113 Come on, let number theory rule your fears
What is the experience of giving a 60-minute presentation in the Thousand People’s Lecture Hall of the world’s top conferences?
To put it without any pretentiousness, I really can't answer this question. If you answer it forcibly, you can only say one sentence, and it feels OK.
Because even though he had already started sitting on the rostrum, he could clearly see the rows of heads below, and even find Professor Chen who was sitting in the first row, Ms. Lucy, who could switch styles freely, was Yu Xingwei, the most familiar to him.
But his complete thoughts were still not at the meeting. The mathematical formulas that kept popping up in his mind directly turned the industry leaders and technical officials of top technology companies below into mathematical symbols.
How to say it?
When he had this feeling for the first time, he began to fight with the n-s equation and gave birth to the turbulence algorithm; when he felt this feeling for the second time, he began to study artificial intelligence, and would rather take the postgraduate entrance examination one year later than apply for the eDa project; and today, this is the third time.
It was as if something in his brain was guiding the direction he should move forward. When he encountered similar in-depth explanations, it would start, promote the secretion of dopamine, make him toss and turn, and make him unable to stop...
Or maybe his brain wants to do something or something big.
So nervous? It doesn't exist!
Which mathematician would be nervous when he saw thousands of mathematical symbols? Even if he was nervous, he was afraid that he would be unable to help but impulse to apply for a new project.
You should know that he had promised Lu Dongyi that he would also crawl into the School of Mathematics of Yanbei University next year to continue the research on number theory.
At this time, Ning Wei was just explaining the abstract that had been prepared in purely according to inertia. As for the questions these people would ask, it was not included in his consideration. He was not even lazy to extend the content on the PPT in the report to extend the reporting time and reduce the time for asking questions.
So the report that was originally planned to be completed in 40 minutes, and it turned to the last page of PPT in half an hour.
Of course, these trance emotions are basically unaware of by the people in the audience, because Ning Wei's language is still fluent, and the data references required are also opened and there is almost no lag.
So he finished talking so quickly, and he was the only one who unexpectedly...
"Well, well, the above is an overview of the design ideas and methods of the turbulence algorithm. Thank you everyone."
There was a burst of applause from the audience that suited the situation. It was not very warm, but more polite.
After all, a pioneering paper with at least one week or more is required to have a roughly outlined paper, which needs to be condensed into an abstract that will be reported in an hour and a half. In fact, there is no need to be too much internal information.
At least he cannot explain in detail the processing of each data iteration in the paper, the divergence and convergence of functions, the significance of each recursive judgment, screening and the correlation function or equation.
Ning Wei didn't know that among the thousands of people in the audience, many of them had carefully studied his paper, but what he could be sure was that if he had not done his homework in advance, read his paper three times and took notes, he would definitely not understand it.
So the applause did not touch him.
He just sat quietly in his seat, focusing his attention on the meeting, waiting for the big guys in the audience to ask questions.
It was similar to what he thought before. The two big guys who asked the first question focused on the content of spatial transformation ideas when algorithm iterated, which is also the most obscure and difficult part of the turbulence algorithm in the theoretical sense.
So Ning was prepared for a long time and took ten minutes to roughly explain the general idea and demonstrate a more detailed derivation process, especially the process of defining the limiter limiting higher-order terms as the space changes in the flow field parameters.
Then he saw the microphone on the stage being handed to the hands of Lucy Ron, a genius Harvard girl mentioned by Feng Shaojie.
"Hello, Mr. Ning, after listening to your report, I noticed that the latest experimental data you released in today's report is quite different from the experimental data in the original paper. It should be that there has been great progress in the latest testing stage. During the study of the paper, I roughly understand that the algorithm learning stage mainly relies on training sets, and the training set comes from high-quality measured data, not data simulation."
"So when studying the paper, I suspected that the reason why the laboratory error reporting rate described in the paper is maintained at a height that cannot be reduced for a very long time is the noise interference caused by random errors, which is the most difficult part of this type of problem. But in your report just now, I found that the error rate of algorithm false positives has been greatly reduced, so I would like to ask how this is done?"
Ning Wei looked at the solemn girl in the audience in surprise, probably understanding why Feng Shaojie wanted to say that she was Harvard's darling, obviously not because of her figure, but also because of her mind.
He hadn't entered the laboratory for a day, but he could only determine the reason why the error rate before the turbulence algorithm was high from his paper. This made Ning Wei no longer dare to underestimate the heroes of the world. This is the academic master who has cheated, with a proud figure and a smart mind.
After all, they spent every day in the laboratory to observe the data and had not found out the problem for nearly a month.
Just to answer this question...
"The solution to this problem is not universal. In fact, it is through deepening the understanding of the ns equation itself. Simply put, it is solved by setting high-level space limiting the data overflow. If you have to listen to the complete solution, I don't know... whether there is enough time." Ning Wei explained.
In fact, he wanted to say that he didn't know whether this girl could understand it, because the content in the field of pure numbers does not fall into the scope of special research by algorithm engineers. But saying this is too much hatred, so he would rather change his words temporarily.
It’s really not that he looked down on others, he just simply recalled the five-day discussion and debate with Lu Dongyi…
However, Lucy off the stage just smiled slightly and said relaxedly: "There are still twenty minutes left. I believe that with your ability, you can solve your doubts."
Ning Wei looked at Professor Shen in the audience and just smiled slightly, so he nodded helplessly and said, "Okay, then I need an electronic pen, thank you."
After saying that, Ning Wei directly removed the prepared PPT and created a new blank document, then took over the electronic pen sent by the business and started writing on the document.
Soon a string of formulas was written and displayed simultaneously on the big screen behind it. Ning Wei also officially began to explain: "Can you understand this measurable function? I won't explain it more if the time is limited. First, remember all the minimum values that meet the above function conditions as ∥f∥Lp(·)..."
