Lectures related to Graph database

Graph Processing: Oracle Labs PGX

Covers graph processing with a focus on Oracle Labs PGX, discussing graph analytics, databases, algorithms, and distributed analytics challenges.

Graph Processing: Oracle Labs Insights

Explores the ubiquity of graphs in modern data and analytics, focusing on the shift in organizations' perception of graph technologies.

Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.

Learning from the Interconnected World with Graphs

Explores learning from interconnected data using graphs, covering challenges, GNN design, research landscapes, and democratization of Graph ML.

Concurrent Programming: Theory to Practice

Explores concurrent programming theory and practice, covering system models, cache coherence, and graph processing.

Water Quality Modelling: Equilibrium Phases

Explores equilibrium phases in water quality modelling, illustrating with examples of mineral precipitation and pH adjustment.

Efficient Graph Queries: Memory Constraints

Explores scaling pattern matching in large graphs and optimizing query execution under memory constraints using work-sharing and batch processing.

Stochastic Block Model: Community Detection

Covers the Stochastic Block Model for community detection.

Statistical Analysis of Network Data: Structures and Models

Explores statistical analysis of network data, covering graph structures, models, statistics, and sampling methods.

Solving Parity Games in Practice

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Linear Algebra: Diagonalization

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Cayley Graphs: Properties and Applications

Explores the properties and applications of Cayley graphs in group theory and network analysis.

Linear Algebra: Canonical Basis

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Stein Algorithm: Polynomial Identity Testing

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Convergence & Choice of Finite Element Discretizations

Explores convergence, numerical pathologies, and mesh convergence studies in finite element discretizations.

Numerical Analysis of Incompressible Fluid Flow

Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.

Linear Transformations: Matrices and Kernels

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Data Wrangling with Hadoop

Covers data wrangling techniques using Hadoop, focusing on row versus column-oriented databases, popular storage formats, and HBase-Hive integration.

NoSQL Databases: Origins and Types

Covers the origins and types of NoSQL databases, focusing on MongoDB and CRUD operations.