Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [data-analysis]

Questions on the use of mathematical techniques to extract properties from given data. Consider if your question might be more suited for Cross Validated (stats.SE) instead.

1074 questions
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Where to start learning about topological data analysis?

I was wondering if anyone could help me out with finding a nice introductory text for topological data analysis (I'm speaking as somebody who has two semesters of experience with topology, and much less experience with data analysis.) Are there any…
Bachmaninoff
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25
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Roadmap for learning Topological Data Analysis?

I'm a math major who has recently graduated and I will be starting full time work in 'data analysis'. Having finished with decent marks and still being incredibly interested in mathematics, I was thinking of pursuing graduate study/research at some…
aevn
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Polynomial fitting where polynomial must be monotonically increasing

Given a set of monotonically increasing data points (in 2D), I want to fit a polynomial to the data which is monotonically increasing over the domain of the data. If the highest x value is 100, I don't care what the slope of the polynomial is at…
splicer
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13
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Use a set of data points from a graph to find a derivative

I have a data logger that is recording the temperature readings from thermocouples at a specific interval. This gives me data points that I can graph where the x-coordinate is time and the y-coordinate is temperature. For each set of data points…
Trillian522
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Mathematics base for data mining and artificial intelligence algorithms.

Could you give me some clarification about data mining and artificial intelligence algorithms? What mathematics base they used for? Could you give me starting point, in mathematics, to understand these types of algorithms?
Dmitry Zagorulkin
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How would I go about calculating the center of a sphere based on points from it's surface?

I've recorded random Cartesian coordinates from the surface of a sphere. I'm trying to extrapolate where the center x,y,z coordinate of this sphere would be based on the points below. I'm trying to create a script to solve this, but the math has me…
Billathekilla
  • 111
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0 answers

Topological Features and Graph Spectra

I was just thinking recently about if there are any possible meaningful connections between tools such as persistent homology used for things like topological data analysis and tools used in spectral graph theory (I don’t have really any experience…
Corey
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9
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3 answers

Removing noise when the signal is not smooth

Suppose we have (an interval of) a time series of measurements: We assume it can be explained as a "simple" underlying signal overlaid by noise. I'm interested in finding a good algorithm to estimate the value of the simple signal at a given point…
hmakholm left over Monica
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2 answers

What is the most scientific way to assign weights to historical data?

This is a common question I usually face while processing historical data. I have year on year data of an event for the past N years.I would like to assign weights to the data of these N years so that the data corresponding to the most recent year…
Nilotpal Sinha
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8
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2 answers

How do I find the formula (or rules) that created a list of numbers with seemingly no pattern?

Newbie here, and I apologize if this is the wrong forum for this type of question... I have a group of 200 or so alphanumeric codes from an unknown source. Here's an example piece of the data…
Ethan Allen
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2 answers

Power set of a set containing a set

I need some help understanding this concept a little better. I understand the general power sets, but only worked nice and easy examples where only the set consisted of only single elements like $\{a,b,c\}$. I can do that power set, but I am…
GenericUser01
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2 answers

Value range of normalization methods? min-max, z-score, decimal scaling

I am working my way through Normalization (data transformation) of data and was curious about four methods: min-max normalization, 2. z-score, 3. z-score mean absolute deviation, and 4. decimal scaling. I am reading through a book so this is…
Kairan
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7
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3 answers

Find the median given a table of relative frequencies

I came across the following GRE question. I had no problem finding the mean. However, the answer for the median is given to be 1. I don't understand how they arrive at this. Find the mean and median of the values of the random variable $X$, whose…
Joebevo
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TDA and knot theory

I'm new to topological data analysis, and I learned some basics of it including persistent homology and mapper. In this paper, authors suggest a method to detect circle $S^{1}$, which is 1-dimensional object but can't be embedded into $\mathbb{R}$.…
Seewoo Lee
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7
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2 answers

Are there 'serious' mathematical problems emerging from data science?

Are there any proper research-level mathematics problems that have come out of the activity known as "data science"? I put the quotes because it really is not so clear what "data science" is to me; I am a data science sketpic if you will.
SBK
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