Why is there a saying in the academic circle that the field of pure numbers is at the peak of the academic research contempt chain?
Because number theory is really high and low.
To be honest, the way that number theory researchers view the operation of the world is different from ordinary people.
Especially after modern number theory has subdivided the field, it is not something that ordinary people can touch. Because many times, those who study number theory at the same time may not be able to understand the ideas of their peers once they cross the border.
For algorithm engineers, mathematics is naturally extremely important, but the research of algorithms is to solve the real problems we are facing now. However, whether the research on number theory can solve real problems is not important, or even whether it can solve possible problems in the future is not important. The pleasure of its research is more inclined to philosophical discussion of the essence of the world.
Take the study of the ns equation for example. Can physicists study fluid mechanics without ns equations? The answer is obviously no.
The essence of physics lies in observation and experiments. One time, one time, a hundred times, the previous time, or even millions of experiments in different environments. Through observation and recording, various general laws under different fluid conditions can be summarized, and various formulas for different situations are derived.
In fact, modern physics does the same.
Of course, this does not mean that number theory has no practical significance at all.
At least various models established through number theory can reduce the workload of physicists.
The most important thing is that the process of solving problems and the mathematical methods used can often guide scientific research to a higher level.
Similar propositions such as the Goldbach conjecture.
So when Ning Wei turned the problem to the field of number theory that he is actually best at the moment, at least 90% of the people in the audience began to catch them...
It even reminds many people of the fear that was once dominated by number theory.
This is a computer algorithm conference. Are you here to talk about math problems with you?
...
Yes, I'm just talking about the topic.
At first, he would ask if everyone could understand it at a certain space conversion stage, but after he was immersed in the fun of reviewing and Lu Dongyi's thinking storm, he was too lazy to care whether the people in the audience understood what he said.
He was just asking questions and answering questions at an academic conference, and he was not giving a lecture. He really didn't need to take care of whether anyone could not understand.
In fact, when he began to explain from the direction of number theory, he was destined to go in a strange direction.
The big guys in the audience must remain calm and remain calm. After all, they will appear to be suppressed by a young man's IQ and have no face...
But there were already whispers in the back row.
At first I could hear someone consulting and discussing with people around me: "What is the connection between this step and the previous step? How to deduce it?"
Someone can answer: "If I didn't give the teacher what I learned before, it should be a temptation inequality."
But when Ning Wei began to discuss the problem of operator boundary in the frequency space, he could no longer hear any discussion, and countless people turned on the complaint mode.
"Brother, do you understand? What is he writing?"
"No, I'm reflecting on why I'm sitting here. Can you tell me? Why do we sit here?"
"Fake, is this a computer conference or a mathematician conference? Did that guy on the stage go on the wrong set?"
"No, maybe we traveled to Princeton, you know, there are the most lunatics there!"
"I'm here to attend the Computer Algorithm Conference, not to accept re-creation!"
"It is normal to be calm and not understand! People who can understand should not sit here."
"I finally understand why he has never seen a woman wearing a backless evening dress! He is not worthy! Really, such a person is only worthy of living with his left and right hands for the rest of his life!"
"What's this?"
"Don't you know yet? The story of that unfamiliar Chinese boy?"
...
As for the initiator of this situation, Lucy was completely stunned. In fact, she was not much better than the people in the back row. The process of being able to keep up and understand was probably limited to the first three steps of Ning Wei's deduction.
When more mathematical tools and theories were proposed, she also began to be confused.
Perhaps even if she was beaten to death, she didn't expect that the problem of thinking it was extremely difficult, but it caused a real dimensionality reduction blow and seemed to be a crush on IQ.
She tried very hard to digest the contents that Ning Wei wrote on the blackboard and explained, but it seemed useless. At this time, the content of the conversation between the tutor who was also the convener of the meeting and Professor Chen on the other side was intermittently transmitted into her ears.
"Shen, maybe we should invite a few friends from mathematicians in the field of pure numbers to sit in the array in the future... You know... There are probably few people on the scene who can give comments on his speech... It will be embarrassing... Or we should send him to Princeton to give a report..."
...
"To sum up, at this point, everyone should be very clear that we effectively converge globally in this way, and then bring this result into the algorithm, so that the interference from near errors can be effectively eliminated, the learning process of the algorithm isolates the noise interference brought by nearby data, and improves the accuracy of recognition."
"I don't know if you can fully understand these, but I think you should know that after all, I am just an undergraduate student, and my main learning direction is still in basic number theory. The design of turbulence algorithms is just an extension of new mathematical methods and tools in the process of deriving the ns equation. So it is really difficult for me to explain this problem from the perspective of purely designing algorithms."
"Of course, it doesn't matter if you don't understand it. I have written a paper about this and submitted it to the Journal of the American Mathematical Society for publication. You can understand it accordingly. Although the review has not been completed, I am confident that I can pass it. At least it will help me solve the actual problem."
"In addition, I have also put these data tools into a relatively alternative eDa software project that I am studying. When this project is completed, I hope I will have the opportunity to communicate with you. Thank you."
After making the final summary speech, Ning Wei looked at the time, which was exactly sixty minutes, and the time was perfect, and he didn't even urge the venue.
The only thing that embarrassed him was probably that the audience did not immediately sound like the speaker's curtain call, and it was most likely that it was out of politeness and respect, but there was still warm applause.
Instead, there was no sound.
Perhaps what everyone's thoughts at this moment were just... finally finished?
Until he stood up from his seat, someone finally started to applaud in the front row, sparse, but in the end more people reacted and the applause began to be enthusiastic. Well, of course, most people probably criticized while cursing in their hearts...
Chapter completed!