Mathematical modeling | Models of computation

Computational model

A computational model uses computer programs to simulate and study complex systems using an algorithmic or mechanistic approach and is widely used in a diverse range of fields spanning from physics, chemistry and biology to economics, psychology, cognitive science and computer science. The system under study is often a complex nonlinear system for which simple, intuitive analytical solutions are not readily available. Rather than deriving a mathematical analytical solution to the problem, experimentation with the model is done by adjusting the parameters of the system in the computer, and studying the differences in the outcome of the experiments. Operation theories of the model can be derived/deduced from these computational experiments. Examples of common computational models are weather forecasting models, earth simulator models, flight simulator models, molecular protein folding models, and neural network models. (Wikipedia).

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Jonathan Weare (DDMCS@Turing): Stratification for Markov Chain Monte Carlo

Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp

From playlist Data driven modelling of complex systems

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generative model vs discriminative model

understanding difference between generative model and discriminative model with simple example. all machine learning youtube videos from me, https://www.youtube.com/playlist?list=PLVNY1HnUlO26x597OgAN8TCgGTiE-38D6

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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Eric Vanden-Eijnden (DDMCS@Turing): Neural networks as interacting particle systems

Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp

From playlist Data driven modelling of complex systems

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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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Tony Lelievre (DDMCS@Turing): Coarse-graining stochastic dynamics

Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp

From playlist Data driven modelling of complex systems

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(ML 13.4) Directed graphical models - formalism (part 2)

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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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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Nikos Paragios - Data Mining Though Higher Order Probabilistic Graphical Models

In this talk we present a generic higher order graph-based computational model for automatically inferring and learning data interpretations in divers settings. In particular we discuss the interest and theoretical strengths of such representations, propose efficient i

From playlist 3rd Huawei-IHES Workshop on Mathematical Theories for Information and Communication Technologies

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COMPUTER HISTORY: REMEMBERING THE IBM SYSTEM/360 MAINFRAME, its Origin and Technology (IRS, NASA)

The origin of the IBM System/360 mainframe computer family, IBM’s most successful computer product line, and one of the most influential computer system architectures of the twentieth century. IBM invested $5 billion in resources to develop the new architecture and multiple system models.

From playlist Computer History: Early IBM computers 1944 to 1970's

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Multiscale modeling and simulations to bridge molecular... - 5 October 2018

http://www.crm.sns.it/event/422/ Multiscale modeling and simulations to bridge molecular and cellular scales Predicting cellular behavior from molecular level remains a key issue in systems and computational biology due to the large complexity encountered in biological systems: large num

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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DDPS | Learning hierarchies of reduced-dimension and context-aware models for Monte Carlo sampling

In this DDPS Seminar Series talk from Sept. 2, 2021, University of Texas at Austin postdoctoral fellow Ionut-Gabriel Farcas discusses hierarchies of reduced-dimension and context-aware low-fidelity models for multi-fidelity Monte Carlo sampling. Description: In traditional model reduction

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Selecting the BEST Regression Model (Part D)

Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics

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DeepMind x UCL | Deep Learning Lectures | 11/12 | Modern Latent Variable Models

This lecture, by DeepMind Research Scientist Andriy Mnih, explores latent variable models, a powerful and flexible framework for generative modelling. After introducing this framework along with the concept of inference, which is central to it, Andriy focuses on two types of modern latent

From playlist Learning resources

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Stanford CS224N NLP with Deep Learning | Spring 2022 | Guest Lecture: Scaling Language Models

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/3w46jar To learn more about this course visit: https://online.stanford.edu/courses/cs224n-natural-language-processing-deep-learning To follow along with the course

From playlist Stanford CS224N: Natural Language Processing with Deep Learning | Winter 2021

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CS25 I Stanford Seminar - Mixture of Experts (MoE) paradigm and the Switch Transformer

In deep learning, models typically reuse the same parameters for all inputs. Mixture of Experts (MoE) defies this and instead selects different parameters for each incoming example. The result is a sparsely-activated model -- with outrageous numbers of parameters -- but a constant computat

From playlist Stanford Seminars

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Stanford CS105: Introduction to Computers | 2021 | Lecture 26.1 - Cloud Computing

Patrick Young Computer Science, PhD This course is a survey of Internet technology and the basics of computer hardware. You will learn what computers are and how they work and gain practical experience in the development of websites and an introduction to programming. To follow along wi

From playlist Stanford CS105 - Introduction to Computers Full Course

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Ruslan Salakhutdinov: "Learning Hierarchical Generative Models, Pt. 1"

Graduate Summer School 2012: Deep Learning, Feature Learning "Learning Hierarchical Generative Models, Pt. 1" Ruslan Salakhutdinov, University of Toronto Institute for Pure and Applied Mathematics, UCLA July 23, 2012 For more information: https://www.ipam.ucla.edu/programs/summer-school

From playlist GSS2012: Deep Learning, Feature Learning

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Stanford Seminar - Distributed Perception and Learning Between Robots and the Cloud

Sandeep Chinchali Stanford University January 10, 2020 Today’s robotic fleets are increasingly facing two coupled challenges. First, they are measuring growing volumes of high-bitrate video and LIDAR sensory streams, which, second, requires them to use increasingly compute-intensive model

From playlist Stanford AA289 - Robotics and Autonomous Systems Seminar

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Goksel MISIRLI - Computational Design of Biological Systems

Synthetic biologists’ aim of designing predictable and novel genetic circuits becomes ever more challenging as the size and complexity of the designs increase. One way to facilitate this process is to use the huge amount of biological data that already exist. However, biological data are

From playlist Cellular and Molecular Biotechnology

Related pages

Nonlinear system | Microscale and macroscale models | Membrane computing | Agent-based model | Reversible computing | Neural network | Decision field theory | Artificial neural network