Hammer of Technology

This is a proposition that he has considered for a long time, and it is also a problem that he plans to solve in the graduate to doctoral stages, because he can feel that he has a very strong research impulse for this proposition.

"Ok?"

Tian Yanzhen and Lu Dongyi exchanged glances, and Tian Yanzhen still asked: "Tell me carefully."

"Okay, Director Tian."

"You should know that in order to further develop our current big data mining and artificial intelligence propositions, there are actually many basic mathematical problems that need to be solved urgently. They can be roughly broken down into these small problems."

"First, the basic mathematical theory that specifically supports big data analysis has not yet been established. Now big data analysis and mining still use traditional statistics and analysis methods. As big data is getting more and more attention, these technologies are getting more and more For example, the remote migration of super-large data and the collaborative computing between supercomputers are still a worldwide problem.”

"Second, there is no big data basic algorithm for reconstruction of big data environment."

"Third, for artificial intelligence, it involves the regular transfer between two different distributions of data, that is, the learning problem of drawing inferences from one instance."

"Fourth, establish the theory of machine learning function space orientation. Machine learning at this stage is mainly about the selection and generalization of samples and data. selection and generalization."

"If it is specific to this project application proposition, you can choose the first category. Support the basic mathematical theory research of big data analysis."

Ning Wei's words made Tian Yan really speechless.

Because what Ning Wei said has proved that his desire to change his research direction is not a momentary enthusiasm, but a choice after careful consideration.And it is indeed in the context of the development of the current era.

To put it bluntly, artificial intelligence in this era still belongs to the era of weak artificial intelligence, and the processing of big data is actually at the initial stage.

Even in the most advanced so-called deep learning technology, how many elements are there in each layer, what nonlinear mechanism is used for each element, etc., all need to be preset manually in advance, even the famous AlphaGo .

Without the ability to understand by analogy, all artificial intelligence can only rely on extremely elementary data mining technology in the era of big data, and naturally no real strong artificial intelligence can be bred.

If Ning Wei can really solve this topic, it can indeed be regarded as the establishment of a sect.

It is equivalent to building a foundation and setting a standard for future research on artificial intelligence and big data computing technology.

If Ning Weizhen can make some achievements on this problem in four years, not to mention completely solving the whole big proposition, as long as he can choose one of the four sub-propositions he subdivided to completely solve, plus his progress in advancing the ns equation solution For the contribution given, and the achievement of proving the kls conjecture, the Fields Medal is also at your fingertips.

Even without those previous achievements, there is a high probability that there is no problem in winning a Fields Medal.

reason?

Heh, what is Kaipai Grandmaster?That is, all future research in this direction will need to use his research theory.

If the Fields Medal is not awarded to the founder of the faction, it is tantamount to directly denying the possibility of winning awards for all mathematicians who will continue to study in this faction in the future.

Because all future research results in this direction are based on the mathematical theory developed by Ning Wei. If you don’t award the best mathematician in the entire field, you will award awards to his disciples and grandchildren. What about the credibility of this award?

Ningwei's research on the ns equation and the solution he proposed can be said to have been created on the shoulders of predecessors.

But at this stage, there is indeed no basic mathematical theory that is specific to big data and has been proven to be effective.If it is really done, it will create another precedent in the field of mathematical subdivision.

It's just that there are two problems for Tian Yanzhen.

First, Ning is doing research for the sudden change of direction now, whether it can be done.

Second, Tian Yanzhen's current research direction has nothing to do with these, so in order to accept such a disciple, he has to change his future research direction?

Therefore, the office is quiet.

Eyes wide open, those standing beside him stare blankly.

"Hey……"

After a while, Tian Yanzhen sighed and asked, "Ning Wei, are you really so confident in yourself?"

Ning Wei nodded, with a sincere tone: "As I said just now, I really have some experience in this direction."

God has a little bit of experience.

Hearing these four words, Tian Yanzhen wanted to vomit blood.

"It's just a little bit of experience, why don't you pick what you are good at?" Lu Dongyi helped the boss to complain.

"My, to be honest, brother, I think my understanding of the ns equation is just a little experience." Ning Wei replied humbly.

There's nothing to talk about, Lu Dongyi has collected [-] mmp in his throat, but he decided not to say it, he hasn't said a bad word for a long time, and he can't relapse because of his junior brother.

"That's fine, since you have some experience, I will give you a year to prove that you really have some experience. I don't ask you to complete this small subject in one year, but at least you can show it." If you can't do it, how about you just continue to push the ns equation honestly in the remaining three years?" Tian Yanzhen finally decided to give in.

Even with his position, Ning Wei cannot be forced to continue research that he has no interest in.

Twisted melons are not sweet after all.

"Guaranteed to complete the task!" Ning Wei accepted Tian Yanzhen's proposal.

One year is enough time!

His brain reacts extremely strongly to this direction, which is enough to show that this direction is very clever.

"Okay, you guys go! By the way, you still need to check the materials carefully, and write in the new proposal report by the way. Remember to hand it to me before August NO.15. In addition, if you have any difficulties in life, just talk to you, Senior Brother Lu. Say. He can help you out."

