Stochastic simulation

Rule-based modeling

Rule-based modeling is a modeling approach that uses a set of rules that indirectly specifies a mathematical model. The rule-set can either be translated into a model such as Markov chains or differential equations, or be treated using tools that directly work on the rule-set in place of a translated model, as the latter is typically much bigger. Rule-based modeling is especially effective in cases where the rule-set is significantly simpler than the model it implies, meaning that the model is a repeated manifestation of a limited number of patterns. An important domain where this is often the case is biochemical models of living organisms. Groups of mutually corresponding substances are subject to mutually corresponding interactions. is a suite of software tools used to generate mathematical models consisting of ordinary differential equations without generating the equations directly. For example below is an example rule in the BioNetGen format: Where: 1. * A(a,a): Represents a model species A with two free binding sites a 2. * B(b): Represents a model species B with one free binding site 3. * A(a!1).B(b!1): Represents model species where at least one binding site of A is bound to the binding site of B With the above line of code, BioNetGen will automatically create an ODE for each model species with the correct mass balance. Additionally, an additional species will be created because the rule above implies that two B molecules can bind to a single A molecule since there are two binding sites. Therefore, the following species will be generated: 4. A(a!1,a!2).B(b!1).B(b!2): Molecule A with both binding sites occupied by two different B molecules. (Wikipedia).

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(ML 11.4) Choosing a decision rule - Bayesian and frequentist

Choosing a decision rule, from Bayesian and frequentist perspectives. To make the problem well-defined from the frequentist perspective, some additional guiding principle is introduced such as unbiasedness, minimax, or invariance.

From playlist Machine Learning

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Sebastian Reich (DDMCS@Turing): Learning models by making them interact

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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What Are Reactive Systems?

Reactive Systems use a high-performance software architecture. They are resilient under stress, and their reactive design allows them to scale elastically to meet demand. The reactive design approach allows the creation of more complex, more flexible systems and forms the basis for some of

From playlist Software Engineering

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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 13.3) 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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(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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What is Math Modeling? Video Series Part 4: Defining Variables

Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. After defining the problem statement and making assumptions, defining variables tells modelers exactly the units they are looking for. This creates the basis for

From playlist M3 Challenge

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Logic 4 - Inference Rules | Stanford CS221: AI (Autumn 2021)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021

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Playing By the Rules-Based Systems || Vincent Warmerdam

Back in the old days, it was common to write rule-based systems. Systems that do; data - [rules] -labels. Nowadays, it's much more fashionable to use machine learning instead. Something like; (labels, data) - [model] - rules. It might be a good time to ask ourselves, is this a better app

From playlist Machine Learning

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Logic 1 - Propositional Logic | Stanford CS221: AI (Autumn 2019)

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ChWesU Topics: Logic Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - Stanford University http://onlinehub.stanford.edu/ Associate Professor

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2019

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End-to-End Differentiable Proving: Tim Rocktäschel, University of Oxford

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the backward chaining algorithm as used in Prolog. Specific

From playlist Logic and learning workshop

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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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Stanford Seminar - ML Explainability Part 2 I Inherently Interpretable Models

Professor Hima Lakkaraju presents some of the latest advancements in machine learning models that are inherently interpretable such as rule-based models, risk scores, generalized additive models and prototype based models. View the full playlist: https://www.youtube.com/playlist?list=PLoR

From playlist Stanford Seminars

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Automating Annotation Process Using Rule-Based Algorithm

Install NLP Libraries https://www.johnsnowlabs.com/install/ Register for Healthcare NLP Summit 2023: https://www.nlpsummit.org/#register Watch all NLP Summit 2022 sessions: https://www.nlpsummit.org/nlp-summit-2022-watch-now/ Presented by Priya Shaji, Data Scientist at MEMORIAL SLOAN

From playlist NLP Summit 2022

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What is ABM? by Bill Rand

Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f

From playlist Summer Research Program On Dynamics Of Complex Systems 2019

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Logic 1 - Overview: Logic Based Models | Stanford CS221: AI (Autumn 2021)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai This lecture covers logic-based models: propositional logic, first order logic Applications: theorem proving, verification, reasoning, think in terms of logical f

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021

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Data Modeling Tutorial | Data Modeling for Data Warehousing | Data Warehousing Tutorial | Edureka

***** Data Warehousing & BI Training: https://www.edureka.co/data-warehousing-and-bi ***** Data modeling is a process used to define and analyze data requirements needed to support the business processes within the scope of corresponding information systems in organizations. Therefore, th

From playlist Data Warehousing Tutorial Videos

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No-Code Transfer Learning from Rules & Models in the Annotation Lab - Dia Trambitas, NLP Summit 2022

Install NLP Libraries https://www.johnsnowlabs.com/install/ Register for Healthcare NLP Summit 2023: https://www.nlpsummit.org/#register Watch all NLP Summit 2022 sessions: https://www.nlpsummit.org/nlp-summit-2022-watch-now/ The high-scale analysis of text and image data in verticals

From playlist NLP Summit 2022

Related pages

Ordinary differential equation | Virtual Cell