Data augmentation strategy based on Lie group symmetry

Explore Lie Group Symmetry for Robust Model Performance and Generalization.

Innovative Data Augmentation Solutions

We specialize in advanced data augmentation strategies using lie group symmetries to enhance model generalization and robustness across various datasets.

Abstract representation of digital text overlay with questions about large language models, featuring a futuristic, stylized reflection and refracted light effect.
Abstract representation of digital text overlay with questions about large language models, featuring a futuristic, stylized reflection and refracted light effect.
Various geometric shapes such as spheres, cylinders, and ellipses are floating against a light blue background. The objects feature a gradient of colors including blue, pink, and gold, giving them a metallic and reflective appearance.
Various geometric shapes such as spheres, cylinders, and ellipses are floating against a light blue background. The objects feature a gradient of colors including blue, pink, and gold, giving them a metallic and reflective appearance.
Multiple overlapping images of a person's face create a kaleidoscopic effect with a green tint. The face appears several times, each slightly offset, giving a sense of motion or distortion.
Multiple overlapping images of a person's face create a kaleidoscopic effect with a green tint. The face appears several times, each slightly offset, giving a sense of motion or distortion.

Our Research Approach

Combining theoretical analysis with experimental validation, we evaluate new data augmentation methods against traditional techniques to improve machine learning outcomes.

Data Augmentation Strategies

Innovative methods for enhancing model generalization and robustness through theoretical and experimental validation.

A kaleidoscope effect creates multiple overlapping images of a person with blond hair wearing a white, textured top. The image has a surreal, dreamlike quality with repeated faces and arms extending across the frame.
A kaleidoscope effect creates multiple overlapping images of a person with blond hair wearing a white, textured top. The image has a surreal, dreamlike quality with repeated faces and arms extending across the frame.
A complex, abstract digital image features intertwined metallic and glass-like structures, resembling a futuristic machine or art installation. Reflective surfaces create a dynamic interplay of light and shadow, with intricate details suggesting a sense of movement or transformation.
A complex, abstract digital image features intertwined metallic and glass-like structures, resembling a futuristic machine or art installation. Reflective surfaces create a dynamic interplay of light and shadow, with intricate details suggesting a sense of movement or transformation.
Symmetric Data Generation

Utilizing lie group actions to create symmetric augmented data for improved model performance and reliability.

Comparative Experiments

Evaluating lie group symmetry-based strategies against traditional methods on various public datasets for effectiveness.

Data Augmentation

Exploring Lie groups for enhanced data augmentation strategies and validation.

Several geometric shapes including a cylinder, cube, sphere, cone, and torus are arranged together on a smooth surface. The shapes are illuminated by a soft light, giving them a glowing appearance. The overall color scheme is a warm gradient, primarily consisting of pastel pinks and yellows.
Several geometric shapes including a cylinder, cube, sphere, cone, and torus are arranged together on a smooth surface. The shapes are illuminated by a soft light, giving them a glowing appearance. The overall color scheme is a warm gradient, primarily consisting of pastel pinks and yellows.
Symmetric Augmentation

Evaluating performance on multiple public datasets for robustness.

Geometric objects, including a wave-like structure, a circular object with grooves, and a ring with an extended shadow, are arranged on a flat surface. Shadows cast by these objects create interesting patterns, enhancing the visual depth.
Geometric objects, including a wave-like structure, a circular object with grooves, and a ring with an extended shadow, are arranged on a flat surface. Shadows cast by these objects create interesting patterns, enhancing the visual depth.
Several light blue polyhedral shapes are floating against a gradient turquoise background. The 3D geometric forms appear to be scattered randomly across the scene.
Several light blue polyhedral shapes are floating against a gradient turquoise background. The 3D geometric forms appear to be scattered randomly across the scene.
A grayscale digital abstract representation features a human-like face with a mesh overlay and various geometric patterns and data sequences. The image combines elements of a human face with grid lines and digital noise, suggesting a blend of technology and humanity. Numbers and codes are interspersed throughout, enhancing the theme of digital interaction.
A grayscale digital abstract representation features a human-like face with a mesh overlay and various geometric patterns and data sequences. The image combines elements of a human face with grid lines and digital noise, suggesting a blend of technology and humanity. Numbers and codes are interspersed throughout, enhancing the theme of digital interaction.
Comparative Experiments

Assessing traditional methods against new Lie group strategies.