Optimal decisions | Loss functions
In mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event. An optimization problem seeks to minimize a loss function. An objective function is either a loss function or its opposite (in specific domains, variously called a reward function, a profit function, a utility function, a fitness function, etc.), in which case it is to be maximized. The loss function could include terms from several levels of the hierarchy. In statistics, typically a loss function is used for parameter estimation, and the event in question is some function of the difference between estimated and true values for an instance of data. The concept, as old as Laplace, was reintroduced in statistics by Abraham Wald in the middle of the 20th century. In the context of economics, for example, this is usually economic cost or regret. In classification, it is the penalty for an incorrect classification of an example. In actuarial science, it is used in an insurance context to model benefits paid over premiums, particularly since the works of Harald CramΓ©r in the 1920s. In optimal control, the loss is the penalty for failing to achieve a desired value. In financial risk management, the function is mapped to a monetary loss. (Wikipedia).
What are bounded functions and how do you determine the boundness
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
How to evaluate the limit of a function by observing its graph
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
When is a function bounded below?
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Determining the extrema as well as zeros of a polynomial based on the graph
π Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are the points where the graph turnes. The points where
From playlist Characteristics of Functions
Evaluate the limit for a value of a function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
How to determine the extrema and zeros from the graph of a polynomial
π Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are the points where the graph turnes. The points where
From playlist Characteristics of Functions
Extrema of a function from a graph
π Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are the points where the graph turnes. The points where
From playlist Characteristics of Functions
Learn to evaluate the limit of the absolute value function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
Using parent graphs to understand the left and right hand limits
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
Loss Functions : Data Science Basics
What are loss functions in the context of machine learning?
From playlist Data Science Basics
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 14 - Boolean classification
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/
From playlist Stanford EE104: Introduction to Machine Learning Full Course
Lecture 3 | Loss Functions and Optimization
Lecture 3 continues our discussion of linear classifiers. We introduce the idea of a loss function to quantify our unhappiness with a modelβs predictions, and discuss two commonly used loss functions for image classification: the multiclass SVM loss and the multinomial logistic regression
From playlist Lecture Collection | Convolutional Neural Networks for Visual Recognition (Spring 2017)
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 15 - multiclass classification
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/
From playlist Stanford EE104: Introduction to Machine Learning Full Course
Cynthia Dwork - The Multi-X Framework Pt. 3/4 - IPAM at UCLA
Recorded 13 July 2022. Cynthia Dwork of Harvard University SEAS presents "The Multi-X Framework" at IPAM's Graduate Summer School on Algorithmic Fairness. Abstract: A third general notion of fairness lies between the individual and group notions. We call this βmulti-X,β where βmultiβ refer
From playlist 2022 Graduate Summer School on Algorithmic Fairness
CS231n Lecture 3 - Linear Classification 2, Optimization
Linear classification II Higher-level representations, image features Optimization, stochastic gradient descent
From playlist CS231N - Convolutional Neural Networks
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 7 - constant predictors
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/
From playlist Stanford EE104: Introduction to Machine Learning Full Course
Many animations used in this video came from Jonathan Barron [1, 2]. Give this researcher a like for his hard work! SUBSCRIBE FOR MORE CONTENT! RESEOURCES [1] Paper on adaptive loss function: https://arxiv.org/abs/1701.03077 [2] CVPR paper presentation: https://www.youtube.com/watch?v=Bm
From playlist Deep Learning 101
Backpropagation explained | Part 3 - Mathematical observations
We have focused on the mathematical notation and definitions that we would be using going forward to show how backpropagation mathematically works to calculate the gradient of the loss function. We'll start making use of what we learned and applying it in this video, so it's crucial that y
From playlist Deep Learning Fundamentals - Intro to Neural Networks
Multi-group fairness, loss minimization and indistinguishability - Parikshit Gopalan
Computer Science/Discrete Mathematics Seminar II Topic: Multi-group fairness, loss minimization and indistinguishability Speaker: Parikshit Gopalan Affiliation: VMware Research Date: April 12, 2022 Training a predictor to minimize a loss function fixed in advance is the dominant paradigm
From playlist Mathematics
Learn how to evaluate left and right hand limits of a function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value