Xueba's life simulator

Chapter 105 Professors' Chat
Zhou Ming had just chatted with several other professors in the car before they arrived at their destination and were about to get off the car.

After getting off the car, Zhou Ming walked into a restaurant with the group. This was not a luxury hotel, but an ordinary local restaurant.

This local restaurant is located near the East Campus of the University of Science and Technology, so it’s no wonder that we can reach our destination so quickly.

Because they didn't order food in advance or reserve a private room, they first booked a private room after entering this local restaurant, and after ordering some dishes, they began to sit on the chairs in the private room and chat.

"Xiao Zhou, let me introduce these few to you in detail." Li Mingzhi said to Zhou Ming, and then began to introduce the other four to him.

"This is Professor Wang Wen from the Department of Mathematics. His main research direction is topological dynamical systems and ergodic theory..."

"This is Professor Zhou Wang from the Department of Mathematics. He mainly studies data-driven optimization modeling, sparse optimization, machine learning theory, macroeconomic big data modeling analysis, video intelligent analysis algorithms, etc...."

"These two are professors of the Department of Electronic Engineering and Information Science, School of Information Science and Technology, Department of Information and Intelligence. This is Professor Chen Wen. Professor Chen's research directions include mobile cloud media, mobile social media, cloud media content distribution, multimedia Security, mobile augmented reality, mobile virtual reality, mobile multimedia search, wireless sensor networks, machine learning..."

"This is Professor Chen Yun. Professor Chen Yun's research direction is medical artificial intelligence, natural human-computer interaction and mobile health monitoring..."

There were six people present, excluding Zhou Ming and Li Mingzhi who introduced Zhou Ming, there were four people in total, two from the Department of Mathematics and two from the Department of Electronic Engineering and Information Science.

"You all already know Zhou Ming's identity, so I won't introduce it. Before this dish is served, we can chat first. Before Xiao Zhou came, didn't you all say that you wanted to chat with Xiao Zhou about academics? Can we talk about it now?" Li Mingzhi said to the four professors after introducing the four present to Zhou Ming.

"Which one of us will speak first?" After Li Mingzhi finished speaking, everyone present did not speak for a while, they were all politely waiting for the others to speak first. Seeing that they were silent, Wang Wen prepared to ask first.

"Then let me talk first. Anyway, this afternoon is still long, and you have enough time after I finish talking." After Wang Wen said this to the other three, he said to Zhou Ming, "Professor Zhou , Dean Li also introduced our research direction to you just now. I mainly study topological dynamical systems and ergodic theory.

I remember that your first mathematical paper was A Dichotomy for the Weierstrass-type functions published in "Inventiones mathematicae", which mainly used the dichotomy of Weierstrass-type functions to study low-dimensional dynamical systems.

But why did you publish two papers on Laplacian eigenfunctions in "Annals of Mathematics" after you published that paper?Why didn't you continue to do research on low-dimensional dynamical systems?
In addition, I read your first paper very carefully, and I have always wanted to ask you about some of its contents. "

Topological dynamical system, also known as abstract dynamical system, refers to the dynamical system on the topological space and is a component of the dynamical system.

It usually includes flow, discrete dynamical system, semi-flow and discrete semi-dynamical system, mainly from the topological point of view to study the structure of the invariant set of the system and the properties of its orbit.

Ergodic theory is a branch of mathematics that studies the asymptotic behavior of test-preserving transformations.It originated from the "ergodic hypothesis" research that provides the basis for statistical mechanics, and is closely related to mathematical branches such as dynamical system theory, probability theory, information theory, functional analysis, and number theory.

Although Zhou Ming's first mathematical paper was a low-dimensional dynamical system, it was also a part of the dynamical system. In fact, the dynamical system theory is a development of the classical ordinary differential equation theory.

Wang Wen's research is indeed closely related to Zhou Ming's first paper, which is also the research and application of differential equations.