"Thank you Director Tian."

"Oh, by the way, you still insist on taking the postgraduate entrance examination?"

"Well, don't worry, Director Tian. I'm fine. And before the postgraduate entrance examination, I can stay here for a long time to receive your guidance."

"Forget it, I dare not guide you! Go, go!"

------------

142 Senior Brother, Don't Do This!

Lu Dongyi was able to see how much the little junior brother he had been thinking about was capable of tossing around.

Before Ning Wei came, he always wanted him to come; but when he came, he found that this guy was not like the little junior who was always deflated in front of him.To be so tough in front of the instructor!

But from Ningwei's point of view, he must stick to his own ideas. Any theoretical breakthrough can bring him unexpected ability improvement in March. This is his most important task at present.

The awesomeness that was boasted in front of Yu Xingwei must be realized.

Not to mention that when he first became interested in artificial intelligence technology a year ago, the list of knowledge burst out of his brain in an instant had already become his obsession.If you have the opportunity to solve these problems, you must fight hard.

So what if you don't get the Fields Medal in four years?Anyway, he is still young, far from 40 years old, so it is meaningless to fight for the youngest one.

When these fall into Lu Dongyi's eyes, he can probably only sigh in his heart: Are young people nowadays so precocious?

No matter what, now that people are here, it is definitely impossible to drive people out.Of course, the main reluctance.

So he walked out of Tian Yanzhen's office and went downstairs. Lu Dongyi dutifully introduced to Ning Wei the people who were still busy in the research center.

……

The International Mathematics Research Center of Yanbei University sounds very modern, but it is actually a group of buildings composed of seven antique courtyards.The ground part has only two floors, but it undertakes the functions of teaching, learning and research integration, and at the same time integrates the functions of academic conferences and administrative offices.

As soon as Lu Dongyi led him out from Director Tian, ​​the first person he met made Ning Wei feel the low-key and luxurious interior of this quaint building.

"Professor Xu, let me introduce you. This is Ning Wei. Ning Wei, this is Professor Xu Changjie."

"Hello, Professor Xu!"

"Ning Wei, hello, hello, we have been close friends for a long time. Dao Tian has been looking forward to you, a direct Ph.D. student, for a long time."

"That's why I'm here." Ning Wei replied with a smile.

After a few pleasantries, Lu Dongyi began to introduce Professor Xu Changjie to Ning Wei for the honor: "Little brother, Professor Xu has a Ph.D. in Mathematics from Princeton, and his main research direction is algebraic geometry. He was also the Outstanding Young Scientist of the Qiushi Foundation in 2013." Award and the winner of the No.13 China Youth Science and Technology Award; in 2017, he won the $100 million prize of the Future Science Award-Mathematics and Computer Science Award.”

"Professor Xu won the Cole Algebra Award last year. He used to be the Changjiang Distinguished Professor of our school and is currently the Poincaré Chair Professor. The main achievement of Professor Xu is the development of the theory of the boundedness of general types of lical pairs, which proves that Shokurov's acc conjecture about the lical thresholds."

"Professor Xu also cooperated with Professor Heiken to develop the program of three-dimensional minimal model with positive characteristics, and made a worldwide breakthrough in the program of minimal model of logarithmic canonical singularity; the cooperation with Professor Li Chi proved that our director Tian The equivalence of the definition of k-stability proposed jointly with Professor Donaldson; and the cooperation with Professor Wang Xiaowei to solve the problem in the preface of "Theory of Geometric Invariants" about the non-existence of asymptotic week-stable compactification of canonical polarized clusters. Currently researching is the theory of dual complexes."

Ning Wei was a little dizzy.

It took Brother Lu more than two minutes just to introduce the achievements of this professor.

This was the first ordinary-looking man who was probably in his 30s that he met in the yard...

"Haha, Xiao Lu, don't blow me so high. When Ning Wei and I were the same age, I didn't dare to compare with him. You first let him familiarize himself with the environment, and I'll go to Director Tian to discuss something."

"Okay, Professor Xu, go get busy."

……

"Let me go, is any professor here so powerful?" Seeing Professor Xu walk into Director Tian's office, Ning Wei couldn't help asking.

"Although Professor Xu did work here before, strictly speaking, Professor Xu is no longer a professor here. He first went to MIT and now works as a teaching professor at Princeton. He came back this time to attend a conference. By the way, discuss some issues with Director Tian." Lu Dongyi explained.

"Oh! So it's a professor from Princeton, so he must know Lucasson Friend, right?"

Lu Dongyi: "...Let's go."

"Ning Wei, this is Professor Liu Changming, who is also my former mathematics teacher. He is one of the best world-class experts in the field of p-ary Hodge theory research."

"Hello, Professor Liu."

"Ning Wei, welcome, welcome, I heard that you came once before, but unfortunately I went out for a meeting and didn't meet. This time I will stay in the courtyard for a while, and we can discuss more when we have the opportunity."

"Okay, Professor Liu."

