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Large language models (LLMs) have shown promise in formal theorem proving, but their token-level processing often fails to capture the inherent hierarchical nature of mathematical proofs. We introduce \textbf{Hierarchical Attention}, a…

Machine Learning · Computer Science 2025-04-29 Jianlong Chen , Chao Li , Yang Yuan , Andrew C Yao

Learning both hierarchical and temporal representation has been among the long-standing challenges of recurrent neural networks. Multiscale recurrent neural networks have been considered as a promising approach to resolve this issue, yet…

Machine Learning · Computer Science 2017-03-10 Junyoung Chung , Sungjin Ahn , Yoshua Bengio

How to obtain hierarchical representations with an increasing level of abstraction becomes one of the key issues of learning with deep neural networks. A variety of RNN models have recently been proposed to incorporate both explicit and…

Computation and Language · Computer Science 2022-01-25 Zhaoxin Luo , Michael Zhu

Transformers have supplanted recurrent models in a large number of NLP tasks. However, the differences in their abilities to model different syntactic properties remain largely unknown. Past works suggest that LSTMs generalize very well on…

Computation and Language · Computer Science 2020-10-09 Satwik Bhattamishra , Kabir Ahuja , Navin Goyal

Large Language Models (LLMs) achieve strong performance through extended inference-time deliberation, yet how their reasoning failures arise remains poorly understood. By analyzing model-generated reasoning trajectories, we find that errors…

Artificial Intelligence · Computer Science 2026-04-17 Wei Zhu , Jian Zhang , Lixing Yu , Kun Yue , Zhiwen Tang

Manifestly and logically displaying the line of reasoning from evidence to answer is significant to explainable question answering (QA). The entailment tree exhibits the lines structurally, which is different from the self-explanation…

Computation and Language · Computer Science 2024-09-27 Qin Wang , Jianzhou Feng , Yiming Xu

Neural networks have become the technique of choice for OCR, but many aspects of how and why they deliver superior performance are still unknown. One key difference between current neural network techniques using LSTMs and the previous…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Ekraam Sabir , Stephen Rawls , Prem Natarajan

Large Reasoning Models (LRMs) increasingly rely on reasoning traces with complex internal structures. However, existing work lacks a unified answer to three fundamental questions: (1) what defines high-quality reasoning, (2) how to reliably…

Computation and Language · Computer Science 2026-02-10 Haoran Zhang , Yafu Li , Zhi Wang , Zhilin Wang , Shunkai Zhang , Xiaoye Qu , Yu Cheng

Designing models that can learn to reason in a systematic way is an important and long-standing challenge. In recent years, a wide range of solutions have been proposed for the specific case of systematic relational reasoning, including…

Artificial Intelligence · Computer Science 2025-10-28 Anirban Das , Irtaza Khalid , Rafael Peñaloza , Steven Schockaert

This paper develops a general framework for learning interpretable data representation via Long Short-Term Memory (LSTM) recurrent neural networks over hierarchal graph structures. Instead of learning LSTM models over the pre-fixed…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Xiaodan Liang , Liang Lin , Xiaohui Shen , Jiashi Feng , Shuicheng Yan , Eric P. Xing

When trained on language data, do transformers learn some arbitrary computation that utilizes the full capacity of the architecture or do they learn a simpler, tree-like computation, hypothesized to underlie compositional meaning systems…

Computation and Language · Computer Science 2022-11-07 Shikhar Murty , Pratyusha Sharma , Jacob Andreas , Christopher D. Manning

Higher-order networks, naturally described as hypergraphs, are essential for modeling real-world systems involving interactions among three or more entities. Stochastic block models offer a principled framework for characterizing mesoscale…

Social and Information Networks · Computer Science 2025-11-27 Kazuki Nakajima , Yuya Sasaki , Takeaki Uno , Masaki Aida

Large language models often struggle with complex long-horizon analytical tasks over unstructured tables, which typically feature hierarchical and bidirectional headers and non-canonical layouts. We formalize this challenge as Deep Tabular…

Artificial Intelligence · Computer Science 2026-03-13 Junnan Dong , Chuang Zhou , Zheng Yuan , Yifei Yu , Qiufeng Wang , Yinghui Li , Siyu An , Di Yin , Xing Sun , Feiyue Huang

Large Language Models (LLMs) have shown to be capable of various tasks, yet their capability in interpreting and reasoning over tabular data remains an underexplored area. In this context, this study investigates from three core…

Computation and Language · Computer Science 2023-12-29 Tianyang Liu , Fei Wang , Muhao Chen

Test-time compute is emerging as a new paradigm for enhancing language models' complex multi-step reasoning capabilities, as demonstrated by the success of OpenAI's o1 and o3, as well as DeepSeek's R1. Compared to explicit reasoning in…

Computation and Language · Computer Science 2025-06-03 Tianhe Lin , Jian Xie , Siyu Yuan , Deqing Yang

We investigate multi-scale transformer language models that learn representations of text at multiple scales, and present three different architectures that have an inductive bias to handle the hierarchical nature of language. Experiments…

Computation and Language · Computer Science 2020-05-05 Sandeep Subramanian , Ronan Collobert , Marc'Aurelio Ranzato , Y-Lan Boureau

Outcomes with a natural order commonly occur in prediction tasks and often the available input data are a mixture of complex data like images and tabular predictors. Deep Learning (DL) models are state-of-the-art for image classification…

Machine Learning · Statistics 2021-04-21 Lucas Kook , Lisa Herzog , Torsten Hothorn , Oliver Dürr , Beate Sick

The ability to robustly identify causal relationships is essential for autonomous decision-making and adaptation to novel scenarios. However, accurately inferring causal structure requires integrating both world knowledge and abstract…

Machine Learning · Computer Science 2025-06-17 Khurram Yamin , Shantanu Gupta , Gaurav R. Ghosal , Zachary C. Lipton , Bryan Wilder

We are interested in understanding how well Transformer language models (TLMs) can perform reasoning tasks when trained on knowledge encoded in the form of natural language. We investigate their systematic generalization abilities on a…

Machine Learning · Computer Science 2020-10-22 Nicolas Gontier , Koustuv Sinha , Siva Reddy , Christopher Pal

Language models are now capable of solving tasks that require dealing with long sequences consisting of hundreds of thousands of tokens. However, they often fail on tasks that require repetitive use of simple rules, even on sequences that…

Computation and Language · Computer Science 2024-02-21 Mirelle Bueno , Roberto Lotufo , Rodrigo Nogueira