Generalized linear models | Regression models

Hierarchical generalized linear model

In statistics, hierarchical generalized linear models extend generalized linear models by relaxing the assumption that error components are independent. This allows models to be built in situations where more than one error term is necessary and also allows for dependencies between error terms. The error components can be correlated and not necessarily follow a normal distribution. When there are different clusters, that is, groups of observations, the observations in the same cluster are correlated. In fact, they are positively correlated because observations in the same cluster share some common features. In this situation, using generalized linear models and ignoring the correlations may cause problems. (Wikipedia).

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PDE FIND

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting techniques to select the nonlinear and partial derivative

From playlist Research Abstracts from Brunton Lab

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(ML 13.6) Graphical model for Bayesian linear regression

As an example, we write down the graphical model for Bayesian linear regression. We introduce the "plate notation", and the convention of shading random variables which are being conditioned on.

From playlist Machine Learning

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(ML 9.2) Linear regression - Definition & Motivation

Linear regression arises naturally from a sequence of simple choices: discriminative model, Gaussian distributions, and linear functions. A playlist of these Machine Learning videos is available here: http://www.youtube.com/view_play_list?p=D0F06AA0D2E8FFBA

From playlist Machine Learning

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(ML 13.3) Directed graphical models - formalism (part 1)

Definition of a directed graphical model, or more precisely, what it means for a distribution to respect a directed acyclic graph.

From playlist Machine Learning

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10g Machine Learning: Isotonic Regression

Lecture on isotonic regression. Introduces the idea of a piece-wise linear model with monotonic constraint. Follow along with the demonstration workflow: https://github.com/GeostatsGuy/PythonNumericalDemos/blob/master/SubsurfaceDataAnalytics_IsotonicRegression.ipynb

From playlist Machine Learning

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Jamie Haddock - Hierarchical and neural nonnegative tensor factorizations - IPAM at UCLA

Recorded 02 December 2022. Jamie Haddock of Harvey Mudd College presents "Hierarchical and neural nonnegative tensor factorizations" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: Nonnegative matrix factorization (NMF) has found many applications includin

From playlist 2022 Multi-Modal Imaging with Deep Learning and Modeling

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Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream

Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar

From playlist Intro to Linear Systems

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Kaggle Reading Group: Dissecting contextual word embeddings (Part 4) | Kaggle

Join Kaggle Data Scientist Rachael as she reads through an NLP paper! Today's paper is "Dissecting contextual word embeddings: Architecture and representation" (Peters et al, 2018). You can find a copy here: https://aclweb.org/anthology/D18-1179 unbalance: EDA,PCA,SMOTE,LR,SVM,DT,RF" by

From playlist Kaggle Reading Group | Kaggle

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Neural networks and the brain: from the retina to semantic cognition - Surya Ganguli

Surya Ganguli research spans the fields of neuroscience, machine learning and physics, focusing on understanding and improving how both biological and artificial neural networks learn striking emergent computations. In this talk Dr. Ganguli shows how a synthesis of machine learning, neuros

From playlist Wu Tsai Neurosciences Institute

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Spotlight Talks - Various

Workshop on Theory of Deep Learning: Where next? Topic: Spotlight Talks Speakers: Yuanzhi Li, Soham De, Mahyar Fazlyab, Maithra Raghu, Valentin Thomas Date: October 15, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Seminar 9: Surya Ganguli - Statistical Physics of Deep Learning

MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Surya Ganguli Describes how the application of methods from statistical physics to the analysis of high-dimensional data can provide theoretical insi

From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015

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On Expressiveness and Optimization in Deep Learning - Nadav Cohen

Members' Seminar Topic: On Expressiveness and Optimization in Deep Learning Speaker: Nadav Cohen Affiliation: Member, School of Mathematics Date: April 2, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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AIUK 2022 WORKSHOP - Fleet Modelling: Digital twins

Research in Action at AI UK 2022 was a series of interactive workshops designed to connect researchers with external stakeholders to solve real-world problems.

From playlist AIUK 2022 Workshops

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Multi-Output Prediction: Theory and Practice - Inderjit Dhillon

Seminar on Theoretical Machine Learning Topic: Multi-Output Prediction: Theory and Practice Speaker: Inderjit Dhillon Affiliation: University of Texas, Austin Date: August 27, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Predictive Modelling Techniques | Data Science With R Tutorial

🔥 Advanced Certificate Program In Data Science: https://www.simplilearn.com/pgp-data-science-certification-bootcamp-program?utm_campaign=PredictiveModeling-0gf5iLTbiQM&utm_medium=Descriptionff&utm_source=youtube 🔥 Data Science Bootcamp (US Only): https://www.simplilearn.com/data-science-bo

From playlist R Programming For Beginners [2022 Updated]

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Deep Learning of Hierarchical Multiscale Differential Equation Time Steppers

This video by Yuying Liu introduces a new deep learning architecture to accurately and efficiently integrate multiscale differential equations forward in time. This approach is benchmarked on several illustrative dynamical systems. Check out the paper on arXiv: https://arxiv.org/abs/20

From playlist Data-Driven Science and Engineering

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Exponential Growth Models

Introduces notation and formulas for exponential growth models, with solutions to guided problems.

From playlist Discrete Math

Related pages

Inverse-gamma distribution | Independence (probability theory) | Beta distribution | Identity function | Binomial distribution | Generalized linear model | Natural logarithm | Logit | Gamma distribution | Statistics | Poisson distribution | Normal distribution | Identifiability | Generalized linear mixed model | Multiplicative inverse