……

"Ning Wei, this is Professor Xiao Liang, who is currently the strongest professor in China in number theory and arithmetic geometry, and the organizer of the emerton-gee stack seminar. I used to listen to Professor Xiao's classes often."

"Student Ning Wei is really here? I thought you would choose Princeton or MIT. In fact, our place is also good. You have seen it. The environment is very good. It is warm in winter and cool in summer. You have the opportunity to communicate more. ah!"

"Hello, Professor Xiao, I will have to ask you questions in the future."

……

"Ning Wei, this is your current senior brother Zhou Pingyan, who is also Director Tian's Ph.D. His current research topic is to calculate the grnbner basis of the flag manifold Einstein's equations."

"Senior Brother Zhou, please take care of me."

"Hi Junior Brother Ning, to be honest, it's fine for others, why don't you take care of me?"

"Don't look at your senior brother Zhou who is very humble now. He was full of vigor when he first entered the courtyard. In the same year, Qiu Chengtong missed two goals in the competition, and he won the slam."

"Okay, Professor Lu, don't be fooled in front of my junior brother. I just hope that I can successfully graduate with a Ph.D.! I'm so miserable now, it's really worse than eating Coptis chinensis!" Zhou Pingyan said with a sad face .

Ning Wei was shocked!

There are many gold medal winners in Qiu Chengtong's competition, and the dignified Ph.D. of Peking University, who is so embarrassed by a doctoral dissertation?

How social is this yard?

However, Lu Dongyi didn't seem surprised, and asked casually: "Oh? What problems have you encountered recently?"

The thing that stunned Ningwei happened. Lu Dongyi's words, like a signal, immediately made Zhou Pingyan start the mathematical communication mode: "Yes, yes, Professor Lu, look, we want to define the flag manifold There is a one-to-one correspondence between the t-root of the m^c square and the complex irreducible ad(...) of the m^c square and the submodule mg, but now the commutative subspace of the complex conjugate map on the c square of the Lie algebra g cannot be proved to be unique Yes. You said it is difficult, my argument is stuck here again, no matter how I think about it, it is impossible to define any sub-algebra that satisfies the above requirements can be determined by the only invariant substructure on m.”

Lu Dongyi thought for a while, and said: "If the invariant Riemannian metric g of a g on m is defined to be equivalent to ad and ad(k) on m?"

Zhou Pingyan replied: "I have considered this, but we have to consider the invariant symmetry covariance on g/k, which will constitute an invariant symmetric bilinear form, which still cannot meet the above requirements, so the quotation Still can't be proven."

"Oh!" Lu Dongyi and Zhou Pingyan stared at each other, as if they had entered the state of enlightenment at the same time.

Rather annoying.

What is this for?

After you agreed to take him around the yard, how about going to arrange a place to work for yourself?

What's the matter with you two looking at each other affectionately here?

Fortunately, he can understand a little bit of what the two of them talked about just now...

The main reason is that after learning that Tian Dao is his future mentor, he studied Tian Dao's thesis for a period of time, so he is not unfamiliar with the field of their communication.

"Brother Zhou, why don't you consider setting the tangent space of the Lie algebra g and the Lie group g at the unit origin to be directly equal, and then use g on the projective map m to directly point to g/k, so that ad and ad on g and m ( k) Inevitable equivalence, thus inducing a unique linear mapping? Well, that, I don’t know if it’s right, but I just popped up an idea to discuss it with the two senior brothers.”

The two looked at Ning Wei at the same time.

Especially Zhou Pingyan, who was in a trance at first, then opened his eyes wider and wider, and then suddenly burst out with a hot light. The radiant light made Ning Wei feel a little scared, but before he could react, such a big man unexpectedly Opening his arms grandly, he hugged Ning Wei into his arms with lightning speed, and then slapped him on the back fiercely with both hands.

"Little brother, you are amazing, you are too awesome. I have been stuck on this problem for almost a week. I thought that if I couldn't figure it out, I would ask Director Tian to change the subject for me. I didn't expect it. You eat, eat the best meal! When the time comes, you can choose the full banquet! Your senior brother promises not to frown!"

After speaking boldly, Brother Zhou finally let go of Ning Wei, turned his head and trotted away. Yes, he ran away without a trace, leaving Ning Wei in shock and Lu Dongyi looking at each other.

Ning Wei felt that he had been hurt ten thousand and one point.

Obviously they all study mathematics, why is the strength of the senior brother so strong?

When being hugged tightly by Senior Brother Zhou, he felt as if he was firmly imprisoned by a strong man, and he couldn't break free at all!Really, hell!No wonder it was said that Yanbei University Mathematics College was the top four lunatic asylums in the school. On the first day, Senior Brother Zhou vividly proved to him that the rumors were true.

What's even more disgusting is, what the hell is going to invite you to dinner next time?Is it still full of seats?If you are sincere, can't you not do it today?

"Senior Brother Zhou, this is..."

"Don't pay attention to him. He often does this. The feeling of being stuck when writing a thesis can really drive people crazy. You should have experienced it too. As for you, have you ever studied Kahler geometry?" Lu Dongyi asked speechlessly road.