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Instructing the model to generate a sequence of intermediate steps, a.k.a., a chain of thought (CoT), is a highly effective method to improve the accuracy of large language models (LLMs) on arithmetics and symbolic reasoning tasks. However,…

Machine Learning · Computer Science 2024-09-24 Zhiyuan Li , Hong Liu , Denny Zhou , Tengyu Ma

Chain of Thought (CoT) prompting has been shown to significantly improve the performance of large language models (LLMs), particularly in arithmetic and reasoning tasks, by instructing the model to produce intermediate reasoning steps.…

Machine Learning · Computer Science 2025-03-03 Jianhao Huang , Zixuan Wang , Jason D. Lee

We explore the topology of representation manifolds arising in autoregressive neural language models trained on raw text data. In order to study their properties, we introduce tools from computational algebraic topology, which we use as a…

Computation and Language · Computer Science 2024-06-11 Stephen Fitz , Peter Romero , Jiyan Jonas Schneider

Implicit reasoning is the ability of a language model to solve multi-hop reasoning tasks in a single forward pass, without chain of thought. We investigate this capability using GPT2-style language models trained from scratch on controlled…

Computation and Language · Computer Science 2026-02-05 Yuekun Yao , Yupei Du , Dawei Zhu , Michael Hahn , Alexander Koller

Transformer-based models have demonstrated remarkable reasoning abilities, but the mechanisms underlying relational reasoning remain poorly understood. We investigate how transformers perform \textit{transitive inference}, a classic…

Machine Learning · Computer Science 2026-05-12 Jesse Geerts , Andrew Liu , Stephanie Chan , Claudia Clopath , Kimberly Stachenfeld

To what extent can a neural network systematically reason over symbolic facts? Evidence suggests that large pre-trained language models (LMs) acquire some reasoning capacity, but this ability is difficult to control. Recently, it has been…

Computation and Language · Computer Science 2020-11-17 Alon Talmor , Oyvind Tafjord , Peter Clark , Yoav Goldberg , Jonathan Berant

Transformer-based models generate hidden states that are difficult to interpret. In this work, we analyze hidden states and modify them at inference, with a focus on motion forecasting. We use linear probing to analyze whether interpretable…

Machine Learning · Computer Science 2025-05-19 Omer Sahin Tas , Royden Wagner

Mechanistic interpretability aims to reverse engineer neural networks by uncovering which high-level algorithms they implement. Causal abstraction provides a precise notion of when a network implements an algorithm, i.e., a causal model of…

Machine Learning · Computer Science 2025-03-17 Theodora-Mara Pîslar , Sara Magliacane , Atticus Geiger

Predicting a label correctly does not necessarily require representing the operation that produces it. Transformer representations are known to carry label-level information, but whether they encode semantic operations producing those…

Computation and Language · Computer Science 2026-05-26 Nura Aljaafari , Marco Valentino , André Freitas

Large language models (LLMs) have demonstrated remarkable capabilities in tasks requiring reasoning and multi-step problem-solving through the use of chain-of-thought (CoT) prompting. However, generating the full CoT process results in…

Computation and Language · Computer Science 2024-09-16 Tianqiao Liu , Zui Chen , Zitao Liu , Mi Tian , Weiqi Luo

Implicit models, an emerging model class, compute outputs by iterating a single parameter block to a fixed point. This architecture realizes an infinite-depth, weight-tied network that trains with constant memory, significantly reducing…

Machine Learning · Computer Science 2026-04-01 Jialin Liu , Lisang Ding , Stanley Osher , Wotao Yin

Transformers have shown potential in solving wireless communication problems, particularly via in-context learning (ICL), where models adapt to new tasks through prompts without requiring model updates. However, prior ICL-based Transformer…

Machine Learning · Computer Science 2025-06-27 Li Fan , Peng Wang , Jing Yang , Cong Shen

We reveal that transformers trained in an autoregressive manner naturally encode time-delayed causal structures in their learned representations. When predicting future values in multivariate time series, the gradient sensitivities of…

Machine Learning · Computer Science 2026-01-12 Xinyue Wang , Stephen Wang , Biwei Huang

Large language models have shown remarkable reasoning abilities and scaling laws suggest that large parameter count, especially along the depth axis, is the primary driver. In this work, we make a stronger claim -- many reasoning problems…

Computation and Language · Computer Science 2025-02-25 Nikunj Saunshi , Nishanth Dikkala , Zhiyuan Li , Sanjiv Kumar , Sashank J. Reddi

Implicit arguments, which cannot be detected solely through syntactic cues, make it harder to extract predicate-argument tuples. We present a new model for implicit argument prediction that draws on reading comprehension, casting the…

Computation and Language · Computer Science 2018-11-09 Pengxiang Cheng , Katrin Erk

Interpreting the internal activations of neural networks can produce more faithful explanations of their behavior, but is difficult due to the complex structure of activation space. Existing approaches to scalable interpretability use…

Artificial Intelligence · Computer Science 2025-12-18 Vincent Huang , Dami Choi , Daniel D. Johnson , Sarah Schwettmann , Jacob Steinhardt

We establish proof-theoretic, constructive and coalgebraic foundations for proof search in coinductive Horn clause theories. Operational semantics of coinductive Horn clause resolution is cast in terms of coinductive uniform proofs; its…

Logic in Computer Science · Computer Science 2022-03-16 Henning Basold , Ekaterina Komendantskaya , Yue Li

Chain-of-Thought (CoT) and Looped Transformers have been shown to empirically improve performance on reasoning tasks and to theoretically enhance expressivity by recursively increasing the number of computational steps. However, their…

Machine Learning · Computer Science 2025-10-27 Kevin Xu , Issei Sato

Recent research has demonstrated that transformers, particularly linear attention models, implicitly execute gradient-descent-like algorithms on data provided in-context during their forward inference step. However, their capability in…

Machine Learning · Computer Science 2024-10-31 Max Vladymyrov , Johannes von Oswald , Mark Sandler , Rong Ge

Recent theoretical results show transformers cannot express sequential reasoning problems over long inputs, intuitively because their computational depth is bounded. However, prior work treats the depth as a constant, leaving it unclear to…

Machine Learning · Computer Science 2025-11-07 William Merrill , Ashish Sabharwal