Novel Tensor Fields: Beyond Classical Tensor Calculus in AI (Mastering Machine Learning) - Softcover

Flux, Jamie

Softcover

ISBN 13: 9798340282057

Publisher: Independently published, 2024

Synopsis

Venturing into novel territory, we explore advanced tensor field theories that extend traditional mathematical frameworks. These include:

- Hypercomplex Tensor Fields: Exploring tensors defined over hypercomplex number systems, enabling more efficient representations of multidimensional data.

- Non-Euclidean Tensor Spaces: Discussing tensor fields in curved spaces and their applications in modeling data with underlying geometric complexities.

- Dynamic Tensor Fields: Presenting tensors that evolve over time, crucial for temporal data analysis and sequential decision-making processes.

- Stochastic Tensor Fields: Integrating probabilistic approaches within tensor calculus to address uncertainties inherent in real-world data.

The core of the book focuses on how these novel tensor fields can be harnessed in AI:

- Deep Learning Innovations: Demonstrating how advanced tensor operations can enhance neural network architectures, leading to more powerful and interpretable models.

- Geometric Machine Learning: Applying tensor field concepts to develop algorithms that respect the geometric structure of data, improving performance in areas like computer vision and graphics.

Edition details

• Publisher: Independently published
• Publication date: 2024
• Language: English
• ISBN 13: 9798340282057
• Binding: Paperback
• Number of pages: 389