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Related papers: The Quantization Model of Neural Scaling

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Quantization techniques can reduce the size of Deep Neural Networks and improve inference latency and throughput by taking advantage of high throughput integer instructions. In this paper we review the mathematical aspects of quantization…

Machine Learning · Computer Science 2020-04-22 Hao Wu , Patrick Judd , Xiaojie Zhang , Mikhail Isaev , Paulius Micikevicius

Scale is often attributed as one of the factors that cause an increase in the performance of LLMs, resulting in models with billion and trillion parameters. One of the limitations of such large models is the high computational requirements…

Machine Learning · Computer Science 2024-05-09 Sher Badshah , Hassan Sajjad

Despite the popularity and success of deep learning, there is limited understanding of when, how, and why neural networks generalize to unseen examples. Since learning can be seen as extracting information from data, we formally study…

Machine Learning · Computer Science 2023-06-29 Hrayr Harutyunyan

We consider machine learning applications that train a model by leveraging data distributed over a trusted network, where communication constraints can create a performance bottleneck. A number of recent approaches propose to overcome this…

Machine Learning · Computer Science 2021-09-10 Osama A. Hanna , Yahya H. Ezzeldin , Christina Fragouli , Suhas Diggavi

The scientific scale-up of large language models (LLMs) necessitates a comprehensive understanding of their scaling properties. However, the existing literature on the scaling properties only yields an incomplete answer: optimization loss…

Computation and Language · Computer Science 2024-04-18 Shengding Hu , Xin Liu , Xu Han , Xinrong Zhang , Chaoqun He , Weilin Zhao , Yankai Lin , Ning Ding , Zebin Ou , Guoyang Zeng , Zhiyuan Liu , Maosong Sun

Post-training quantization is a key technique for reducing the memory and inference latency of large language models by quantizing weights and activations without requiring retraining. However, existing methods either (1) fail to account…

Machine Learning · Computer Science 2025-09-23 Jinuk Kim , Marwa El Halabi , Wonpyo Park , Clemens JS Schaefer , Deokjae Lee , Yeonhong Park , Jae W. Lee , Hyun Oh Song

Empirical science of neural scaling laws is a rapidly growing area of significant importance to the future of machine learning, particularly in the light of recent breakthroughs achieved by large-scale pre-trained models such as GPT-3, CLIP…

Machine Learning · Computer Science 2021-10-20 Gabriele Prato , Simon Guiroy , Ethan Caballero , Irina Rish , Sarath Chandar

Recent research across mathematical problem solving, proof assistant programming and multimodal jailbreaking documents a striking finding: when (multimodal) language model tackle a suite of tasks with multiple attempts per task --…

Artificial Intelligence · Computer Science 2025-02-26 Rylan Schaeffer , Joshua Kazdan , John Hughes , Jordan Juravsky , Sara Price , Aengus Lynch , Erik Jones , Robert Kirk , Azalia Mirhoseini , Sanmi Koyejo

Quantization-Aware Training (QAT) is one of the prevailing neural network compression solutions. However, its stability has been challenged for yielding deteriorating performances as the quantization error is inevitable. We find that the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Junbiao Pang , Tianyang Cai

Machine learning, and in particular neural network models, have revolutionized fields such as image, text, and speech recognition. Today, many important real-world applications in these areas are driven by neural networks. There are also…

Probability · Mathematics 2019-11-12 Justin Sirignano , Konstantinos Spiliopoulos

A quadratic approximation of neural network loss landscapes has been extensively used to study the optimization process of these networks. Though, it usually holds in a very small neighborhood of the minimum, it cannot explain many…

Machine Learning · Computer Science 2022-06-23 Chao Ma , Daniel Kunin , Lei Wu , Lexing Ying

Hallucination is a persistent challenge in large language models (LLMs), where even with rigorous quality control, models often generate distorted facts. This paradox, in which error generation continues despite high-quality training data,…

Computation and Language · Computer Science 2025-02-25 Yuji Zhang , Sha Li , Cheng Qian , Jiateng Liu , Pengfei Yu , Chi Han , Yi R. Fung , Kathleen McKeown , Chengxiang Zhai , Manling Li , Heng Ji

Large language models have achieved significant advancements in complex mathematical reasoning benchmarks, such as MATH. However, their substantial computational requirements present challenges for practical deployment. Model quantization…

Computation and Language · Computer Science 2025-02-25 Zhen Li , Yupeng Su , Runming Yang , Congkai Xie , Zheng Wang , Zhongwei Xie , Ngai Wong , Hongxia Yang

Convolutional Neural Networks (CNNs) and their quantized counterparts are vulnerable to extraction attacks, posing a significant threat of IP theft. Yet, the robustness of quantized models against these attacks is little studied compared to…

Machine Learning · Computer Science 2026-01-01 Kacem Khaled , Felipe Gohring de Magalhães , Gabriela Nicolescu

Model compression has gained a lot of attention due to its ability to reduce hardware resource requirements significantly while maintaining accuracy of DNNs. Model compression is especially useful for memory-intensive recurrent neural…

Machine Learning · Computer Science 2018-05-30 Dongsoo Lee , Byeongwook Kim

We study the data-scaling of transfer learning from foundation models in the low-downstream-data regime. We observe an intriguing phenomenon which we call cliff-learning. Cliff-learning refers to regions of data-scaling laws where…

Machine Learning · Computer Science 2023-06-08 Tony T. Wang , Igor Zablotchi , Nir Shavit , Jonathan S. Rosenfeld

Machine learning techniques have been successfully applied to classifying an extensive range of phenomena in quantum theory. From detecting quantum phase transitions to identifying Bell non-locality, it has been established that classical…

Quantum Physics · Physics 2022-09-28 Thaís M. Acácio , Cristhiano Duarte

Quantum neural networks have been widely studied in recent years, given their potential practical utility and recent results regarding their ability to efficiently express certain classical data. However, analytic results to date rely on…

Quantum Physics · Physics 2023-06-13 Eric R. Anschuetz , Hong-Ye Hu , Jin-Long Huang , Xun Gao

Large Language Models (LLMs) are known to memorize portions of their training data, sometimes even reproduce content verbatim when prompted appropriately. Despite substantial interest, existing LLM memorization research has offered limited…

Computation and Language · Computer Science 2026-04-21 Yizhan Huang , Zhe Yang , Meifang Chen , Huang Nianchen , Jianping Zhang , Michael R. Lyu

Scaling laws for neural networks, in which the loss decays as a power-law in the number of parameters, data, and compute, depend fundamentally on the spectral structure of the data covariance, with power-law eigenvalue decay appearing…

Machine Learning · Statistics 2026-03-17 Elliot Paquette , Ke Liang Xiao , Yizhe Zhu
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