SlideShare a Scribd company logo
1 of 15
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
Intuitions and Formulations for Data Science Problems

More Related Content

Similar to Intuitions and Formulations for Data Science Problems

Chapter 04
Chapter 04Chapter 04
Chapter 04
bmcfad01
 
2008 implementation of va r in financial institutions
2008   implementation of va r in financial institutions2008   implementation of va r in financial institutions
2008 implementation of va r in financial institutions
crmbasel
 

Similar to Intuitions and Formulations for Data Science Problems (20)

TVA p3 The GLOBAL SOCIO ENVIRO ECONOMIC System
TVA p3 The GLOBAL SOCIO ENVIRO ECONOMIC SystemTVA p3 The GLOBAL SOCIO ENVIRO ECONOMIC System
TVA p3 The GLOBAL SOCIO ENVIRO ECONOMIC System
 
Economics for entrepreneurs
Economics for entrepreneurs Economics for entrepreneurs
Economics for entrepreneurs
 
Intro to Quant Trading Strategies (Lecture 9 of 10)
Intro to Quant Trading Strategies (Lecture 9 of 10)Intro to Quant Trading Strategies (Lecture 9 of 10)
Intro to Quant Trading Strategies (Lecture 9 of 10)
 
Price optimization for high-mix, low-volume environments | Using R and Tablea...
Price optimization for high-mix, low-volume environments | Using R and Tablea...Price optimization for high-mix, low-volume environments | Using R and Tablea...
Price optimization for high-mix, low-volume environments | Using R and Tablea...
 
SIZE MATTERS-1
SIZE MATTERS-1SIZE MATTERS-1
SIZE MATTERS-1
 
Sustainable Growth 2020: Sales as a Science by Winning by Design
Sustainable Growth 2020: Sales as a Science by Winning by DesignSustainable Growth 2020: Sales as a Science by Winning by Design
Sustainable Growth 2020: Sales as a Science by Winning by Design
 
TVA p3 01 The Global SOCIO ENVIRO ECONOMIC System
TVA p3 01 The Global SOCIO ENVIRO ECONOMIC SystemTVA p3 01 The Global SOCIO ENVIRO ECONOMIC System
TVA p3 01 The Global SOCIO ENVIRO ECONOMIC System
 
TVA p3 DRAFT C
TVA p3 DRAFT C TVA p3 DRAFT C
TVA p3 DRAFT C
 
Essay On Math 533
Essay On Math 533Essay On Math 533
Essay On Math 533
 
Decision theory
Decision theoryDecision theory
Decision theory
 
Goal-based_wealth_management_benchmarks_-_20230312.pdf
Goal-based_wealth_management_benchmarks_-_20230312.pdfGoal-based_wealth_management_benchmarks_-_20230312.pdf
Goal-based_wealth_management_benchmarks_-_20230312.pdf
 
Utilizing Risk Allocation for Revenue Management_Thesis PPT 5.2016.pptx
Utilizing Risk Allocation for Revenue Management_Thesis PPT 5.2016.pptxUtilizing Risk Allocation for Revenue Management_Thesis PPT 5.2016.pptx
Utilizing Risk Allocation for Revenue Management_Thesis PPT 5.2016.pptx
 
Chapter 04
Chapter 04Chapter 04
Chapter 04
 
decision making criterion
decision making criteriondecision making criterion
decision making criterion
 
2008 implementation of va r in financial institutions
2008   implementation of va r in financial institutions2008   implementation of va r in financial institutions
2008 implementation of va r in financial institutions
 
Intro to Quantitative Investment (Lecture 1 of 6)
Intro to Quantitative Investment (Lecture 1 of 6)Intro to Quantitative Investment (Lecture 1 of 6)
Intro to Quantitative Investment (Lecture 1 of 6)
 
Kinetic bands versus Bollinger Bands
Kinetic bands versus Bollinger  BandsKinetic bands versus Bollinger  Bands
Kinetic bands versus Bollinger Bands
 
Machine_Learning.pptx
Machine_Learning.pptxMachine_Learning.pptx
Machine_Learning.pptx
 
Applications of AI in Supply Chain Management: Hype versus Reality
Applications of AI in Supply Chain Management: Hype versus RealityApplications of AI in Supply Chain Management: Hype versus Reality
Applications of AI in Supply Chain Management: Hype versus Reality
 
Financial Accounting University of New York Prague - Martin Kolmhofer
Financial Accounting University of New York Prague - Martin KolmhoferFinancial Accounting University of New York Prague - Martin Kolmhofer
Financial Accounting University of New York Prague - Martin Kolmhofer
 

Recently uploaded

Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
Medical / Health Care (+971588192166) Mifepristone and Misoprostol tablets 200mg
 
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
masabamasaba
 
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
chiefasafspells
 
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
masabamasaba
 
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
masabamasaba
 

Recently uploaded (20)

%in Midrand+277-882-255-28 abortion pills for sale in midrand
%in Midrand+277-882-255-28 abortion pills for sale in midrand%in Midrand+277-882-255-28 abortion pills for sale in midrand
%in Midrand+277-882-255-28 abortion pills for sale in midrand
 
Announcing Codolex 2.0 from GDK Software
Announcing Codolex 2.0 from GDK SoftwareAnnouncing Codolex 2.0 from GDK Software
Announcing Codolex 2.0 from GDK Software
 
WSO2CON 2024 - API Management Usage at La Poste and Its Impact on Business an...
WSO2CON 2024 - API Management Usage at La Poste and Its Impact on Business an...WSO2CON 2024 - API Management Usage at La Poste and Its Impact on Business an...
WSO2CON 2024 - API Management Usage at La Poste and Its Impact on Business an...
 
