Moduli Spaces of Morse Functions for Persistence
Exploring Morse functions on surfaces, focusing on decomposition, elementary moves, and embeddings. Insights into persistence barcodes and the inverse problem through nesting posets of level sets.
Danny Ruberman- Diffeomorphism Groups of 4-Manifolds
Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.
The Math Behind Attention Mechanisms
Demystify attention mechanisms in Transformer models through visuals, examples, and mathematical explanations, focusing on embeddings, similarity, and key-query-value matrices.
Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture
Explore embeddings of hyperbolic groups into finitely presented simple groups, addressing the Boone-Higman Conjecture and its implications for group theory and word problems.
Unsupervised Alignment of Graphs and Embeddings: Fundamental Limits and Computational Methods
Explore unsupervised alignment techniques for graphs and embeddings, examining fundamental limits and computational approaches for data analysis and machine learning applications.
High Accuracy Wavefunctions Using Deep-Learning-Based Variational Monte Carlo
Explore deep learning-based variational Monte Carlo for high-accuracy wavefunctions in computational chemistry, featuring novel architecture and improved methods for ground state energy calculations.
Constant Mean Curvature Embeddings and the Fateev Model IQFT
Explore constant mean curvature embeddings and the Fateev model in integrable quantum field theory, focusing on applications in condensed matter physics.
Learning Quantum Mechanics Using Embedding, Symmetric Polynomials and Composition
Explore quantum mechanics through embedding, symmetric polynomials, and composition. Gain insights into molecular dynamics, atomic cluster expansion, and catalysis with practical demonstrations.
Building a Semantic Search App for Music Using Qdrant Cloud
Learn to develop a semantic search application using Qdrant Cloud's Python SDK to efficiently search through thousands of songs across different music genres.
Getting Started with Qdrant - Introduction to Vector Database and Similarity Search
Master vector similarity search using Qdrant to build semantic search and recommendation systems through hands-on practice with sample datasets and practical implementations.
Qdrant Vector Database and Search Engine Implementation in Rust
Dive into vector database technology with Qdrant, exploring its architecture, implementation in Rust, and applications in similarity search, matching, and recommendations systems.
Embeddings and Similarity Search with Qdrant Vector Database
Explore vector embeddings and similarity search concepts through hands-on demonstrations using Qdrant database, with practical examples for implementing efficient search solutions.
Rust Ollama Tutorial - Interfacing with Ollama API Using ollama-rs
Learn to interface with Ollama HTTP API using ollama-rs library in Rust. Covers generation, context handling, chat functionality, and embeddings through hands-on examples and practical coding.
The Rise of Vector Databases - Lessons from the Milvus Community
Explore vector databases, their rise in managing unstructured data, and insights from Milvus. Learn about embeddings, production use cases, challenges, and future developments in this emerging field.
Pinecone Vercel Starter Template and RAG - Live Code Review Part 2
Explore Retrieval Augmented Generation in a production app using TypeScript and Next.js. Learn about document splitting, embedding, context injection, and UI design for improved relevance and auditability.
Live Code Review - Pinecone Semantic Search
Build a semantic search engine with TypeScript, exploring concepts and diving into code. Learn about embeddings, compare search methods, and implement key components like CSV loading and indexing.
The Evolution of Milvus - A Cloud-Native Vector Database
Explore Milvus 2.0, a cloud-native vector database for unstructured data. Learn its architecture, features, and real-world applications in art, security, real estate, and e-commerce.
Python RAG Tutorial - AI for PDFs with Local LLMs
Build a Python RAG app to query PDFs using AI. Learn advanced topics like local execution, vector DB updates, file handling, and response quality testing.
Computational SSD Framework for Unified Semantic Image Retrieval
Discover how to implement computational SSD frameworks for efficient semantic image retrieval using transformer models, unified embedding formats, and intent-based clustering techniques.
Optimizing Text Classification in Construction Data Using FastText and BERT Models
Discover how to optimize text classification for construction tenders using fasttext models and BERT, achieving improved accuracy through category merging and probability thresholds for product and supplier predictions.
ImageBind: A Multi-Modal AI Model for Unified Embedding Space
Explore Meta AI's ImageBind technology and its groundbreaking approach to unified AI learning across six modalities, from technical architecture to practical applications and results.