Letter of MotivApplication (for ML and AI Summer Scholarship)

Letter of motivation isn't a term I've heard in English before. "Application letter" or "Letter of Application" is a good fit.

Having alreadyI passed the state exam in physics this winter and have nearly completed all fundamental math disciplines (only functional analysis remains),. I focus on the mathematical foundations of computer science, namely optimization and the theory of machine learning.

Two seperate sentences make sense here as the ideas are not super connected.

It was in the fall of 2023 when I first tried doingbegan my research.

This sentence is good, this is just a variant that I think sounds better.

Thatis sophomore experience might be called dabbling in sciencewas enlightening and prepared me well for future study and research.

Using the word "dabbling"makes it seem that you are making a joke. Are you?

This semester, I am solving a real-world problem in optimization with a teammate and a mentor.

"Real-world" may provide the meaning you are looking for.

I am fond ofcaptivated by this problem, for it lies at the intersection of machine learning and optimization.

"Captivated" shows more enthusiasm and commitment

I am eager to approach federated learning from a new perspective, which naturally happens whenever one comes into contact with members of another scientific schoolinstitution.

"Institution"is more professional.

It would be a bleak prospectmissed opportunity for me to stay in Moscow this summer, especially when I could visit the vibrant capital of a serene country with a Slavic-speaking population.

"Bleak" is a bit dramatic and could send the message that you don't like Moscow.

In my program, I study all the exacthard sciences: math, physics, and computer science.

Not sure 'exact' is the right work here.

It was in the fall of 2023 when I first tried doing research in the fall of 2023.

Think it sounds better this way round.

A lot has changed since then,: mainly, I have gained expertise in my areas of interest, which has made it possible for me to perform cutting-edge research.

Thus it turneds out that I am working in the area of trustworthy machine learning and am providing mathematical guarantees for ML models, which makes me well-suited to collaborate with Dr. Nikola Konstantinov at INSAIT.

It would befind it a bleak prospect for me to stay in Moscow this summer, especially when I could visit the vibrant capital of a serene country with a Slavic-speaking population.

Saying something is bleak is fairly strongly negative. I'm trying to make it sound a bit softer.

In my program, I study all the exact sciences: math, physics, and computer science.

The phrase "exact sciences" is not one I have encountered before (as an academic). I would simplify the sentence by simply listing your core areas of study.

HavingI have already passed the state exam in physics this winter and have nearly completed all fundamental math disciplines (only functional analysis remains),. I am currently focused on the mathematical foundations of computer science, namely optimization and the theory of machine learning.

Quite a long sentence, I would break it up into two for readability. I was unsure whether you have already started focusing on mathematical foundations of comp sci. If this is a future plan, you could say "I will soon focus" instead.

A lot has changed since then, mainly, I hav. I have since gained expertise in my areas of interest, which has made it possible for me to perform cutting-edge research.

Our goal is to generalize the proof of the differential privacy of the algorithm, which, b. Broadly speaking, this will enable the secure training of neural networks on local user data with real distributions, which often prove to have an unbounded variance.

I would break this up into 2 sentences for readability.

Thus it turned out that I am working in the area of trustworthy machine learning and am providing mathematical guarantees for ML models, which makes me well-suited to collaborate with Dr. Nikola Konstantinov at INSAIT.

Besides, I approve of the approach ofIn addition, I am motivated to undertake intensive study aimed at producing a research article.

BesidesFurthermore, cutting-edge research is not the only benefit of the Fellowship.

Learning foreign languages is my passion, and. I would enjoy the opportunity to learn to understand, and perhaps even speak, a language unknownthat is new to me yet quite similar to Russian, and, if possible, even to try to speak it.

Letter of MotivApplication (for ML and AI Summer Scholarship)

In my program, I study all the exact science number of science subjects: math, physics, and computer science.

"Formal sciences" is the category, but it's not used often in English (compared to e.g. social sciences or natural sciences, which are grouped together more often)

Having already passed the state exam in physics this winter and nearly completed all fundamental math disciplines (only functional analysis remains), I (now/will) focus on the mathematical foundations of computer science, namely optimization and the theory of machine learning.

Not sure if this is looking at the present or the future. If the present, it's better to put in the "now", if it's the future, "will"

We are working on enhancing Sign Stochastic Gradient Descent, an algorithm used in Federated Learning, which guarantees privacy.

Just sounds more natural to omit the second pause here.

I am eager to approach federated learning from a new perspective, which naturally happens whenever one comes into contact with members of another scientific schoolinstitution.