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There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a reasoning system, a deep feedforward neural network is used…

Artificial Intelligence · Computer Science 2018-09-13 Cheng-Hao Cai , Dengfeng Ke , Yanyan Xu , Kaile Su

Large language models trained under diverse objectives and architectures have been shown to develop increasingly similar internal representations, an observation formalized as the Platonic Representation Hypothesis. Whether this…

Computation and Language · Computer Science 2026-05-25 Muhammad Usama , Dong Eui Chang

Languages encode distinct abstractions and inductive priors, yet most large language models (LLMs) overlook this diversity by reasoning in a single dominant language. In this work, we introduce x1, a family of reasoning models that can…

Computation and Language · Computer Science 2026-04-21 Yangfan Ye , Xiaocheng Feng , Xiachong Feng , Yichong Huang , Zekun Yuan , Lei Huang , Weitao Ma , Qichen Hong , Yunfei Lu , Dandan Tu , Bing Qin

Recent studies have shown that Large Language Models (LLMs) can achieve strong reasoning performance by incorporating functional symbolic representations that abstractly describe graph traversal algorithms and step-by-step reasoning in…

Artificial Intelligence · Computer Science 2026-05-28 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

Deep neural networks are composed of layers of parametrised linear operations intertwined with non linear activations. In basic models, such as the multi-layer perceptron, a linear layer operates on a simple input vector embedding of the…

Machine Learning · Computer Science 2020-03-06 Jean-Marc Andreoli

We introduce in-context denoising, a task that refines the connection between attention-based architectures and dense associative memory (DAM) networks, also known as modern Hopfield networks. Using a Bayesian framework, we show…

Machine Learning · Computer Science 2025-06-09 Matthew Smart , Alberto Bietti , Anirvan M. Sengupta

Large-scale neural language models exhibit remarkable performance in in-context learning: the ability to learn and reason about the input context on the fly. This work studies in-context counterfactual reasoning in language models, that is,…

Computation and Language · Computer Science 2025-10-22 Moritz Miller , Bernhard Schölkopf , Siyuan Guo

Retrieval-Augmented Generation (RAG) is a framework for grounding Large Language Models (LLMs) in external, up-to-date information. However, recent advancements in context window size allow LLMs to process inputs of up to 128K tokens or…

Machine Learning · Computer Science 2026-02-26 Seongwoong Shim , Myunsoo Kim , Jae Hyeon Cho , Byung-Jun Lee

The strong performance of vision transformers on image classification and other vision tasks is often attributed to the design of their multi-head attention layers. However, the extent to which attention is responsible for this strong…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Luke Melas-Kyriazi

Data allocation plays a critical role in federated large language model (LLM) and small language models (SLMs) reasoning collaboration. Nevertheless, existing data allocation methods fail to address an under-explored challenge in…

Artificial Intelligence · Computer Science 2026-02-24 Wei Guo , Siyuan Lu , Xiangdong Ran , Yiqi Tong , Yikun Ban , Zelong Xu , Jing Fan , Zixuan Huang , Xiao Zhang , Zhaojun Hu , Fuzhen Zhuang

A discriminatively trained neural net classifier can fit the training data perfectly if all information about its input other than class membership has been discarded prior to the output layer. Surprisingly, past research has discovered…

Machine Learning · Computer Science 2021-07-23 Piotr Teterwak , Chiyuan Zhang , Dilip Krishnan , Michael C. Mozer

In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output.…

Computation and Language · Computer Science 2023-08-15 Shivam Garg , Dimitris Tsipras , Percy Liang , Gregory Valiant

Large Language Models have demonstrated impressive reasoning capabilities across multiple languages. However, the relationship between capabilities in different languages is less explored. In this work, we decompose the process of reasoning…

Computation and Language · Computer Science 2025-03-04 Peng Hu , Sizhe Liu , Changjiang Gao , Xin Huang , Xue Han , Junlan Feng , Chao Deng , Shujian Huang

The impressive performance gains of modern language models currently rely on scaling parameters: larger models store more world knowledge and reason better. Yet compressing all world knowledge into parameters is unnecessary, as only a…

Computation and Language · Computer Science 2026-03-24 Hadi Pouransari , David Grangier , C Thomas , Michael Kirchhof , Oncel Tuzel

Attention mechanisms have become a popular component in deep neural networks, yet there has been little examination of how different influencing factors and methods for computing attention from these factors affect performance. Toward a…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Xizhou Zhu , Dazhi Cheng , Zheng Zhang , Stephen Lin , Jifeng Dai

Autoregressive Large Language Models (LLMs) demonstrate exceptional performance in language understanding and generation. However, their application in text embedding tasks has been relatively slow, along with the analysis of their semantic…

Computation and Language · Computer Science 2025-10-03 Zhaoxin Feng , Jianfei Ma , Emmanuele Chersoni , Xiaojing Zhao , Xiaoyi Bao

Recent work has shown that Transformers can perform in-context learning for linear regression under restrictive assumptions, including i.i.d. data, Gaussian noise, and Gaussian regression coefficients. However, real-world data often violate…

Machine Learning · Computer Science 2026-03-20 Hoang T. H. Cao , Hai D. V. Trinh , Tho Quan , Lan V. Truong

Diffusion large language models (dLLMs) generate text via iterative denoising but consistently underperform on multi-step reasoning. We hypothesize this gap stems from a coordination problem: AR models build coherence token-by-token, while…

Artificial Intelligence · Computer Science 2026-03-17 Earl J St Sauver

In-context learning (ICL) enables large language models (LLMs) to adapt to new tasks without weight updates by learning from demonstration sequences. While ICL shows strong empirical performance, its internal representational mechanisms are…

Computation and Language · Computer Science 2025-10-07 Jiachen Jiang , Yuxin Dong , Jinxin Zhou , Zhihui Zhu

Despite the fact that Transformers perform well in NLP tasks, recent studies suggest that self-attention is theoretically limited in learning even some regular and context-free languages. These findings motivated us to think about their…

Computation and Language · Computer Science 2023-10-20 Shunjie Wang , Shane Steinert-Threlkeld