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Bachelor in Math - Skills you will learn which are not written in the syllabus
- 1. System LSI/SIRC SAMSUNG Skills you will learn which are not written in the syllabus BACHELOR IN MATH
- 2. System LSI/SIRC SAMSUNG INTRODUCTION: WHAT IS A SKILL By Kokcharov - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=40462355 Learn new domains Develop abstraction Solve hard problems Graduate studies
- 3. System LSI/SIRC SAMSUNG BIO • Theoretical basis: B.A. and M.A. in Mathematics • Academic application: Ph.D. in Electrical Engineering • Industrial application: DoD, Samsung • Looking for skills in the industry: Samsung
- 4. System LSI/SIRC SAMSUNG LEARN NEW DOMAINS • Learning is more than ever critical because of the rapid pace of technology • Disruptive technologies • Math helps learn new domains because • It becomes easier • One can focus on the core of the technology
- 5. System LSI/SIRC SAMSUNG NEURAL NETWORKS • ImageNet NVIDIA
- 6. System LSI/SIRC SAMSUNG NEURAL NETWORKS • By Y LeCun http://www.wired.com/2015/11/heres-how-smart-facebooks-ai-has-become/
- 7. System LSI/SIRC SAMSUNG COURSERA Andrew Ng Bottom line: chain rule for derivation in a high dimensional vector space
- 8. System LSI/SIRC SAMSUNG SOLVE HARD PROBLEMS Theorem Goal Axiom Axiom Axiom Axiom Theorem Theorem Theorem Theorem Theorem Axiom Axiom Claim Claim Claim Claim Claim Claim ClaimClaim
- 9. System LSI/SIRC SAMSUNG SOLVING HARD PROBLEMS • How to tackle a problem when there is no obvious way to start • Develop the intuition • Rigorous proof • Algorithm development: prove that the algorithm converges/gives the right result/does not make the system crash • More examples in the next talk
- 10. System LSI/SIRC SAMSUNG DEVELOP ABSTRACTION John has 2 pieces of candy, he receives one from Jack. How many does he have now? Addition
- 11. System LSI/SIRC SAMSUNG DEVELOP ABSTRACTION Polynomial equations Geometry Number theory Group theory
- 12. System LSI/SIRC SAMSUNG DEVELOP ABSTRACTION Groups Rings Vector spaces Cathegories
- 13. System LSI/SIRC SAMSUNG DEVELOP ABSTRACTION Product buys In shop placement Assortment Model to predict sales
- 14. System LSI/SIRC SAMSUNG CONCLUSION • Knowledge is not enough, skills are also necessary • Learn new domains • Solve hard problems • Develop abstraction • There is no free lunch: those skills come from hard hands-on work • Mathematics is the most beautiful material so enjoy the ride