GauS: Differentiable Scheduling Optimization via Gaussian Reparameterization

Fuente: arXiv
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Autores principales: Cai, Yaohui, Bakhtazad, Vesal, Yu, Cunxi, Zhang, Zhiru
Formato: Preprint
Publicado: 2026
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author Cai, Yaohui
Bakhtazad, Vesal
Yu, Cunxi
Zhang, Zhiru
author_facet Cai, Yaohui
Bakhtazad, Vesal
Yu, Cunxi
Zhang, Zhiru
contents Efficient operator scheduling is a fundamental challenge in software compilation and hardware synthesis. While recent differentiable approaches have sought to replace traditional ones like exact solvers or heuristics with gradient-based search, they typically rely on categorical distributions that fail to capture the ordinal nature of time and suffer from a parameter space that scales poorly. In this paper, we propose a novel differentiable framework, GauS, that models operator scheduling as a stochastic relaxation using Gaussian distributions, which fully utilize modern parallel computing devices like GPUs. By representing schedules as continuous Gaussian variables, we successfully capture the ordinal nature of time and reduce the optimization space by orders of magnitude. Our method is highly flexible to represent various objectives and constraints, which provides the first differentiable formulation for the complex pipelined scheduling problem. We evaluate our method on a range of benchmarks, demonstrating that Gaus achieves Pareto-optimal results.
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id arxiv_https___arxiv_org_abs_2602_20427
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publishDate 2026
record_format arxiv
spellingShingle GauS: Differentiable Scheduling Optimization via Gaussian Reparameterization
Cai, Yaohui
Bakhtazad, Vesal
Yu, Cunxi
Zhang, Zhiru
Machine Learning
Hardware Architecture
Efficient operator scheduling is a fundamental challenge in software compilation and hardware synthesis. While recent differentiable approaches have sought to replace traditional ones like exact solvers or heuristics with gradient-based search, they typically rely on categorical distributions that fail to capture the ordinal nature of time and suffer from a parameter space that scales poorly. In this paper, we propose a novel differentiable framework, GauS, that models operator scheduling as a stochastic relaxation using Gaussian distributions, which fully utilize modern parallel computing devices like GPUs. By representing schedules as continuous Gaussian variables, we successfully capture the ordinal nature of time and reduce the optimization space by orders of magnitude. Our method is highly flexible to represent various objectives and constraints, which provides the first differentiable formulation for the complex pipelined scheduling problem. We evaluate our method on a range of benchmarks, demonstrating that Gaus achieves Pareto-optimal results.
title GauS: Differentiable Scheduling Optimization via Gaussian Reparameterization
topic Machine Learning
Hardware Architecture
url https://arxiv.org/abs/2602.20427