Courses

Explore a cutting-edge lecture on the application of quantitative operator theory to estimate filling radius in relation to positive scalar curvature and asymptotic dimension. Delve into the groundbreaking research presented by Guoliang Yu at the ICBS2024 conference, which solves a large-scale version of Gromov's conjecture. Learn about the collaborative work with Jinming Wang, Bo Zhu, and Zhizhang Xie as they uncover new connections between geometry, topology, and operator theory. Gain insights into advanced mathematical concepts and their implications for understanding the structure of spaces over the course of this hour-long presentation.

Dive into the world of Kubernetes Operators and the Operator Framework in this comprehensive 1 hour 50 minute tutorial presented by Matt Dorn and Michael Hrivnak from Red Hat. Gain a solid understanding of these powerful tools for automating and managing complex applications on Kubernetes clusters. Learn how to leverage Operators to streamline deployment, scaling, and maintenance of containerized applications, while exploring the Operator Framework's capabilities for developing and managing custom Operators efficiently.

Watch a detailed introduction to the Grob Model B3 Band Filing Machine as Keith Rucker from VintageMachinery.org showcases this new addition to his workshop. Learn about the features and capabilities of this specialized vintage machinery over the 22-minute video. The presentation includes information on how to support VintageMachinery.org through Patreon or one-time PayPal donations, and highlights their sponsor American Rotary Phase Converters, which offers a 10% discount on select converters with the code "Vintage10".

Explore the fundamentals of the Operator SDK in this 48-minute tutorial from Rawkode Academy. Learn about the Operator Framework, an open-source toolkit for managing Kubernetes native applications, and discover how the Operator SDK simplifies the process of building, testing, and packaging Operators. Dive into creating a new operator, adding custom resource definitions, implementing business logic, and deploying operators on a Kubernetes cluster. Gain insights into high-level APIs, code generation tools, and extensions for common Operator use cases. Follow along as the instructor demonstrates practical examples and shares valuable resources for further learning.

Learn essential programming concepts including bitwise operators, for loops, operator precedence, associativity, and variable scoping in this comprehensive video tutorial. Explore practical applications through LeetCode problem-solving sessions. Gain hands-on experience with bitwise AND, OR, NOT, and XOR operations, as well as left and right shift operators. Master for loop syntax and usage, tackling problems like calculating sums, generating Fibonacci sequences, and identifying prime numbers. Understand variable scope intricacies and operator precedence rules to write more efficient code. Apply newly acquired knowledge to solve two LeetCode challenges, reinforcing learning through real-world coding scenarios.

Explore the Fourier Neural Operator (FNO) in this 18-minute video lecture on Physics Informed Machine Learning. Delve into concepts such as operators as images, Fourier as convolution, and zero-shot super resolution. Examine the generalization of neural operators, conditions and operator kernels, and mesh invariance. Understand the advantages of neural operators over other methods and discover their applications in Green's Function and Laplace Neural Operators. Produced at the University of Washington with funding support from the Boeing Company, this comprehensive overview provides valuable insights into advanced machine learning techniques for physics-based problems.

Explore the intersection of machine learning operations (MLOps) and software operators in this 14-minute conference talk from Operator Day Europe 2023. Discover how MLOps, a set of practices for operating ML workloads, addresses challenges in machine learning deployment and management. Learn about the logical connection between software operators and implementing MLOps best practices. Gain insights into how these operators can improve the performance of ML workloads and tackle issues such as infrastructure costs. Delve into the world of Charmed Operators and their role in enhancing MLOps practices, with links provided for further exploration of Juju and the Charmed Operator ecosystem.

Explore the concept of Deep Operator Networks (DeepONet) in the context of Physics Informed Machine Learning through this 17-minute video lecture. Delve into the central idea behind DeepONets, understand the solution operator, and examine a practical example application with results. Learn about this innovative approach to machine learning in physics, produced at the University of Washington with funding support from the Boeing Company.

Explore a comprehensive session from Operator Day Europe 2023 focusing on data management in Kubernetes using MySQL Charmed Operators. Delve into the essential properties of robust database operators on Kubernetes, demonstrated through practical examples with MySQL. Learn about implementing high availability through MySQL group replication and MySQL Router, enhancing security with encryption in transit via TLS operator integration, and mastering backup and restore processes using Percona's XtraBackup tool. Gain valuable insights into Charmed Operators, including an introduction to Juju, accessing operator collections on Charmhub.io, understanding the Juju Charmed Operator Lifecycle Manager, and utilizing the Juju Charmed Operator SDK. Discover how to leverage these tools and technologies to optimize your Kubernetes data management strategies.

Explore the mathematical concept of nearly geodesic surfaces and their filling properties in this 58-minute conference talk from BIMSA's ICBS2025 series, where advanced geometric analysis techniques are applied to understand how surfaces that approximate geodesic behavior maintain filling characteristics in various mathematical contexts.

Explore the world of decompilers and their role in reverse engineering during this 52-minute conference talk from the Hack In The Box Security Conference. Dive into the basics of decompilation, compare popular tools, and focus on the industry-standard Hex-Rays Decompiler. Learn about FIDL, a newly released library that simplifies the decompiler API, and witness practical demonstrations of its usage. Gain insights from experienced security professionals as they discuss the challenges of reversing binaries across different architectures and the growing importance of decompilers in the field. Discover how these tools can assist in malware analysis, vulnerability research, and low-level software engineering.