After listening to Wang Wen, Zhou Ming explained: "Actually, my main interest in mathematics now lies in deep learning, artificial intelligence and biological aspects, so I didn't involve much in low-dimensional dynamical systems after the first article. research on it.”

What Zhou Ming said was true. Although his first paper was indeed about low-dimensional dynamical systems, in fact his research on dynamical systems was not very in-depth.

After all, the reason why Zhou Ming started to study mathematics and computers in the previous simulations was to have a more in-depth study of biology through mathematics and computers.

"I don't know what questions Professor Wang wants to ask?" Zhou Ming asked again.

Zhou Ming was not surprised that Professor Wang said that he had some doubts about Zhou Ming's paper published in "New Advances in Mathematics". There are indeed some points in the paper that are not easy to understand. After all, there are several knowledge points that can be taken out and published in separate papers, but Zhou Ming just condensed it and wrote it.

"One problem is about the Hausdorff dimension of planar self-affine sets and metrics. The proof of this aspect is only using the results in your paper. Although you also wrote about the proof process, there are too many omissions. I It is estimated that someone has submitted a manuscript to verify your proof, but the journal has not published it yet.

The other is the proof of the graph dimension of the classic Wilstrass function in your paper. The problem is the same as the previous one, and the proof is also too short.

I re-proved the Hausdorff dimension of the fractal function graph behind you according to the method mentioned in your paper, and it is indeed the case. "

Wang Wen told Zhou Ming some of his problems.

"The proof of the Hausdorff dimension of the planar self-affine set and the metric is like this. Let X=UφiX be a strongly separated self-affine set in R2 or a self-affine set that satisfies the strong open set condition. In Under the assumption of weak non-compactness and irreducibility of the matrix part, it is proved that dim X of the matrix part of φi is equal to the affinity dimension, and similarly for the self-affine measure and the Lyapunov dimension...

The proof of the dimension of the classic Wilstrass function graph is to first set Wλb(x)=∑∞n=0λ^ng(b^nx), where b>2 is an integer...Here, Ledrappier is not used in "Measurement entropy of diffeomorphism Part II: the relationship between entropy, exponent and dimension" published in "Annals of Mathematics" in 1985 and the dimension of hyperbolic measure in Young's "dimensional formula of random transformation" published in 1988 theory, instead a simple scaling argument and recursive multiscale estimation. "

Zhou Ming began to explain to Wang Wen the questions he asked one by one.

After speaking, Zhou Ming picked up the teacup in front of him and took a sip of the water in it. This was poured by a professor from the Department of Electronic Engineering and Information Science for them when he was chatting with Wang Wen about mathematics. Also soaked in boiling water and washed aside.

Although computers involve some knowledge of mathematics, they specialize in technology, and their field of research is not the power system. They can understand some proprietary mathematical terms mentioned in the conversation between Zhou Ming and Wang Wen. But when Zhou Ming and Wang Wen talked about the specific proof and more detailed content, they couldn't quite understand it.

In fact, let alone a professor of computer science, it is Professor Zhou Wang who is also in the Department of Mathematics. His research direction is different from that of Wang Wen. Hearing what Zhou Ming said about the proof, he himself can prove it again now, but King Zhou can't.

After listening to Zhou Ming's explanation, Wang Wen stroked the beard under his chin with one hand, supported the elbow of the hand touching his chin with the other hand, and kept nodding while thinking.

"Yeah, yeah. That's right, that's it. No wonder I didn't figure it out before. It turned out to be like this." In the end, Wang Wen showed a face of sudden realization, and gave Zhou Ming a thumbs up. Compliments.

In Wang Wen's view, Zhou Ming has several knowledge points in the paper "Dichotomy of Weierstrass-type Functions" published in "New Advances in Mathematics" alone, and he can write several papers, and At least two of them can be published in the four major universities, but Zhou Ming directly gave a brief proof in the paper.

And now when Zhou Ming explained to Wang Wen what he didn't understand, what he said was extremely fluent, and it was easy for people to understand. How could this not make Wang Wen feel admirable.

