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How do neural language models acquire a language's structure when trained for next-token prediction? We address this question by deriving theoretical scaling laws for neural network performance on synthetic datasets generated by the Random…

机器学习 · 计算机科学 2025-05-13 Francesco Cagnetta , Alessandro Favero , Antonio Sclocchi , Matthieu Wyart

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

机器学习 · 计算机科学 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Pre-trained large language models (LLMs) exhibit impressive mathematical reasoning capabilities, yet how they compute basic arithmetic, such as addition, remains unclear. This paper shows that pre-trained LLMs add numbers using Fourier…

机器学习 · 计算机科学 2024-06-06 Tianyi Zhou , Deqing Fu , Vatsal Sharan , Robin Jia

Finding semantic correspondences is a challenging problem. With the breakthrough of CNNs stronger features are available for tasks like classification but not specifically for the requirements of semantic matching. In the following we…

计算机视觉与模式识别 · 计算机科学 2019-06-18 Nikolai Ufer , Kam To Lui , Katja Schwarz , Paul Warkentin , Björn Ommer

There is a growing body of work that leverages features extracted via topological data analysis to train machine learning models. While this field, sometimes known as topological machine learning (TML), has seen some notable successes, an…

机器学习 · 计算机科学 2022-11-16 Sarah McGuire , Shane Jackson , Tegan Emerson , Henry Kvinge

Learning features invariant to arbitrary transformations in the data is a requirement for any recognition system, biological or artificial. It is now widely accepted that simple cells in the primary visual cortex respond to features while…

神经与进化计算 · 计算机科学 2020-12-14 Jayanta K. Dutta , Bonny Banerjee

Grokking typically achieves similar loss to ordinary, "steady", learning. We ask whether these different learning paths - grokking versus ordinary training - lead to fundamental differences in the learned models. To do so we compare the…

Large language models (LLMs) learn non-trivial abstractions during pretraining, such as detecting irregular plural noun subjects. However, because traditional evaluation methods (e.g., benchmarking) fail to reveal how models acquire these…

计算与语言 · 计算机科学 2026-05-01 Deniz Bayazit , Aaron Mueller , Antoine Bosselut

Transformer-based self-supervised models are trained as feature extractors and have empowered many downstream speech tasks to achieve state-of-the-art performance. However, both the training and inference process of these models may…

计算与语言 · 计算机科学 2021-05-04 Jinchuan Tian , Rongzhi Gu , Helin Wang , Yuexian Zou

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

机器学习 · 统计学 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

Learning on temporal graphs has become a central topic in graph representation learning, with numerous benchmarks indicating the strong performance of state-of-the-art models. However, recent work has raised concerns about the reliability…

机器学习 · 计算机科学 2026-04-03 Abigail J. Hayes , Tobias Schumacher , Markus Strohmaier

A fundamental problem faced by object recognition systems is that objects and their features can appear in different locations, scales and orientations. Current deep learning methods attempt to achieve invariance to local translations via…

计算机视觉与模式识别 · 计算机科学 2017-12-12 Dimitrios C. Gklezakos , Rajesh P. N. Rao

Random Fourier features provide a way to tackle large-scale machine learning problems with kernel methods. Their slow Monte Carlo convergence rate has motivated the research of deterministic Fourier features whose approximation error can…

机器学习 · 计算机科学 2021-10-20 Frederiek Wesel , Kim Batselier

Transformer-based architectures have been the subject of research aimed at understanding their overparameterization and the non-uniform importance of their layers. Applying these approaches to Automatic Speech Recognition, we demonstrate…

机器学习 · 计算机科学 2022-02-07 Lillian Zhou , Dhruv Guliani , Andreas Kabel , Giovanni Motta , Françoise Beaufays

Understanding reasoning in large language models is complicated by evaluations that conflate multiple reasoning types. We isolate analogical reasoning, where a model transfers an attribute between entities that share known properties, and…

计算与语言 · 计算机科学 2026-05-26 Ruichen Xu , Wenjing Yan , Ying-Jun Angela Zhang

The performance of Neural Network (NN)-based language models is steadily improving due to the emergence of new architectures, which are able to learn different natural language characteristics. This paper presents a novel framework, which…

计算与语言 · 计算机科学 2017-08-24 Youssef Oualil , Dietrich Klakow

The morphological systems of natural languages are replete with examples of the same devices used for multiple purposes: (1) the same type of morphological process (for example, suffixation for both noun case and verb tense) and (2)…

cmp-lg · 计算机科学 2008-02-03 Michael Gasser

Ensembles of Convolutional neural networks have shown remarkable results in learning discriminative semantic features for image classification tasks. Though, the models in the ensemble often concentrate on similar regions in images. This…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Tobias Schlagenhauf , Yiwen Lin , Benjamin Noack

The internal representations learned by language models consistently exhibit striking geometric structure: calendar months organize into a circle, historical years form a smooth one-dimensional manifold, and cities' latitudes and longitudes…

机器学习 · 计算机科学 2026-02-27 Dhruva Karkada , Daniel J. Korchinski , Andres Nava , Matthieu Wyart , Yasaman Bahri

In this paper, we investigate the convergence of language models (LMs) trained under different random seeds, measuring convergence as the expected per-token Kullback--Leibler (KL) divergence across seeds. By comparing LM convergence as a…

计算与语言 · 计算机科学 2025-10-01 Finlay Fehlauer , Kyle Mahowald , Tiago Pimentel
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