Publications (5)
Strassen Matrix Multiplication from a 3-dimensional Volume Form
Benoit Jacob
The Strassen matrix multiplication algorithm arises from the volume form on the 3-dimensional quotient space of the matrices by the multiples of identity.
On perturbations of continuous maps
Benoit Jacob
We give sufficient conditions for the following problem: given a topological space X, a metric space Y, a subspace Z of Y, and a continuous map f from X to Y, is it possible, by ap…
Hessenberg decomposition of matrix fields and bounded operator fields
Benoit Jacob
Hessenberg decomposition is the basic tool used in computational linear algebra to approximate the eigenvalues of a matrix. In this article, we generalize Hessenberg decomposition…
Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inference
Benoit Jacob, Skirmantas Kligys, Bo Chen +5
The rising popularity of intelligent mobile devices and the daunting computational cost of deep learning-based models call for efficient and accurate on-device inference schemes. W…
Lingvo: a Modular and Scalable Framework for Sequence-to-Sequence Modeling
Jonathan Shen, Patrick Nguyen, Yonghui Wu +88
Lingvo is a Tensorflow framework offering a complete solution for collaborative deep learning research, with a particular focus towards sequence-to-sequence models. Lingvo models a…