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We consider the problem of quantifying how an input perturbation impacts the outputs of large language models (LLMs), a fundamental task for model reliability and post-hoc interpretability. A key obstacle in this domain is disentangling the…

Machine Learning · Computer Science 2024-12-03 Paulius Rauba , Qiyao Wei , Mihaela van der Schaar

We introduce general scattering transforms as mathematical models of deep neural networks with l2 pooling. Scattering networks iteratively apply complex valued unitary operators, and the pooling is performed by a complex modulus. An…

Machine Learning · Computer Science 2015-06-26 Stéphane Mallat , Irène Waldspurger

In the last few years, many explanation methods based on the perturbations of input data have been introduced to improve our understanding of decisions made by black-box models. The goal of this work is to introduce a novel perturbation…

Machine Learning · Computer Science 2022-09-20 Minh N. Vu , Huy Q. Mai , My T. Thai

Data augmentation is widely recognized for improving generalization in deep networks, yet its impact on the geometry of learned representations remains poorly understood. In this work, we characterize how different data augmentation…

Machine Learning · Computer Science 2026-05-18 Tianxiao He , Alex H. Williams , Sarah E. Harvey

Recent findings suggest that consecutive layers of neural networks with the ReLU activation function \emph{fold} the input space during the learning process. While many works hint at this phenomenon, an approach to quantify the folding was…

Machine Learning · Computer Science 2025-03-12 Michal Lewandowski , Bernhard Heinzl , Raphael Pisoni , Bernhard A. Moser

Despite advances in Preference Alignment (PA) for Large Language Models (LLMs), mainstream methods like Reinforcement Learning with Human Feedback (RLHF) face notable challenges. These approaches require high-quality datasets of positive…

Machine Learning · Computer Science 2025-04-10 Xiaohua Feng , Yuyuan Li , Huwei Ji , Jiaming Zhang , Li Zhang , Tianyu Du , Chaochao Chen

Deep neural networks tend to exhibit a bias toward low-rank solutions during training, implicitly learning low-dimensional feature representations. This paper investigates how deep multilayer perceptrons (MLPs) encode these feature…

Machine Learning · Computer Science 2024-10-11 Niket Patel , Ravid Shwartz-Ziv

Neural networks leverage robust internal representations in order to generalise. Learning them is difficult, and often requires a large training set that covers the data distribution densely. We study a common setting where our task is not…

Deep Neural Networks are well known for efficiently fitting training data, yet experiencing poor generalization capabilities whenever some kind of bias dominates over the actual task labels, resulting in models learning "shortcuts". In…

Machine Learning · Computer Science 2024-08-12 Pietro Morerio , Ruggero Ragonesi , Vittorio Murino

Adversarial attacks against machine learning models have threatened various real-world applications such as spam filtering and sentiment analysis. In this paper, we propose a novel framework, learning to DIScriminate Perturbations (DISP),…

Computation and Language · Computer Science 2019-09-10 Yichao Zhou , Jyun-Yu Jiang , Kai-Wei Chang , Wei Wang

In this paper, we propose a probabilistic representation of MultiLayer Perceptrons (MLPs) to improve the information-theoretic interpretability. Above all, we demonstrate that the activations being i.i.d. is not valid for all the hidden…

Machine Learning · Computer Science 2020-10-28 Xinjie Lan , Kenneth E. Barner

Neural networks adapt through first-order parameter updates, yet it remains unclear whether such updates preserve logical coherence. We investigate the geometric limits of the Linear Propagation Assumption (LPA), the premise that local…

Machine Learning · Computer Science 2026-05-26 Hoyeon Chang , Bálint Mucsányi , Seong Joon Oh

Designing learning systems which are invariant to certain data transformations is critical in machine learning. Practitioners can typically enforce a desired invariance on the trained model through the choice of a network architecture, e.g.…

Machine Learning · Computer Science 2022-10-26 Cédric Rommel , Thomas Moreau , Alexandre Gramfort

We introduce collaborative learning in which multiple classifier heads of the same network are simultaneously trained on the same training data to improve generalization and robustness to label noise with no extra inference cost. It…

Machine Learning · Statistics 2018-11-08 Guocong Song , Wei Chai

Deep learning is also known as hierarchical learning, where the learner _learns_ to represent a complicated target function by decomposing it into a sequence of simpler functions to reduce sample and time complexity. This paper formally…

Machine Learning · Computer Science 2023-07-10 Zeyuan Allen-Zhu , Yuanzhi Li

Neural models often exploit superficial features to achieve good performance, rather than deriving more general features. Overcoming this tendency is a central challenge in areas such as representation learning and ML fairness. Recent work…

Computation and Language · Computer Science 2020-10-12 Rohan Jha , Charles Lovering , Ellie Pavlick

We consider neural networks with a single hidden layer and non-decreasing homogeneous activa-tion functions like the rectified linear units. By letting the number of hidden units grow unbounded and using classical non-Euclidean…

Machine Learning · Computer Science 2016-11-01 Francis Bach

Lateral inhibitory connections have been observed in the cortex of the biological brain, and has been extensively studied in terms of its role in cognitive functions. However, in the vanilla version of backpropagation in deep learning, all…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Lei Jiang , Yongqing Liu , Shihai Xiao , Yansong Chua

Deep neural networks typically rely on the representation produced by their final hidden layer to make predictions, implicitly assuming that this single vector fully captures the semantics encoded across all preceding transformations.…

Machine Learning · Computer Science 2025-11-18 Gennaro Vessio

A key to deciphering the inner workings of neural networks is understanding what a model has learned. Promising methods for discovering learned features are based on analyzing activation values, whereby current techniques focus on analyzing…

Machine Learning · Computer Science 2022-06-23 Alex Bäuerle , Daniel Jönsson , Timo Ropinski
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