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Recursive learning -- where models are trained on data generated by previous versions of themselves -- is increasingly common in large language models, autonomous agents, and self-supervised systems. However, standard performance metrics…

Machine Learning · Computer Science 2026-05-20 Zhipeng Zhang

For a fixed positive integer $\;k,\;$ limit laws of linearly normalized $\;k$-th upper order statistics are well known. In this article, a comprehensive study of tail behaviours of limit laws of normalized $k$-th upper order statistics…

Probability · Mathematics 2015-12-11 Sreenivasan Ravi , Mandagere Chandrashekhar Manohar

Deep semi-supervised learning (SSL) has experienced significant attention in recent years, to leverage a huge amount of unlabeled data to improve the performance of deep learning with limited labeled data. Pseudo-labeling is a popular…

Computer Vision and Pattern Recognition · Computer Science 2021-08-16 Xiaopeng Yan , Riquan Chen , Litong Feng , Jingkang Yang , Huabin Zheng , Wayne Zhang

Self-supervised learning (SSL) as an effective paradigm of representation learning has achieved tremendous success on various curated datasets in diverse scenarios. Nevertheless, when facing the long-tailed distribution in real-world…

Machine Learning · Computer Science 2023-10-27 Zhihan Zhou , Jiangchao Yao , Feng Hong , Ya Zhang , Bo Han , Yanfeng Wang

Temporal Knowledge Graph (TKG) completion models traditionally assume access to the entire graph during training. This overlooks challenges stemming from the evolving nature of TKGs, such as: (i) the model's requirement to generalize and…

Artificial Intelligence · Computer Science 2025-07-28 Mehrnoosh Mirtaheri , Ryan A. Rossi , Sungchul Kim , Kanak Mahadik , Tong Yu , Xiang Chen , Mohammad Rostami

The efficiency of large language models (LLMs) is fundamentally limited by their sequential, token-by-token generation process. We argue that overcoming this bottleneck requires a new design axis for LLM scaling: increasing the semantic…

Computation and Language · Computer Science 2025-11-03 Chenze Shao , Darren Li , Fandong Meng , Jie Zhou

We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions…

Machine Learning · Statistics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

Integrating supervised contrastive loss to cross entropy-based communication has recently been proposed as a solution to address the long-tail learning problem. However, when the class imbalance ratio is high, it requires adjusting the…

Machine Learning · Computer Science 2024-07-10 Charika De Alvis , Dishanika Denipitiyage , Suranga Seneviratne

Long-tailed data is prevalent in real-world classification tasks and heavily relies on supervised information, which makes the annotation process exceptionally labor-intensive and time-consuming. Unfortunately, despite being a common…

Machine Learning · Computer Science 2024-12-04 Meng Wei , Zhongnian Li , Yong Zhou , Xinzheng Xu

We propose GradTail, an algorithm that uses gradients to improve model performance on the fly in the face of long-tailed training data distributions. Unlike conventional long-tail classifiers which operate on converged - and possibly…

Machine Learning · Computer Science 2022-01-20 Zhao Chen , Vincent Casser , Henrik Kretzschmar , Dragomir Anguelov

Large language models (LLMs) have been widely employed across various application domains, yet their black-box nature poses significant challenges to understanding how these models process input data internally to make predictions. In this…

Machine Learning · Computer Science 2025-09-03 Hangfeng He , Weijie J. Su

Gradient clipping is a standard safeguard for training neural networks under noisy, heavy-tailed stochastic gradients; yet, most clipping rules treat all parameters as vectors and ignore the matrix structure of modern architectures. We show…

Machine Learning · Computer Science 2026-05-13 Alexander Yukhimchuk , Mladen Kolar , Martin Takáč , Sayantan Choudhury

Differentially private (DP) linear regression has received significant attention in the recent theoretical literature, with several approaches proposed to improve error rates. Our work considers the popular high-dimensional regime with…

Machine Learning · Statistics 2026-04-28 Simone Bombari , Jialei Luo , Inbar Seroussi , Marco Mondelli

There is a recent trend in machine learning to increase model quality by growing models to sizes previously thought to be unreasonable. Recent work has shown that autoregressive generative models with cross-entropy objective functions…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-18 Jasha Droppo , Oguz Elibol

We investigate the late time behavior of a scalar field on a fixed Kerr background using a 2+1 dimensional pseudospectral evolution code. We compare evolutions of pure axisymmetric multipoles in both Kerr-Schild and Boyer-Lindquist…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manuel Tiglio , Lawrence Kidder , Saul Teukolsky

Whether Large Language Models (LLMs) develop coherent internal world models remains a core debate. While conventional Next-Token Prediction (NTP) focuses on one-step-ahead supervision, Multi-Token Prediction (MTP) has shown promise in…

Machine Learning · Computer Science 2026-04-21 Qimin Zhong , Hao Liao , Haiming Qin , Mingyang Zhou , Rui Mao , Wei Chen , Naipeng Chao

Large Language Models (LLMs) represent a promising frontier for recommender systems, yet their development has been impeded by the absence of predictable scaling laws, which are crucial for guiding research and optimizing resource…

Information Retrieval · Computer Science 2026-02-16 Benyu Zhang , Qiang Zhang , Jianpeng Cheng , Hong-You Chen , Qifei Wang , Wei Sun , Shen Li , Jia Li , Jiahao Wu , Xiangjun Fan , Hong Yan

Neural scaling laws have become foundational for optimizing large language model (LLM) training, yet they typically assume a single dense model output. This limitation effectively overlooks "Familial models, a transformative paradigm…

Machine Learning · Computer Science 2026-01-26 Huan Song , Qingfei Zhao , Ting Long , Shuyu Tian , Hongjun An , Jiawei Shao , Xuelong Li

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

We study in-context learning (ICL) of linear regression in a deep linear self-attention model, characterizing how performance depends on various computational and statistical resources (width, depth, number of training steps, batch size and…

Machine Learning · Statistics 2025-10-02 Blake Bordelon , Mary I. Letey , Cengiz Pehlevan
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