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The scaling law, a cornerstone of Large Language Model (LLM) development, predicts improvements in model performance with increasing computational resources. Yet, while empirically validated, its theoretical underpinnings remain poorly…

机器学习 · 计算机科学 2026-02-03 Chiwun Yang

Recently, Large Language Models (LLMs) have achieved remarkable success. A key factor behind this success is the scaling law observed by OpenAI. Specifically, for models with Transformer architecture, the test loss exhibits a power-law…

机器学习 · 计算机科学 2025-03-04 Yifang Chen , Xuyang Guo , Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song

Generalization abilities of well-trained large language models (LLMs) are known to scale predictably as a function of model size. In contrast to the existence of practical scaling laws governing pre-training, the quality of LLMs after…

机器学习 · 计算机科学 2024-12-09 Zifei Xu , Alexander Lan , Wanzin Yazar , Tristan Webb , Sayeh Sharify , Xin Wang

Recent advancements in Reinforcement Post-Training (RPT) have significantly enhanced the capabilities of Large Reasoning Models (LRMs), sparking increased interest in the generalization of RL-based reasoning. While existing work has…

计算与语言 · 计算机科学 2025-10-03 Wen Yang , Junhong Wu , Chong Li , Chengqing Zong , Jiajun Zhang

Why do larger language models generalize better? To investigate this question, we develop generalization bounds on the pretraining objective of large language models (LLMs) in the compute-optimal regime, as described by the Chinchilla…

Reasoning is an integral part of many tasks performed by language models (LMs). However, the effects of scaling model sizes and data on reasoning abilities at pretraining time remain understudied. To rigorously investigate this problem, we…

人工智能 · 计算机科学 2025-09-30 Xinyi Wang , Shawn Tan , Shenbo Xu , Mingyu Jin , William Yang Wang , Rameswar Panda , Yikang Shen

Large Language Models (LLMs) are large-scale pretrained models that have achieved remarkable success across diverse domains. These successes have been driven by unprecedented complexity and scale in both data and computations. However, due…

Running faster will only get you so far -- it is generally advisable to first understand where the roads lead, then get a car ... The renaissance of machine learning (ML) and deep learning (DL) over the last decade is accompanied by an…

机器学习 · 计算机科学 2021-08-18 Jonathan S. Rosenfeld

Deep learning (DL) creates impactful advances following a virtuous recipe: model architecture search, creating large training data sets, and scaling computation. It is widely believed that growing training sets and models should improve…

Scaling laws guide the development of large language models (LLMs) by offering estimates for the optimal balance of model size, tokens, and compute. More recently, loss-to-loss scaling laws that relate losses across pretraining datasets and…

机器学习 · 计算机科学 2026-05-21 Prasanna Mayilvahanan , Thaddäus Wiedemer , Sayak Mallick , Matthias Bethge , Wieland Brendel

Large language models (LLMs) have demonstrated remarkable capabilities but often struggle to align with human preferences, leading to harmful or undesirable outputs. Preference learning, which trains models to distinguish between preferred…

机器学习 · 计算机科学 2025-10-16 Shawn Im , Sharon Li

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…

机器学习 · 计算机科学 2023-11-07 Sanjeev Arora , Anirudh Goyal

Scaling laws predict the loss of a target machine learning model by extrapolating from easier-to-train models with fewer parameters or smaller training sets. This provides an efficient way for practitioners and researchers alike to compare…

机器学习 · 计算机科学 2025-06-04 Leshem Choshen , Yang Zhang , Jacob Andreas

We challenge the dominant focus on neural scaling laws and advocate for a paradigm shift toward downscaling in the development of large language models (LLMs). While scaling laws have provided critical insights into performance improvements…

计算与语言 · 计算机科学 2025-05-27 Yash Goel , Ayan Sengupta , Tanmoy Chakraborty

Large Language Models (LLMs) have demonstrated remarkable capabilities, yet their scalability raises a critical question: Have we reached the scaling ceiling? This paper addresses this pivotal question by developing a unified theoretical…

机器学习 · 计算机科学 2024-12-24 Charles Luo

The ever-growing ecosystem of LLMs has posed a challenge in selecting the most appropriate pre-trained model to fine-tune amidst a sea of options. Given constrained resources, fine-tuning all models and making selections afterward is…

机器学习 · 计算机科学 2024-05-29 Haowei Lin , Baizhou Huang , Haotian Ye , Qinyu Chen , Zihao Wang , Sujian Li , Jianzhu Ma , Xiaojun Wan , James Zou , Yitao Liang

The quality of Large Language Model (LLM) pretraining depends on multiple factors, including the compute budget and the choice of optimization algorithm. Empirical scaling laws are widely used to predict loss as model size and training data…

机器学习 · 计算机科学 2026-02-25 Alexandra Volkova , Mher Safaryan , Christoph H. Lampert , Dan Alistarh

Neural scaling laws establish a predictable relationship between model performance and data or compute, offering crucial guidance for resource allocation in new domains and tasks. Yet such laws are most needed precisely where they are…

机器学习 · 计算机科学 2026-05-11 Xing Han , Ziyin Liu , Suchi Saria , Paul Pu Liang

While scaling laws for large language models (LLMs) during pre-training have been extensively studied, their behavior under reinforcement learning (RL) post-training remains largely unexplored. This paper presents a systematic empirical…

Large language models (LLMs) have attracted significant attention due to their impressive general capabilities across diverse downstream tasks. However, without domain-specific optimization, they often underperform on specialized knowledge…

计算与语言 · 计算机科学 2025-09-25 Kangtao Lv , Haibin Chen , Yujin Yuan , Langming Liu , Shilei Liu , Yongwei Wang , Wenbo Su , Bo Zheng
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