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Harvard University

Structure in Motion - Geometric Insights in Protein Folding, Robot Kinematics, and Auxetic Materials

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Explore geometric insights on protein folding, robot kinematics, and auxetic materials. Discover analogies and structural characteristics in this presentation by mathematics and computer science professors Borcea and Streinu.
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22 Lesons
58 minutes
On-Demand
Free-Video
NPTEL

Computational Geometry

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Explore fundamental algorithms and data structures for solving geometric problems, including convex hulls, Voronoi diagrams, and range searching, with applications in various fields.
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40 Lesons
1 day 13 hours
On-Demand
Free-Video
Santa Fe Institute

The Geometry of the Cosmic Web and Primordial Information Flow

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Explores networks with Voronoi-based geometries, including cosmic web and spiderwebs. Discusses primordial information flow in cosmic web formation and its implications for structure determinism at different scales.
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1 Lesons
52 minutes
On-Demand
Free-Video
NPTEL

Fundamental Algorithms - Design and Analysis

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This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems.
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20 Lesons
10 hours
On-Demand
Free-Video
METUopencouseware

Computational Geometry

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Explore fundamental concepts and advanced techniques in computational geometry through comprehensive lectures, covering various algorithms and applications in spatial data analysis.
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29 Lesons
23 hours
On-Demand
Free-Video
Simons Institute

Generalization in Diffusion Models Arises from Geometry-Adaptive Harmonic Representations

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Uncover the geometric foundations of diffusion models' generalization capabilities through adaptive harmonic representations in this insightful exploration.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Coding Train

Processing Java Library - Starting Computational Geometry Challenges

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Explore Processing Java library creation and computational geometry challenges in this live coding session, featuring community contributions and a gift wrapping algorithm implementation.
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13 Lesons
3 hours 24 minutes
On-Demand
Free-Video
TEDx

Las matemáticas como compañeras de viaje

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Descubre cómo el sacrificio, esfuerzo y constancia pueden llevarte a alcanzar tus metas a través de las experiencias personales de una destacada matemática y profesora universitaria.
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1 Lesons
18 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 16

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Explore sistemas gráficos 3D com o Prof. Luiz Velho nesta aula avançada do programa de mestrado, abordando conceitos e técnicas essenciais para o desenvolvimento de gráficos tridimensionais.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 15

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Explore avançados sistemas gráficos 3D em aula de mestrado, abordando técnicas e conceitos essenciais para desenvolvimento de aplicações visuais complexas.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 14

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Explore sistemas gráficos 3D em aula de mestrado, abordando conceitos avançados e aplicações práticas na computação gráfica moderna.
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1 Lesons
33 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Sistemas Gráficos 3D - Aula 13

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Explore sistemas gráficos 3D com o Prof. Luiz Velho em aula avançada de mestrado. Aprofunde conhecimentos em computação gráfica e visualização tridimensional.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 11

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Explore sistemas gráficos 3D com o Prof. Luiz Velho nesta aula avançada do programa de mestrado, abordando conceitos e técnicas essenciais para o desenvolvimento de gráficos tridimensionais.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 09

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Explore sistemas gráficos 3D com o Prof. Luiz Velho nesta aula do programa de mestrado, abordando conceitos avançados e aplicações práticas na área.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Programa de Mestrado: Sistemas Gráficos 3D - Aula 02

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Explore sistemas gráficos 3D com o Prof. Luiz Velho em aula avançada do programa de mestrado, abordando conceitos e técnicas fundamentais para modelagem e renderização tridimensional.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Banach Center

Computing Growth Functions of Periodic Tessellation

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Odkryj metody obliczania funkcji wzrostu dla okresowych teselacji, zgłębiając zaawansowane koncepcje matematyczne i ich zastosowania.
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1 Lesons
22 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

An Implicit Formulation for Incorporating Different Priors into a Deformation Model

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Explore an implicit formulation for incorporating diverse priors into deformation models, enhancing geometric analysis and shape modeling techniques.
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1 Lesons
38 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Level Set Shape Optimization on Aggregated Polytopic Meshes

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Explore level set shape optimization using polytopic meshes and Discontinuous Galerkin methods for improved boundary tracking and computational efficiency in structural optimization.
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1 Lesons
26 minutes
On-Demand
Free-Video
Inside Livermore Lab

