Complex Analysis

Exploring advanced semantic representation using complex mathematical frameworks.

A complex, abstract structure composed of layered, flowing lines and shapes in vivid blue, resembling a three-dimensional wave or organic form against a dark background.
A complex, abstract structure composed of layered, flowing lines and shapes in vivid blue, resembling a three-dimensional wave or organic form against a dark background.
Theoretical Framework

Developing complex semantic functions and mathematical transformations.

A futuristic and digital-themed image features a stylized circuit board with the words 'Open AI' in bold, glowing letters. Above it is a design that resembles an AI or robot face with neon accents. The background consists of a network of interconnected blue lines and nodes, suggesting themes of technology and connectivity.
A futuristic and digital-themed image features a stylized circuit board with the words 'Open AI' in bold, glowing letters. Above it is a design that resembles an AI or robot face with neon accents. The background consists of a network of interconnected blue lines and nodes, suggesting themes of technology and connectivity.
Experimental Validation

Comparative studies on performance of complex versus real representations.

A detailed illustration of a human brain suspended in a futuristic environment. The background consists of concentric circles of evenly spaced, small metallic spheres, giving a sense of depth and complexity.
A detailed illustration of a human brain suspended in a futuristic environment. The background consists of concentric circles of evenly spaced, small metallic spheres, giving a sense of depth and complexity.
A 3D illustration of interconnected white spheres resembling molecular structures set against a soft, blurred backdrop. The spheres are depicted in various sizes, connected by straight rods, creating an impression of a complex network or chemical compound.
A 3D illustration of interconnected white spheres resembling molecular structures set against a soft, blurred backdrop. The spheres are depicted in various sizes, connected by straight rods, creating an impression of a complex network or chemical compound.
Model Implementation

Building complex-valued neural networks for language applications.

Application Exploration

Testing practical value in various semantic tasks.

Research

Innovative approaches to complex semantic representation tasks.

© 2025. All rights reserved.