TENSOR4ML

TENSOR methods FOR mastering modern Machine Learning

Preview

Unlocking the full potential of tensor methods for compression and efficient training of modern AI models.

Konstantin Usevich, research scientist, CNRS

The TENSOR4ML project aims at revisiting the foundations of tensor methods for modern deep learning in context of generative models and scientific AI. The project will develop new frugal AI models based on low-rank approximation of tensors in novel tensor formats, taking care of particularities of applications, implementation and hardware constraints. The project gathers experts in machine learning, approximation theory, matrix and tensor analysis, optimization, and high performance computing.

Keywords : neural networks, tensor decompositions, low-rank approximation, geometry, frugality

Missions

Our researches


Revisit the usage of low-rank models for compression and training

Provide new learning and inference algorithms based on well-mastered tensor machinery, with low complexity and  data  requirements. We aim at understanding the interplay between low-rank compression and the performance of neural networks in order to choose best architectures and learning strategies.


Develop advanced tensor formats

Develop new tensor formats and neural network architectures such as compositions of nonlinear maps in tensor formats. They will require new approaches study their properties (such as identifiability, generalization, robustness, approximation properties).


Develop efficient learning and optimization techniques

Exploit the geometry of tensor formats and functional spaces, as well as leverage access to derivative evaluations of pretrained representations.


Speed up learning and inference

Employ high-performance computations, to meet the needs of high-dimensional applications in scientific and generative AI.

Consortium

CNRS (Nancy), INRIA (Bordeaux et Grenoble), Ecole Centrale Nantes

Publication


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