AI Meets Pure Math: Issue #1
AI Meets Pure Math: Issue #1
Koopman Operators in NLP: Modeling Semantic Drift & Dynamics with Pure Mathematics
About the Book
AI Meets Pure Math: Issue #1
Koopman Operators in NLP
Modeling Semantic Drift & Dynamics with Pure Mathematics
Built for the curious. Loved by the rigorous.
What if you could watch the meaning of words evolve over time, not just guess what they mean today, but forecast where they’re heading tomorrow?
This book introduces a groundbreaking approach at the intersection of Natural Language Processing (NLP) and dynamical systems theory: Koopman Operator Theory. Originally designed to study fluid flows and chaos, this mathematical framework now takes on a new frontier: semantic drift in language.
📘 What’s Inside:
- A gentle yet rigorous introduction to discrete-time dynamics and Koopman lifting
- How to track and forecast semantic evolution using real word/sentence embeddings
- Full Python implementations, including matrix estimation, spectral analysis, and visualizations
- Applications of Koopman models to sentence drift, discourse modeling, forecasting, and interpretability
- Advanced architectures: Koopman autoencoders, latent space dynamics, and future NLP integrations
Whether you're an NLP researcher, applied mathematician, or a curious learner fascinated by how ideas transform, this book will change how you view language, not as static data, but as motion through meaning space.
🔍 Key Topics:
- Semantic Drift Modeling
- Koopman Regression from Embeddings
- PCA/t-SNE Visualization of Meaning Flow
- Spectral Decomposition & Forecasting
- Koopman Autoencoders & Latent Operators
- Real-World Applications + Limitations
✍️ Author Bio:
Satyam Mishra is an AI researcher and mathematical systems designer with over 20 peer-reviewed publications in Q1 SCIE journals and A* conferences. He’s built Koopman-powered NLP tools, published patents on spectral learning and sparse Transformers, and led global research teams from Switzerland to Vietnam. This book is part of his series to revive mathematical elegance in AI.
🎓 Ideal for:
- AI Researchers
- Applied Mathematicians
- NLP Engineers
- Graduate Students
- Curious minds looking for elegant thinking tools
🌐 Follow the Series:
- Medium: satyamcser.medium.com
- LinkedIn: linkedin.com/in/satyamcser
About the Editor
Other books by this author
The Leanpub 60 Day 100% Happiness Guarantee
Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
Now, this is technically risky for us, since you'll have the book or course files either way. But we're so confident in our products and services, and in our authors and readers, that we're happy to offer a full money back guarantee for everything we sell.
You can only find out how good something is by trying it, and because of our 100% money back guarantee there's literally no risk to do so!
So, there's no reason not to click the Add to Cart button, is there?
See full terms...
Earn $8 on a $10 Purchase, and $16 on a $20 Purchase
We pay 80% royalties on purchases of $7.99 or more, and 80% royalties minus a 50 cent flat fee on purchases between $0.99 and $7.98. You earn $8 on a $10 sale, and $16 on a $20 sale. So, if we sell 5000 non-refunded copies of your book for $20, you'll earn $80,000.
(Yes, some authors have already earned much more than that on Leanpub.)
In fact, authors have earnedover $14 millionwriting, publishing and selling on Leanpub.
Learn more about writing on Leanpub
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
