Data Augmentation

Exploring lie groups for enhanced data augmentation strategies and validation.

A blurred motion capture of a spinning carousel, with a glowing, luminous appearance. The structure appears to emit a warm light with circular patterns, and dense lines of light radiate outward, creating a dynamic, energetic effect.
A blurred motion capture of a spinning carousel, with a glowing, luminous appearance. The structure appears to emit a warm light with circular patterns, and dense lines of light radiate outward, creating a dynamic, energetic effect.
Symmetric Data

Evaluating performance through comparative experiments on multiple datasets.

A group of dancers on a dark stage interacting with several geometric frames, each frame is lit emphasizing the performers' movements. The dancers are dressed in black, and their actions seem choreographed in a dynamic and expressive manner.
A group of dancers on a dark stage interacting with several geometric frames, each frame is lit emphasizing the performers' movements. The dancers are dressed in black, and their actions seem choreographed in a dynamic and expressive manner.
Model Robustness

Focusing on generalization and robustness in model training.

A surreal composition of geometric objects in black, white, and gray tones. The arrangement includes a striped polyhedron, a smooth abstract shape, a spherical object with a uniform stripe pattern, and a textured donut-shaped form. The objects are layered and seem to float against a solid black background, creating a sense of depth and juxtaposition.
A surreal composition of geometric objects in black, white, and gray tones. The arrangement includes a striped polyhedron, a smooth abstract shape, a spherical object with a uniform stripe pattern, and a textured donut-shaped form. The objects are layered and seem to float against a solid black background, creating a sense of depth and juxtaposition.
A geometric digital art composition features an abstract design with concentric circles and a central glowing symbol. Surrounded by a mosaic of colored squares and cubes, the scene is bathed in vibrant shades creating a sense of depth and motion.
A geometric digital art composition features an abstract design with concentric circles and a central glowing symbol. Surrounded by a mosaic of colored squares and cubes, the scene is bathed in vibrant shades creating a sense of depth and motion.
Experimental Validation

Utilizing API for preprocessing, training, and result visualization.

Theoretical Analysis

Proposing new strategies based on lie group symmetry principles.

A 3D torus with a smooth gradient of yellow, green, and red hues is centered against a dynamic, striped background of similar colors, giving an impression of motion or depth.
A 3D torus with a smooth gradient of yellow, green, and red hues is centered against a dynamic, striped background of similar colors, giving an impression of motion or depth.

Experiments

Evaluating Lie Group Symmetry in Data Augmentation Strategies.

The image features geometrically arranged objects including striped cylindrical shapes, spheres, and transparent cubes. The objects are presented against a dark background and exhibit reflections and highlights, suggesting a glossy or metallic texture.
The image features geometrically arranged objects including striped cylindrical shapes, spheres, and transparent cubes. The objects are presented against a dark background and exhibit reflections and highlights, suggesting a glossy or metallic texture.
A collection of colorful geometric shapes, including cylinders, cones, and cubes, are scattered throughout the image against a softly blurred background. The shapes vary in size and orientation, creating a dynamic and abstract composition.
A collection of colorful geometric shapes, including cylinders, cones, and cubes, are scattered throughout the image against a softly blurred background. The shapes vary in size and orientation, creating a dynamic and abstract composition.
A 3D rendering of a microchip with the letters 'AI' prominently displayed on its surface, set on a dark, circular platform.
A 3D rendering of a microchip with the letters 'AI' prominently displayed on its surface, set on a dark, circular platform.
Research

Innovating data augmentation for robust model performance.

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