05-09 09:58

Recently, I often go to interviews. People who hate Ali background most regard me as a fool, even though I am a fool

Xiaoxia cat ball 2024-06-09 21:29

Very good, come on

H Fine water and long flow H 2024-06-10 09:39

I haven't heard about whether fartran has paid. I'm in the top ten

kakai 2024-05-10 10:21

The world only knows that Android was created by Google. Several people know that Android is only a product acquired by Google. Similarly, what is the problem with Huawei's contribution to the collection of OGG open source work and integration into its own proprietary product line?

Shuimu Yi'an 2024-05-20 09:58

The news should be read continuously. I'm waiting for the third news besides rustdesk and teamviewer. Localized remote desktop software is far ahead.

Li Yinghui 2024-05-09 16:40

Buddhism has a good word, evil opinion. In dealing with the world, it is meaningless to draw conclusions from preset positions; It is also important to receive good logic training.

Xiao_f 2024-06-07 22:59

One thing to say, compared with other domestic manufacturers, Qwen's relaxed licensing fully demonstrates the style of a large factory

GDWhisperer 2024-05-15 17:23

I transferred tens of thousands of yuan to my own account, which was under risk control. How did I do this? The bank should be responsible for this**

Qin Liming 2024-05-11 09:12

be devoid of any sense of shame

iVista 2024-06-10 18:13

I was blinded by the math test

Yoona520 2024-05-17 16:34

Zhou Hongyi is now living more and more like a clown. If he stays behind the scenes, he has to become an online celebrity. Can you learn from Lei Jun?

Ai East 2024-06-10 19:11

Absolutely easy to use

zoujiaqing 2024-06-07 21:21

Spring boot was not updated last year

Xiao Xu Middle aged 2024-06-08 12:43

Do AI functions need networking? Will it be 404?

gamedot 2024-05-17 11:14

Old Zhou is deeply concerned about Huawei's great cause of open source. He is not a Huawei person, but has Huawei's soul.

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