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Recent studies have revealed that neural networks learn interpretable algorithms for many simple problems. However, little is known about how these algorithms emerge during training. In this article, I study the training dynamics of a small…

机器学习 · 计算机科学 2024-10-29 Tiberiu Musat

This paper introduces a high-order Markov chain task to investigate how transformers learn to integrate information from multiple past positions with varying statistical significance. We demonstrate that transformers learn this task…

机器学习 · 计算机科学 2026-02-24 Oğuz Kaan Yüksel , Rodrigo Alvarez Lucendo , Nicolas Flammarion

Modular exponentiation is crucial to number theory and cryptography, yet remains largely unexplored from a mechanistic interpretability standpoint. We train a 4-layer encoder-decoder Transformer model to perform this operation and…

机器学习 · 计算机科学 2025-10-24 David Demitri Africa , Sara M. Kapoor , Theo Simon Sorg , Challenger Mishra

We propose a novel framework for image clustering that incorporates joint representation learning and clustering. Our method consists of two heads that share the same backbone network - a "representation learning" head and a "clustering"…

计算机视觉与模式识别 · 计算机科学 2021-07-27 Kien Do , Truyen Tran , Svetha Venkatesh

This paper presents CLUSTERFORMER, a universal vision model that is based on the CLUSTERing paradigm with TransFORMER. It comprises two novel designs: 1. recurrent cross-attention clustering, which reformulates the cross-attention mechanism…

计算机视觉与模式识别 · 计算机科学 2023-10-09 James C. Liang , Yiming Cui , Qifan Wang , Tong Geng , Wenguan Wang , Dongfang Liu

In this paper, I introduce the retrieval problem, a simple yet common reasoning task that can be solved only by transformers with a minimum number of layers, which grows logarithmically with the input size. I empirically show that large…

机器学习 · 计算机科学 2025-10-29 Tiberiu Musat

An approach to improve neural network interpretability is via clusterability, i.e., splitting a model into disjoint clusters that can be studied independently. We define a measure for clusterability and show that pre-trained models form…

机器学习 · 计算机科学 2025-07-28 Satvik Golechha , Maheep Chaudhary , Joan Velja , Alessandro Abate , Nandi Schoots

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

机器学习 · 计算机科学 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Transformers have demonstrated exceptional in-context learning capabilities, yet the theoretical understanding of the underlying mechanisms remains limited. A recent work (Elhage et al., 2021) identified a ``rich'' in-context mechanism…

机器学习 · 计算机科学 2025-01-30 Mingze Wang , Ruoxi Yu , Weinan E , Lei Wu

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

计算机视觉与模式识别 · 计算机科学 2013-08-02 Qiang Qiu , Guillermo Sapiro

Understanding the transformer architecture and its workings is essential for machine learning (ML) engineers. However, truly understanding the transformer architecture can be demanding, even if you have a solid background in machine…

机器学习 · 计算机科学 2025-02-28 Joni-Kristian Kämäräinen

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

计算机视觉与模式识别 · 计算机科学 2014-03-11 Qiang Qiu , Guillermo Sapiro

Transformer models are increasingly prevalent in various applications, yet our understanding of their internal workings remains limited. This paper investigates the modularity and task specialization of neurons within transformer…

机器学习 · 计算机科学 2024-09-02 Nicholas Pochinkov , Thomas Jones , Mohammed Rashidur Rahman

Transformers are built upon multi-head scaled dot-product attention and positional encoding, which aim to learn the feature representations and token dependencies. In this work, we focus on enhancing the distinctive representation by…

计算机视觉与模式识别 · 计算机科学 2022-07-12 Litao Yu , Jian Zhang

Despite the remarkable success of transformer-based models in various real-world tasks, their underlying mechanisms remain poorly understood. Recent studies have suggested that transformers can implement gradient descent as an in-context…

机器学习 · 计算机科学 2024-08-09 Xingwu Chen , Lei Zhao , Difan Zou

Contrastive Learning (CL) has emerged as a powerful method for training feature extraction models using unlabeled data. Recent studies suggest that incorporating a linear projection head post-backbone significantly enhances model…

机器学习 · 计算机科学 2024-10-08 Huanran Li , Daniel Pimentel-Alarcón

Transformers have emerged as a powerful neural network architecture capable of tackling a wide range of learning tasks. In this work, we provide a theoretical analysis of their ability to automatically extract structure from data in an…

机器学习 · 统计学 2025-10-29 Rodrigo Maulen-Soto , Pierre Marion , Claire Boyer

Large language models exhibit sophisticated capabilities, yet understanding how they work internally remains a central challenge. A fundamental obstacle is that training selects for behavior, not circuitry, so many weight configurations can…

机器学习 · 计算机科学 2026-02-27 Joshua S. Schiffman

Deep learning models often rely only on a small set of features even when there is a rich set of predictive signals in the training data. This makes models brittle and sensitive to distribution shifts. In this work, we first examine vision…

计算机视觉与模式识别 · 计算机科学 2023-09-01 Armand Mihai Nicolicioiu , Andrei Liviu Nicolicioiu , Bogdan Alexe , Damien Teney

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

计算机视觉与模式识别 · 计算机科学 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze
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