In numerical analysis, the ITP method, short for Interpolate Truncate and Project, is the first root-finding algorithm that achieves the superlinear convergence of the secant method while retaining the optimal worst-case performance of the bisection method. It is also the first method with guaranteed average performance strictly better than the bisection method under any continuous distribution. In practice it performs better than traditional interpolation and hybrid based strategies (Brent's Method, Ridders, Illinois), since it not only converges super-linearly over well behaved functions but also guarantees fast performance under ill-behaved functions where interpolations fail. The ITP method follows the same structure of standard bracketing strategies that keeps track of upper and lower bounds for the location of the root; but it also keeps track of the region where worst-case performance is kept upper-bounded. As a bracketing strategy, in each iteration the ITP queries the value of the function on one point and discards the part of the interval between two points where the function value shares the same sign. The queried point is calculated with three steps: it interpolates finding the regula falsi estimate, then it perturbes/truncates the estimate (similar to Regula falsi § Improvements in regula falsi) and then projects the perturbed estimate onto an interval in the neighbourhood of the bisection midpoint. The neighbourhood around the bisection point is calculated in each iteration in order to guarantee minmax optimality (Theorem 2.1 of ). The method depends on three hyper-parameters and where is the golden ratio : the first two control the size of the truncation and the third is a slack variable that controls the size of the interval for the projection step. (Wikipedia).
[Calculus] Newton's Method || Lecture 36
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From playlist Calculus 1
Euler’s method - How to use it?
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From playlist Differential Equations
Bento Natura: Fast Exact Solvers for Linear Programs via Interior Point Methods
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From playlist Workshop: Continuous approaches to discrete optimization
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How To Use Newton's Method from Calculus. An easy example using the formula.
From playlist Calculus
Inter-trial phase clustering (ITPC/ITC)
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #3) Time-frequency analysis
It's the ITP Winter Show! ITP is a two-year graduate program located in the Tisch School of the Arts whose mission is to explore the imaginative use of communications technologies — how they might augment, improve, and bring delight and art into people's lives. http://itp.nyu.edu/shows/
From playlist ITP Shows
15.7: A Bot That Replies - Twitter Bot Tutorial
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From playlist 15: Twitter Bot Tutorial - Node.js and Processing
Speaker: Jens Kubieziel An introduction into anonymous communication with I2P I2P is a message-based anonymizing network. It builds a virtual network between the communication endpoints. This talk will introduce the technical details of I2P and show some exemplary applications. My talk
From playlist 24C3: Full steam ahead
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From playlist DerbyCon 2011
It's the ITP Spring Show! ITP is a two-year graduate program located in the Tisch School of the Arts whose mission is to explore the imaginative use of communications technologies — how they might augment, improve, and bring delight and art into people's lives. http://itp.nyu.edu/shows/
From playlist ITP Shows
DEFCON 19: Cipherspaces/Darknets: An Overview Of Attack Strategies
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From playlist DEFCON 19
Graphing the system of two linear inequalities with two horizontal line
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1.1: Introduction - Programming with Text
In this introduction video I talk about my goals for this playlist that accompanies a course I teach at ITP (http://itp.nyu.edu). I show an outline of things I'd like to cover and also discuss the inspirations for the course. 🎥 Next video: https://youtu.be/d3OcFexe9Ik 🎥 All videos: https:
From playlist Programming with Text - All Videos
So far you've just been learning about how to deal with the power of the time-frequency results. This video will introduce you to working with phase values, which reflect the timing of the activity relative to the time=0 event (e.g., stimulus onset). The video uses files you can download
From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution
Newton's Method | Lecture 14 | Numerical Methods for Engineers
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From playlist Numerical Methods for Engineers
More videos like this online at http://www.theurbanpenguin.com We now look at how we can use and define methods in ruby to help keep the code tidy and concise. This also helps with readability of the code and later maintenance. In the example we use we take the decimal to ip address conver
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Euler's method for solving non-separable differential equation by approximation.
From playlist Advanced Calculus / Multivariable Calculus
It's the ITP Winter Show! ITP is a two-year graduate program located in the Tisch School of the Arts whose mission is to explore the imaginative use of communications technologies — how they might augment, improve, and bring delight and art into people's lives. http://itp.nyu.edu/shows/
From playlist ITP Shows
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