Super God-Level Top Student
Chapter 845 - 318 Guests and Hosts Fully Enjoying Themselves_2

"It's good that you've looked it up; it saves us the trouble of having to explain in detail. Qiao Ze, you know the purpose of our visit, right? Ah, thanks, Su." Zhou Liang said, as he casually took the cup of tea offered by Su Mucheng.

"Yes, I'm aware." Qiao Ze nodded.

"We've heard there's a new encryption algorithm and compression algorithm, and Ma and I couldn't help but come along. Qiao Ze, since you've looked into our backgrounds, you should know we've been researching these things for most of our lives."

"Yes, I know you study differential cryptanalysis methods. I've read some of your papers, and I'm aware that Academician Ma focuses on frequency-domain image compression algorithm research," Qiao Ze replied.

"Oh, do you have any suggestions for our work?" Liu Jiechun pursued further.

Luckily, Qiao Ze was experienced in dealing with academicians and knew to speak his mind directly.

"The differential cryptanalysis security analysis of the encryption primitives in your paper is quite forced. But at this stage, it's not very meaningful. To put it simply, well-designed cryptographic systems are inherently resistant to differential cryptanalysis. However, when faced with more powerful supercomputers, one doesn't need differential cryptanalysis to break encryption that's based on more primitive principles."

"The same is true for compression algorithms. It's impossible to significantly improve compression efficiency based on existing research. Otherwise, the most efficient method for handling large-scale professional data wouldn't be using trucks to transport it. To fundamentally solve the problem, we need to innovate on the basis of theoretical foundations. But that's no fault of yours, it's the limitation of the times," Qiao Ze commented objectively.

"The limitation of times, heh, well said. Indeed, back in our day, we really didn't have the resources you have now, everything was figured out by ourselves. But speaking of which, Li's report mentioned Dou Dou's database used a new compression algorithm, what's the situation with that? Could you explain in detail?" Ma Xuming took the initiative to speak up.

Although Ma felt somewhat uncomfortable with Qiao Ze's evaluation, to be honest, he wasn't too upset about it.

He genuinely asked out of interest, rather than provocation, as he was very keen on the new compression algorithm. Outsiders might watch for fun, but professionals look for the essence.

After studying Dou Dou, Ma Xuming truly felt that the super capability of Dou Dou's database management was closely related to some new algorithms.

Upon hearing that, Qiao Ze asked, "Before you came here, did you get to learn about the specifics of superspiral algebra concerning hypercomplex numbers and Super Binomials?"

"The hypercomplex number form wouldn't be too difficult for us. Qiao, let me tell you, we came prepared this time, having specifically studied your Qiao Algebraic Geometry," Zhang Mingrui interjected, worried that Qiao Ze might misunderstand Ma Mingxu's attitude.

"Oh." Qiao Ze nodded, then glanced at Su Mucheng by his side, who immediately went inside to fetch a stack of draft paper for Qiao Ze.

"Let me give you an example, and you should understand. First, assume a high-dimensional vector, $\\mathbf{x}=(x_1, x_2,\\ldots, x_n)$, where $x_i$ represents the $i$th feature of the data.

Next, express each feature as a hypercomplex number in superspiral algebra, $x_i = a_i + b_i \\epsilon$, where $\\epsilon$ is the transcendental unit.

Suppose we have obtained a set of feature vectors $\\mathbf{v}_1,\\mathbf{v}_2,\\ldots,\\mathbf{v}_k$ through PCA, which represent the main directions of variation in the data.

We can then project the data onto the principal feature vectors obtained from PCA and retain the top $k$ principal components to reduce the data's dimensions.

The compressed data can be represented as $\\mathbf{y}=(\\mathbf{y}_1,\\mathbf{y}_2,\\ldots,\\mathbf{y}_k)$, where $\\mathbf{y}_i =\\mathbf{x} \\cdot \\mathbf{v}_i$ is the projection of the data on the $i$th principal component.

Similarly, when decompressing, we use the compressed data $\\mathbf{y}$ and the principal feature vectors obtained from PCA $\\mathbf{v}_1,\\mathbf{v}_2,\\ldots,\\mathbf{v}_k$ to reconstruct the original data.

The structure of the reconstructed data is $\\hat{\\mathbf{x}}=\\sum_{i=1}^{k}\\mathbf{y}_i \\mathbf{v}_i^T$."

Qiao Ze wrote rapidly. Having just finished explaining, he completed the important formulas encompassing data representation, analysis, and reconstruction, then handed the draft paper to Ma Mingxu across the table.

If you understand compression and have studied superspiral algebra, then you should be able to comprehend this straightforward example.

Of course, this is but the simplest theoretical process. When Dou Dou uses it, one still needs to consider data preprocessing, parameter selection, and other issues to ensure the algorithm's effectiveness and performance. However, these are just minor details. In Qiao Ze's view, once the theory is understood, the rest is easy; it's just a matter of time.

Even artificial intelligence could handle it all.

With Dou Dou perfectly using this database system, future upgraded AI would handle it even more effortlessly.

Ma Xuming looked intently at Qiao Ze, then accepted the draft paper he passed over, his attention soon captured by the three formulas on it.

There was much to ponder upon, such as feeling a bit out of depth.

Before coming here, everyone really did study superspiral algebra and transcendental geometry, but there wasn't enough time.

Just looking at these formulas was still a bit much to grasp quickly.

He thought about asking in-depth questions but suddenly felt embarrassed to do so, instead silently committing the formulas to memory and then looking up at Liu Jiechun, who was tilting his head examining the draft, and decisively handed him the paper.

He expected Liu to stay silent upon reviewing it, but, to his surprise, Liu suddenly had an epiphany and remarked, "Oh, I see how it is..."

Ma was about to ask his old friend what he had discerned when Liu passed the draft to Zhou Liang next to him and winked at Ma. Ma instantly caught on and sneered inwardly, deciding not to bother calling him out.

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