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A blender is a closed convex cone of real homogeneous polynomials that is also closed under linear changes of variable. Non-trivial blenders only occur in even degree. Examples include the cones of psd forms, sos forms, convex forms and…

Number Theory · Mathematics 2011-02-15 Bruce Reznick

BlenderProc is a modular procedural pipeline, which helps in generating real looking images for the training of convolutional neural networks. These can be used in a variety of use cases including segmentation, depth, normal and pose…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Maximilian Denninger , Martin Sundermeyer , Dominik Winkelbauer , Youssef Zidan , Dmitry Olefir , Mohamad Elbadrawy , Ahsan Lodhi , Harinandan Katam

The transformer is a neural network component that can be used to learn useful representations of sequences or sets of data-points. The transformer has driven recent advances in natural language processing, computer vision, and…

Machine Learning · Computer Science 2026-01-21 Richard E. Turner

High-quality visualizations are an essential part of robotics research, enabling clear communication of results through figures, animations, and demonstration videos. While Blender is a powerful and freely available 3D graphics platform,…

Robotics · Computer Science 2026-01-01 Peter Messina , Daniel Rakita

A descriptive approach for automatic generation of visual blends is presented. The implemented system, the Blender, is composed of two components: the Mapper and the Visual Blender. The approach uses structured visual representations along…

Artificial Intelligence · Computer Science 2019-02-20 João M. Cunha , João Gonçalves , Pedro Martins , Penousal Machado , Amílcar Cardoso

Manifold learning is an emerging research domain of machine learning. In this work, we give an introduction into manifold learning and how it is employed for important application fields in multimedia.

Multimedia · Computer Science 2023-10-23 Hannes Fassold

We present a characterisation of blenders based on mapping properties of certain sets of curves that can be rigorously verified by computer-assisted methods. We develop an algorithm to construct these sets of curves that requires only a…

Dynamical Systems · Mathematics 2026-03-30 Andy Hammerlindl , Natalia McAlister , Warwick Tucker

Blenders are special hyperbolic sets used to produce various robust dynamical phenomena which appear fragile at first glance. We prove for $C^r$ diffeomorphisms ($r=2,\dots,\infty,\omega$) that blenders naturally exist (without…

Dynamical Systems · Mathematics 2024-03-26 Dongchen Li

Mechanical learning is a computing system that is based on a set of simple and fixed rules, and can learn from incoming data. A learning machine is a system that realizes mechanical learning. Importantly, we emphasis that it is based on a…

Artificial Intelligence · Computer Science 2016-02-02 Chuyu Xiong

We present a characterisation of a blender based on the topological alignment of certain sets in phase space in combination with cone conditions. Importantly, the required conditions can be verified by checking properties of a single…

Dynamical Systems · Mathematics 2024-10-15 Maciej J. Capiński , Bernd Krauskopf , Hinke M. Osinga , Piotr Zgliczyński

A practical guide for university academics who need to create learning materials that support flexible delivery methods. Examples from the Computer Science domain are used to illustrate innovative approaches to engaging students with online…

Computers and Society · Computer Science 2020-06-09 Richard Hill

We regard explanations as a blending of the input sample and the model's output and offer a few definitions that capture various desired properties of the function that generates these explanations. We study the links between these…

Machine Learning · Computer Science 2020-01-16 Lior Wolf , Tomer Galanti , Tamir Hazan

A "blendstring" is a piecewise polynomial interpolant with high-degree two-point Hermite interpolational polynomials on each piece, analogous to a cubic spline. Blendstrings are smoother and can be more accurate than cubic splines, and can…

Numerical Analysis · Mathematics 2023-05-19 Robert M. Corless

Heterodimensional cycles are heteroclinic cycles that connect periodic orbits whose unstable manifolds have different dimensions. This is a source of nonhyperbolic dynamics and unstable dimension variability. For smooth invertible maps…

Dynamical Systems · Mathematics 2023-08-31 Paul Glendinning

A workflow describes the entirety of processing steps in an analysis, such as employed in many fields of physics. Workflow management makes the dependencies between individual steps of a workflow and their computational requirements…

Data Analysis, Statistics and Probability · Physics 2023-09-15 Caspar Schmitt , Boyang Yu , Thomas Kuhr

The research objective is to design a blended learning of system programming for software engineering bachelors. Under blended learning we understand the way of implementing the content of the training, which integrates classroom and…

Computers and Society · Computer Science 2018-08-07 Andrii Striuk

A framed surface is a smooth surface in the Euclidean space with a moving frame. By using the moving frame, we can define Bertrand framed surfaces as the same idea as Bertrand framed curves. Then we find the caustics and involutes as…

Differential Geometry · Mathematics 2025-05-08 Nozomi Nakatsuyama , Masatomo Takahashi

Astronomical data take on a multitude of forms -- catalogs, data cubes, images, and simulations. The availability of software for rendering high-quality three-dimensional graphics lends itself to the paradigm of exploring the incredible…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Brian R. Kent

A simple mechanical device is introduced, the parallelometer, that can be used to measure curvatures of surfaces. The device can be used as a practical illustration of parallel transport of a vector and to study Berry phase shift when it is…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alberto G. Rojo , David Garfinkle , Salvador Gil

Dynamical systems are a broad class of mathematical tools used to describe the evolution of physical and computational processes. Traditionally these processes model changing entities in a static world. Picture a ball rolling on an empty…

Category Theory · Mathematics 2020-07-30 Sophie Libkind
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