"I don't have any problems now. However, there is another point that is not academic. It is purely my own curiosity. I want to ask Professor Zhou again." Wang Wen said again, "There are at least two new pieces of knowledge in your paper. The point is to write two papers that can be included in the four majors, and even if the other new proofs and conclusions cannot be published in the four majors, the ordinary ones will definitely be published, why didn't they write them specifically?"

Not only Wang Wen is curious about this point, but many mathematicians who have read Zhou Ming's paper and realized this are very curious. After all, publishing the Big Four can not only improve their status in academia, but also increase It can be said that my influence in the world of mathematics has many benefits.

When Wang Wen finished asking this question, Zhou Ming had just finished drinking the water in the water glass, and he explained indifferently: "Actually, I don't really care about how many four papers can be published, I just want this paper to be published sooner." Come out, after all, they review you and you know, if you follow the normal speed, I guess you must not have seen this paper by now."

Listening to the sentence before Zhou Ming's words, among the people present, not only Wang Wen, Zhou Wang, and Li Mingzhi from the Department of Mathematics were speechless, but even Chen Wen and Chen Yun from the Department of Electronic Engineering and Informatics also felt that Zhou Ming was pretending to be invisible. .

After all, although they have more or less published some papers in top journals in their respective fields, they don't care much about publishing papers in top journals in their own research fields, unless there are very few standing in the pyramid in this field. The existence of the top of the tower, otherwise they would not believe anyone who said this.

After Zhou Ming finished speaking, the scene became quiet. Seeing that no one was speaking, Zhou Wang said, "I also have some things that I would like to discuss with Professor Zhou."

"Dean Li also introduced me just now, but my research is more complicated. Maybe I introduced it once or twice. Professor Zhou hasn't clearly remembered my research direction. My research direction is data-driven optimization modeling and sparse optimization. , machine learning theory, macroeconomic big data modeling analysis, video intelligent analysis algorithm, etc.

I know that Professor Zhou Ming published a paper on artificial intelligence before, which caused quite a stir in the field of artificial intelligence research in China. Before that, Professor Chen Yun and Professor Chen Wen both told me about Professor Zhou's work.

So, I want to exchange some machine learning theory and mathematical modeling with Professor Zhou. " Zhou Wang and Zhou Ming expressed their thoughts.

Zhou Wang's question is different from Wang Wen's. Wang Wen raised some questions about Zhou Ming's thesis, while Zhou Wang is going to discuss some mathematical problems in modeling and machine learning theory with Zhou Ming.

"I have a little understanding of the mathematical application of machine learning theory, and I also know a little about mathematical modeling, but my understanding in this area is not very deep." After understanding the topic that King Zhou wanted to communicate with himself, Zhou Ming explained.

What is mathematical modeling?
Mathematical modeling is a practice of using mathematical methods to solve practical problems.

That is, through the process of abstraction, simplification, assumption, and introduction of variables, the actual problems are expressed mathematically, a mathematical model is established, and then advanced mathematical methods and computer technology are used to solve them.

Popular understanding is mathematics + modeling, that is, using statistics, linear algebra, integrals and other mathematical knowledge to construct mathematical models and solve problems through models.

And artificial intelligence?

Artificial intelligence is a technical science that researches and develops theories, methods, technologies and application systems for simulating, extending and expanding human intelligence.It is an attempt to understand the nature of intelligence and produce a new kind of intelligent machine that can respond in a manner similar to human intelligence.

Therefore, whether it is mathematical modeling or artificial intelligence, the core is an algorithm, and the ultimate goal is to better serve human beings and solve practical problems through some form.

Mathematical modeling thinking is required in the process of studying artificial intelligence, so mathematical modeling is very critical for artificial intelligence.

Logically speaking, those who study artificial intelligence should understand mathematical modeling. Zhou Ming does know some, but it is not in depth.

