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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…

数论 · 数学 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…

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…

机器学习 · 计算机科学 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,…

机器人学 · 计算机科学 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…

人工智能 · 计算机科学 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.

多媒体 · 计算机科学 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…

动力系统 · 数学 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…

动力系统 · 数学 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…

人工智能 · 计算机科学 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…

动力系统 · 数学 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…

计算机与社会 · 计算机科学 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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

动力系统 · 数学 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…

数据分析、统计与概率 · 物理学 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…

计算机与社会 · 计算机科学 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…

微分几何 · 数学 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…

天体物理仪器与方法 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

范畴论 · 数学 2020-07-30 Sophie Libkind
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