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Recursive reasoning models such as Hierarchical Reasoning Model (HRM) and Tiny Recursive Model (TRM) show that small, weight-shared networks can solve compute-heavy and NP puzzles by iteratively refining latent states, but their training…

Artificial Intelligence · Computer Science 2026-03-18 Navid Hakimi

We introduce a simple, yet novel entropy-based framework to drive token efficiency in large language models during reasoning tasks. Our approach uses Shannon entropy from token-level logprobs as a confidence signal to enable early stopping,…

Machine Learning · Computer Science 2025-10-29 Aman Sharma , Paras Chopra

Recent work on recursive architectures has shown that tiny neural networks can be surprisingly powerful on structured reasoning tasks. The trick is to model reasoning trajectories with a latent dynamical system. We argue that the…

Artificial Intelligence · Computer Science 2026-05-28 Andrew Corbett , Archit Sood , Anna Tzatzopoulou , Sai-Aakash Ramesh , Tim Dodwell

Training large language models with reinforcement learning (RL) against verifiable rewards significantly enhances their reasoning abilities, yet remains computationally expensive due to inefficient uniform prompt sampling. We introduce…

Machine Learning · Computer Science 2026-03-06 Ruiqi Zhang , Daman Arora , Song Mei , Andrea Zanette

Despite their proficiency in various language tasks, Large Language Models (LLMs) struggle with combinatorial problems like Satisfiability, Traveling Salesman Problem, or even basic arithmetic. We address this gap through a novel trial &…

Machine Learning · Computer Science 2026-01-19 Panagiotis Giannoulis , Yorgos Pantis , Christos Tzamos

Tiny Recursive Models (TRM) solve complex reasoning tasks with a fraction of the parameters of modern large language models (LLMs) by iteratively refining a latent state and final answer. While powerful, their deterministic recursion can…

Artificial Intelligence · Computer Science 2026-05-20 Amin Sghaier , Ali Parviz , Alexia Jolicoeur-Martineau

Background: Recursive reasoning models achieve strong performance through iterative refinement, allowing small networks to match large language models. However, training is computationally expensive, often requiring 36 GPU-hours for Sudoku…

Machine Learning · Computer Science 2025-12-29 Kaleem Ullah Qasim , Jiashu Zhang

Chain-of-thought (CoT) prompting enhances reasoning in large language models (LLMs) but often leads to verbose and redundant outputs, thus increasing inference cost. We hypothesize that many reasoning steps are unnecessary for producing…

Computation and Language · Computer Science 2025-09-30 Xin Liu , Lu Wang

Large language models have become increasingly difficult to train because of the growing computation time and cost. In this work, we present SRU++, a highly-efficient architecture that combines fast recurrence and attention for sequence…

Computation and Language · Computer Science 2021-09-16 Tao Lei

Winner-Take-All (WTA) refers to the neural operation that selects a (typically small) group of neurons from a large neuron pool. It is conjectured to underlie many of the brain's fundamental computational abilities. However, not much is…

Neurons and Cognition · Quantitative Biology 2019-04-24 Lili Su , Chia-Jung Chang , Nancy Lynch

The energy-efficient and brain-like information processing abilities of Spiking Neural Networks (SNNs) have attracted considerable attention, establishing them as a crucial element of brain-inspired computing. One prevalent challenge…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Zhigang Wang , Lu Cao , Jianfeng Feng

Spiking Neural Networks (SNNs), with their event-driven and biologically inspired operation, are well-suited for energy-efficient neuromorphic hardware. Neural coding, critical to SNNs, determines how information is represented via spikes.…

Neural and Evolutionary Computing · Computer Science 2025-03-11 Kaiwei Che , Wei Fang , Zhengyu Ma , Yifan Huang , Peng Xue , Li Yuan , Timothée Masquelier , Yonghong Tian

Neural network models with latent recurrent processing, where identical layers are recursively applied to the latent state, have gained attention as promising models for performing reasoning tasks. A strength of such models is that they…

Machine Learning · Computer Science 2026-04-16 Kenji Kubo , Shunsuke Kamiya , Masanori Koyama , Kohei Hayashi , Yusuke Iwasawa , Yutaka Matsuo

Random Forests (RFs) are widely used Machine Learning models in low-power embedded devices, due to their hardware friendly operation and high accuracy on practically relevant tasks. The accuracy of a RF often increases with the number of…

In this work we study biological neural networks from an algorithmic perspective, focusing on understanding tradeoffs between computation time and network complexity. Our goal is to abstract real neural networks in a way that, while not…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Nancy Lynch , Cameron Musco , Merav Parter

Neural networks have long been used to model human intelligence, capturing elements of behavior and cognition, and their neural basis. Recent advancements in deep learning have enabled neural network models to reach and even surpass human…

Machine Learning · Computer Science 2023-03-30 Andrew J. Nam , James L. McClelland

Speculative decoding has demonstrated its effectiveness in accelerating the inference of large language models while maintaining a consistent sampling distribution. However, the conventional approach of training a separate draft model to…

Computation and Language · Computer Science 2024-04-30 Fangcheng Liu , Yehui Tang , Zhenhua Liu , Yunsheng Ni , Kai Han , Yunhe Wang

Ensuring the safety and efficiency of AI systems is a central goal of modern research. Formal verification provides guarantees of neural network robustness, while early exits improve inference efficiency by enabling intermediate…

Machine Learning · Computer Science 2025-12-25 Yizhak Yisrael Elboher , Avraham Raviv , Amihay Elboher , Zhouxing Shi , Omri Azencot , Hillel Kugler , Guy Katz

Most provably-efficient learning algorithms introduce optimism about poorly-understood states and actions to encourage exploration. We study an alternative approach for efficient exploration, posterior sampling for reinforcement learning…

Machine Learning · Statistics 2013-12-30 Ian Osband , Daniel Russo , Benjamin Van Roy

Neural network robustness has become a central topic in machine learning in recent years. Most training algorithms that improve the model's robustness to adversarial and common corruptions also introduce a large computational overhead,…

Machine Learning · Computer Science 2021-12-07 Weizhe Hua , Yichi Zhang , Chuan Guo , Zhiru Zhang , G. Edward Suh
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