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Related papers: Disentangling Geometry, Performance, and Training …

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Language modeling on large-scale datasets leads to impressive performance gains on various downstream language tasks. The validation pre-training loss (or perplexity in autoregressive language modeling) is often used as the evaluation…

Machine Learning · Computer Science 2022-10-26 Hong Liu , Sang Michael Xie , Zhiyuan Li , Tengyu Ma

This paper investigates how adjustments to deep learning architectures impact model performance in image classification. Small-scale experiments generate initial insights although the trends observed are not consistent with the entire…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Haixia Liu , Tim Brailsford , James Goulding , Gavin Smith , Larry Bull

The prevailing paradigm in large language model (LLM) development is to pretrain a base model, then perform further training to improve performance and model behavior. However, hyperparameter optimization and scaling laws have been studied…

Machine Learning · Computer Science 2026-02-12 Tessa Han , Sebastian Bordt , Hanlin Zhang , Sham Kakade

Large language models (LLMs) have revolutionized natural language processing by achieving state-of-the-art performance across various tasks. Recently, their effectiveness as embedding models has gained attention, marking a paradigm shift…

Computation and Language · Computer Science 2025-07-28 Chongyang Tao , Tao Shen , Shen Gao , Junshuo Zhang , Zhen Li , Kai Hua , Wenpeng Hu , Zhengwei Tao , Shuai Ma

The extensive memory footprint of language model (LM) fine-tuning poses a challenge for both researchers and practitioners. LMs use an embedding matrix to represent extensive vocabularies, forming a substantial proportion of the model…

Computation and Language · Computer Science 2025-03-26 Miles Williams , Nikolaos Aletras

Understanding the latent space geometry of large language models (LLMs) is key to interpreting their behavior and improving alignment. Yet it remains unclear to what extent LLMs linearly organize representations related to semantic…

Computation and Language · Computer Science 2026-01-22 Baturay Saglam , Paul Kassianik , Blaine Nelson , Sajana Weerawardhena , Yaron Singer , Amin Karbasi

In this work, we study how well the learned weights of a neural network utilize the space available to them. This notion is related to capacity, but additionally incorporates the interaction of the network architecture with the dataset.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Isha Garg , Christian Koguchi , Eshan Verma , Daniel Ulbricht

Many recent efforts have been devoted to designing sophisticated deep learning structures, obtaining revolutionary results on benchmark datasets. The success of these deep learning methods mostly relies on an enormous volume of labeled…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Jiaji Huang , Qiang Qiu , Robert Calderbank , Guillermo Sapiro

Large-scale transformer models have shown remarkable performance in language modelling tasks. However, such models feature billions of parameters, leading to difficulties in their deployment and prohibitive training costs from scratch. To…

Artificial Intelligence · Computer Science 2023-06-06 Viktoriia Chekalina , Georgii Novikov , Julia Gusak , Ivan Oseledets , Alexander Panchenko

A language model (LM) is a mapping from a linguistic context to an output token. However, much remains to be known about this mapping, including how its geometric properties relate to its function. We take a high-level geometric approach to…

Computation and Language · Computer Science 2025-05-01 Emily Cheng , Diego Doimo , Corentin Kervadec , Iuri Macocco , Jade Yu , Alessandro Laio , Marco Baroni

Representations from large language models (LLMs) are known to be dominated by a small subset of dimensions with exceedingly high variance. Previous works have argued that although ablating these outlier dimensions in LLM representations…

Computation and Language · Computer Science 2024-01-24 William Rudman , Catherine Chen , Carsten Eickhoff

The scaling of large language models (LLMs) emphasizes increasing depth, yet performance gains diminish with added layers. Prior work introduces the concept of "effective depth", arguing that deeper models fail to fully utilize their layers…

Computation and Language · Computer Science 2025-12-17 Yi Hu , Cai Zhou , Muhan Zhang

Decoding methods play an indispensable role in converting language models from next-token predictors into practical task solvers. Prior research on decoding methods, primarily focusing on task-specific models, may not extend to the current…

Computation and Language · Computer Science 2024-10-10 Chufan Shi , Haoran Yang , Deng Cai , Zhisong Zhang , Yifan Wang , Yujiu Yang , Wai Lam

We study low-rank parameterizations of weight matrices with embedded spectral properties in the Deep Learning context. The low-rank property leads to parameter efficiency and permits taking computational shortcuts when computing mappings.…

Machine Learning · Computer Science 2021-07-15 Anton Obukhov , Maxim Rakhuba , Alexander Liniger , Zhiwu Huang , Stamatios Georgoulis , Dengxin Dai , Luc Van Gool

Multimodal representation learning is fundamentally about transforming incomparable modalities into comparable representations. While prior research primarily focused on explicitly aligning these representations through targeted learning…

Machine Learning · Computer Science 2025-06-16 Megan Tjandrasuwita , Chanakya Ekbote , Liu Ziyin , Paul Pu Liang

Embedding of large but redundant data, such as images or text, in a hierarchy of lower-dimensional spaces is one of the key features of representation learning approaches, which nowadays provide state-of-the-art solutions to problems once…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Gianluca Berardi , Luca De Luigi , Samuele Salti , Luigi Di Stefano

In unsupervised representation learning, models aim to distill essential features from high-dimensional data into lower-dimensional learned representations, guided by inductive biases. Understanding the characteristics that make a good…

Machine Learning · Computer Science 2024-10-02 Robin C. Geyer , Alessandro Torcinovich , João B. Carvalho , Alexander Meyer , Joachim M. Buhmann

Pretrained foundation models learn embeddings that can be used for a wide range of downstream tasks. These embeddings optimise general performance, and if insufficiently accurate at a specific task the model can be fine-tuned to improve…

Machine Learning · Computer Science 2025-02-20 Matthew P. Wilson , Edward O. Pyzer-Knapp , Nicolas Galichet , Luke Dicks

Understanding Transformer-based models has attracted significant attention, as they lie at the heart of recent technological advances across machine learning. While most interpretability methods rely on running models over inputs, recent…

Computation and Language · Computer Science 2023-12-27 Guy Dar , Mor Geva , Ankit Gupta , Jonathan Berant

Large Transformer-based language models are pre-trained on corpora of varying sizes, for a different number of steps and with different batch sizes. At the same time, more fundamental components, such as the pre-training objective or…

Computation and Language · Computer Science 2021-05-12 M. Aßenmacher , P. Schulze , C. Heumann