Bayesian estimation | Computational anatomy | Geometry
Computational anatomy is an interdisciplinary field of biology focused on quantitative investigation and modelling of anatomical shapes variability. It involves the development and application of mathematical, statistical and data-analytical methods for modelling and simulation of biological structures. The field is broadly defined and includes foundations in anatomy, applied mathematics and pure mathematics, machine learning, computational mechanics, computational science, biological imaging, neuroscience, physics, probability, and statistics; it also has strong connections with fluid mechanics and geometric mechanics. Additionally, it complements newer, interdisciplinary fields like bioinformatics and neuroinformatics in the sense that its interpretation uses metadata derived from the original sensor imaging modalities (of which magnetic resonance imaging is one example). It focuses on the anatomical structures being imaged, rather than the medical imaging devices. It is similar in spirit to the history of computational linguistics, a discipline that focuses on the linguistic structures rather than the sensor acting as the transmission and communication media. In computational anatomy, the diffeomorphism group is used to study different coordinate systems via coordinate transformations as generated via the Lagrangian and Eulerian velocities of flow in . The are constrained to be satisfying . The kinetic energy is defined through a norm with strictly more than two generalized, square-integrable derivatives for each component of the flow velocity, which guarantees that the flows in are diffeomorphisms. It also implies that the taken pointwise satisfying the is determined by its neighbors through spatial derivatives on the velocity field. This separates the discipline from the case of incompressible fluids for which momentum is a pointwise function of velocity. Computational anatomy intersects the study of Riemannian manifolds and nonlinear global analysis, where groups of diffeomorphisms are the central focus. Emerging high-dimensional theories of shape are central to many studies in computational anatomy, as are questions emerging from the fledgling field of shape statistics.The metric structures in computational anatomy are related in spirit to morphometrics, with the distinction that Computational anatomy focuses on an infinite-dimensional space of coordinate systems transformed by a diffeomorphism, hence the central use of the terminology , the metric space study of coordinate systems via diffeomorphisms. (Wikipedia).
The clavicle using Mathematica
This is our first look at some actual anatomy. In this video I discuss the clavicula, one of the bones of the upper limb. Everything is based on the concept of a computational essay. You can download the notebook file on GitHub at https://github.com/juanklopper/human_anatomy_with_the_Wo
From playlist Human Anatomy
Computational Microscopy: Utilizing Image Processing and Neural Networks
www.wolfram.com/wolfram-u/ This event features demos and tutorials using Wolfram technologies for 2D and 3D image analysis and computer vision. Wolfram's integrated workflow combines high level image processing and machine learning in one system, allowing to solve a variety of problems fr
From playlist Computational Microscopy
The Wolfram Language computational essay for anatomy
In this second video of the Human Anatomy using the Wolfram Language , I take a look at the idea of a computational essay. The idea behind this playlist is to teach you anatomy, but also to empower you to create your own documents. These documents will take the form of computational essa
From playlist Human Anatomy
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
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
Algorithms Explained: Computational Complexity
An overview of computational complexity including the basics of big O notation and common time complexities with examples of each. Understanding computational complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if y
From playlist Algorithms Explained
11b Machine Learning: Computational Complexity
Short lecture on the concept of computational complexity.
From playlist Machine Learning
Introduction to Computational Linguistics
http://users.umiacs.umd.edu/~jbg/teaching/CMSC_723/
From playlist Computational Linguistics I
Machine Learning for Computational Fluid Dynamics
Machine learning is rapidly becoming a core technology for scientific computing, with numerous opportunities to advance the field of computational fluid dynamics. This paper highlights some of the areas of highest potential impact, including to accelerate direct numerical simulations, to i
From playlist Data Driven Fluid Dynamics
Twitch Talks - Biological & Medical Entities
Presenters: Keiko Hirayama and John Cassel Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on July 11, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolf
From playlist Twitch Talks
Neuroscience in the Wolfram Language
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Keiko Hirayama Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an
From playlist Wolfram Technology Conference 2017
Animal Anatomy in the Wolfram Language
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Keiko Hirayama Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an
From playlist Wolfram Technology Conference 2018
For the latest information, please visit: http://www.wolfram.com Speakers: Jeff Bryant & Keiko Hirayama Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2016
Live CEOing Ep 71: Long-term Design Decisions for Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Long-term Design Decisions for the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Human Anatomy with the Wolfram Language
This is my new YouTube series on human anatomy using the Wolfram Language. Data and visual representations of anatomical objects are available in the Wolfram Language and are easy to interact with in Mathematica. This is the introductory video, in which I motivate why you would want to u
From playlist Human Anatomy
Essentials of Neuroscience with MATLAB: Module 5-7 (Ca+ imaging)
You will learn about working with calcium imaging data, including image processing to remove background "blur," identifying cells based on thresholded spatial contiguity, time series filtering, and principal components analysis (PCA). The MATLAB code shows data animations, capabilities of
From playlist Essentials of neuroscience with MATLAB
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Image Processing for Ocular Diseases Clinical Research
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Massimo A Fazio Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, a
From playlist Wolfram Technology Conference 2017