Rodin: Density and Topology Optimization Framework - MFEM Workshop 2022

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Explore Rodin, a C++17 framework for shape, density, and topology optimization. Learn its functionalities, from refining shapes to solving variational problems in scientific simulations.
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16 Lesons
22 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Geometric and Topological Data Analysis of Enzyme Kinetics

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Explore geometric and topological data analysis techniques applied to enzyme kinetics, focusing on ERK molecular dynamics and its implications for cancer and developmental defects.
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10 Lesons
24 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Geometry and Topology of Periodic Point Sets, for Example Crystals

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Explore geometric and topological tools for characterizing crystalline materials, including Brillouin zones and persistent homology, and discuss challenges in defining persistent homology for periodic point sets.
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25 Lesons
53 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Swap, Shift and Trim to Edge Collapse a Flag Filtration

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Exploring efficient algorithms for reducing flag filtrations in persistent homology, with focus on edge collapse techniques and their applications in computational topology.
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1 Lesons
44 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Universes as Bigdata- From Geometry, to Physics, to Machine-Learning

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Explore the intersection of string theory, geometry, and machine learning in physics, examining how AI aids mathematical research across various fields.
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1 Lesons
58 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Julien Tierny - Principal Geodesic Analysis of Merge Trees and Persistence Diagrams

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Computational framework for Principal Geodesic Analysis of merge trees, adapting PCA to Wasserstein metric space. Efficient algorithm for data reduction and dimensionality reduction in topological data analysis.
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1 Lesons
55 minutes
On-Demand
Free-Video
GAIA

Teaching Neural Networks a Sense of Geometry

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Explore Topological Data Analysis (TDA) and its intersection with machine learning to enhance neural networks' geometric reasoning abilities across various applications.
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1 Lesons
30 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Computing Minimal Persistent Cycles - Polynomial and Hard Cases

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Explores computing minimal persistent cycles in algebraic topology, discussing polynomial and NP-hard cases, and presenting algorithms for weak pseudomanifolds with applications to scientific data analysis.
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12 Lesons
55 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Vanessa Robins - The Extended Persistent Homology Transform for Manifolds with Boundary

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Explore extended persistent homology transform for shape analysis, offering finite distances between shapes with different Betti numbers and applications in shape clustering.
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9 Lesons
59 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Ulrich Bauer - Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Rips Filtrations

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Explore Gromov hyperbolicity, geodesic defect, and apparent pairs in Rips filtrations, extending Rips' results on contractibility and examining computational implications for persistent homology.
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12 Lesons
54 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Computing Optimal Homotopies

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Explore curve similarity measures and homotopy-based deformations in GIS, medical imaging, and graphics. Survey geometric and topological metrics, algorithms, and open questions in optimal homotopy computation.
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1 Lesons
59 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Alpha Magnitude

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Explores alpha magnitude, a new metric space invariant, its properties, and potential for estimating fractal dimensions in real-world datasets, offering computational advantages over existing methods.
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1 Lesons
40 minutes
On-Demand
Free-Video
Wolfram

Mathematical Games - Polygon Dissections - Episode 8

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Explore mathematical games and puzzles involving polygon dissections with Ed Pegg Jr. Discover fascinating geometric concepts and their applications in this engaging presentation.
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2 Lesons
50 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Hyperbolic Voronoi Percolation

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Explore hyperbolic Voronoi percolation in this mathematical conference talk. Gain insights into non-Euclidean geometry and probability theory from expert Tobias Müller.
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1 Lesons
50 minutes
On-Demand
Free-Video
Conference GSI

Toric Fiber Products in Geometric Modeling

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Explore toric fiber products and their applications in geometric modeling, enhancing your understanding of advanced mathematical concepts in computer graphics.
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1 Lesons
18 minutes
On-Demand
Free-Video
Conference GSI

On Canonical Parameterizations of 2D Shapes

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Explore canonical parameterizations of 2D shapes, delving into mathematical concepts and applications in geometry and computer graphics.
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1 Lesons
24 minutes
On-Demand
Free-Video
Conference GSI

Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve

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Explore advanced techniques for computing real algebraic plane curve topology without relying on general position assumptions. Gain insights into innovative mathematical approaches.
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1 Lesons
21 minutes
On-Demand
Free-Video
BIMSA

