Publications related to Deep Learning Theory Through the Lens of Diagonal Linear Networks

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Giancarlo Ferrari Trecate, Luca Furieri, Clara Lucía Galimberti, Liang Xu

Deep Neural Networks (DNNs) training can be difficult due to vanishing and exploding gradients during weight optimization through backpropagation. To address this problem, we propose a general class of Hamiltonian DNNs (H-DNNs) that stem from the discretiz ...

2023

Exploring neural networks and their potential for species distribution modeling

Devis Tuia, Benjamin Alexander Kellenberger, Nina Marion Aurélia Van Tiel, Robin Adrien Zbinden, Lloyd Haydn Hughes

Species distribution models (SDMs) relate species occurrence data with environmental variables and are used to understand and predict species distributions across landscapes. While some machine learning models have been adopted by the SDM community, recent ...

2023

Incremental Learning in Diagonal Linear Networks

Raphaël Jean Berthier

Diagonal linear networks (DLNs) are a toy simplification of artificial neural networks; they consist in a quadratic reparametrization of linear regression inducing a sparse implicit regularization. In this paper, we describe the trajectory of the gradient ...

Brookline2023

Time Series Analysis of Urban Liveability

Devis Tuia, Diego Marcos Gonzalez, Alex Hubertus Levering

In this paper we explore deep learning models to monitor longitudinal liveability changes in Dutch cities at the neighbourhood level. Our liveability reference data is defined by a country-wise yearly survey based on a set of indicators combined into a liv ...

IEEE2023

Spatially adaptive machine learning models for predicting water quality in Hong Kong

Rongrong Li, Qiaoli Wang, Yu Xu

Water quality prediction in the spatially heterogeneous environment is challenging as the importance of water quality parameters (WQPs) and the performance of prediction models may vary across space. Thus, this study proposed spatially adaptive machine lea ...

ELSEVIER2023

Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks

Sabine Süsstrunk, Mathieu Salzmann, Yulun Jiang, Chen Liu, Zhuoyi Huang

We address the problem of stably and efficiently training a deep neural network robust to adversarial perturbations bounded by an

l_1

norm. We demonstrate that achieving robustness against

l_1

-bounded perturbations is more challenging than in the

l_2

...

2023

Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study

Volkan Cevher, Grigorios Chrysos, Fanghui Liu, Zhenyu Zhu, Yongtao Wu

Neural tangent kernel (NTK) is a powerful tool to analyze training dynamics of neural networks and their generalization bounds. The study on NTK has been devoted to typical neural network architectures, but it is incomplete for neural networks with Hadamar ...

2022

Stop Wasting my FLOPS: Improving the Efficiency of Deep Learning Models

Angelos Katharopoulos

Deep neural networks have completely revolutionized the field of machinelearning by achieving state-of-the-art results on various tasks ranging fromcomputer vision to protein folding. However, their application is hindered bytheir large computational and m ...

EPFL2022

Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks

Florent Gérard Krzakala, Lenka Zdeborová, Ludovic Théo Stephan, Bruno Loureiro

Despite the non-convex optimization landscape, over-parametrized shallow networks are able to achieve global convergence under gradient descent. The picture can be radically different for narrow net-works, which tend to get stuck in badly-generalizing loca ...

2022

Generalization Properties of NAS under Activation and Skip Connection Search

Volkan Cevher, Grigorios Chrysos, Fanghui Liu, Zhenyu Zhu

Neural Architecture Search (NAS) has fostered the automatic discovery of stateof- the-art neural architectures. Despite the progress achieved with NAS, so far there is little attention to theoretical guarantees on NAS. In this work, we study the generaliza ...

2022

Deep Learning Theory Through the Lens of Diagonal Linear Networks

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Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Exploring neural networks and their potential for species distribution modeling

Incremental Learning in Diagonal Linear Networks

Time Series Analysis of Urban Liveability

Spatially adaptive machine learning models for predicting water quality in Hong Kong

Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks

Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study

Stop Wasting my FLOPS: Improving the Efficiency of Deep Learning Models

Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks

Generalization Properties of NAS under Activation and Skip Connection Search

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Spatially adaptive machine learning models for predicting water quality in Hong Kong

Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study

Time Series Analysis of Urban Liveability

Incremental Learning in Diagonal Linear Networks

Generalization Properties of NAS under Activation and Skip Connection Search

Stop Wasting my FLOPS: Improving the Efficiency of Deep Learning Models

Exploring neural networks and their potential for species distribution modeling

Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks

Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks