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Inductive reasoning is an essential capability for large language models (LLMs) to achieve higher intelligence, which requires the model to generalize rules from observed facts and then apply them to unseen examples. We present MIRAGE, a…

Computation and Language · Computer Science 2025-03-03 Jiachun Li , Pengfei Cao , Zhuoran Jin , Yubo Chen , Kang Liu , Jun Zhao

Chain-of-thought prompting (e.g., "Let's think step-by-step") primes large language models to verbalize rationalization for their predictions. While chain-of-thought can lead to dramatic performance gains, benefits appear to emerge only for…

Computation and Language · Computer Science 2024-04-17 Liunian Harold Li , Jack Hessel , Youngjae Yu , Xiang Ren , Kai-Wei Chang , Yejin Choi

The current standard approach to scaling transformer language models trains each model size from a different random initialization. As an alternative, we consider a staged training setup that begins with a small model and incrementally…

Computation and Language · Computer Science 2022-03-15 Sheng Shen , Pete Walsh , Kurt Keutzer , Jesse Dodge , Matthew Peters , Iz Beltagy

We introduce a new paradigm of learning for reasoning, understanding, and prediction, as well as the scaffolding network to implement this paradigm. The scaffolding network embodies an incremental learning approach that is formulated as a…

Computation and Language · Computer Science 2017-05-23 Asli Celikyilmaz , Li Deng , Lihong Li , Chong Wang

Beyond the great cognitive powers showcased by language models, it is crucial to scrutinize whether their reasoning capabilities stem from strong generalization or merely exposure to relevant data. As opposed to constructing increasingly…

Computation and Language · Computer Science 2024-01-02 Hongqiu Wu , Linfeng Liu , Hai Zhao , Min Zhang

Medical language models face critical barriers to real-world clinical reasoning applications. However, mainstream efforts, which fall short in task coverage, lack fine-grained supervision for intermediate reasoning steps, and rely on…

Computation and Language · Computer Science 2025-11-26 Shuyang Jiang , Yusheng Liao , Zhe Chen , Ya Zhang , Yanfeng Wang , Yu Wang

Reasoning-enhanced large language models (LLMs) explicitly generate intermediate reasoning steps prior to generating final answers, helping the model excel in complex problem-solving. In this paper, we demonstrate that this emerging…

Machine Learning · Computer Science 2025-05-22 Tong Wu , Chong Xiang , Jiachen T. Wang , G. Edward Suh , Prateek Mittal

The emergence of Deep Learning has marked a profound shift in machine learning, driven by numerous breakthroughs achieved in recent years. However, as Deep Learning becomes increasingly present in everyday tools and applications, there is a…

Machine Learning · Computer Science 2024-11-18 David W. Romero

Curriculum learning plays a crucial role in enhancing the training efficiency of large language models (LLMs) on reasoning tasks. However, existing methods often fail to adequately account for variations in prompt difficulty or rely on…

Machine Learning · Computer Science 2026-03-24 Yongcheng Zeng , Zexu Sun , Bokai Ji , Erxue Min , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Haifeng Zhang , Xu Chen , Jun Wang

Reinforcement Learning (RL)-based post-training has significantly advanced the complex reasoning capabilities of language models, fostering sophisticated self-reflection processes. However, this ``slow thinking'' paradigm presents a…

Machine Learning · Computer Science 2025-06-24 Xu Wan , Wei Wang , Wenyue Xu , Wotao Yin , Jie Song , Mingyang Sun

Multimodal large language models (MLLMs) promise enhanced reasoning by integrating diverse inputs such as text, vision, and audio. Yet cross-modal reasoning remains underexplored, with conflicting reports on whether added modalities help or…

Computation and Language · Computer Science 2026-05-01 Yucheng Wang , Yifan Hou , Aydin Javadov , Mubashara Akhtar , Mrinmaya Sachan

Test-time scaling (TTS) has been shown to improve the performance of large language models (LLMs) by sampling and aggregating diverse reasoning paths. However, existing research has overlooked a critical issue: selection bias of reasoning…

Artificial Intelligence · Computer Science 2025-09-24 Zongqian Wu , Baoduo Xu , Tianyu Li , Zhu Sun , Xiaofeng Zhu , Lei Feng

The choice of step-size used in Stochastic Gradient Descent (SGD) optimization is empirically selected in most training procedures. Moreover, the use of scheduled learning techniques such as Step-Decaying, Cyclical-Learning, and Warmup to…

Machine Learning · Computer Science 2020-06-12 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Recent advances leverage post-training to enhance model reasoning performance, which typically requires costly training pipelines and still suffers from inefficient, overly lengthy outputs. We introduce Speculative Thinking, a training-free…

Computation and Language · Computer Science 2025-04-18 Wang Yang , Xiang Yue , Vipin Chaudhary , Xiaotian Han

Remarkable progress has been made on automated reasoning with natural text, by using Language Models (LMs) and methods such as Chain-of-Thought and Selection-Inference. These techniques search for proofs in the forward direction from axioms…

Artificial Intelligence · Computer Science 2023-05-30 Mehran Kazemi , Najoung Kim , Deepti Bhatia , Xin Xu , Deepak Ramachandran

This is the second in a series of short reports that seek to help business, education, and policy leaders understand the technical details of working with AI through rigorous testing. In this report, we investigate Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-06-10 Lennart Meincke , Ethan Mollick , Lilach Mollick , Dan Shapiro

LLMs are computationally expensive to pre-train due to their large scale. Model growth emerges as a promising approach by leveraging smaller models to accelerate the training of larger ones. However, the viability of these model growth…

Computation and Language · Computer Science 2024-10-23 Wenyu Du , Tongxu Luo , Zihan Qiu , Zeyu Huang , Yikang Shen , Reynold Cheng , Yike Guo , Jie Fu

Language models achieve impressive performance on a variety of knowledge, language, and reasoning tasks due to the scale and diversity of pretraining data available. The standard training recipe is a two-stage paradigm: pretraining first on…

Computation and Language · Computer Science 2026-03-20 Skyler Seto , Pierre Ablin , Anastasiia Filippova , Jiayuan Ye , Louis Bethune , Angelos Katharopoulos , David Grangier

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the dynamics of stochastic gradient descent over diagonal linear…

Machine Learning · Computer Science 2021-12-08 Scott Pesme , Loucas Pillaud-Vivien , Nicolas Flammarion

The recent trend towards utilisation of reasoning models has improved the performance of Large Language Models (LLMs) across many tasks which involve logical steps. One linguistic task that could benefit from this framing is idiomaticity…

Computation and Language · Computer Science 2025-08-20 Dylan Phelps , Rodrigo Wilkens , Edward Gow-Smith , Thomas Pickard , Maggie Mi , Aline Villavicencio
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