Explore exponential expression rates for neural operator approximation to the solution operator of certain Forward-Backward Stochastic Differential Equations (FBSDEs) in this 25-minute conference talk by Anastasis Kratsios from McMaster University. Delivered at the Eastern Conference on Mathematical Finance, hosted by the Fields Institute on September 26th, 2024, delve into advanced mathematical concepts at the intersection of neural networks, stochastic processes, and financial modeling. Gain insights into cutting-edge research that bridges machine learning techniques with complex mathematical finance problems, potentially revolutionizing approaches to solving FBSDEs in various applications.

Explore Koopman operator theory and its applications in machine learning for dynamical systems in this lecture by Igor Mezic from the University of California. Delivered as part of the Third Symposium on Machine Learning and Dynamical Systems at the Fields Institute, delve into advanced concepts at the intersection of operator theory and data-driven modeling. Gain insights into how Koopman operators can enhance understanding and prediction of complex dynamical systems, with potential applications across various scientific and engineering domains.

Explore the cutting-edge application of Koopman Operator Theory (KOT) to machine learning for dynamical systems in this informative lecture. Delve into the challenges faced by traditional machine learning approaches when dealing with complex process dynamics, and discover how KOT offers a solution inspired by human intelligence. Learn about the mathematical foundations of KOT and its ability to create generative, predictive, and context-aware models adaptable to feedback control applications. Gain insights into computational methods that enable efficient processing, and examine real-world applications in fluid dynamics, power grid dynamics, network security, soft robotics, and game dynamics. This talk, presented by Igor Mezic from the University of California, Santa Barbara, provides a comprehensive overview of KOT-based machine learning and its potential to revolutionize our understanding and control of complex dynamical systems.

Explore the process of building state-machine-based Operators in Rust using Krator in this conference talk. Learn about the development of a simple Operator with Krator through a live demonstration, and delve into the API's design decisions and their alignment with Kubernetes philosophies. Discover new Operator functionalities introduced beyond Krustlet's requirements, and gain insights into the Krator crate's roadmap. Understand how state machines can be leveraged to enhance Operator development in Rust, with a focus on the Pod lifecycle implementation and its broader applications in Kubernetes ecosystems.

Explore the new Point Operators (POPs) family in TouchDesigner through this comprehensive 23-minute video tutorial. Dive into the core concepts of this GPU-based operator family, designed for creating and modifying 3D data. Learn about different types of 3D data POPs can contain, supported primitive types, and their applications in 3D rendering and instancing. Discover the performance benefits POPs offer compared to the SOP family. Gain insights into POP attributes, popViewer, point, vertex, and primitive lists, as well as POP generators and filters. Note that POPs are currently in alpha stage, so information may change before the stable release. Follow along with timestamps for easy navigation through specific topics, from basic concepts to real-time performance considerations.

Explore a panel discussion on the evolving landscape of mid-market financing in the post-financial crisis era. Delve into the challenges faced by middle-market companies in securing funding as banks become more cautious, while alternative lenders step in to fill the gap. Examine the impact of regulatory changes, monetary policies, and market volatility on lending practices. Gain insights from industry experts on the rise of direct lending, the role of non-bank lenders, and the potential long-term shifts in the financing ecosystem. Analyze the implications for job creation and economic growth as various entities compete to meet the financing needs of mid-market firms. Consider the perspectives of traditional banks, investment firms, and alternative lenders as they navigate this changing financial landscape.

Explore the introduction of TOSA (Tensor Operator Set Architecture), a standardized specification for machine learning operators, in this 44-minute tech talk by Arm Software Developers. Learn about the challenges in the rapidly evolving ML world, including inconsistencies across frameworks and technologies. Discover how TOSA aims to provide standardization, ensuring consistent results, enabling device portability, and facilitating cloud-first development for edge devices. Gain insights into the TOSA specification, its benefits for application developers, and how to implement it in your solutions. The talk includes a Q&A session and is part of Arm's bi-weekly AI Virtual Tech Talk Series.

Explore the concept of "The Operator is the Model" in this 44-minute conference talk by Igor Mezic from UC Santa Barbara, delivered at the Fourth Symposium on Machine Learning and Dynamical Systems. Delve into the intersection of machine learning and dynamical systems, gaining insights from a leading expert in the field. Discover how operators play a crucial role in modeling complex systems and their potential applications in various scientific disciplines.

Explore the fascinating world of submarine-channel meandering and salt-basin filling in this comprehensive 1-hour 20-minute lecture. Delve into the evolution of submarine channels and their sediment dispersal patterns, comparing them to meandering rivers on land. Examine the challenges of underwater analysis and learn how 3D seismic-reflection data is used to interpret massive submarine-channel systems offshore Brazil. Discover how salt domes influence channel evolution and migration patterns, and understand the similarities and differences between submarine channels and rivers. Investigate case studies, including the Amazon basin, and analyze various channel features, seafloor characteristics, and basin-filling processes. Gain insights into the complex interplay between submarine channels and salt tectonics, and how these systems evolve over time.