mathematics

Tian Zheng

Tian Zheng 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 Tian Zheng rather than just read about it. In short: Tian Zheng is a Chinese-American applied statistician whose work concerns Bayesian modeling and sparse learning of complex data from applications including social networks, bioinformatics, and geoscience. She is a professor of statistics at Columbia University, and chair of the Columbia Department of Statistics.

Key takeaways

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

Reference excerpt

Tian Zheng is a Chinese-American applied statistician whose work concerns Bayesian modeling and sparse learning of complex data from applications including social networks, bioinformatics, and geoscience. She is a professor of statistics at Columbia University, and chair of the Columbia Department of Statistics.

Education and career Zheng was a child of Tsinghua University faculty, and graduated from Tsinghua University in 1998, majoring in applied mathematics with a minor in computer science. Her interest in statistics was sparked by a junior-year project in medical data processing. She went to Columbia University for graduate study in statistics, and earned a master's degree in 2000 and a Ph.D. in 2002. Her dissertation, Multiple-Marker Screening Approach Towards the Study of Complex Traits in Human Genetics, was supervised by Shaw-Hwa Lo. She remained at Columbia as an assistant professor in statistics, became an untenured associate professor in 2007, and was granted tenure in 2012. She was promoted to full professor in 2017, and became department chair in 2019.

Recognition Zheng became an Elected Member of the International Statistical Institute in 2011, and a Fellow of the American Statistical Association in 2014. She was named to the 2022 class of Fellows of the Institute of Mathematical Statistics, for "fundamental research on sparsity and variable importance, and for significant contributions to social network theory and to genetics".

References

External links Home page Tian Zheng publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Tian Zheng

Start with the simplest possible case. Write down what Tian Zheng 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 Tian Zheng 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 Tian Zheng 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 Tian Zheng

In research: Tian Zheng 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 Tian Zheng 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: Tian Zheng is common in secondary-school and first-year university syllabi. It links to neighbouring topics American statisticians, American women statisticians, Chinese statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Tian Zheng 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 Tian Zheng in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Tian Zheng 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 Tian Zheng out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tian Zheng in simple terms?

Why does Tian Zheng 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 Tian Zheng?

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 Tian Zheng.