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Related papers: Disentangling Geometry, Performance, and Training …

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With the rise of large language models (LLMs) for flexibly processing information as strings, a natural application is regression, specifically by preprocessing string representations into LLM embeddings as downstream features for metric…

Machine Learning · Computer Science 2025-02-18 Eric Tang , Bangding Yang , Xingyou Song

Large language models (LLMs) are pretrained by minimizing the cross-entropy loss for next-token prediction. In this paper, we study whether this optimization strategy can induce geometric structure in the learned model weights and context…

Optimization and Control · Mathematics 2026-05-14 Zhehang Du , Hangfeng He , Weijie Su

Improvements in language model capabilities are often attributed to increasing model size or training data, but in some cases smaller models trained on curated data or with different architectural decisions can outperform larger ones…

We investigate the relationship between representation geometry and neural network performance. Analyzing 52 pretrained ImageNet models across 13 architecture families, we show that effective dimension -- an unsupervised geometric metric --…

Machine Learning · Computer Science 2026-03-04 Sumit Yadav

Low-rank approximations, of the weight and feature space can enhance the performance of deep learning models, whether in terms of improving generalization or reducing the latency of inference. However, there is no clear consensus yet on…

Computation and Language · Computer Science 2024-05-24 Arnav Chavan , Nahush Lele , Deepak Gupta

Powerful sentence encoders trained for multiple languages are on the rise. These systems are capable of embedding a wide range of linguistic properties into vector representations. While explicit probing tasks can be used to verify the…

Computation and Language · Computer Science 2021-09-22 Maarten De Raedt , Fréderic Godin , Pieter Buteneers , Chris Develder , Thomas Demeester

Transformer models have consistently achieved remarkable results in various domains such as natural language processing and computer vision. However, despite ongoing research efforts to better understand these models, the field still lacks…

Machine Learning · Computer Science 2024-10-18 Ilya Kaufman , Omri Azencot

With hundreds of thousands of language models available on Huggingface today, efficiently evaluating and utilizing these models across various downstream, tasks has become increasingly critical. Many existing methods repeatedly learn…

Computation and Language · Computer Science 2024-10-18 Richard Zhuang , Tianhao Wu , Zhaojin Wen , Andrew Li , Jiantao Jiao , Kannan Ramchandran

Deep Metric Learning (DML) is arguably one of the most influential lines of research for learning visual similarities with many proposed approaches every year. Although the field benefits from the rapid progress, the divergence in training…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Karsten Roth , Timo Milbich , Samarth Sinha , Prateek Gupta , Björn Ommer , Joseph Paul Cohen

Large language models (LLMs) achieve remarkable performance through ever-increasing parameter counts, but scaling incurs steep computational costs. To better understand LLM scaling, we study representational differences between LLMs and…

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training…

Machine Learning · Statistics 2026-03-18 Nuri Mert Vural , Alberto Bietti , Mahdi Soltanolkotabi , Denny Wu

High-quality training data is the foundation of machine learning and artificial intelligence, shaping how models learn and perform. Although much is known about what types of data are effective for training, the impact of the data's…

Machine Learning · Computer Science 2025-10-21 Yang Ba , Mohammad Sadeq Abolhasani , Rong Pan

Discrete motion tokenization has recently enabled Large Language Models (LLMs) to serve as versatile backbones for motion understanding and motion-language reasoning. However, existing pipelines typically decouple motion quantization from…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Zhankai Ye , Bofan Li , Yukai Jin , Shuoqiu Li , Wei Wang , Yanfu Zhang , Shangqian Gao , Xin Liu

Transformer-based architectures have become a dominant paradigm in vision and language, but their success is often attributed to large model capacity and massive training data. In this work, we examine how self-supervised pre-training,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Oli Bridge , Huey Sun , Botond Branyicskai-Nagy , Charles D'Ornano , Shomit Basu

Many of the recent remarkable advances in computer vision and language models can be attributed to the success of transfer learning via the pre-training of large foundation models. However, a theoretical framework which explains this…

Machine Learning · Computer Science 2024-12-19 Michael Munn , Benoit Dherin , Javier Gonzalvo

We investigate the geometric structure of learning dynamics in overparameterized transformer models through carefully controlled modular arithmetic tasks. Our primary finding is that despite operating in high-dimensional parameter spaces…

Machine Learning · Computer Science 2026-02-16 Yongzhong Xu

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Large language models (LLMs) have shown remarkable success in language modelling due to scaling laws found in model size and the hidden dimension of the model's text representation. Yet, we demonstrate that compressed representations of…

Computation and Language · Computer Science 2025-02-05 Felix Drinkall , Janet B. Pierrehumbert , Stefan Zohren

Meta-learning aims to leverage information across related tasks to improve prediction on unlabeled data for new tasks when only a small number of labeled observations are available ("few-shot" learning). Increased task diversity is often…

Machine Learning · Statistics 2026-01-16 Saptati Datta , Nicolas W. Hengartner , Yulia Pimonova , Natalie E. Klein , Nicholas Lubbers

We study the topmost weight matrix of neural network language models. We show that this matrix constitutes a valid word embedding. When training language models, we recommend tying the input embedding and this output embedding. We analyze…

Computation and Language · Computer Science 2017-02-22 Ofir Press , Lior Wolf