Fractional-Order Optimization

Innovating neural networks through advanced fractional-order gradient descent algorithms and optimization techniques.

Innovative Fractional-Order Optimization Research

We specialize in developing fractional-order gradient descent algorithms and optimizing neural networks using advanced mathematical frameworks and OpenAI technologies for enhanced model performance.

A close-up of an abstract textured surface featuring irregular patterns resembling neural networks or biological structures. The surface appears metallic with reflective qualities and intricate grooves.
A close-up of an abstract textured surface featuring irregular patterns resembling neural networks or biological structures. The surface appears metallic with reflective qualities and intricate grooves.

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Proven Results

Fractional-Order Optimization

Specializing in fractional-order algorithms for neural networks and advanced optimization techniques for model training.

Algorithm Development

Constructing mathematical frameworks for fractional-order gradient descent and backpropagation algorithms tailored for neural networks.

A laptop displaying a webpage about optimizing language models rests on a wooden table. To the left of the laptop is a white cup containing coffee, with remnants of foam around the edges. A colorful laminated menu stand with a sandwich picture is positioned behind the cup.
A laptop displaying a webpage about optimizing language models rests on a wooden table. To the left of the laptop is a white cup containing coffee, with remnants of foam around the edges. A colorful laminated menu stand with a sandwich picture is positioned behind the cup.
Implementation Testing

Implementing and testing fractional-order variants like SGD and Adam on benchmark datasets for performance evaluation.

Utilizing OpenAI API

API Integration
A monochrome image featuring an illuminated neural network pattern resembling a human brain against a dark background. Below the brain image is a text section, which includes the title 'seeing the beautiful brain today' in bold and descriptive text about advances in neuroscience and imaging techniques.
A monochrome image featuring an illuminated neural network pattern resembling a human brain against a dark background. Below the brain image is a text section, which includes the title 'seeing the beautiful brain today' in bold and descriptive text about advances in neuroscience and imaging techniques.
An abstract, intricate pattern resembling a tree or a neuron on a dark background. The pattern is composed of thin, colorful lines and shapes, giving a sense of motion and fluidity.
An abstract, intricate pattern resembling a tree or a neuron on a dark background. The pattern is composed of thin, colorful lines and shapes, giving a sense of motion and fluidity.

Fractional Optimization

Exploring fractional-order algorithms for neural network optimization.

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.
Phase One

Constructing mathematical framework for fractional-order algorithms.

A series of diagonal, layered curves create a sleek and modern abstract design. The gradient shifts smoothly from deep purple to soft brown, providing a sophisticated visual effect.
A series of diagonal, layered curves create a sleek and modern abstract design. The gradient shifts smoothly from deep purple to soft brown, providing a sophisticated visual effect.
Phase Two

Implementing and testing fractional-order optimizer variants.

A blackboard with mathematical equations written in chalk, including variables like Q and P, and calculations involving these variables. An eraser and pieces of chalk are on the chalkboard's tray.
A blackboard with mathematical equations written in chalk, including variables like Q and P, and calculations involving these variables. An eraser and pieces of chalk are on the chalkboard's tray.
A network of tree branches with an artificial color scheme. The branches are predominantly in bright pink and yellow against a brown background, creating a high contrast abstract visual.
A network of tree branches with an artificial color scheme. The branches are predominantly in bright pink and yellow against a brown background, creating a high contrast abstract visual.
Phase Three

Applying optimizers to train and evaluate GPT models.

Evaluation

Systematic assessment of fractional-order parameters on performance.