In physics, especially quantum field theory, regularization is a method of modifying observables which have singularities in order to make them finite by the introduction of a suitable parameter called the regulator. The regulator, also known as a "cutoff", models our lack of knowledge about physics at unobserved scales (e.g. scales of small size or large energy levels). It compensates for (and requires) the possibility that "new physics" may be discovered at those scales which the present theory is unable to model, while enabling the current theory to give accurate predictions as an "effective theory" within its intended scale of use. It is distinct from renormalization, another technique to control infinities without assuming new physics, by adjusting for self-interaction feedback. Regularization was for many decades controversial even amongst its inventors, as it combines physical and epistemological claims into the same equations. However, it is now well understood and has proven to yield useful, accurate predictions. (Wikipedia).
In this video, we learn about regularization: an automatic way to adjust the size of the hypothesis set. Link to my notes on Introduction to Data Science: https://github.com/knathanieltucker/data-science-foundations Try answering these comprehension questions to further grill in the conc
From playlist Introduction to Data Science - Foundations
A lesson on regularization with some applications in python
From playlist Regularization
Linear regression (6): Regularization
Lp regularization penalties; comparing L2 vs L1
From playlist cs273a
Math 060 Linear Algebra 28 111914: Diagonalization of Matrices
Diagonalization of matrices; equivalence of diagonalizability with existence of an eigenvector basis; example of diagonalization; algebraic multiplicity; geometric multiplicity; relation between the two (geometric cannot exceed algebraic).
From playlist Course 4: Linear Algebra
Linear Algebra for Computer Scientists. 7. Linear Combinations of Vectors
This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about linear combinations of vectors, that is, you will learn how to create new vectors by scaling then adding other vectors together. You will also learn that some sets
From playlist Linear Algebra for Computer Scientists
Axiom of Regularity (Foundation) vs. Induction
Previous video on regularity: https://youtu.be/AqjctCRGxhw Errata: In 56:27 I say Regularity, but I meant to say Replacement. Text and links: https://gist.github.com/Nikolaj-K/bc9f67d685bcc7d1300372cfabceed9b
From playlist Logic
Seth Lloyd - What Can't Be Predicted in Physics?
Prediction is the fruitful product of good science, but how far can prediction go? Physics is the most mathematical and rigorous of the sciences and so prediction is most successful in physics. But are there limits to predictability in physics? What about quantum indeterminacy? Are there u
From playlist Closer To Truth - Seth Lloyd Interviews
Relating angular and regular motion variables | Physics | Khan Academy
In this video David shows how to relate the angular displacement to the arc length, angular velocity to the speed, and angular acceleration to the tangential acceleration. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/re
From playlist Torque and angular momentum | Physics | Khan Academy
Jenann Ismael - Why Do We Search for Symmetry?
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN Symmetry is when things are the same around an axis. Turn it and it looks the same. A simple idea with profound implications for understanding the universe and for predicting how it works. Finding symmetries,
From playlist Women in Philosophy and Physics/Cosmology - Curated Playlist - Closer To Truth
Stéphane Mallat - Multiscale Models for Image Classification and Physics with Deep Networks
Abstract: Approximating high-dimensional functionals with low-dimensional models is a central issue of machine learning, image processing, physics and mathematics. Deep convolutional networks are able to approximate such functionals over a wide range of applications. This talk shows that t
From playlist 2nd workshop Nokia-IHES / AI: what's next?
DDPS | Empowering Hybrid Twins from Physics-Informed Artificial Intelligence
Talk Abstract World is changing very rapidly. Today we do not sell aircraft engines, but hours of flight, we do not sell an electric drill but good quality holes, … and so on. We are nowadays more concerned by performances than by the products themselves. Thus, the new needs imply focusi
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Michael Mahoney: "Why Deep Learning Works: Implicit Self-Regularization in Deep Neural Networks"
Machine Learning for Physics and the Physics of Learning 2019 Workshop II: Interpretable Learning in Physical Sciences "Why Deep Learning Works: Implicit Self-Regularization in Deep Neural Networks" Michael Mahoney, University of California, Berkeley (UC Berkeley) Abstract: Physics has a
From playlist Machine Learning for Physics and the Physics of Learning 2019
AP Physics 1 review of Torque and Angular momentum | Physics | Khan Academy
In this video, David quickly explains each torque and angular concept and does a sample question for each one. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-concept-review/v/ap-physics-1-review-of
From playlist Review for AP Physics 1 exam | AP Physics 1 | Khan Academy
Angular motion variables | Moments, torque, and angular momentum | Physics | Khan Academy
In this video David explains the meaning of angular displacement, angular velocity, and angular acceleration. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/relating-angular-and-regular-motion-variables?utm_source=YT&utm_
From playlist Torque and angular momentum | Physics | Khan Academy
The Nature of Causation: The Necessary Connection Analysis
In this third lecture in this series on the nature of causation, Marianne Talbot discusses the necessary connection analysis of causation. We have causal theories of reference, perception, knowledge, content and numerous other things. If it were to turn out that causation doesn’t exist, w
From playlist The Nature of Causation
Singular Learning Theory - Seminar 5 - Introduction to density of states
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Dan Murfet talks about density of states, which is a concept from physics that plays an important role in Watanabe's work. The
From playlist Singular Learning Theory
Linear Algebra for Computer Scientists. 9. Decomposing Vectors
This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn how to express a given vector as a linear combination of a set of given basis vectors. In other words, you will learn how to determine the coefficients that were used to
From playlist Linear Algebra for Computer Scientists