Two Geometric Applications of the Linear Algebra Method

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Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
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1 Lesons
1 hour
On-Demand
Free-Video
ACM SIGPLAN

Maximum Consensus Floating Point Solutions for Infeasible Low-Dimensional Linear Programs - Lecture

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Explore a novel method for solving infeasible low-dimensional linear programs efficiently, using convex hull as an intermediate representation to improve performance in creating correctly rounded math libraries.
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1 Lesons
18 minutes
On-Demand
Free-Video
Mathemaniac

How Physics Solves Plateau's Problem - Applications in Math and 3D Graphics

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Explore how physics and mean curvature flow solve Plateau's problem, with applications in mathematics, soap films, and 3D graphics. Discover connections between minimal surfaces and active research areas.
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1 Lesons
18 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Random Separating Hyperplane Theorem and Learning Polytopes

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Delve into advanced mathematical concepts of hyperplane theorem, polytope learning, and optimization oracles with applications in machine learning's hidden variable problems.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Insights into Mathematics

The Midpoint Hierarchy and Dynamics on a de Casteljau Bezier Polygon - Algebraic Calculus and dCB Curves 10

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Explores midpoint hierarchy and particle dynamics on de Casteljau Bezier curves, focusing on t=1/2 value and quartic curves. Introduces discrete motion concepts like velocity and acceleration for control points.
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1 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

De Casteljau's Algorithm and Splitting de Casteljau-Bézier Curves - Algebraic Calculus 2

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Explore de Casteljau's algorithm for computing and splitting polynomially parametrized curves, with practical applications and theoretical insights using GeoGebra visualizations.
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1 Lesons
28 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Reconstructing Manifolds by Weighted L_1-Norm Minimization

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Innovative approach to shape reconstruction using weighted l_1-norm minimization, transforming triangulation into a convex optimization problem for smooth orientable manifolds in high-dimensional spaces.
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1 Lesons
51 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Curvature Variation Based Sampling for Delaunay Triangulations of Manifolds

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Explore adaptive sampling for Delaunay triangulations of Riemannian manifolds, focusing on curvature variation and quality bounds for successful triangulation. Learn about geometric realizations and manifold triangulation techniques.
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10 Lesons
50 minutes
On-Demand
Free-Video
Pinecone

Graph-Based Approximate Nearest Neighbors and HNSW

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Explore graph-based algorithms for efficient nearest neighbor search, focusing on HNSW. Learn advantages, construction, and practical applications in large-scale search solutions.
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21 Lesons
59 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Skeletonization Algorithms With Theoretical Guarantees for Point Clouds

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Explore skeletonization algorithms for point clouds, including Mapper, alpha-Reeb graphs, and Homologically Persistent Skeleton. Compare their performance on synthetic and real data sets.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Paul G. Allen School

Algorithmic Motion Planning Meets Min-Invasive Robotic Surgery

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Explores algorithmic motion planning for minimally-invasive surgical robots, focusing on efficient planning methods with provable guarantees to enhance safety and effectiveness in medical procedures.
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26 Lesons
57 minutes
On-Demand
Free-Video
Reducible

How Computers Draw Weird Shapes - Marching Squares Algorithm

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Explore the fascinating world of computer graphics, focusing on the Marching Squares algorithm for rendering complex shapes like metaballs. Learn about implicit functions, optimization techniques, and 3D extensions.
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13 Lesons
28 minutes
On-Demand
Free-Video
IEEE

Near Linear Time Approximation Schemes for Clustering in Doubling Metrics

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Explore efficient approximation algorithms for clustering problems in doubling metrics, focusing on near-linear time solutions and their theoretical foundations.
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1 Lesons
19 minutes
On-Demand
Free-Video
IEEE

Truly Optimal Euclidean Spanners

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Explore optimal Euclidean spanners, their construction, and applications in computational geometry and network design. Gain insights from experts Hung Le and Shay Solomon.
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1 Lesons
23 minutes
On-Demand
Free-Video
IEEE

Strings and Geometry in Computer Science - Session 6C

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Explore advanced concepts in strings and geometry, focusing on cutting-edge research and applications in computer science and mathematics.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
media.ccc.de

A Geometry Engine from First Principles - Building CAM Software for 3D Printing

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Explore the journey of building a geometry engine for 3D printing from scratch, delving into unique mathematical approaches and innovative algorithms while avoiding existing geometry kernels.
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1 Lesons
46 minutes
On-Demand
Free-Video
Simons Institute

