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Intuitions and Formulations
THE MODERN IT SCENARIO
Challenges:
– Why IT?
What’s the problem?
What’s wrong?
Resource Utility
Economic Factors
Reputation and Competition
STEM TALENT DEMAND
Ever growing
Around 300,000 in demand
What comprises STEM?
The US crisis
Novel Definitions
THE ART OF DATA SCIENCE
Problem Definition
– Hypothesis Driven Approach
What’s the problem?
What’s probably a solution?
Analyze facts and data
Present the solution
THE ART OF DATA SCIENCE
Logic Trees
– How to solve the problem?
– How to cause the problem?
– How related is it to the
definitions we have in the world ?
– Formulation
– Validation
– Enhancement
A TEST ON YOUR BASICS
How would you explain a population at its best?
How would you define the income metrics of a nation at its
best?
How would you draw a border between two countries?
What is a straight line?
What is a basis function?
How would you store a 100000x100000 matrix
AN EXERCISE
Design a fair value predictor for used car price
How would you recommend a movie to an acquintance?
Real estate
– Design a fair value estimator for properties in Calicut
– Design a fair value predictor for properties in Calicut
– Design a representation of realtor activities in Calicut
SIGNAL PROCESSING?
Speech Analytics
Image Analytics
Weather Analytics
Finance and Economics
Engine Dynamics
SIGNAL PROCESSING: A USE CASE
Economic system as a signal processing problem?
Open Loop Systems
Assumptions and Hypothesis are non verifiable
Thus the Efficient Market Hypothesis
– All information is incorporated into price
– Market reaches equilibrium through rationale
UTILITY AS A FUNCTION
Utility a concave function of overall wealth
– Utility increases with wealth
– Wealth has diminishing marginal utility
RP Risk Premium, CE Certainty Equivalent
WE JUST MODELED
A rationale person is risk averse
– Would prefer riskless asset
– Certainty is the guaranteed wealth 𝐶𝐸 = 𝑈−1
𝐸 𝑈 𝑊
– 𝑅𝑃 = 𝐸 𝑊 − 𝐶𝐸
– Thus this is source of excess return or pay back of a stock, reason
to pay insurance
– This is how your brain takes decisions
UTILITY AS A FUNCTION
Utility a concave function of overall wealth
– Utility increases with wealth
– Wealth has diminishing marginal utility
RP Risk Premium, CE Certainty Equivalent
OPTIMIZING AND PORTFOLIO ANALYSIS
Mean Variance Portfolio – Solution of mean variance optimization
𝑥𝑖𝑝 = arg min{𝑥 𝑝
𝑇 𝑥 𝑝}
Let the net return for asset i at time t
𝑅𝑖.𝑡 =
𝑝𝑖.𝑡 − 𝑝𝑖.𝑡−1 + 𝑑𝑖.𝑡
𝑝𝑖.𝑡−1
𝑝 𝑖𝑠 𝑡ℎ𝑒 𝑝𝑟𝑖𝑐𝑒 𝑎𝑛𝑑 𝑑 𝑡ℎ𝑒 𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑡 from log of total return
Thus maximize the expected return of a given variance or minimize the
variance of expected return
Or people like signals but not the noise – Otherwise we defined
volatility
OTHER APPLICATIONS OF SP
Time series model
Gaussian process regression for stochastic volatility
Markov Chain Monte Carlo Learning
Kalman Filtering to estimate weights of mean reverting
problems for risk assessments
IT Scenarios, Data Science, Signal Processing

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IT Scenarios, Data Science, Signal Processing

  • 2. THE MODERN IT SCENARIO Challenges: – Why IT? What’s the problem? What’s wrong? Resource Utility Economic Factors Reputation and Competition
  • 3. STEM TALENT DEMAND Ever growing Around 300,000 in demand What comprises STEM? The US crisis Novel Definitions
  • 4. THE ART OF DATA SCIENCE Problem Definition – Hypothesis Driven Approach What’s the problem? What’s probably a solution? Analyze facts and data Present the solution
  • 5. THE ART OF DATA SCIENCE Logic Trees – How to solve the problem? – How to cause the problem? – How related is it to the definitions we have in the world ? – Formulation – Validation – Enhancement
  • 6. A TEST ON YOUR BASICS How would you explain a population at its best? How would you define the income metrics of a nation at its best? How would you draw a border between two countries? What is a straight line? What is a basis function? How would you store a 100000x100000 matrix
  • 7. AN EXERCISE Design a fair value predictor for used car price How would you recommend a movie to an acquintance? Real estate – Design a fair value estimator for properties in Calicut – Design a fair value predictor for properties in Calicut – Design a representation of realtor activities in Calicut
  • 8. SIGNAL PROCESSING? Speech Analytics Image Analytics Weather Analytics Finance and Economics Engine Dynamics
  • 9. SIGNAL PROCESSING: A USE CASE Economic system as a signal processing problem? Open Loop Systems Assumptions and Hypothesis are non verifiable Thus the Efficient Market Hypothesis – All information is incorporated into price – Market reaches equilibrium through rationale
  • 10. UTILITY AS A FUNCTION Utility a concave function of overall wealth – Utility increases with wealth – Wealth has diminishing marginal utility RP Risk Premium, CE Certainty Equivalent
  • 11. WE JUST MODELED A rationale person is risk averse – Would prefer riskless asset – Certainty is the guaranteed wealth 𝐶𝐸 = 𝑈−1 𝐸 𝑈 𝑊 – 𝑅𝑃 = 𝐸 𝑊 − 𝐶𝐸 – Thus this is source of excess return or pay back of a stock, reason to pay insurance – This is how your brain takes decisions
  • 12. UTILITY AS A FUNCTION Utility a concave function of overall wealth – Utility increases with wealth – Wealth has diminishing marginal utility RP Risk Premium, CE Certainty Equivalent
  • 13. OPTIMIZING AND PORTFOLIO ANALYSIS Mean Variance Portfolio – Solution of mean variance optimization 𝑥𝑖𝑝 = arg min{𝑥 𝑝 𝑇 𝑥 𝑝} Let the net return for asset i at time t 𝑅𝑖.𝑡 = 𝑝𝑖.𝑡 − 𝑝𝑖.𝑡−1 + 𝑑𝑖.𝑡 𝑝𝑖.𝑡−1 𝑝 𝑖𝑠 𝑡ℎ𝑒 𝑝𝑟𝑖𝑐𝑒 𝑎𝑛𝑑 𝑑 𝑡ℎ𝑒 𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑡 from log of total return Thus maximize the expected return of a given variance or minimize the variance of expected return Or people like signals but not the noise – Otherwise we defined volatility
  • 14. OTHER APPLICATIONS OF SP Time series model Gaussian process regression for stochastic volatility Markov Chain Monte Carlo Learning Kalman Filtering to estimate weights of mean reverting problems for risk assessments