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Current learning models often struggle with human-like systematic generalization, particularly in learning compositional rules from limited data and extrapolating them to novel combinations. We introduce the Neural-Symbolic Recursive…

Machine Learning · Computer Science 2024-04-30 Qing Li , Yixin Zhu , Yitao Liang , Ying Nian Wu , Song-Chun Zhu , Siyuan Huang

Current multimodal models often suffer from shallow reasoning, leading to errors caused by incomplete or inconsistent thought processes. To address this limitation, we propose Self-Verification and Self-Rectification (SVSR), a unified…

Artificial Intelligence · Computer Science 2026-05-29 Zhe Qian , Nianbing Su , Zhonghua Wang , Hebei Li , Zhongxing Xu , Yueying Li , Fei Luo , Zhuohan Ouyang , Yanbiao Ma

Test-time scaling methods improve the capabilities of large language models (LLMs) by increasing the amount of compute used during inference to make a prediction. Inference-time compute can be scaled in parallel by choosing among multiple…

The prevailing paradigm for training large reasoning models--combining Supervised Fine-Tuning (SFT) with Reinforcement Learning with Verifiable Rewards (RLVR)--is fundamentally constrained by its reliance on high-quality, human-annotated…

Machine Learning · Computer Science 2026-03-24 Yuanfu Wang , Zhixuan Liu , Xiangtian Li , Chaochao Lu , Chao Yang

In the unsupervised self-evolution of Multimodal Large Language Models, the quality of feedback signals during post-training is pivotal for stable and effective learning. However, existing self-evolution methods predominantly rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Yunyao Yu , Zhengxian Wu , Zhuohong Chen , Hangrui Xu , Zirui Liao , Xiangwen Deng , Zhifang Liu , Senyuan Shi , Haoqian Wang

We introduce Self-correction Relative Policy Optimization (ScRPO), a novel reinforcement learning framework designed to empower large language models with advanced mathematical reasoning capabilities through iterative self-reflection and…

Artificial Intelligence · Computer Science 2026-01-06 Lianrui Li , Dakuan Lu , Jiawei Shao , Xuelong Li

Iterative self-training (self-distillation) repeatedly refits a model on pseudo-labels generated by its own predictions. We study this procedure in overparameterized linear regression: an initial estimator is trained on noisy labels, and…

Machine Learning · Statistics 2026-02-17 Mingqi Wu , Archer Y. Yang , Qiang Sun

Symbolic regression (SR) has emerged as a pivotal technique for uncovering the intrinsic information within data and enhancing the interpretability of AI models. However, current state-of-the-art (sota) SR methods struggle to perform…

Machine Learning · Computer Science 2025-01-03 Chenglu Sun , Shuo Shen , Wenzhi Tao , Deyi Xue , Zixia Zhou

Test-time Training enables model adaptation using only test questions and offers a promising paradigm for improving the reasoning ability of large language models (LLMs). However, it faces two major challenges: test questions are often…

Computation and Language · Computer Science 2026-03-05 Haoyang He , Zihua Rong , Liangjie Zhao , Yunjia Zhao , Lan Yang , Honggang Zhang

Self-training approach for large language models (LLMs) improves reasoning abilities by training the models on their self-generated rationales. Previous approaches have labeled rationales that produce correct answers for a given question as…

Machine Learning · Computer Science 2025-02-07 Jaehyeok Lee , Keisuke Sakaguchi , JinYeong Bak

Large Language Models (LLMs) have demonstrated remarkable reasoning abilities, yet existing test-time frameworks often rely on coarse self-verification and self-correction, limiting their effectiveness on complex tasks. In this paper, we…

Computation and Language · Computer Science 2025-11-14 Haizhou Shi , Ye Liu , Bo Pang , Zeyu Leo Liu , Hao Wang , Silvio Savarese , Caiming Xiong , Yingbo Zhou , Semih Yavuz

An important result from psycholinguistics (Griffiths & Kalish, 2005) states that no language can be learned iteratively by rational agents in a self-sustaining manner. We show how to modify the learning process slightly in order to achieve…

Optimization and Control · Mathematics 2016-09-14 Bernard Chazelle , Chu Wang

Self-improvement training enables the large reasoning models (LRMs) to improve themselves by self-generating reasoning trajectories as training data without external supervision. However, we find that this method often falls short in…

Computation and Language · Computer Science 2026-05-26 Qihuang Zhong , Liang Ding , Juhua Liu , Bo Du , Leszek Rutkowski , Dacheng Tao

Training language models to produce both correct answers and sound reasoning remains an open challenge. Reinforcement learning with verifiable rewards typically optimizes only final outcomes, which can lead to a failure mode where task…

Computation and Language · Computer Science 2026-05-14 Kyuyoung Kim , Kevin Wang , Yunfei Xie , Peiyang Xu , Peiyao Sheng , Chen Wei , Zhangyang Wang , Jinwoo Shin , Pramod Viswanath , Sewoong Oh

Test-time inference has emerged as a powerful paradigm for enabling language models to ``think'' longer and more carefully about complex challenges, much like skilled human experts. While reinforcement learning (RL) can drive…

Computation and Language · Computer Science 2025-08-18 Kanishk Gandhi , Ayush Chakravarthy , Anikait Singh , Nathan Lile , Noah D. Goodman

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

Large reasoning models (LRMs) achieve remarkable performance via long reasoning chains, but often incur excessive computational overhead due to redundant reasoning, especially on simple tasks. In this work, we systematically quantify the…

Artificial Intelligence · Computer Science 2025-05-26 Xiaoyun Zhang , Jingqing Ruan , Xing Ma , Yawen Zhu , Haodong Zhao , Hao Li , Jiansong Chen , Ke Zeng , Xunliang Cai

Self-improvement at scale has been a longstanding goal for reasoning models, and there are two natural places to do it: at test time, through verification-refinement (V-R) loops; and at training time, through self-training methods. Both are…

Machine Learning · Computer Science 2026-05-29 Chen Henry Wu , Aditi Raghunathan

Existing multi-behavior recommendations tend to prioritize performance at the expense of explainability, while current explainable methods suffer from limited generalizability due to their reliance on external information. Neuro-Symbolic…

Artificial Intelligence · Computer Science 2026-01-30 Yuzhe Chen , Jie Cao , Youquan Wang , Haicheng Tao , Darko B. Vukovic , Jia Wu

Reinforcement learning has been shown to improve the performance of large language models. However, traditional approaches like RLHF or RLAIF treat the problem as single-step. As focus shifts toward more complex reasoning and agentic tasks,…

Artificial Intelligence · Computer Science 2025-04-29 Anna Goldie , Azalia Mirhoseini , Hao Zhou , Irene Cai , Christopher D. Manning
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