Because when artificial intelligence enters the post-primary artificial intelligence era in a few decades, artificial intelligence at that time will already have strong learning and self-correction capabilities. Artificial intelligence will already be able to collect relevant data and action conditions to automatically A mathematical model is established.

And Zhou Ming's research and understanding of mathematical modeling was only applied in neurobiology for a period of time before the advent of the post-primary artificial intelligence era.

"Professor Zhou's previous paper published in the "Journal of Intelligent Systems" mentioned an algorithm for training neural networks and performing other computing tasks. Does Professor Zhou already have a prototype of this algorithm? I Seeing that Professor Zhou mentioned in that paper what mathematical problems will be involved, and I feel that Professor Zhou did not explain everything?" King Zhou said to Zhou Ming.

"That's right, the discussion of that new algorithm in my paper involved a lot of mathematical problems, and that paper was not a special mathematical paper, so I didn't say it all. Moreover, even if I think about it , one paper is far from enough." Zhou Ming explained to King Zhou.

"What does Professor Zhou think about the future of machine learning and mathematical modeling? Do you think the two will be combined with each other in the future, or will artificial mathematical modeling gradually disappear in the future, and eventually all modeling problems will be solved by artificial intelligence? "The king of Zhou asked again.

"I think that at least in the next 20 years, machine learning and mathematical models should be complementary, and after fully combining the strengths of the two, interesting new models will definitely be produced.

However, if it continues to develop, with the continuous development of the field of artificial intelligence, the continuous advancement of technology, and the continuous improvement of artificial intelligence, I think that in the next 45 years, it may be five or sixty years later, it is possible that mathematical modeling will be completely controlled by done by artificial intelligence. "Facing King Zhou's inquiry, Zhou Ming also expressed his own opinion.

But the future that Zhou Ming mentioned, the four or fifty years he said is the future 50 years after the world without the influence of the life simulator.

With the influence of the life simulator on Zhou Ming, and Zhou Ming’s influence on the world, this kind of future is not the future after four or fifty years, it may be ten years later, or even four or five years, or one or two years later. .

After that, Zhou Ming and Zhou Wang chatted for a while. When Zhou Ming and Zhou Wang were almost done talking, the dishes they had just ordered began to be brought to the table by the waiter.

This is because they didn't make a reservation in advance and didn't order in advance before coming, so the food was served so slowly.

However, for Zhou Ming and the others, the serving of this dish was not slow. After all, whether they were chatting or listening to them chatting, their minds were all on the content of the conversation, so naturally they could not feel the passage of time.

"Does Xiao Zhou drink?" Seeing that the food was served, Li Mingzhi asked Zhou Ming again.

"Don't drink, don't drink." Zhou Ming quickly shook his head and waved his hands.

"It's best not to drink, and those of us don't drink too much. If you don't drink, then get some drinks. What do you all want to drink?" Seeing that Zhou Ming doesn't drink, Li Zhiming asked Zhou Ming and other professors again .

"You can order whatever you want, Sprite, Coke, orange juice, coconut juice, etc. Dean, please look at it." Wang Wendao.

"I can do it." Zhou Ming also said.

After that, Li Mingzhi looked at the two professors from the Department of Electronic Engineering and Information Science, and they also said that it was fine.

"Then let's have a bottle of orange juice and a bottle of coconut juice first, and I want the big ones." Seeing that they didn't have any special requirements, Li Zhizhi said to the waiter that he didn't order Sprite and Coke.

The waiter left the box and went to get drinks. Li Mingzhi also picked up the chopsticks and said to the other professors: "You all start to eat, and there will be more food in a while. Eat it for Xiao Zhou, this Jinling double smelly pot is delicious Yes, it is the treasure of this restaurant, you can try it. You have also studied in Jinling for three years, I don’t know if you have eaten the Jinling Shuangqi there, you can see if it is authentic.”

After Li Mingzhi finished speaking, Zhou Ming and the others also picked up their chopsticks and began to pick up vegetables.