Tight Bounds for Volumetric Spanners in All Norms

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Explores optimal bounds for volumetric spanners across all norms, discussing applications in optimization and matrix approximation. Presents a local search method for construction and its implications for coresets in MVEE problems.
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1 Lesons
37 minutes
On-Demand
Free-Video
Sebastian Lague

Optimizing a Ray Tracer by Building a Bounding Volume Hierarchy (BVH)

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Optimize ray tracing performance by building a Bounding Volume Hierarchy (BVH). Learn techniques like GPU-friendly data structures, iterative traversal, and surface area heuristics to render complex scenes efficiently.
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16 Lesons
52 minutes
On-Demand
Free-Video
Coding Train

Weighted Voronoi Stippling Algorithm Implementation - Coding Challenge

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Learn to implement weighted Voronoi stippling in p5.js, exploring Delaunay triangulation, Voronoi diagrams, and Lloyd's algorithm to create stunning dot-based images with artistic techniques.
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17 Lesons
29 minutes
On-Demand
Free-Video
Simons Institute

Coresets and Their Applications to Design Sublinear Algorithms

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Explore coresets and their role in designing efficient sublinear algorithms, enhancing computational performance for large-scale data analysis and machine learning tasks.
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1 Lesons
52 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Extension Complexity of Random Polytopes

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Explores extension complexity of random polytopes, discussing results for fixed-dimension convex hulls of random points on unit sphere or ball. Joint work with Kwan and Zhao.
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1 Lesons
46 minutes
On-Demand
Free-Video
Simons Institute

O(log s)-Approximate Nearest Neighbor Search for Earth Mover's Distance

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Explore advancements in nearest neighbor search for Earth Mover's Distance, improving approximation to Õ(log s) with sublinear query time using data-dependent LSH functions and tree embedding techniques.
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1 Lesons
37 minutes
On-Demand
Free-Video
Simons Institute

Massively Parallel Algorithms for High-Dimensional Euclidean Minimum Spanning Tree

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Efficient distributed algorithms for clustering high-dimensional data using Euclidean Minimum Spanning Tree, achieving constant factor approximation in O~(loglogn) rounds of MPC model.
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1 Lesons
28 minutes
On-Demand
Free-Video
IEEE

Faster Polytope Rounding, Sampling, and Volume Computation via a Sublinear Ball Walk

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Explore advanced algorithms for efficient polytope analysis, including rounding, sampling, and volume computation using innovative Markov chain techniques.
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14 Lesons
18 minutes
On-Demand
Free-Video
CppNow

Sweep-Line Algorithm for Voronoi Diagrams

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Efficient algorithm for computing Voronoi diagrams of points and segments, with applications in VLSI CAD and manufacturing. Covers numerical robustness, lazy-exact arithmetic, and reliable results for integer inputs.
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1 Lesons
58 minutes
On-Demand
Free-Video
CppNow

A Generic Binary Tree - Why Grow Your Own?

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Explore the design and implementation of a generic binary tree for Boost.Graph, discussing trade-offs, storage options, and performance comparisons while drawing insights from classic computer science texts.
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17 Lesons
1 hour 33 minutes
On-Demand
Free-Video
CppNow

STL Algorithms as Expressions

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Explore advanced C++ techniques using Expression Templates for flexible algorithm customization, enhancing STL range algorithms and generic programming beyond traditional approaches.
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25 Lesons
1 hour 26 minutes
On-Demand
Free-Video
NDC Conferences

Seven Things Every Python Programmer Should Know

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Discover essential Python techniques for reliable, efficient, and maintainable code. Explore idiomatic practices, avoid common pitfalls, and enhance your programming skills.
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19 Lesons
49 minutes
On-Demand
Free-Video
Conference GSI

Convex Hulls of Curves, Volumes, and Signatures

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Explore convex hulls of curves, volumes, and signatures in geometry, gaining insights into their mathematical properties and applications.
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1 Lesons
16 minutes
On-Demand
Free-Video
The Julia Programming Language

GeometryOps.jl - Building a Comprehensive Native Geometry Package

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Unifying Julia's geometry ecosystem, GeometryOps.jl offers native, high-performance algorithms for spatial data, compatible with GeoInterface.jl and outperforming LibGEOS.jl for implemented operations.
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1 Lesons
11 minutes
On-Demand
Free-Video
Wolfram

