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Synthetic data has been proposed as a solution to address the issue of high-quality data scarcity in the training of large language models (LLMs). Studies have shown that synthetic data can effectively improve the performance of LLMs on…

Computation and Language · Computer Science 2024-06-19 Jie Chen , Yupeng Zhang , Bingning Wang , Wayne Xin Zhao , Ji-Rong Wen , Weipeng Chen

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

Traditional scaling laws in natural language processing suggest that increasing model size and training data enhances performance. However, recent studies reveal deviations, particularly in large language models, where performance…

Machine Learning · Computer Science 2025-07-16 Zhengyu Chen , Siqi Wang , Teng Xiao , Yudong Wang , Shiqi Chen , Xunliang Cai , Junxian He , Jingang Wang

The rapid adoption of synthetic data for training Large Language Models (LLMs) has introduced the technical challenge of "model collapse"-a degenerative process where recursive training on model-generated content leads to a contraction of…

Machine Learning · Computer Science 2026-03-24 Yi Gu , Lingyou Pang , Xiangkun Ye , Tianyu Wang , Jianyu Lin , Carey E. Priebe , Alexander Aue

Test-time scaling paradigms have significantly advanced the capabilities of large language models (LLMs) on complex tasks. Despite their empirical success, theoretical understanding of the sample efficiency of various test-time strategies…

Machine Learning · Computer Science 2025-06-13 Baihe Huang , Shanda Li , Tianhao Wu , Yiming Yang , Ameet Talwalkar , Kannan Ramchandran , Michael I. Jordan , Jiantao Jiao

We consider the problem of retraining machine learning (ML) models when new batches of data become available. Existing approaches greedily optimize for predictive power independently at each batch, without considering the stability of the…

Machine Learning · Computer Science 2025-02-05 Dimitris Bertsimas , Vassilis Digalakis , Yu Ma , Phevos Paschalidis

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

General Mathematics · Mathematics 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

This paper presents a neural network filter method based on contraction operators to address model collapse in recursive training of generative models. Unlike \cite{xu2024probabilistic}, which requires superlinear sample growth…

Machine Learning · Computer Science 2025-12-02 Zongjian Han , Yiran Liang , Ruiwen Wang , Yiwei Luo , Yilin Huang , Xiaotong Song , Dongqing Wei

Large language models (LLMs) have achieved widespread success on a variety of in-context few-shot tasks, but this success is typically evaluated via correctness rather than consistency. We argue that self-consistency is an important…

Computation and Language · Computer Science 2024-02-09 Angelica Chen , Jason Phang , Alicia Parrish , Vishakh Padmakumar , Chen Zhao , Samuel R. Bowman , Kyunghyun Cho

A major driver of AI products today is the fact that new skills emerge in language models when their parameter set and training corpora are scaled up. This phenomenon is poorly understood, and a mechanistic explanation via mathematical…

Machine Learning · Computer Science 2023-11-07 Sanjeev Arora , Anirudh Goyal

In language reasoning, longer chains of thought consistently yield better performance, which naturally suggests that visual latent reasoning may likewise benefit from longer latent sequences. However, we discover a counterintuitive…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Chenfeng Wang , Wei He , Xuhan Zhu , Chunpeng Zhou , Qizhen Li , Song Yan , Yufei Zheng , Chengjun Yu , Fan Lu , Wei Zhai , Yang Cao , Pengfei Yu , Zheng-Jun Zha

Learning systems are typically optimized by minimizing loss or maximizing reward, assuming that improvements in these signals reflect progress toward the true objective. However, when feedback reliability is unobservable, this assumption…

Machine Learning · Computer Science 2026-03-24 Zhipeng Zhang , Zhenjie Yao , Kai Li , Lei Yang

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

Quantum Physics · Physics 2025-07-23 Nicolò Piccione , Angelo Bassi

Reinforcement learning has been central to recent advances in large language model reasoning, but most algorithms rely on on-policy training that demands fresh rollouts at every update, limiting efficiency and scalability. Asynchronous RL…

Machine Learning · Computer Science 2025-10-29 Haizhong Zheng , Jiawei Zhao , Beidi Chen

Self-training is a classical approach in semi-supervised learning which is successfully applied to a variety of machine learning problems. Self-training algorithm generates pseudo-labels for the unlabeled examples and progressively refines…

Machine Learning · Computer Science 2020-06-22 Samet Oymak , Talha Cihad Gulcu

Self-supervised learning (SSL) has emerged as an effective paradigm for deriving general representations from vast amounts of unlabeled data. However, as real-world applications continually integrate new content, the high computational and…

Machine Learning · Computer Science 2024-03-28 Wenzhuo Liu , Fei Zhu , Cheng-Lin Liu

The use of synthetically generated data for training models is becoming a common practice. While generated data can augment the training data, repeated training on synthetic data raises concerns about distribution drift and degradation of…

Machine Learning · Computer Science 2025-12-16 Daniil Zverev , A. Sophia Koepke , Joao F. Henriques

Foundation models are increasingly trained on synthetic data generated by prior model iterations rather than exclusively on real data. This self-consuming training paradigm can lead to model collapse, divergence, or bias amplification.…

Artificial Intelligence · Computer Science 2026-05-29 Yang Zhang , Xiukun Wei , Xueru Zhang

Large Language Models (LLMs) display strikingly different generalization behaviors: supervised fine-tuning (SFT) often narrows capability, whereas reinforcement-learning (RL) tuning tends to preserve it. The reasons behind this divergence…

Machine Learning · Computer Science 2026-01-01 Haoyue Bai , Yiyou Sun , Wenjie Hu , Shi Qiu , Maggie Ziyu Huan , Peiyang Song , Robert Nowak , Dawn Song

Large Language Models (LLMs) are pretrained on massive datasets and later instruction-tuned via supervised fine-tuning (SFT) or reinforcement learning (RL). Best practices emphasize large, diverse pretraining data, whereas post-training…

Machine Learning · Computer Science 2026-03-03 Adel Javanmard , Baharan Mirzasoleiman , Vahab Mirrokni