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Deep Mukhopadhyay, Ph.D.

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Impact: The way I see it

May 16, 2015 by deepstatorg

Theoretical beauty  x  Practical utility  =  Impact of your work.

  • By Theoretical Beauty, I mean the ability/capacity of “Unification” of any concept/idea. (not proving consistency or rate of convergence).
  • Practical utility denotes the generic usefulness of the algorithm (simultaneously applicable for many problems) – Wholesale algorithms. (not just writing R-packages and coding).
  • The goal is to ensure that none of the quantities in the LHS of the equation are close to ZERO. Perfect balance is required to maximize the impact (which is an art).
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Filed Under: Blog Tagged With: 21st-century statistics, impact, Next-Generation Statisticians

Models of Convenience to Useful Models

April 21, 2015 by deepstatorg

article by Mark van der Laan, which has a number of noteworthy aspects. I feel it’s an excellent just-in-time reminder, which rightly demands a change in perspective: “We have to start respecting, celebrating, and teaching important theoretical statistical contributions that precisely define the identity of our field.” The real question is which are those topics? Answer: which statistical concepts and tools are routinely used by non-statistician data scientists for their data-driven discovery? How many of them were discovered in the last three decades (and compare with the number of so-called “top journal” papers that get published every month!)? Are we moving in the right direction? Isn’t it obvious why “our field has been nearly invisible in key arenas, especially in the ongoing discourse on Big Data and data science.” (Davidian 2013). Selling the same thing under a new name will not going to help (in either research or teaching) ; we need to invent and recognize new ideas, which are beautiful & useful. I totally agree with what he said, “Historically, data analysis was the job of a statistician, but, due to the lack of rigor that has developed in our field, I fear our representation in data science is becoming marginalized.” I believe the first step is to go beyond the currently fashionable plug-and-play type model building attitude – let’s make it an Interactive and Iterative (thus more enjoyable) process based on few fundamental and unified rules. Another way of saying the same thing is, “the smartest thing on the planet is neither man nor machine – its the combination of the two” [George Lee]. He refers to the famous quote “All models are wrong, but some are useful.” He also expressed the concern that “Due to this, models that are so unrealistic that they are indexed by a finite dimensional parameter are still the status quo, even though everybody agrees they are known to be false.” To me the important question is: Can we systematically discover the useful ones rather than starting with a  guess solely based on convenience–typically two types: Theoretical and Computational.  (Classical) Theoreticians like to stay in the perpetual fantasy world of “optimality,”  whereas the (present-day) Computational goal is to make it “faster” by hook or crook. It seems to me that the ultimate goal is to devise a “Nonparametric procedure to Discover Parametric models” (The Principle of NDP), which are simple and better than “models of convenience.” Do we have any systematic modeling strategy for that? [An example]   “Stop working on toy problems, stop talking down theory, stop being attached to outdated statistical methods, stop worrying about the politics of our journals and our field. Be a true and proud statistician who is making an impact on the real world of Big Data. The world of data science needs us—let’s rise to the challenge.”]]>

Filed Under: Blog Tagged With: 21st-century statistics, Model discovery, Next-Generation Statisticians, Science of Model Building, Science of Statistics

The Misfits. The Rebels. The Troublemakers.

April 21, 2015 by deepstatorg

Think Different https://www.youtube.com/watch?v=8rwsuXHA7RA]]>

Filed Under: Blog

Beauty and Truth

January 31, 2015 by deepstatorg

Murray Gell-Mann discussing why elegant equations more likely to be right than inelegant ones. What is Beauty ? When in terms of some mathematical notation, you can write the theory in a very brief space, without a lot of complication that’s essentially what we mean by beauty or elegance. What is the role of Unification ? We believe there is a unified theory underlying all the regularities. Steps toward unification exhibit the simplicity and self-similarity across the scales.  Therefore the math for one skin (of the onion) allows you to express beautifully and simply the phenomenon of the next skin.

“You don’t need something more to  explain something more.”

https://www.youtube.com/watch?v=UuRxRGR3VpM]]>

Filed Under: Blog Tagged With: Beauty and Truth, Science of Statistics, Unification, unified theory

Answer Machine vs. Single Answer

January 22, 2015 by deepstatorg

Manjul Bhargava in his recent interview mentioned “Mathematics is about coming up with your own creative ways to come to that one right answer. There’s not one path and everybody has their personal path that they can discover and that’s what makes it fun. That’s the adventurous part of mathematics, the creative part of mathematics” From that perspective I feel Statistics is MORE fun and adventurous because there is  no “one answer’’ .  Develop your own way to arrive at your own solution that fits the data [Art of Statistics]. The real question to me is: Can we derive these different levels of answers in a systematic way ? [Science of Statistics]. We need to popularize the idea of  “Answer Machine” recommended by Manny Parzen (more than a decade back) where he mentioned “I believe that the concept of “answer machine” is required to explain what statisticians do. Mathematics finds a definite answer to a problem; statistics provide answer machines, which are formulas that can be adapted to compute and compare answers under varying assumptions”]]>

Filed Under: Blog Tagged With: Answer Machine, Art of Statistics, Science of Statistics

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Deep Mukhopadhyay

Deep Mukhopadhyay
Statistics Department
deep [at] unitedstatalgo.com

EDUCATION

  • Ph.D. (2013), Texas A&M University
  • M.S. (2008), Indian Institute of Technology (IIT), Kanpur
  • B.S. (2006), University of Calcutta, India

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