TEMPER Boosts Deep Neural Network Efficiency with Tensorized Routing

Yuxuan Gu, Wuyang Zhou, Huijun Xing, Danilo Mandic· August 11, 2026 View original

Key takeaways

  • TEMPER introduces tensor networks for efficient residual routing in deep neural networks.
  • It significantly reduces parameter count compared to previous hyper-connection methods.
  • TEMPER maintains or improves performance in language modeling and reasoning tasks.
  • The approach offers better parameter efficiency and enhanced interpretability.

Who benefits

AI/ML PlatformsCloud ComputingSoftware DevelopmentAutomotiveRobotics

Summary

Researchers propose TEMPER, a novel architecture for deep neural networks that employs tensor networks to parameterize residual routing. This method significantly reduces the number of additional parameters compared to existing hyper-connection approaches while maintaining or improving performance across various language modeling and commonsense reasoning tasks.

Deep neural networks rely heavily on residual connections for stable training, but more expressive routing mechanisms like hyper-connections can lead to a rapid increase in parameters. This paper introduces TEMPER (Tensorized Efficient Manifold-constrained Parameterization for Expressive Residual Routing), an innovative approach to address this parameter growth bottleneck. TEMPER re-conceptualizes the generators for pre-branch aggregation, residual mixing, and post-branch redistribution as multi-way tensors. By parameterizing these tensors using tensor networks, TEMPER achieves a structured low-rank formulation that drastically cuts down on additional parameters. This design not only improves parameter efficiency but also enhances interpretability. Experimental results demonstrate that TEMPER matches or surpasses current state-of-the-art methods in language modeling and commonsense reasoning, achieving superior performance-parameter efficiency trade-offs.

Why it matters

For professionals building and deploying large-scale neural networks, TEMPER offers a pathway to develop more efficient and performant models. This can lead to reduced computational costs, faster training, and the ability to deploy deeper, more complex architectures in resource-constrained environments.

How to implement this in your domain

  1. 1Explore TEMPER's tensor network parameterization for new deep learning model designs.
  2. 2Benchmark TEMPER against existing residual routing methods on custom datasets and tasks.
  3. 3Integrate TEMPER into current neural network architectures to assess parameter reduction and performance gains.
  4. 4Consider the interpretability benefits of TEMPER's structured low-rank formulation for model debugging and understanding.

Original post by Yuxuan Gu, Wuyang Zhou, Huijun Xing, Danilo Mandic

"arXiv:2608.07851v1 Announce Type: new Abstract: Residual connections rely on a static residual pathway, and are essential for training deep neural networks. Hyper-connections (HC) increase the expressivity of residual routing by incorporating multiple residual streams and learnin…"

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Originally posted by Yuxuan Gu, Wuyang Zhou, Huijun Xing, Danilo Mandic on X · view source

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