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Quantifying similarity between data objects is an important part of modern data science. Deciding what similarity measure to use is very application dependent. In this paper, we combine insights from systems theory and machine learning, and…

系统与控制 · 计算机科学 2018-03-09 Oliver Lauwers , Bart De Moor

Reliability-oriented sensitivity analysis aims at combining both reliability and sensitivity analyses by quantifying the influence of each input variable of a numerical model on a quantity of interest related to its failure. In particular,…

统计理论 · 数学 2022-10-25 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Following the success of dot-product attention in Transformers, numerous approximations have been recently proposed to address its quadratic complexity with respect to the input length. While these variants are memory and compute efficient,…

计算与语言 · 计算机科学 2021-06-15 Ankit Gupta , Guy Dar , Shaya Goodman , David Ciprut , Jonathan Berant

Distance-based supervised method, the minimal learning machine, constructs a predictive model from data by learning a mapping between input and output distance matrices. In this paper, we propose new methods and evaluate how their core…

The latest generation of transformer-based vision models has proven to be superior to Convolutional Neural Network (CNN)-based models across several vision tasks, largely attributed to their remarkable prowess in relation modeling.…

计算机视觉与模式识别 · 计算机科学 2023-12-29 Quazi Mishkatul Alam , Bilel Tarchoun , Ihsen Alouani , Nael Abu-Ghazaleh

Traditional text classifiers are limited to predicting over a fixed set of labels. However, in many real-world applications the label set is frequently changing. For example, in intent classification, new intents may be added over time…

机器学习 · 计算机科学 2019-11-05 Jeremy Wohlwend , Ethan R. Elenberg , Samuel Altschul , Shawn Henry , Tao Lei

We study conditions under which transformers using soft attention can simulate hard attention, that is, effectively focus all attention on a subset of positions. First, we examine several subclasses of languages recognized by hard-attention…

机器学习 · 计算机科学 2025-06-27 Andy Yang , Lena Strobl , David Chiang , Dana Angluin

Transformer models have emerged as fundamental tools across various scientific and engineering disciplines, owing to their outstanding performance in diverse applications. Despite this empirical success, the theoretical foundations of…

机器学习 · 计算机科学 2026-04-14 Zhen Qin , Jinxin Zhou , Jiachen Jiang , Zhihui Zhu

This paper revisits the special type of a neural network known under two names. In the statistics and machine learning community it is known as a multi-class logistic regression neural network. In the neural network community, it is simply…

机器学习 · 统计学 2021-01-29 Marek Rychlik

Meta-learning that uses implicit gradient have provided an exciting alternative to standard techniques which depend on the trajectory of the inner loop training. Implicit meta-learning (IML), however, require computing $2^{nd}$ order…

机器学习 · 计算机科学 2023-10-31 Fady Rezk

Attention mechanisms have recently boosted performance on a range of NLP tasks. Because attention layers explicitly weight input components' representations, it is also often assumed that attention can be used to identify information that…

计算与语言 · 计算机科学 2019-06-11 Sofia Serrano , Noah A. Smith

Vision-Language Models (VLMs) achieve strong cross-modal performance, yet recent evidence suggests they over-rely on textual descriptions while under-utilizing visual evidence -- a phenomenon termed ``text shortcut learning.'' We propose an…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Lijie Zhou

Real-world classification problems typically exhibit an imbalanced or long-tailed label distribution, wherein many labels are associated with only a few samples. This poses a challenge for generalisation on such labels, and also makes…

The Transformer, with its scaled dot-product attention mechanism, has become a foundational architecture in modern AI. However, this mechanism is computationally intensive and incurs substantial energy costs. We propose a new Transformer…

机器学习 · 计算机科学 2025-08-07 Xin Gao , Xingming Xu , Shirin Amiraslani , Hong Xu

In this paper we characterize sharp time-data tradeoffs for optimization problems used for solving linear inverse problems. We focus on the minimization of a least-squares objective subject to a constraint defined as the sub-level set of a…

信息论 · 计算机科学 2016-01-06 Samet Oymak , Benjamin Recht , Mahdi Soltanolkotabi

Machine learning models are often deployed in different settings than they were trained and validated on, posing a challenge to practitioners who wish to predict how well the deployed model will perform on a target distribution. If an…

机器学习 · 计算机科学 2022-04-12 Mayee Chen , Karan Goel , Nimit S. Sohoni , Fait Poms , Kayvon Fatahalian , Christopher Ré

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

机器学习 · 计算机科学 2025-11-11 Longqing Ye

Linear attention has attracted interest as a computationally efficient approximation to softmax attention, especially for long sequences. Recent studies have explored distilling softmax attention in pre-trained Transformers into linear…

机器学习 · 计算机科学 2025-07-08 Naoki Nishikawa , Rei Higuchi , Taiji Suzuki

We prove that, for the fundamental regression task of learning a single neuron, training a one-hidden layer ReLU network of any width by gradient flow from a small initialisation converges to zero loss and is implicitly biased to minimise…

机器学习 · 计算机科学 2023-10-03 Dmitry Chistikov , Matthias Englert , Ranko Lazic

We propose a probabilistic interpretation of exponential dot product attention of transformers and contrastive learning based off of exponential families. The attention sublayer of transformers is equivalent to a gradient ascent step of the…

机器学习 · 计算机科学 2022-05-03 Alexander Shim