"How does the group theory approach differ in efficiency, accuracy, and scope of application compared to other causal decoupling techniques, such as, statistical-based methods?"

"Ladies and gentlemen, I will answer this question."

Chen Yiwen stood up, and Lang Lang said: "Our technology is to identify and decouple causal relationships by using the properties of symmetry and groups. This approach can more effectively reveal the structure and dynamic relationships between variables when dealing with causal inference of complex systems......

Statistical-based methods, such as regression analysis, Bayesian networks, or machine learning models, focus on inferring causal effects from data distribution and statistical relationships. These methods often rely on large amounts of data and may require additional assumptions when confounding or hiding variables.

Group theoretic causal decoupling may theoretically provide a more intuitive and mathematically rigorous way to understand causality, especially in highly structured systems. Compared with traditional statistical methods, it requires less computing resources and time.

In fact, after continuous testing, this technology not only improves efficiency, but also provides more accurate causal decoupling because it can take advantage of the symmetrical nature of the system, which is especially important in complex systems. It is especially useful for those scenarios where there is a clear mathematical structure or physical law......"

……

At the review meeting of the National Science Progress Award, Chen Yiwen was standing there with his head held high and talking.

Qiao Ze, Su Mucheng, Tan Jingrong, and Li Jiangao sat quietly next to them and listened to Chen Yiwen's play.

Qiao Ze was too lazy to answer this kind of question, Su Mucheng and Li Jiangao were not interested in being in the limelight on this occasion, Tan Jingrong was introverted, and he was usually very busy, so he didn't have time to memorize the standard answers that had already been prepared by Doudou, so this important task was handed over to Chen Yiwen.

That's right, the content of the current answer was memorized by Chen Yiwen for three days, and he memorized it very skillfully, which can be described as reciting it backwards.

Before the start of the meeting, Doudou prepared a PPT for the report, and prepared 27 questions for this topic, and also met the most standard answers, as long as the thousands of words are memorized, there is basically no problem in dealing with this kind of meeting.

If you really encounter the questions of the math of those details asked by the reviewers, there is Qiao Ze in charge. But according to Doudou's analysis, there is a high probability that this part of the content will not be asked. Because the crowd intelligence system has been verified by the market.

Promising related products have been sold out, and Doudou is the crystallization of the world's strongest artificial intelligence technology. If you really want to ask those super difficult technical details to embarrass people, it is that the judges have a problem with their IQ.

But apparently this is a false proposition.

At least when there is no conflict of interests, the IQ of the experts who can sit on the rostrum today is definitely much higher than the average.

Even if there is a conflict of interests, with Qiao Ze's current prestige in the academic world, at this time, he will not be embarrassed by this project member unless he has a brain draw. In particular, the José Natural Science Prize was born......

A prize in the natural sciences named after a top mathematician who is still alive, and who is in his twenties, not even yet of marriageable age......

Yes, Professor Qiao Ze planned to marry his son, but when he went through the formalities, he found out that he was not old enough, and it had already been spread, and many people couldn't help but smile when they heard this gossip, but they couldn't laugh when they laughed.

To be honest, most people will deliberately ignore Qiao Ze's age.

A distinguished scientist of the Institute of Mathematics, a researcher-level researcher, a member of the expert database of the Natural Science Foundation, one of the chief scientists of the 893 Program, a candidate for the National Key Natural Science Award, the pioneer of Joe's algebraic geometry theory, the commander-in-chief of strong artificial intelligence design, the founder of the theory of Huaxia's self-developed lithography factory project, and the commander-in-chief of the unmanned deep-sea group system, solved the Yang-Mills conjecture and the mathematical genius of Gechai.

Not to mention that this person who also controlled the material model and discovered new elements won the Cafford Mathematics Prize, but has clearly given up receiving the award......

The big guy with this series of names wanted to get married, but it was found that he couldn't get a marriage certificate because he was under age, which really made a group of experts laugh and laugh and cry.

After all, if they were replaced, if they could complete any of the above achievements before the age of thirty, they would basically be able to boast for a lifetime. But not only is it all done, but he is not yet 22 years old this year.

There are always a lot of cattle in the population base of China, but to this extent, there is probably only one such thing in the five thousand years of cattle that cannot be imitated.

After Qiao Ze came up with the Crowd Intelligence Project, the entire genealogy of the family had already been investigated. In the end, I came to a conclusion that this is probably a bit ruthless due to genetic mutations. And mutations are concentrated in the brain to have this result.

After all, Qiao Ze's parents are not highly educated. Even in these years, it can be described as a low level of education.

The final conclusion can only be that talent is unreasonable, and God bless Huaxia.