Modeling Shadows of Generated Trees

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Explore 2D and 3D vector techniques for generating trees and calculating shadows through angled vector projections in this engaging podcast episode.
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1 Lesons
29 minutes
On-Demand
Free-Video
Wolfram

Automated Planar Geometry in Wolfram Language

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Explore updates to Wolfram Language's automated geometric functions, including GeometricScene, RandomInstance, and FindGeometricConjectures, plus future developments.
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1 Lesons
29 minutes
On-Demand
Free-Video
Conference GSI

Geometric Modelling of Micro-Structured Material

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Explore advanced techniques for geometric modeling of micro-structured materials, enhancing understanding of complex material properties and behaviors.
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1 Lesons
24 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Computational Optimal Transport: Mature Tools and Open Problems

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Explore computational optimal transport's advancements, applications in 3D shape analysis, and open challenges. Gain insights into state-of-the-art tools for efficient distribution analysis and geometric data processing.
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1 Lesons
56 minutes
On-Demand
Free-Video
HUJI Machine Learning Club

Coresets and Decision Trees for Machine Learning Optimization

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Discover how coresets can optimize decision tree algorithms, boost computation speed by 10x, and maintain accuracy in machine learning applications through geometric partitioning techniques.
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1 Lesons
59 minutes
On-Demand
Free-Video
UofU Data Science

Clustering: Clusterability, Voronoi Diagrams, and Assignment-based Clustering - Lecture 22

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Explore clustering fundamentals through Voronoi diagrams and assignment-based techniques while learning to assess data clusterability and implement effective grouping strategies.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Recent Progress on Euclidean Spanners

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Explore recent advancements in Euclidean spanners, including sparse, light, fault-tolerant, and dynamic variants, while discovering outstanding open problems in the field.
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1 Lesons
36 minutes
On-Demand
Free-Video
Simons Institute

A Quasi-Monte Carlo Algorithm for Smooth Kernel Evaluation

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Explore a novel data structure for density queries, combining discrepancy theory and LSH to build sparse coresets and enhance smooth kernel evaluation algorithms.
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1 Lesons
42 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Online k-means Clustering on Arbitrary Data Streams - Lecture

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Explore online k-means clustering for arbitrary data streams, focusing on a novel algorithm with polynomial space and time complexity and provable guarantees without input assumptions.
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16 Lesons
37 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Kirk Lecture: A Recent Technology for Scientific Computing - The Virtual Element Method

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Explore the Virtual Element Method, a generalization of FEM for solving PDEs using polygonal/polyhedral meshes, offering improved accuracy, efficiency, and flexibility in scientific computing.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Complexity and the Hat

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Explore complexity through mathematical concepts, focusing on unique perspectives and innovative approaches in discrete mathematics and computer science.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Unfinished Epic of Discrete Tomography

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Delve into the mathematical foundations of discrete tomography through an engaging exploration of its ongoing challenges and theoretical developments in modern computational geometry.
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1 Lesons
29 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Finding Complex Patterns in Trajectory Data via Geometric Set Cover

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Explore geometric set cover techniques for analyzing complex trajectory patterns, focusing on mathematical approaches to pattern recognition and data analysis in spatial movement.
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1 Lesons
31 minutes
On-Demand
Free-Video
Inside Livermore Lab

Robust Containment Queries over Collections of Parametric Curves via Generalized Winding Numbers

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Discover advanced geometric containment query techniques for 2D regions using rational Bezier curves and generalized winding numbers, enabling efficient multiphysics simulations without expensive refinement processes.
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1 Lesons
26 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

Facilitating the Parametric Definition of Geometric Properties in Programming-Based CAD

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Explore innovative approaches to define geometric properties parametrically in programming-based CAD systems, enhancing design workflow automation and flexibility.
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1 Lesons
15 minutes
On-Demand
Free-Video
Wolfram

Exploring Wolfram Language 13.3 - New Features and Enhancements

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Explore new features in Wolfram Language 13.3, including LLM integration, enhanced computational geometry, AR/VR publishing, generative AI for images, and improved parallel computation and external library access.
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29 Lesons
2 hours 56 minutes
On-Demand
Free-Video