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Reinforcement learning with verifiable rewards (RLVR) is a promising approach for training language models (LMs) on reasoning tasks that elicit emergent long chains of thought (CoTs). Unlike supervised learning, it updates the model using…

Computation and Language · Computer Science 2025-10-28 Xinyu Zhu , Mengzhou Xia , Zhepei Wei , Wei-Lin Chen , Danqi Chen , Yu Meng

Reinforcement learning with verifiable rewards (RLVR) has become a highly effective method for improving the reasoning abilities of Large Language Models (LLMs). Recent research shows that Negative Sample Reinforcement (NSR) -- which…

Machine Learning · Computer Science 2026-05-11 Yash Ingle , Jaival Chauhan , Ankit Yadav , Sudhakar Mishra

Recent advances in reasoning language models have witnessed a paradigm shift from short to long CoT pattern. Given the substantial computational cost of rollouts in long CoT models, maximizing the utility of fixed training datasets becomes…

Artificial Intelligence · Computer Science 2025-09-16 Zhaohui Yang , Yuxiao Ye , Shilei Jiang , Chen Hu , Linjing Li , Shihong Deng , Daxin Jiang

Reinforcement Learning with Verifiable Rewards (RLVR) enhances reasoning of Large Language Models (LLMs) but usually exhibits limited generation diversity due to the over-incentivization of positive rewards. Although methods like Negative…

Machine Learning · Computer Science 2026-05-11 Zihan Lin , Xiaohan Wang , Jie Cao , Jiajun Chai , Li Wang , Xiaodong Lu , Wei Lin , Ran He , Guojun Yin

Training on model-generated synthetic data is a promising approach for finetuning LLMs, but it remains unclear when it helps or hurts. In this paper, we investigate this question for math reasoning via an empirical study, followed by…

Machine Learning · Computer Science 2024-06-21 Amrith Setlur , Saurabh Garg , Xinyang Geng , Naman Garg , Virginia Smith , Aviral Kumar

Process Reward Models (PRMs) emerge as a promising approach for process supervision in mathematical reasoning of Large Language Models (LLMs), which aim to identify and mitigate intermediate errors in the reasoning processes. However, the…

Computation and Language · Computer Science 2025-06-06 Zhenru Zhang , Chujie Zheng , Yangzhen Wu , Beichen Zhang , Runji Lin , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

The learn-to-compare paradigm of contrastive representation learning (CRL), which compares positive samples with negative ones for representation learning, has achieved great success in a wide range of domains, including natural language…

Information Retrieval · Computer Science 2022-06-02 Lanling Xu , Jianxun Lian , Wayne Xin Zhao , Ming Gong , Linjun Shou , Daxin Jiang , Xing Xie , Ji-Rong Wen

Discriminative pre-trained language models (PLMs) learn to predict original texts from intentionally corrupted ones. Taking the former text as positive and the latter as negative samples, the PLM can be trained effectively for…

Computation and Language · Computer Science 2022-12-02 Zhuosheng Zhang , Hai Zhao , Masao Utiyama , Eiichiro Sumita

We introduce a novel Pseudo-Negative Regularization (PNR) framework for effective continual self-supervised learning (CSSL). Our PNR leverages pseudo-negatives obtained through model-based augmentation in a way that newly learned…

Machine Learning · Computer Science 2024-06-10 Sungmin Cha , Kyunghyun Cho , Taesup Moon

Large language models (LLMs) solve reasoning problems by first generating a rationale and then answering. We formalize reasoning as a latent variable model and derive a reward-based filtered expectation-maximization (FEM) objective for…

Machine Learning · Computer Science 2026-02-03 Junghyun Lee , Branislav Kveton , Anup Rao , Subhojyoti Mukherjee , Ryan A. Rossi , Sunav Choudhary , Alexa Siu

The performance of Dense retrieval (DR) is significantly influenced by the quality of negative sampling. Traditional DR methods primarily depend on naive negative sampling techniques or on mining hard negatives through external retriever…

Information Retrieval · Computer Science 2024-12-24 Xiaopeng Li , Xiangyang Li , Hao Zhang , Zhaocheng Du , Pengyue Jia , Yichao Wang , Xiangyu Zhao , Huifeng Guo , Ruiming Tang

Convolutional Neural Networks (CNNs) provide excellent performance when used for image classification. The classical method of training CNNs is by labeling images in a supervised manner as in "input image belongs to this label" (Positive…

Machine Learning · Computer Science 2019-08-21 Youngdong Kim , Junho Yim , Juseung Yun , Junmo Kim

Scaling test-time compute brings substantial performance gains for large language models (LLMs). By sampling multiple answers and heuristically aggregate their answers (e.g., either through majority voting or using verifiers to rank the…

Computation and Language · Computer Science 2025-10-13 Jianing Qi , Xi Ye , Hao Tang , Zhigang Zhu , Eunsol Choi

Information Retrieval (IR) is fundamental to many modern NLP applications. The rise of dense retrieval (DR), using neural networks to learn semantic vector representations, has significantly advanced IR performance. Central to training…

Information Retrieval · Computer Science 2026-03-20 Laurin Wischounig , Abdelrahman Abdallah , Adam Jatowt

Large reasoning models (LRMs) are typically trained using reinforcement learning with verifiable reward (RLVR) to enhance their reasoning abilities. In this paradigm, policies are updated using both positive and negative self-generated…

Computation and Language · Computer Science 2025-12-29 Xinyu Tang , Yuliang Zhan , Zhixun Li , Wayne Xin Zhao , Zhenduo Zhang , Zujie Wen , Zhiqiang Zhang , Jun Zhou

Contrastive learning predicts whether two images belong to the same category by training a model to make their feature representations as close or as far away as possible. In this paper, we rethink how to mine samples in contrastive…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Hengkui Dong , Xianzhong Long , Yun Li

Despite recent progress in training long-chain-of-thought reasoning models via scaling reinforcement learning (RL), its underlying training dynamics remain poorly understood, and several counterintuitive behaviors persist. This work focuses…

Machine Learning · Computer Science 2025-11-11 Yongyu Mu , Jiali Zeng , Bei Li , Xinyan Guan , Fandong Meng , Jie Zhou , Tong Xiao , Jingbo Zhu

Unsupervised learning has recently made exceptional progress because of the development of more effective contrastive learning methods. However, CNNs are prone to depend on low-level features that humans deem non-semantic. This dependency…

Computer Vision and Pattern Recognition · Computer Science 2022-01-04 Songwei Ge , Shlok Mishra , Haohan Wang , Chun-Liang Li , David Jacobs

Evaluating natural language generation systems is challenging due to the diversity of valid outputs. While human evaluation is the gold standard, it suffers from inconsistencies, lack of standardisation, and demographic biases, limiting…

Computation and Language · Computer Science 2025-09-11 Hanhua Hong , Chenghao Xiao , Yang Wang , Yiqi Liu , Wenge Rong , Chenghua Lin

Hard negative sampling improves recommendation performance by accelerating convergence and sharpening the decision boundary. However, most existing methods rely on heuristic strategies, selecting negatives from a fixed candidate pool.…

Information Retrieval · Computer Science 2026-01-21 Chu Zhao , Enneng Yang , Yuting Liu , Jianzhe Zhao , Guibing Guo
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