The double smell in Jinling Double Smelly Pot refers to stinky tofu and fat intestines. Zhou Ming did eat it with his roommates when he was in Jinling before. The smell is really smelly, and the taste is really delicious.

Soon, the waiter who went to get the drinks came over with a large bottle of orange juice and a large bottle of coconut water.

Chen Wen was eating. When he saw the waiter coming with two bottles of drinks, he took them from her and put the coconut juice on the table first. He opened the orange juice, poured it for himself and his colleagues, and said to Zhou Ming : "Professor Chen Yun and I came to Professor Zhou this time, mainly to talk about some issues about artificial intelligence, but what we want to talk about is different from what Professor Zhou Wang talked about. We don't talk about machine learning theory, nor Let's talk about modeling. Mathematics is not our research field, and we don't know much about it, so we don't ask.

Professor Zhou's previous paper on "A Discussion on an Algorithm for Training Neural Networks and Performing Other Computing Tasks" in the "Journal of Intelligent Systems" really holds the lifeblood of artificial intelligence's views and future development directions.I would like to hear Professor Zhou's views on the future development of virtual reality. "

Hearing Chen Wen's praise for him, Zhou Ming was eating, so he also said to him modestly: "It's just a personal opinion, the future of artificial intelligence depends on the development of reality.

As for the development of virtual reality, I think the short-term future development will still mainly depend on [-]D real-time graphic display, [-]D positioning tracking, tactile and olfactory sensing technology, artificial intelligence technology, high-speed computing and parallel computing technology, and human behavior research, etc. The development of several key technologies.

Of course, one thing is very important, and that is information transmission, so at least we have to wait until 5G technology matures before there is any hope of development.

However, in the long run, the development of virtual reality technology still depends on the combination of neurobiology and computers, a brain-computer interface. "

Hearing what Zhou Ming said later about the unrealistic technology of brain-computer interface, Chen Wen didn't continue this topic, but said something about himself.

Brain-computer interface refers to the direct connection created between the human or animal brain and external devices to realize the exchange of information between the brain and the device.

In fact, this concept has been around for a long time, even after the 20s, there have been phased results, and now there are some applications in the real world.

But the reason why Chen Wen thinks that the brain-computer interface mentioned by Zhou Ming is an unrealistic technology is because what Zhou Ming said is to apply it to virtual reality. He really wants to realize the brain-computer interface technology in science fiction. Reality has become the second world of human beings, and the current technology alone is still far behind. At least biological technology, computer technology, and information transmission technology have to rise to a higher level.

Chen Wen felt that the long-term perspective that Zhou Ming mentioned was at least a hundred years.

A hundred years later, you and I will end up as lumps of loess, so we don't care about such a distant future.

"I followed the direction mentioned in Professor Zhou's paper and did a little research. I didn't expect to have a small result in just a few months. That's why I knew the significance of Professor Zhou's paper. It's bigger than I thought before, so I still want to ask..." Chen Wen successfully changed the subject.

It turned out that Chen Wen had already started researching a small point mentioned in Zhou Ming's previous paper on artificial intelligence, and had some research results. No wonder he came to Zhou Ming on purpose.

Looking at Chen Yun next to Chen Wen, Zhou Ming estimated that his situation should be the same as Chen Wen's.

In this way, these people chatted while eating, and they didn't have a good chat until after lunch.

These experts have made great achievements in their respective fields, with rich professional knowledge and a very solid foundation. Although Zhou Ming has decades of knowledge beyond this era, what he has is only a small part of the knowledge of the next few decades. , and his main research direction in previous simulations was also biology, so Zhou Ming didn't understand some of the knowledge points mentioned by these experts, and some couldn't understand them.

Zhou Ming also humbly asked for advice from those he didn't know how to do, and listened carefully to what they had to say.

　More than 6000 words, three in one, can be counted as one chapter plus updates. 4/9.

　　
　
(End of this chapter)