67 citations · 104 across the 15 of their papers we have counts for
15 papers
New tools for comparing classical and neural ODE models for tumor growth
Anthony D. Blaom, Samuel Okon
A new computational tool TumorGrowthjl for modeling tumor growth is introduced. The tool allows the comparison of standard textbook models, such as General Bertalanffy and Gompe…
OutlierDetection.jl: A modular outlier detection ecosystem for the Julia programming language
David Muhr, Michael Affenzeller, Anthony D. Blaom
OutlierDetection.jl is an open-source ecosystem for outlier detection in Julia. It provides a range of high-performance outlier detection algorithms implemented directly in Julia.…
Designing Machine Learning Toolboxes: Concepts, Principles and Patterns
Franz J. Király, Markus Löning, Anthony Blaom +2
Machine learning (ML) and AI toolboxes such as scikit-learn or Weka are workhorses of contemporary data scientific practice -- their central role being enabled by usable yet powerf…
Flexible model composition in machine learning and its implementation in MLJ
Anthony D. Blaom, Sebastian J. Vollmer
A graph-based protocol called `learning networks' which combine assorted machine learning models into meta-models is described. Learning networks are shown to overcome several limi…
MLJ: A Julia package for composable machine learning
Anthony D. Blaom, Franz Kiraly, Thibaut Lienart +3
MLJ (Machine Learing in Julia) is an open source software package providing a common interface for interacting with machine learning models written in Julia and other languages. It…
A geometer's view of the the Cramér-Rao bound on estimator variance
Anthony D. Blaom
The classical Cramér-Rao inequality gives a lower bound for the variance of a unbiased estimator of an unknown parameter, in some statistical model of a random process. In this not…
Lie Algebroid Invariants for Subgeometry
Anthony D. Blaom
We investigate the infinitesimal invariants of an immersed submanifold of a Klein geometry , and in particular an invariant filtration of Lie algebroids over . T…
The Lie algebroid associated with a hypersurface
Anthony D. Blaom
In this note we motivate the definition and use of Lie algebroids by revisiting the problem of reconstructing a hypersurface in Euclidean space from infinitesimal data.
A Characterisation of Smooth Maps into a Homogeneous Space
Anthony D. Blaom
We generalize Cartan's logarithmic derivative of a smooth map from a manifold into a Lie group to smooth maps into a homogeneous space , and determine the global monodro…
Cartan Connections on Lie Groupoids and their Integrability
Anthony D. Blaom
A multiplicatively closed, horizontal -plane field on a Lie groupoid over generalizes to intransitive geometry the classical notion of a Cartan connection. The infin…
Pseudogroups via pseudoactions: Unifying local, global, and infinitesimal symmetry
Anthony D. Blaom
A multiplicatively closed, horizontal foliation on a Lie groupoid may be viewed as a "pseudoaction" on the base manifold . A pseudoaction generates a pseudogroup of transformati…
The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
Anthony D. Blaom
A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold $M…
Lie algebroids and Cartan's method of equivalence
Anthony D. Blaom
Elie Cartan's general equivalence problem is recast in the language of Lie algebroids. The resulting formalism, being coordinate and model-free, allows for a full geometric interpr…
Geometric structures as deformed infinitesimal symmetries
Anthony D. Blaom
A general model for geometric structures on differentiable manifolds is obtained by deforming infinitesimal symmetries. Specifically, this model consists of a Lie algebroid, equipp…
Abstract mechanical connection and Abelian reconstruction for almost Kahler manifolds
Sergey Pekarsky, Anthony D. Blaom, Jerrold E. Marsden
When the phase space P of a Hamiltonian G-system (P, ω, G, J, H) has an almost Kahler structure a preferred connection, called abstract mechanical connection, can be defined by dec…