Interpolation and Velocity - Math for Game Devs Part 4
Explore interpolation, velocity, and rotations in game development math. Learn about lerp, bezier curves, and solve practical assignments on polygons, FOV, coils, and inventory systems.
Perceptual Organization From a Bayesian Point of View
Explore Bayesian approach to perceptual organization, examining how the visual system groups images into distinct units through inverse inference and mixture estimation techniques.
Machine Learned Regularisation for Solving Inverse Problems
Machine learned regularization techniques for solving inverse problems, focusing on image reconstruction from tomographic and blurred measurements. Explores data-driven approaches and discusses open mathematical challenges.
Learning How to Break Symmetry With Symmetry-Preserving Neural Networks - IPAM at UCLA
Explore symmetry-preserving neural networks for data efficiency and generalization, learning symmetry-breaking information, and predicting structural distortions in crystalline materials.
Mesoscale Reconstruction of Images and Networks Using Tensor Decomposition
Explore mesoscale reconstruction of images and networks using tensor decomposition, focusing on a unified framework, error bounds, and online CP-dictionary learning for multi-modal datasets.
Tropical Geometry of Phylogenetic Tree Spaces
Explore tropical geometry's application to phylogenetic tree spaces, examining BHV space, tropical Grassmannians, and their implications for computational biology and statistics.
Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
Explore geodesic flows on non-positively curved surfaces through Young towers, covering history, results, Jacobi fields, and hyperbolic maps with expert Carlos Matheus.
Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1
Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.
Persistence-Based Skeletonization of Images
Explores algorithms for splitting images into convex polygons using topological persistence, including Convex Constrained Mesh and Persistent Resolution-Independent Mesh for edge detection.
Topology of Artificial Neuron Activations in Deep Learning
Explore the topology of artificial neuron activations in deep learning, from image classification to natural language processing, with insights on convolutional neural networks and transformer-based models.
On Mathematical Modeling in Image Reconstruction and Beyond
Explores connections between wavelet frame-based and PDE-based approaches in image reconstruction, linking to deep learning and computational imaging advancements.
Random Graph Matching with Improved Noise Robustness
Explores a new algorithm for exact matching of correlated Erdos-Renyi graphs, improving noise robustness in graph matching for applications in computer vision and biology.
Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
Explore Young towers for geodesic flows on non-positively curved surfaces with Yakov Pesin. Gain insights into Sinai-Ruelle-Bowen measures and their applications in surface diffeomorphisms.
Unique Equilibrium States for Geodesic Flows in Nonpositive Curvature - Keith Burns
Explore geodesic flows in nonpositive curvature and their unique equilibrium states with mathematician Keith Burns in this advanced mathematics lecture.
Geodesic Flows on Surfaces With Non Positive Curvature That Are Bernoulli - Yuri Lima
Explore geodesic flows on surfaces with non-positive curvature and their Bernoulli properties in this advanced mathematics lecture by Yuri Lima.
Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4
Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.
Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2
Explore geodesic flow dynamics, maximal entropy measures, and Patterson-Sullivan measures on ideal boundaries in surfaces without conjugate points.
Foundations of Deep Learning and AI: Instabilities, Limitations, and Potential
Exploring deep learning's instability, AI limitations, and potential impacts on scientific computing and medical imaging. Compares AI's current state to early 20th-century mathematics, predicting similar foundational challenges.
Artifact Suppression in X-ray CT Images - SIAM-IS Virtual Seminar
Explore X-ray CT imaging, artifact suppression techniques, and recent advancements in metal and scattering artifact reduction for improved medical and industrial applications.
When Two Cameras Meet a Cubic Surface - SIAM SAGA Seminar
Explore the intersection of camera imaging and cubic surfaces in this advanced seminar on multiview geometry, featuring insights into minimal reconstruction problems and their geometric implications.
Probabilistic Numerical Computation - A New Concept?
Explore probabilistic numerics, a new field combining mathematics, statistics, and computer science to quantify uncertainty in numerical methods for complex data analysis and modeling.