So at this time, the situation at the defense scene was that Chen Yiwen was standing there, talking with his head held high, but the eyes of the experts on the stage were actually focused on Qiao Ze and Su Mucheng beside him, Qiao Ze looked at the front with a blank look, not knowing what was going on in his head, and Su Mucheng held his head and looked at Chen Yiwen beside him to answer questions.

As for Li Jiangao and Tan Jingrong, it is probably the whole paddling.

Of course, when two people need to express their opinions, it's still no problem.

In fact, Tan Jingrong is still very excited, but he has already been excited.

Mainly I learned from Li Jiangao early that the group intelligence project will definitely win the award, and today's defense process is just a formality......

Yes, people are always like this, when the goal of pursuit has not been obtained, they will be very excited, even hesitant, once they get it, they will feel that it is nothing more than that, or even boring.

Especially for Tan Jingrong, he has decided to accept the offer of Youwei Group, the contract has been signed, and after taking the graduation certificate, he will go directly to Youwei's Intelligence Research Institute in Xilin to report.

It's not that he doesn't want to stay in Xilin Institute of Mathematics, this period of scientific research experience has made him realize that the path of scientific research is not too suitable for him, and if the talent is not enough in the future, it will be very tiring to stay in the Institute of Mathematics, so it is better to be an engineer.

This is not a high requirement for talent, as long as you are diligent, you can always contribute. Not to mention that he is still a student of Li Jiangao, and he has a good relationship with many people in the Xilin Institute of Mathematics. It can be regarded as having a strong backing.

……

Finally, Chen Yiwen's speech was finished, and he was still a little unsatisfied, but applause had already sounded on the rostrum.

In fact, for the review experts sitting on the rostrum, it is also hoped that it is best not to be the keynote speaker of Qiao Ze, so the project team is in the limelight by Chen Yiwen, and everyone is actually quite satisfied.

In fact, Li Jiangao was specially invited to participate in the review meeting, just because he was afraid of any problems.

Generally speaking, this kind of meeting is a nervous meeting of the research group members who sit in the audience and are being reviewed.

But about Qiao Ze's project, the experts on the rostrum who asked questions were actually quite nervous.

In case a question was asked incorrectly, it made Qiao Ze feel uncomfortable, stood up and asked a few words, and it was really sad to be asked.

It just so happens that this piece of Qiao Ze has a criminal record.

Robert Stephen once asked a stupid question in the question session of Joze's doctoral dissertation defense organization, and Joze's extremely faceless attitude made this well-known scholar in the field of mathematics even a leading figure, and until now he has not publicly attended any events in the field of mathematics.

It is said that even the Spring Meeting of Mathematics held by the American Academy of Sciences directly refused to participate, and stayed in the back hill of Berkeley every day without knowing what to study.

In the same way, Li Jiangao's task today is actually that in case the review experts on the machine ask any questions that are not quite in line with Qiao Ze's thoughts, and Qiao Ze's reaction is not quite right, he can stand up and play a round and give the expert jury a step down......

So today's experts are actually quite difficult.

The problem can't be too untechnical, otherwise it will be looked down upon, and it can't be too deep, for fear that the on-site discussion will be too in-depth and what will go wrong, even if there is Li Jiangao as an insurance, but it is naturally the best to not need this horse.

After all, this kind of meeting is now recorded by video throughout the whole process, and it is still kept for a long time.

Fortunately, today's situation is good, Qiao Ze basically didn't speak much, the questions designed before the meeting were decent, and the young man who was in charge of explaining and answering the questions was also very good, so after Chen Yiwen answered the fifth question, everyone was relieved.

The process is finally over, and the next research group is the next group, which also means that it is good to be able to return to the rhythm that everyone is familiar with.

After standing up step by step, saluting the judges, he walked out of the conference room, and the morning's task was completed.

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In the afternoon, Qiao Ze also had to participate in a review on material models, and Chen Yiwen and Tan Jingrong were not used. It's simpler, though, because Jozer decides to bring Doudou to attend. All questions are answered by Doudou.

Although this is quite outrageous, the good news is that the report submitted has been adopted.

Actually, it's quite reasonable to think about it.

As we all know, the database of the material model is controlled by Doudou, so Doudou can speak more clearly.

So after completing the defense in the morning, Li Jiangao was stopped by several friends who were already waiting outside the door as soon as he went out.

Although Li Jiangao has always been low-key, he still has a lot of friends in major universities and research institutes across the country.

The conference was decided to be held in Xilin, but not only the experts came to Xilin, but also the professors of those research groups came to Xilin. The invitation by phone or WeChat was politely rejected by Li Jiangao, and the news that Li Jiangao was going to attend the meeting leaked out early.

Grabbing a meal together is naturally the way it should be.

As for José......

The most you can do is say hello.

It's not that I don't want to have a deep friendship, but everyone knows that Qiao Ze is not good at talking about this. Especially if you don't talk when you eat, you don't give face to anyone, and this habit is extremely explosive even in the academic world.

