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Hierarchical Reasoning Model (HRM) is a novel approach using two small neural networks recursing at different frequencies. This biologically inspired method beats Large Language models (LLMs) on hard puzzle tasks such as Sudoku, Maze, and…

Machine Learning · Computer Science 2025-10-07 Alexia Jolicoeur-Martineau

Tiny Recursive Models (TRM) were proposed as a parameter-efficient alternative to large language models for solving Abstraction and Reasoning Corpus (ARC) style tasks. The original work reports strong performance and suggests that recursive…

Machine Learning · Computer Science 2026-01-12 Antonio Roye-Azar , Santiago Vargas-Naranjo , Dhruv Ghai , Nithin Balamurugan , Rayan Amir

Tiny Recursive Models (TRMs) have recently demonstrated remarkable performance on ARC-AGI, showing that very small models can compete against large foundation models through a two-step refinement mechanism that updates an internal reasoning…

Machine Learning · Computer Science 2026-03-10 Paulius Rauba , Claudio Fanconi , Mihaela van der Schaar

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

Associative memory has long underpinned the design of sequential models. Beyond recall, humans reason by projecting future states and selecting goal-directed actions, a capability that modern language models increasingly require but do not…

Machine Learning · Computer Science 2026-03-11 Peihao Wang , Shan Yang , Xijun Wang , Tesi Xiao , Xin Liu , Changlong Yu , Yu Lou , Pan Li , Zhangyang Wang , Ming Lin , René Vidal

Recursive architectures such as Tiny Recursive Models (TRMs) perform implicit reasoning through iterative latent computation, yet the geometric structure of these reasoning trajectories remains poorly understood. We investigate the…

Machine Learning · Computer Science 2026-04-21 Ege Çakar , Ketan Ali Raghu , Lia Zheng

Neural reasoners such as Tiny Recursive Models (TRMs) solve complex problems by combining neural backbones with specialized inference schemes. Such inference schemes have been a central component of stochastic reasoning systems, where…

Machine Learning · Computer Science 2026-03-06 Mieszko Komisarczyk , Saurabh Mathur , Maurice Kraus , Sriraam Natarajan , Kristian Kersting

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 Tab-TRM (Tabular-Tiny Recursive Model), a network architecture that adapts the recursive latent reasoning paradigm of Tiny Recursive Models (TRMs) to insurance modeling. Drawing inspiration from both the Hierarchical Reasoning…

Machine Learning · Computer Science 2026-01-13 Kishan Padayachy , Ronald Richman , Mario V. Wüthrich

Reservoir computing (RC), first applied to temporal signal processing, is a recurrent neural network in which neurons are randomly connected. Once initialized, the connection strengths remain unchanged. Such a simple structure turns RC into…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Heng Zhang , Danilo Vasconcellos Vargas

We study a novel language model architecture that is capable of scaling test-time computation by implicitly reasoning in latent space. Our model works by iterating a recurrent block, thereby unrolling to arbitrary depth at test-time. This…

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

In control applications there is often a compromise that needs to be made with regards to the complexity and performance of the controller and the computational resources that are available. For instance, the typical hardware platform in…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

Current large language models (LLMs) primarily rely on linear sequence generation and massive parameter counts, yet they severely struggle with complex algorithmic reasoning. While recent reasoning architectures, such as the Hierarchical…

Artificial Intelligence · Computer Science 2026-03-25 Vasiliy A. Es'kin , Mikhail E. Smorkalov

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

Large language models deployed in the wild must adapt to evolving data, user behavior, and task mixtures without erasing previously acquired capabilities. In practice, this remains difficult: sequential updates induce catastrophic…

Machine Learning · Computer Science 2026-04-20 Afshin Khadangi

Prior to the close of the 2025 ARC Prize competition, the leading open source approach - known as TRM, or Tiny Recursive Models - involved training a 7M parameter recursive neural network on augmented variants of ARC tasks. That approach…

Machine Learning · Computer Science 2025-11-06 Ronan Killian McGovern

Tiny Recursive Models (TRM) achieve strong results on reasoning tasks through iterative refinement of a shared network. We investigate whether these recursive mechanisms transfer to Quality Estimation (QE) for low-resource languages using a…

Computation and Language · Computer Science 2026-03-17 Umar Abubacar , Roman Bauer , Diptesh Kanojia

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

Recently, small models with latent recursion have obtained promising results on complex reasoning tasks. These results are typically explained by the theory that such recursion increases a networks depth, allowing it to compactly emulate…

Computation and Language · Computer Science 2026-02-06 Arip Asadulaev , Rayan Banerjee , Fakhri Karray , Martin Takac
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