activity
20132026
most citedApplications of Clifford's Geometric Algebra

177 citations · 177 across the 5 of their papers we have counts for

collaborators

5 papers

cs.SD2026

QC-GAN: A Parameter-Efficient Quaternion Conformer GAN for High-Fidelity Speech Enhancement

Shogo Yamauchi, Hideaki Tamori, Makoto Sakai +2

We propose a parameter-efficient speech enhancement framework, Quaternion Conformer GAN (QC-GAN), which combines a Quaternion Conformer generator with MetricGAN-based training. The…

cs.LG2026

Quaternion Self-Attention with Shared Scores

Shogo Yamauchi, Tohru Nitta, Hideaki Tamori

Quaternion neural networks are parameter-efficient and model multidimensional dependencies by representing four related features as a single entity. However, existing quaternion se…

cs.NE2024

Learning Characteristics of Reverse Quaternion Neural Network

Shogo Yamauchi, Tohru Nitta, Takaaki Ohnishi

The purpose of this paper is to propose a new multi-layer feedforward quaternion neural network model architecture, Reverse Quaternion Neural Network which utilizes the non-commuta…

stat.ML2018

Spurious Local Minima of Deep ReLU Neural Networks in the Neural Tangent Kernel Regime

Tohru Nitta

In this paper, we theoretically prove that the deep ReLU neural networks do not lie in spurious local minima in the loss landscape under the Neural Tangent Kernel (NTK) regime, tha…

math.RA2013★ 177 cited

Applications of Clifford's Geometric Algebra

Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe

We survey the development of Clifford's geometric algebra and some of its engineering applications during the last 15 years. Several recently developed applications and their merit…