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Akiyoshi Sannai

4 accepted papers

2025

Stochastic Gradient Descent for Bézier Simplex Representation of Pareto Set in Multi-Objective Optimization

AISTATS 2025poster

Multi-objective optimization aims to find a set of solutions that achieve the best trade-off among multiple conflicting objective functions. While various multi-objective optimization algorithms have been proposed so far, most of them aim to find finite solutions as an approximation of the Pareto se…

Cited by 0SourceScholar
2021

Group Equivariant Conditional Neural Processes

ICLR 2021poster

We present the group equivariant conditional neural process (EquivCNP), a meta-learning method with permutation invariance in a data set as in conventional conditional neural processes (CNPs), and it also has transformation equivariance in data space. Incorporating group equivariance, such as rotati…

Cited by 31SourcePDFScholar
2021

Improved generalization bounds of group invariant / equivariant deep networks via quotient feature spaces

UAI 2021poster

Numerous invariant (or equivariant) neural networks have succeeded in handling the invariant data such as point clouds and graphs. However, a generalization theory for the neural networks has not been well developed, because several essential factors for the theory, such as network size and margin d…

Cited by 46SourcePDFScholar
2021

On the number of linear functions composing deep neural network: Towards a refined definition of neural networks complexity

AISTATS 2021poster

The classical approach to measure the expressive power of deep neural networks with piecewise linear activations is based on counting their maximum number of linear regions. This complexity measure is quite relevant to understand general properties of the expressivity of neural networks such as the…

Cited by 5SourcePDFScholar