%in kaalfontein+277-882-255-28 abortion pills for sale in kaalfontein
%in kaalfontein+277-882-255-28 abortion pills for sale in kaalfontein%in kaalfontein+277-882-255-28 abortion pills for sale in kaalfontein
%in kaalfontein+277-882-255-28 abortion pills for sale in kaalfontein
 
%in Rustenburg+277-882-255-28 abortion pills for sale in Rustenburg
%in Rustenburg+277-882-255-28 abortion pills for sale in Rustenburg%in Rustenburg+277-882-255-28 abortion pills for sale in Rustenburg
%in Rustenburg+277-882-255-28 abortion pills for sale in Rustenburg
 
MarTech Trend 2024 Book : Marketing Technology Trends (2024 Edition) How Data...
MarTech Trend 2024 Book : Marketing Technology Trends (2024 Edition) How Data...MarTech Trend 2024 Book : Marketing Technology Trends (2024 Edition) How Data...
MarTech Trend 2024 Book : Marketing Technology Trends (2024 Edition) How Data...
 
Artyushina_Guest lecture_YorkU CS May 2024.pptx
Artyushina_Guest lecture_YorkU CS May 2024.pptxArtyushina_Guest lecture_YorkU CS May 2024.pptx
Artyushina_Guest lecture_YorkU CS May 2024.pptx
 
%in Bahrain+277-882-255-28 abortion pills for sale in Bahrain
%in Bahrain+277-882-255-28 abortion pills for sale in Bahrain%in Bahrain+277-882-255-28 abortion pills for sale in Bahrain
%in Bahrain+277-882-255-28 abortion pills for sale in Bahrain
 
Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
Abortion Pill Prices Tembisa [(+27832195400*)] 🏥 Women's Abortion Clinic in T...
 
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
%+27788225528 love spells in Toronto Psychic Readings, Attraction spells,Brin...
 
%in Benoni+277-882-255-28 abortion pills for sale in Benoni
%in Benoni+277-882-255-28 abortion pills for sale in Benoni%in Benoni+277-882-255-28 abortion pills for sale in Benoni
%in Benoni+277-882-255-28 abortion pills for sale in Benoni
 
Devoxx UK 2024 - Going serverless with Quarkus, GraalVM native images and AWS...
Devoxx UK 2024 - Going serverless with Quarkus, GraalVM native images and AWS...Devoxx UK 2024 - Going serverless with Quarkus, GraalVM native images and AWS...
Devoxx UK 2024 - Going serverless with Quarkus, GraalVM native images and AWS...
 
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
Love witchcraft +27768521739 Binding love spell in Sandy Springs, GA |psychic...
 
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
%+27788225528 love spells in Knoxville Psychic Readings, Attraction spells,Br...
 
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
%+27788225528 love spells in Huntington Beach Psychic Readings, Attraction sp...
 
AI & Machine Learning Presentation Template
AI & Machine Learning Presentation TemplateAI & Machine Learning Presentation Template
AI & Machine Learning Presentation Template
 
%in tembisa+277-882-255-28 abortion pills for sale in tembisa
%in tembisa+277-882-255-28 abortion pills for sale in tembisa%in tembisa+277-882-255-28 abortion pills for sale in tembisa
%in tembisa+277-882-255-28 abortion pills for sale in tembisa
 
What Goes Wrong with Language Definitions and How to Improve the Situation
What Goes Wrong with Language Definitions and How to Improve the SituationWhat Goes Wrong with Language Definitions and How to Improve the Situation
What Goes Wrong with Language Definitions and How to Improve the Situation
 
WSO2Con2024 - Enabling Transactional System's Exponential Growth With Simplicity
WSO2Con2024 - Enabling Transactional System's Exponential Growth With SimplicityWSO2Con2024 - Enabling Transactional System's Exponential Growth With Simplicity
WSO2Con2024 - Enabling Transactional System's Exponential Growth With Simplicity
 
%in tembisa+277-882-255-28 abortion pills for sale in tembisa
%in tembisa+277-882-255-28 abortion pills for sale in tembisa%in tembisa+277-882-255-28 abortion pills for sale in tembisa
%in tembisa+277-882-255-28 abortion pills for sale in tembisa
 

Intuitions and Formulations for Data Science Problems

  • 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