Cryptography | Post-quantum cryptography

Learning with errors

Learning with errors (LWE) is the computational problem of inferring a linear -ary function over a finite ring from given samples some of which may be erroneous.The LWE problem is conjectured to be hard to solve, and thus to be useful in cryptography. More precisely, the LWE problem is defined as follows. Let denote the ring of integers modulo and let denote the set of -vectors over . There exists a certain unknown linear function , and the input to the LWE problem is a sample of pairs , where and , so that with high probability . Furthermore, the deviation from the equality is according to some known noise model. The problem calls for finding the function , or some close approximation thereof, with high probability. The LWE problem was introduced by Oded Regev in 2005 (who won the 2018 Gödel Prize for this work), it is a generalization of the parity learning problem. Regev showed that the LWE problem is as hard to solve as several worst-case lattice problems. Subsequently, the LWE problem has been used as a hardness assumption to create public-key cryptosystems, such as the ring learning with errors key exchange by Peikert. (Wikipedia).

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Machine Learning

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Machine Learning

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How to pick a machine learning model 3: Choosing a loss function

Part of the End-to-End Machine Learning School course library at http://e2eml.school See these concepts used in an End to End Machine Learning project: https://end-to-end-machine-learning.teachable.com/p/polynomial-regression-optimization/ Watch the rest of the How to Choose a Model serie

From playlist E2EML 171. How to Choose Model

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Discover Your Learning Style

In this video, you’ll learn more about the different types of learning styles, to see which one works best for you! Visit https://www.gcflearnfree.org/ to learn even more. We hope you enjoy!

From playlist Fundamentals of Learning

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What is Machine Learning?

In this video, you’ll learn more about the evolution of machine learning and its impact on daily life. Visit https://www.gcflearnfree.org/thenow/what-is-machine-learning/1/ for our text-based lesson. This video includes information on: • How machine learning works • How machine learning i

From playlist Machine Learning

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Lecture 0609 Error analysis

Machine Learning by Andrew Ng [Coursera] 06-02 Machine learning system design

From playlist Machine Learning by Professor Andrew Ng

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assumptions

I use this clip to illustrate the danger of assumptions, especially when using a formula derived by someone else with approximations!

From playlist Clips for Class

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Introduction (4): Complexity and Overfitting

Simple vs complex models; training vs testing error; overfitting

From playlist cs273a

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Machine Learning: Zero to Hero

This is a talk for people who know code, but who don’t necessarily know machine learning. Learn the ‘new’ paradigm of machine learning, and how models are an alternative implementation for some logic scenarios, as opposed to writing if/then rules and other code. This session will guide you

From playlist Machine Learning

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Lecture 06-01 Advice for applying machine learning

Machine Learning by Andrew Ng [Coursera] 0601 Deciding what to try next 0602 Evaluating a hypothesis 0603 Model selection and training/validation/test sets 0604 Diagnosing bias vs variance 0605 Regularization and bias/variance 0606 Learning curves 0607 Deciding what to try next (revisited

From playlist Machine Learning by Professor Andrew Ng

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Lecture 3/16 : The backpropagation learning procedure

Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] 3A Learning the weights of a linear neuron 3B The error surface for a linear neuron 3C Learning the weights of a logistic output neuron 3D The backpropagation algorithm 3E How to use the derivatives computed by the ba

From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]

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Lecture 04 - Error and Noise

Error and Noise - The principled choice of error measures. What happens when the target we want to learn is noisy. Lecture 4 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://itunes.apple.com/us/course

From playlist Machine Learning Course - CS 156

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Cost Function In Machine Learning With Example | Machine Learning Tutorial | Simplilearn

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From playlist Machine Learning with Python | Complete Machine Learning Tutorial | Simplilearn [2022 Updated]

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Lecture 9 | Machine Learning (Stanford)

Lecture by Professor Andrew Ng for Machine Learning (CS 229) in the Stanford Computer Science department. Professor Ng delves into learning theory, covering bias, variance, empirical risk minimization, union bound and Hoeffding's inequalities. This course provides a broad introduction

From playlist Lecture Collection | Machine Learning

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Bias-Variance In Machine Learning | Bias Variance Trade Off | Machine Learning Training | Edureka

** Machine Learning Certification Training: https://www.edureka.co/machine-learning-certification-training ** This Edureka video on 'Bias Variance In Machine Learning' covers the concept of bias and variance in a machine learning model and how it affects the performance of the model. Foll

From playlist Machine Learning Algorithms in Python (With Demo) | Edureka

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Lecture 0606 Learning curves

Machine Learning by Andrew Ng [Coursera] 06-01 Advice for applying machine learning

From playlist Machine Learning by Professor Andrew Ng

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Deep Learning Lecture 2.4 - Statistical Estimator Theory

Deep Learning Lecture - Estimator Theory 3: - Statistical Estimator Theory - Bias, Variance and Noise - Results for Linear Least Square Regression

From playlist Deep Learning Lecture

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What Is Machine Learning?

Machine learning describes computer systems that are able to automatically perform tasks based on data. A machine learning system takes data as input and produces an approach or solution to a task as output, without the need for human intervention. Machine learning is closely tied to th

From playlist Data Science Dictionary

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Bias & Variance In Machine Learning | Bias Variance Tradeoff |Machine Learning Tutorial |Simplilearn

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From playlist AI & Machine Learning | Ronald Van Loon [2022 Updated]

Related pages

Random self-reducibility | Normal distribution | Post-quantum cryptography | Chinese remainder theorem | Computational hardness assumption | Lattice-based cryptography | Vector (mathematics and physics) | Short integer solution problem | Gödel Prize | Public-key cryptography | Chosen-ciphertext attack | Circle group | Modular arithmetic | Cryptography | Ring (mathematics) | Computational problem | Ring learning with errors key exchange