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Auteurs principaux: Jin, Can, Peng, Hongwu, Xiang, Mingcan, Zhang, Qixin, Yuan, Xiangchi, Hasan, Amit, Dibua, Ohiremen, Gong, Yifan, Kang, Yan, Metaxas, Dimitris N.
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2512.13996
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author Jin, Can
Peng, Hongwu
Xiang, Mingcan
Zhang, Qixin
Yuan, Xiangchi
Hasan, Amit
Dibua, Ohiremen
Gong, Yifan
Kang, Yan
Metaxas, Dimitris N.
author_facet Jin, Can
Peng, Hongwu
Xiang, Mingcan
Zhang, Qixin
Yuan, Xiangchi
Hasan, Amit
Dibua, Ohiremen
Gong, Yifan
Kang, Yan
Metaxas, Dimitris N.
contents Sparse Mixture-of-Experts architectures are essential for scaling model capacity efficiently, yet the standard Top-$k$ routing imposes a rigid sparsity pattern that ignores the intrinsic variance in token difficulty and layer-specific computational needs. Top-$p$ routing is more adaptive because it selects experts until their cumulative routing probability reaches a threshold, allowing confident tokens to use fewer experts and ambiguous tokens to recruit more. However, we demonstrate that existing naive Top-$p$ implementations with fixed global probability thresholds provide only marginal gains over Top-$k$, suffer from hyperparameter sensitivity, and result in uncontrolled computational costs. In this paper, we propose **DTop-$p$**, a sparsity-controllable dynamic routing mechanism that learns the Top-$p$ probability threshold with a Proportional-Integral controller and uses dynamic routing normalization to support layer-wise expert selection under a global sparsity constraint. Extensive experiments on Large Language Models and Diffusion Transformers demonstrate that **DTop-$p$** consistently outperforms both Top-$k$ and fixed Top-$p$ baselines while matching the average FLOPs of Top-$k$ MoE. Our analysis confirms that **DTop-$p$** exhibits strong scaling properties across expert granularity, total expert capacity, model size, and dataset size, offering a robust and efficient MoE framework for foundation model pre-training.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13996
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle DTop-p MoE: Sparsity-Controlled Dynamic Top-p MoE for Foundation Model Pre-training
Jin, Can
Peng, Hongwu
Xiang, Mingcan
Zhang, Qixin
Yuan, Xiangchi
Hasan, Amit
Dibua, Ohiremen
Gong, Yifan
Kang, Yan
Metaxas, Dimitris N.
Artificial Intelligence
Sparse Mixture-of-Experts architectures are essential for scaling model capacity efficiently, yet the standard Top-$k$ routing imposes a rigid sparsity pattern that ignores the intrinsic variance in token difficulty and layer-specific computational needs. Top-$p$ routing is more adaptive because it selects experts until their cumulative routing probability reaches a threshold, allowing confident tokens to use fewer experts and ambiguous tokens to recruit more. However, we demonstrate that existing naive Top-$p$ implementations with fixed global probability thresholds provide only marginal gains over Top-$k$, suffer from hyperparameter sensitivity, and result in uncontrolled computational costs. In this paper, we propose **DTop-$p$**, a sparsity-controllable dynamic routing mechanism that learns the Top-$p$ probability threshold with a Proportional-Integral controller and uses dynamic routing normalization to support layer-wise expert selection under a global sparsity constraint. Extensive experiments on Large Language Models and Diffusion Transformers demonstrate that **DTop-$p$** consistently outperforms both Top-$k$ and fixed Top-$p$ baselines while matching the average FLOPs of Top-$k$ MoE. Our analysis confirms that **DTop-$p$** exhibits strong scaling properties across expert granularity, total expert capacity, model size, and dataset size, offering a robust and efficient MoE framework for foundation model pre-training.
title DTop-p MoE: Sparsity-Controlled Dynamic Top-p MoE for Foundation Model Pre-training
topic Artificial Intelligence
url https://arxiv.org/abs/2512.13996