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While looped transformers (termed as Looped-Attn) often outperform standard transformers (termed as Single-Attn) on complex reasoning tasks, the mechanism for this advantage remains underexplored. In this paper, we explain this phenomenon…

Machine Learning · Computer Science 2026-01-07 Zixuan Gong , Yong Liu , Jiaye Teng

The Transformer and its variants have been proven to be efficient sequence learners in many different domains. Despite their staggering success, a critical issue has been the enormous number of parameters that must be trained (ranging from…

Machine Learning · Computer Science 2021-10-28 Subhabrata Dutta , Tanya Gautam , Soumen Chakrabarti , Tanmoy Chakraborty

The pursuit of computational efficiency has driven the adoption of low-precision formats for training transformer models. However, this progress is often hindered by notorious training instabilities. This paper provides the first…

Machine Learning · Computer Science 2026-04-21 Haiquan Qiu , Quanming Yao

Scaling Transformers typically necessitates training larger models from scratch, as standard architectures struggle to expand without discarding learned representations. We identify the primary bottleneck in the attention mechanism's linear…

Machine Learning · Computer Science 2026-04-22 Weijie Zhao , Mingquan Liu , Bolun Wang , Simo Wu , Nuobei Xie , Rui-Jie Zhu , Peng Zhou

Transformers have become the de facto architecture for a wide range of machine learning tasks, particularly in large language models (LLMs). Despite their remarkable performance, many challenges remain in training deep transformer networks,…

Computation and Language · Computer Science 2025-12-09 Zhijian Zhuo , Yutao Zeng , Ya Wang , Sijun Zhang , Jian Yang , Xiaoqing Li , Xun Zhou , Jinwen Ma

Scaling Transformer-based click-through rate (CTR) models by stacking more parameters brings growing computational and storage overhead, creating a widening gap between scaling ambitions and the stringent industrial deployment constraints.…

Information Retrieval · Computer Science 2026-04-22 Jiakai Tang , Runfeng Zhang , Weiqiu Wang , Yifei Liu , Chuan Wang , Xu Chen , Yeqiu Yang , Jian Wu , Yuning Jiang , Bo Zheng

Despite scale driving substantial recent advancements in machine learning, reinforcement learning (RL) methods still primarily use small value functions. Naively scaling value functions -- including with a transformer architecture, which is…

Machine Learning · Computer Science 2026-02-03 Perry Dong , Kuo-Han Hung , Alexander Swerdlow , Dorsa Sadigh , Chelsea Finn

Scaling deep reinforcement learning networks is challenging and often results in degraded performance, yet the root causes of this failure mode remain poorly understood. Several recent works have proposed mechanisms to address this, but…

Current Vision-Language-Action (VLA) models typically treat the deepest representation of a vision-language backbone as universally optimal for action prediction. However, robotic manipulation is composed of many frequent closed-loop…

Artificial Intelligence · Computer Science 2026-05-12 Boyang Shen , Kaixiang Yang , Hao Wang , Qiuyu Yu , Qiang Xie , Qiang Li , Zhiwei Wang

Normalization techniques are crucial for enhancing Transformer models' performance and stability in time series analysis tasks, yet traditional methods like batch and layer normalization often lead to issues such as token shift, attention…

Machine Learning · Computer Science 2024-05-28 Nan Huang , Christian Kümmerle , Xiang Zhang

Transformer models have achieved remarkable results in a wide range of applications. However, their scalability is hampered by the quadratic time and memory complexity of the self-attention mechanism concerning the sequence length. This…

Machine Learning · Computer Science 2024-02-27 Yury Nahshan , Joseph Kampeas , Emir Haleva

The transformer architecture is central to the success of modern Large Language Models (LLMs), in part due to its surprising ability to perform a wide range of tasks - including mathematical reasoning, memorization, and retrieval - using…

Machine Learning · Computer Science 2025-09-05 Yihe Dong , Lorenzo Noci , Mikhail Khodak , Mufan Li

Frequency stability is fundamental to the secure operation of power systems. With growing uncertainty and volatility introduced by renewable generation, secondary frequency regulation must now deliver enhanced performance not only in the…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yixuan Yu , Rajni K. Bansal , Yan Jiang , Pengcheng You

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

Optimization and Control · Mathematics 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

The intriguing in-context learning (ICL) abilities of deep Transformer models have lately garnered significant attention. By studying in-context linear regression on unimodal Gaussian data, recent empirical and theoretical works have argued…

Machine Learning · Computer Science 2024-10-30 Khashayar Gatmiry , Nikunj Saunshi , Sashank J. Reddi , Stefanie Jegelka , Sanjiv Kumar

We reformulate the problem of supervised learning as learning to learn with two nested loops (i.e. learning problems). The inner loop learns on each individual instance with self-supervision before final prediction. The outer loop learns…

Machine Learning · Computer Science 2024-01-09 Yu Sun , Xinhao Li , Karan Dalal , Chloe Hsu , Sanmi Koyejo , Carlos Guestrin , Xiaolong Wang , Tatsunori Hashimoto , Xinlei Chen

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

Systems and Control · Computer Science 2019-04-02 Dimitar Ho , John C. Doyle

Looped Language Models (LoopLMs) enable efficient latent reasoning through depth recurrence, yet exhibit unreliable test-time scaling behavior: performance often peaks at a certain iteration depth and then collapses with further recurrence.…

Machine Learning · Computer Science 2026-05-27 Xiao-Wen Yang , Ziyu Han , Xi-Hua Zhang , Wen-Da Wei , Jie-Jing Shao , Lan-Zhe Guo , Yu-Feng Li

Looped transformers apply a shared block multiple times and have emerged as a parameter-efficient route to scaling compute in language models. However, at fixed FLOPs a looped model has strictly less capacity than a baseline transformer. We…

Computation and Language · Computer Science 2026-05-29 Markus Frey , Behzad Shomali , Joachim Koehler , Mehdi Ali

Recent works have demonstrated great success in pre-training large-scale autoregressive language models on massive GPUs. To reduce the wall-clock training time, a common practice is to increase the batch size and learning rate. However,…

Machine Learning · Computer Science 2022-10-18 Conglong Li , Minjia Zhang , Yuxiong He