Second, it is not only the students of Xilin University of Technology who received the notice early, but they should pay attention to their words and deeds and show a positive attitude these days. The professors and researchers who came to Xilin University of Technology for a meeting also held a meeting, and the key points were summed up in one sentence, if you go to have nothing to worry about Qiao Ze, if you cause something, you may not be able to bear the responsibility.

Well, there are precedents too.

So for Qiao Ze, everyone still has a respectful attitude, and it is almost the same to befriend Li Jiangao anyway.

So when they went out, everyone separated.

Adults go about their business.

The students who were still teenagers walked out of the building smoothly, and Chen Yiwen was still immersed in excitement.

"Brothers, I'm doing well, aren't I? It's not embarrassing to everyone, is it? ”

Tan Jingrong nodded honestly, but Qiao Ze opened his mouth to comment: "The question of multiple variables forming a system set, the group formula you cited when you answered was incomplete, and the expression recognition relationship of g (xi) only said the first half, only expressed the variable relationship, and did not express the decoupling relationship. ”

"Huh?" Chen Yiwen scratched his head, he really didn't pay attention to this, did he miss his back.

"Huh? The expert group didn't say that there was a problem, and after Chen Yiwen answered that question, I saw that they kept nodding their heads. Su Mucheng was also a little surprised.

She also thinks that Chen Yiwen is doing very well today.

"Well, I guess I figured it out myself." Qiao Ze said casually.

His mind at that time was not focused on the reaction of the judges on the observation table, but Chen Yiwen's voice was relatively loud, which went directly into his ears and was written down by the way.

As for why the expert group didn't point it out, José didn't think about it. Anyway, it doesn't matter if it's pointed out, at most add it.

In fact, whether he can win the award or not, Qiao Ze doesn't think it matters.

As the bigwigs considered before, if he really wants to go to the capital to defend, he is probably too lazy to go. Honor is of little use to him, and there is no shortage of money, and the positive feedback from participating in this kind of activity is almost none.

After being pointed out by Qiao Ze himself, Chen Yiwen's original high interest was also hit, but he was not depressed, but he was embarrassed to continue to show off. I thought that I wanted to call everyone to eat and drink to celebrate, and my thoughts faded, so I said goodbye to the three of them when I arrived at the crossroads.

Tan Jingrong must have returned to the Institute of Mathematics with Qiao Ze and Su Mucheng, and Chen Yiwen planned to go back to the dormitory first.

At this point in time, Zhang Zhou and Gu Zhengliang should be in the bedroom.

Although Qiao Ban is still in military training and has not officially attended classes, Zhang Zhou and Gu Zhengliang have not taken classes with the basic mathematics class, but study by themselves in the dormitory every day. In fact, if you don't have to go to class, it is far more comfortable to study on your own in the dormitory than to go to the library.

Everyone went to class, the dormitory was quiet, no one disturbed, and there was no fear of affecting anyone when communicating with each other.

Except, of course, today.

Because Chen doesn't have to go to class today.

Especially after saying goodbye to Qiao Ze, the originally broken Dao Heart began to recover automatically.

……

"Bang ......" as usual, with only one kick, the hidden bedroom door opened.

"All the children take over the ......"

"Get out!" The compliments in unison are very impatient.

"No, don't you want to know what a high-end defense looks like? Don't you need me to tell you about it? ”

"No need, master, why don't you come and help us explain the exercises in the textbook, Lao Gu and I have been blind for a long time."

"Are the exercises in the textbook stumping you? Come on, show me, consider the polynomial ring c[x] on the complex field c. Define the group g=σ,t, where σ and t are the two transformations on c[x], defined as follows:

σ(f(x))=f(ix), where i is an imaginary unit, satisfying i^2=(f(x))=f(x).

Suppose g is generated from σ and t, and σ^4=t^2=(σt)^2=id, where id represents the identity transformation.

Explain how the action of g affects the root of the polynomial in c[x], especially for f(x)=x^2+1. Well...... No, what kind of textbook are you? ”

"Joban's textbook." Zhang Zhou said dejectedly.

"Isn't Joban a freshman? Freshman abstract algebra? Is this reasonable? Chen Yiwen asked with a wink.

"Yes, Introduction to Abstract Algebra is one of the compulsory courses in Joban's freshman year." Gu Zhengliang nodded.

"Not ......"

"I asked Doudao, and Doudao said that our students have basically taught themselves most of the content of set theory, linear algebra, and advanced mathematics, and several students have started the GTM series of learning in the summer, so abstract algebra is not difficult for them. Hey......"

Gu Zhengliang sighed.

Chen Yiwen looked at the decadent two, and suddenly didn't want to hit the two anymore.

It's really weird and pitiful......

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