Furthermore, such a result is extended to generic continuous functions on[0,1]d with the approximation error characterized by the modulus ofcontinuity.

Scientific discoveries areadvancing atanever-growing rate, with tensofthousands ofnewpapers added just to arXiv every month [4]. This rapid progress has led to information overload within communities, making it nearly impossible for scientists to read all relevant papers.

See Section 11 for discussions.

Secure multi-party computation (MPC) allows parties to perform computations on data while keeping that data private. This capability has great potential for machine-learning applications: itfacilitates training ofmachine-learning models on private data sets owned by different parties, evaluation of one party's private model using another party'sprivatedata,etc. Although arange ofstudies implement machine-learning models via secure MPC, such implementations are not yetmainstream.

With the success of language pretraining, it is highly desirable to develop more efficient architectures ofgood scalability thatcanexploit theabundant unlabeled dataatalowercost.

Forthis10] propose extensiontothe15], which roundingthevistokrandomly in Algorithm (10).

Insteadof (2), consider (Q 1 ,..., Q q ) = argmin Rubin, D. Statistics, pages Rubin, D. comment.