One reason for that: It could be harder for a Chinese student to get into Tsinghua than a US student to get into MIT. The same likely holds for a range of other institutions as well. This is based on corresponding admission rates. Also, on average, Chinese students have better math background than American students.
Obviously, MIT, Stanford, etc. currently have higher prestige in the world's eyes. It doesn't mean though that the education there is always more rigorous than top-level institutions in China.
On average, Chinese from the big cities have better math background than all Americans, not on average for the entire country. Compulsory education in china stops at 9th grade, and small city/rural schools are incredibly underfunded compared to PISA-record beating shanghai.
https://www.quora.com/Are-there-any-examples-of-hard-Chinese...
By the way, SAT Math questions are generally considered a piece of cake by most good students in East Asia (and they often get 800 or close without much extra preparation), which says something about the level of average American high school math education.
The SATs are simple math. The GREs are as simple, which is presumably four years farther along than the SATs. However, it's hard answering all those questions correctly in the given time frame (presumably). You'd need a randomly sampled set of chinese kids taking the SATs to see where they fit against our distribution of scores to draw further conclusions. Bear in mind, too, top american students are studying advanced math in high school (advanced meaning, enough to reasonably answer the questions on the quora page, with time to practice and get used to things like the proof questions)
Note: I'm not trying to justify the american education system, just providing commentary and trying to level the comparison a bit.
Note that fewer percentage of Chinese youths attend high school than American, so that might skew the comparison.
Anyway, don't mean to argue - it does appear on the news a lot "the chinese are out mathing us! America sucks!" with some political finger pointing, and my reaction is usually a facepalm coupled with wondering how controlled the comparison is.
0/4, none of these are really under the aegis of the Beijing regime - and while it is flattering of you to compare the entirety of the population of four countries with 40 million people to the single most selective school in the US, it is rather inaccurate to do so.
If you look closer, PISA 2015 also had China in there, where the four provinces Jiangsu, Guangdong, Beijing, and Shanghai participated. Now poor illiterate migrants' kids might not get hukous to Beijing schools, so you might be right that this might be slightly biased - but even these four richer provinces have nearly the population of the US, so even if only 200 million Chinese are "outmathing us", it still makes a massive difference.
See: http://ncee.org/2016/12/pisa-2015-results/
The range of schools in PISA is much broader than the top sliver of students in Phillips Exeter etc you mentioned.
Cloud compute systems are the next evolution of supercomputing. Or put a better way, the traditional supercomputers being measured, are history.
It'd be like holding up 56k modem market leadership today as a sign of technological dominance.
[1] https://www.opensciencegrid.org/ [2] http://www.nersc.gov/ [3] https://www.alcf.anl.gov/
Although, Azure is currently doing some HPC offerings.
Quantum communications and certain NLP applications/technologies are some areas that China has likely surpassed the US. These are definitely not comparable to 56k modem.
Traditional supercomputers, except in isolated use cases, are a thing of the past. Nearly all supercomputing work will be done in the cloud in the not very distant future, supercomputing will continue to shrink.
China's use of supercomputing is because on the whole they're still a decade behind on adopting cloud computing (which is why Alibaba, their leader in the segment, has such a small business compared to the US cloud giants).
You can search ‘quantum communications china’ for more references.
For NLP research: https://rajpurkar.github.io/SQuAD-explorer/. See the teams behind top algorithms.
For real-world NLP: Xiaoyi (Little Doctor) was the first (and currently the only) AI that passed a medical licensing exam that human doctors need to pass (and rote learning is not enough to pass): http://sites.ieee.org/futuredirections/2017/12/02/congrats-x...
This might be a key factor in the drastic rise. China is annually graduating about 8 times as many STEM degree holders as the US, as of 2016:
"...In 2013, 40 percent of Chinese graduates finished a degree in STEM, over twice the share in American third level institutions."
"The World Economic Forum reported that China had 4.7 million recent STEM graduates in 2016. India, another academic powerhouse, had 2.6 million new STEM graduates last year while the U.S. had 568,000."
Source: The Countries With The Most STEM Graduates [Infographic] https://www.forbes.com/sites/niallmccarthy/2017/02/02/the-co...