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Large language models (LLMs) still struggle across tasks outside of high-resource languages. In this work, we investigate cross-lingual transfer to lower-resource languages where task-specific post-training data is scarce. Building on prior…

Computation and Language · Computer Science 2025-10-09 Lucas Bandarkar , Nanyun Peng

Model merging combines multiple expert models - finetuned from a base foundation model on diverse tasks and domains - into a single, more capable model. However, most existing model merging approaches assume that all experts are available…

Machine Learning · Computer Science 2024-12-10 Sebastian Dziadzio , Vishaal Udandarao , Karsten Roth , Ameya Prabhu , Zeynep Akata , Samuel Albanie , Matthias Bethge

We develop task scaling laws and model ladders to predict the individual task performance of pretrained language models (LMs) in the overtrained setting. Standard power laws for language modeling loss cannot accurately model task…

Looping, reusing a block of layers across depth, and depth growing, training shallow-to-deep models by duplicating middle layers, have both been linked to stronger reasoning, but their relationship remains unclear. We provide a mechanistic…

Computation and Language · Computer Science 2026-02-19 Ferdinand Kapl , Emmanouil Angelis , Kaitlin Maile , Johannes von Oswald , Stefan Bauer

Mixture of Experts layers (MoEs) enable efficient scaling of language models through conditional computation. This paper presents a detailed empirical study of how autoregressive MoE language models scale in comparison with dense models in…

Mixture-of-Experts models enable large language models to scale efficiently, as they only activate a subset of experts for each input. Their core mechanisms, Top-k routing and auxiliary load balancing, remain heuristic, however, lacking a…

Machine Learning · Computer Science 2026-01-08 Ye Su , Yong Liu

Recently a number of empirical "universal" scaling law papers have been published, most notably by OpenAI. `Scaling laws' refers to power-law decreases of training or test error w.r.t. more data, larger neural networks, and/or more compute.…

Machine Learning · Computer Science 2021-02-15 Marcus Hutter

Large Language Models (LLMs) have emerged as a milestone in artificial intelligence, and their performance can improve as the model size increases. However, this scaling brings great challenges to training and inference efficiency,…

Artificial Intelligence · Computer Science 2024-12-09 Chaojun Xiao , Jie Cai , Weilin Zhao , Guoyang Zeng , Biyuan Lin , Jie Zhou , Zhi Zheng , Xu Han , Zhiyuan Liu , Maosong Sun

Recent work on neural scaling laws demonstrates that model performance scales predictably with compute budget, model size, and dataset size. In this work, we develop scaling laws based on problem complexity. We analyze two fundamental…

Machine Learning · Computer Science 2025-10-28 Lowell Weissman , Michael Krumdick , A. Lynn Abbott

Scaling laws for language models have often focused on finding the optimal model size and token count for training from scratch. However, achieving this optimal balance requires significant compute resources due to the extensive data…

Computation and Language · Computer Science 2025-04-01 Roseval Malaquias Junior , Ramon Pires , Thales Sales Almeida , Kenzo Sakiyama , Roseli A. F. Romero , Rodrigo Nogueira

This paper investigates the information encoded in the embeddings of large language models (LLMs). We conduct simulations to analyze the representation entropy and discover a power law relationship with model sizes. Building upon this…

Machine Learning · Computer Science 2024-02-07 Zhiquan Tan , Chenghai Li , Weiran Huang

Improving the reasoning capabilities of large language models (LLMs) typically relies either on the model's ability to sample a correct solution to be reinforced or on the existence of a stronger model able to solve the problem. However,…

Machine Learning · Computer Science 2026-02-03 Ethan Mendes , Jungsoo Park , Alan Ritter

Recent empirical studies show three phenomena with increasing size of language models: compute-optimal size scaling, emergent capabilities, and performance plateauing. We present a simple unified mathematical framework to explain all of…

Information Theory · Computer Science 2024-10-17 Anuj K. Nayak , Lav R. Varshney

Language models have long been shown to embed geographical information in their hidden representations. This line of work has recently been revisited by extending this result to Large Language Models (LLMs). In this paper, we propose to…

Computation and Language · Computer Science 2024-03-05 Nathan Godey , Éric de la Clergerie , Benoît Sagot

The scaling law is becoming a fundamental law in many machine learning areas. That is, test error falls off with the power law when increasing training data, model size, and computing resource. However, whether this law is suitable for the…

Software Engineering · Computer Science 2024-02-21 Jiayi Lin , Hande Dong , Yutao Xie , Lei Zhang

Scaling laws describe the relationship between the size of language models and their capabilities. Unlike prior studies that evaluate a model's capability via loss or benchmarks, we estimate the number of knowledge bits a model stores. We…

Computation and Language · Computer Science 2024-04-09 Zeyuan Allen-Zhu , Yuanzhi Li

Pruning has become a widely adopted technique for reducing the hardware requirements of large language models (LLMs). To recover model performance after pruning, post-training is commonly employed to mitigate the resulting performance…

Artificial Intelligence · Computer Science 2025-05-27 Xiaodong Chen , Yuxuan Hu , Xiaokang Zhang , Yanling Wang , Cuiping Li , Hong Chen , Jing Zhang

Model merging has emerged as a promising technique for combining multiple fine-tuned models into a single multitask model without retraining. However, the factors that determine whether merging will succeed or fail remain poorly understood.…

Computation and Language · Computer Science 2026-01-13 Adir Rahamim , Asaf Yehudai , Boaz Carmeli , Leshem Choshen , Yosi Mass , Yonatan Belinkov

When trained on large-scale object classification datasets, certain artificial neural network models begin to approximate core object recognition behaviors and neural response patterns in the primate brain. While recent machine learning…

Machine Learning · Computer Science 2025-11-07 Abdulkadir Gokce , Martin Schrimpf

Neural scaling laws relate loss to model size in large language models (LLMs), yet depth and width may contribute to performance differently, requiring more detailed studies. Here, we quantify how depth affects loss via analysis of LLMs and…

Machine Learning · Computer Science 2026-02-06 Yizhou Liu , Sara Kangaslahti , Ziming Liu , Jeff Gore