Philosophy of mathematics | Mathematical theorems
In mathematical folklore, the "no free lunch" (NFL) theorem (sometimes pluralized) of David Wolpert and appears in the 1997 "No Free Lunch Theorems for Optimization". Wolpert had previously derived no free lunch theorems for machine learning (statistical inference). The name alludes to the saying "there ain't no such thing as a free lunch", that is, there are no easy shortcuts to success. In 2005, Wolpert and Macready themselves indicated that the first theorem in their paper "state[s] that any two optimization algorithms are equivalent when their performance is averaged across all possible problems". The "no free lunch" (NFL) theorem is an easily stated and easily understood consequence of theorems Wolpert and Macready actually prove. It is weaker than the proven theorems, and thus does not encapsulate them. Various investigators have extended the work of Wolpert and Macready substantively. In terms of how the NFL theorem is used in the context of the research area, the no free lunch in search and optimization is a field that is dedicated for purposes of mathematically analyzing data for statistical identity, particularly search and optimization. While some scholars argue that NFL conveys important insight, others argue that NFL is of little relevance to machine learning research. (Wikipedia).
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
The ‘Ham Sandwich Theorem’ Will Change How You See the Universe… Seriously
Ham sandwiches are delicious, but they’re also pretty useful when it comes to understanding the universe. Is Anything Truly Random? - https://youtu.be/tClZGWlRLoE Read More: The Ham Sandwich Theorem Is a Delicious and Puzzling Mathematical Principle https://curiosity.com/topics/the-ham
From playlist Elements | Seeker
What is the ham sandwich theorem?
From playlist Mathematics
Calculus - The sandwich theorem
This video explains more about the sandwich theorem and how we use it to find the limit of a function. This theorem is also known as the squeeze theorem. For more videos visit http://www.mysecretmathtutor.com
From playlist Calculus
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Every Subset of the Discrete Topology has No Limit Points Proof
Every Subset of the Discrete Topology has No Limit Points Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Matteo Burzoni: Viability and arbitrage under Knightian uncertainty
Abstract: We provide a general framework to study viability and arbitrage in models for financial markets. Viability is intended as the existence of a preference relation with the following properties: It is consistent with a set of preferences representing all the plausible agents trading
From playlist Probability and Statistics
FinMath L3-2: Risk-neutral measures and self-financing portfolios
Welcome to Lesson 3 of Financial Mathematics (Part 2). In this second half of the lesson, we discuss important topics like self-financing portfolio, risk neutral measures and their basic properties, and the concept of arbitrage. All these tools are essential in financial mathematics, and t
From playlist Financial Mathematics
Multivariable Calculus by Steve Phelps
Steve will provide clear explanations of the concepts and demonstrate how to use GeoGebra to build interactive models that enhance your understanding of the material. You will learn how to create 3D graphs, manipulate functions, and animate mathematical objects, all within the GeoGebra app
From playlist FLGGB 2023
Proof: Cancellation Law for Cartesian Products | Set Theory
We prove the cancellation law for cartesian products. Suppose A, B, and C are sets with C nonempty. Then AxC=BxC. This is a straightforward set equality proof, we first have to consider the case where A is empty. Then, we'll suppose it is nonempty, and show A is a subset of B. It is the sa
From playlist Set Theory
Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
Joint IAS/Princeton University Number Theory Seminar Topic: Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative actions Speaker: Florian Richter Affiliation: Northwestern University Date: June 4, 2020 For more video please visit http://vi
From playlist Mathematics
Learnability can be undecidable | AISC
For slides and more information on the paper, visit https://aisc.ai.science/events/2019-06-17/ Discussion lead: Abdulrahman Al-lahham Discussion facilitator: Mehdi Garrousian
From playlist Math and Foundations
🔥Career Webinar: How Fintech Companies Make Credit Decisions | Machine Learning | Simplilearn
🔥Caltech Post Graduate Program In AI And Machine Learning: https://www.simplilearn.com/artificial-intelligence-masters-program-training-course?utm_campaign=MachineLearningTechniquesWebinar29Sep22-Jf37eDpHCFE&utm_medium=DescriptionFirstFold&utm_source=youtube This video on Machine Learning
From playlist Simplilearn Live
Moduli of p-divisible groups (Lecture 3) by Ehud De Shalit
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
627: AutoML: Automated Machine Learning — with Erin LeDell
#AutoMLH2O #AutoML #WiMLDS @Jon Krohn speaks with Erin LeDell, H2O.ai’s Chief Machine Learning Scientist. They investigate how AutoML supercharges the data science process, the importance of admissible machine learning for an equitable data-driven future, and what Erin’s group Women in M
From playlist Super Data Science Podcast
Fermat’s Last Theorem (with Ken Ribet) - Numberphile Podcast
SUBSCRIBE TO OUR PODCAST ON ITUNES AND ELSEWHERE... Ken Ribet is the president of the American Mathematical Society. He played a key role in the proof of Fermat’s Last Theorem. Ken Ribet’s home page- https://math.berkeley.edu/~ribet/ The AMS - https://www.ams.org/home/page Ken’s famous
From playlist The Numberphile Podcast
Empty Set vs Set Containing Empty Set | Set Theory
What's the difference between the empty set and the set containing the empty set? We'll look at {} vs {{}} in today's set theory video lesson, discuss their cardinalities, and look at their power sets. As we'll see, the power set of the empty set is our friend { {} }! The river runs peacef
From playlist Set Theory
Inkang KIM at CIRM - Interview
Inkang KIM Professor / School of Mathematics Hyperbolic Geometry, Symmetric spaces Korea Institute for Advanced Study Inkang Kim works on hyperbolic geometry and symmetric spaces. He works on rigidity and flexibility of discrete groups acting on symmetric spaces. For rigidity side, he pro
From playlist English interviews - Interviews en anglais