mathematics

Ivan Oseledets

Ivan Oseledets is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ivan Oseledets rather than just read about it. In short: Ivan Oseledets (Russian: Оселедец Иван Валерьевич; born July 6, 1983) is a Russian computer scientist and mathematician and professor at the Skolkovo Institute of Science and Technology. He is best known for the tensor train decomposition, which is more commonly called a matrix product state in the area of tensor networks.

Key takeaways

Ivan Oseledets belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Ivan Oseledets to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Ivan Oseledets from memory before moving on to harder problems.

Reference excerpt

Ivan Oseledets (Russian: Оселедец Иван Валерьевич; born July 6, 1983) is a Russian computer scientist and mathematician and professor at the Skolkovo Institute of Science and Technology. He is best known for the tensor train decomposition, which is more commonly called a matrix product state in the area of tensor networks. Oseledets joined the Skolkovo Institute of Science and Technology in 2013 and currently serves as the director of the centre for artificial intelligence technology.

Education Oseledets was educated in Russia, receiving an M.Sc from the Moscow Institute of Physics and Technology in 2006, and a Ph.D. from the G.I. Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences in 2007. He received the Russian Doctor of Sciences in 2012 also from the G.I. Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences.

Honors and awards On February 7, 2019, Russian President Vladimir Putin presented Oseledets with an award for, proposing breakthrough computational technology for solving multidimensional problems in physics, chemistry, biology, and data analysis based on tensor expansions. In April 2022, Oseledets was elected to receive the honorary title, Professor of the Russian Academy of Sciences. Oseledets received a Humboldt Prize from the Alexander von Humboldt Foundation. The starting date of the award was February 2022.

Early life and family Ivan Oseledets comes from a family of mathematicians. His grandfather, Ivan Bezhaev, was associate professor at the Moscow State University and reached the rank of lieutenant general in the Soviet Union's Red Army where he was responsible for various mathematical projects involving cryptography. His father, Valeriy Oseledets, proved Oseledets theorem in ergodic systems theory. He is married to a fellow mathematician Ekaterina Muravleva and has a daughter (born around 2011).

References

Worked examples

Example 1 — a first encounter with Ivan Oseledets

Start with the simplest possible case. Write down what Ivan Oseledets claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ivan Oseledets before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ivan Oseledets ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ivan Oseledets

In research: Ivan Oseledets appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Ivan Oseledets in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Ivan Oseledets is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1983 births, 21st-century Russian mathematicians, Humboldt Research Award recipients, so understanding it makes those chapters shorter.
In everyday life: Look for Ivan Oseledets outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ivan Oseledets in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Ivan Oseledets means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Ivan Oseledets out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ivan Oseledets in simple terms?

Why does Ivan Oseledets matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ivan Oseledets?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ivan Oseledets.