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So far, many control algorithms have been developed for singularly perturbed systems. However, in many industrial processes, enforcing closed-loop fast-slow dynamics for peculiarly non-separable ones is a prior request and a crucial issue…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Xinglong Zhang , Wei Jiang , Shuyou Yu , Xin Xu , Zhizhong Li

Scaling training compute, measured in FLOPs, has long been shown to improve the accuracy of large language models, yet training remains resource-intensive. Prior work shows that increasing test-time compute (TTC)-for example through…

Computation and Language · Computer Science 2026-01-06 Hossam Amer , Maryam Dialameh , Hossein Rajabzadeh , Walid Ahmed , Weiwei Zhang , Yang Liu

Latent variable models have accumulated a considerable amount of interest from the industry and academia for their versatility in a wide range of applications. A large amount of effort has been made to develop systems that is able to extend…

Machine Learning · Computer Science 2015-11-19 Aaron Q. Li , Amr Ahmed , Mu Li , Vanja Josifovski

Inference scaling methods for LLMs often rely on decomposing problems into steps (or groups of tokens), followed by sampling and selecting the best next steps. However, these steps and their sizes are often predetermined or manually…

Deep ResNets are recognized for achieving state-of-the-art results in complex machine learning tasks. However, the remarkable performance of these architectures relies on a training procedure that needs to be carefully crafted to avoid…

Machine Learning · Computer Science 2025-03-04 Pierre Marion , Adeline Fermanian , Gérard Biau , Jean-Philippe Vert

Test-time scaling via recurrent/iterative Transformers enables large language models to spend more computation at inference, but most pretrained recurrent LMs run a fixed number of iterations, wasting compute on easy tokens and lacking…

Computation and Language · Computer Science 2026-03-12 Shixiang Song , He Li , Zitong Wang , Boyi Zeng , Feichen Song , Yixuan Wang , Zhiqin John Xu , Ziwei He , Zhouhan Lin

We show that a constant number of self-attention layers can efficiently simulate, and be simulated by, a constant number of communication rounds of Massively Parallel Computation. As a consequence, we show that logarithmic depth is…

Machine Learning · Computer Science 2024-02-15 Clayton Sanford , Daniel Hsu , Matus Telgarsky

Test-time Scaling (TTS) has been demonstrated to significantly enhance the reasoning capabilities of Large Language Models (LLMs) during the inference phase without altering model parameters. However, existing TTS methods are largely…

Computation and Language · Computer Science 2025-09-30 Guibin Zhang , Fanci Meng , Guancheng Wan , Zherui Li , Kun Wang , Zhenfei Yin , Lei Bai , Shuicheng Yan

Language models with recurrent depth, also referred to as universal or looped when considering transformers, are defined by the capacity to increase their computation through the repetition of layers. Recent efforts in pretraining have…

Machine Learning · Computer Science 2025-10-17 Jonas Geiping , Xinyu Yang , Guinan Su

The rate of metastable decay in nonequilibrium systems is expected to display scaling behavior: i.e., the logarithm of the decay rate should scale as a power of the distance to a bifurcation point where the metastable state disappears.…

Statistical Mechanics · Physics 2009-09-29 Oleg Kogan

Recurrent quantum models (RQMs) realize sequential quantum processes through repeated application of a unitary operation on a memory system coupled with a series of output registers. However, such models often rely on unnecessarily large…

Quantum Physics · Physics 2026-03-11 Chufan Lyu , Ximing Wang , Mile Gu , Thomas J. Elliott , Chengran Yang

Current transformers discard their rich latent residual stream between positions, reconstructing latent reasoning context at each new position and leaving potential reasoning capacity untapped. The State Stream Transformer (SST) V2 enables…

Machine Learning · Computer Science 2026-05-04 Thea Aviss

Large language models (LLMs) are now used in multi-turn workflows, but we still lack a clear way to measure when iteration helps and when it hurts. We present an evaluation framework for iterative refinement that spans ideation, code, and…

Artificial Intelligence · Computer Science 2025-09-16 Shashidhar Reddy Javaji , Bhavul Gauri , Zining Zhu

While biological vision systems rely heavily on feedback connections to iteratively refine perception, most artificial neural networks remain purely feedforward, processing input in a single static pass. In this work, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 David Calhas , Arlindo L. Oliveira

We introduce the Byte Latent Transformer (BLT), a new byte-level LLM architecture that, for the first time, matches tokenization-based LLM performance at scale with significant improvements in inference efficiency and robustness. BLT…

Computational efficiency has remained a critical consideration in scaling high-capacity language models, with inference latency and resource consumption presenting significant constraints on real-time applications. The study has introduced…

Computation and Language · Computer Science 2025-03-26 Michael Mangrum , Jonathan Pemberton , Benedict Wetherby , Philip Montague

We present ATLAS-RTC, a runtime control system for autoregressive language models that enforces structured output during decoding. ATLAS-RTC monitors generation at each step, detects drift from output contracts using lightweight signals,…

Machine Learning · Computer Science 2026-04-07 Christopher Cruz

Looped Transformers have emerged as an efficient and powerful class of models for reasoning in the language domain. Recent studies show that these models achieve strong performance on algorithmic and reasoning tasks, suggesting that looped…

Computation and Language · Computer Science 2026-02-13 Ahmadreza Jeddi , Marco Ciccone , Babak Taati

We propose a new finetuning method to provide pre-trained large language models (LMs) the ability to scale test-time compute through the diffusion framework. By increasing the number of diffusion steps, we show our finetuned models achieve…

Computation and Language · Computer Science 2025-06-04 Edoardo Cetin , Tianyu Zhao , Yujin Tang

The exit time statistics of experimental turbulent data is analyzed. By looking at the exit-time moments (Inverse Structure Functions) it is possible to have a direct measurement of scaling properties of the laminar statistics. It turns out…

chao-dyn · Physics 2009-10-31 L. Biferale , M. Cencini , D. Vergni , A. Vulpiani