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Although statistical learning theory provides a robust framework to understand supervised learning, many theoretical aspects of deep learning remain unclear, in particular how different architectures may lead to inductive bias when trained…

Machine Learning · Computer Science 2024-03-27 Cédric Gerbelot , Avetik Karagulyan , Stefani Karp , Kavya Ravichandran , Menachem Stern , Nathan Srebro

Gradient-based deep-learning algorithms exhibit remarkable performance in practice, but it is not well-understood why they are able to generalize despite having more parameters than training examples. It is believed that implicit bias is a…

Machine Learning · Computer Science 2022-11-08 Gal Vardi

Although input-gradients techniques have evolved to mitigate and tackle the challenges associated with gradients, modern gradient-weighted CAM approaches still rely on vanilla gradients, which are inherently susceptible to the saturation…

Machine Learning · Computer Science 2024-06-27 Vincenzo Buono , Peyman Sheikholharam Mashhadi , Mahmoud Rahat , Prayag Tiwari , Stefan Byttner

Signal analysis and classification is fraught with high levels of noise and perturbation. Computer-vision-based deep learning models applied to spectrograms have proven useful in the field of signal classification and detection; however,…

Machine Learning · Computer Science 2024-09-04 Joel Brogan , Olivera Kotevska , Anibely Torres , Sumit Jha , Mark Adams

Deep learning models offer superior performance compared to other machine learning techniques for a variety of tasks and domains, but pose their own challenges. In particular, deep learning models require larger training times as the depth…

Machine Learning · Computer Science 2023-05-31 Sunitha Basodi , Krishna Pusuluri , Xueli Xiao , Yi Pan

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

One popular group of defense techniques against adversarial attacks is based on injecting stochastic noise into the network. The main source of robustness of such stochastic defenses however is often due to the obfuscation of the gradients,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Nikola Popovic , Danda Pani Paudel , Thomas Probst , Luc Van Gool

We show through theory and experiment that gradient-based explanations of a model quickly reveal the model itself. Our results speak to a tension between the desire to keep a proprietary model secret and the ability to offer model…

Machine Learning · Statistics 2018-07-16 Smitha Milli , Ludwig Schmidt , Anca D. Dragan , Moritz Hardt

The explainability of deep networks is becoming a central issue in the deep learning community. It is the same for learning on graphs, a data structure present in many real world problems. In this paper, we propose a method that is more…

Machine Learning · Computer Science 2022-07-27 Adrien Raison , Pascal Bourdon , David Helbert

Neural networks are known to be a class of highly expressive functions able to fit even random input-output mappings with $100\%$ accuracy. In this work, we present properties of neural networks that complement this aspect of expressivity.…

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

Machine Learning · Computer Science 2024-05-15 Ronan Keane

High-level representations have become a central focus in enhancing AI transparency and control, shifting attention from individual neurons or circuits to structured semantic directions that align with human-interpretable concepts. While…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Bowei Tian , Xuntao Lyu , Meng Liu , Hongyi Wang , Ang Li

Recent advances in artificial intelligence have propelled the development of innovative computational materials modeling and design techniques. Generative deep learning models have been used for molecular representation, discovery, and…

Chemical Physics · Physics 2021-02-12 Navid Shervani-Tabar , Nicholas Zabaras

The surge in black-box AI models has prompted the need to explain the internal mechanism and justify their reliability, especially in high-stakes applications, such as healthcare and autonomous driving. Due to the lack of a rigorous…

Artificial Intelligence · Computer Science 2024-03-18 Yongjie Wang , Tong Zhang , Xu Guo , Zhiqi Shen

Multimodal recommendation aims to integrate collaborative signals with heterogeneous content such as visual and textual information, but remains challenged by modality-specific noise, semantic inconsistency, and unstable propagation over…

Information Retrieval · Computer Science 2026-02-02 Wei Yang , Rui Zhong , Yiqun Chen , Chi Lu , Peng Jiang

A candidate explanation of the good empirical performance of deep neural networks is the implicit regularization effect of first order optimization methods. Inspired by this, we prove a convergence theorem for nonconvex composite…

Machine Learning · Computer Science 2023-02-14 Dávid Terjék , Diego González-Sánchez

We present an approach to obtain convergence guarantees of optimization algorithms for deep networks based on elementary arguments and computations. The convergence analysis revolves around the analytical and computational structures of…

Machine Learning · Computer Science 2021-01-01 Vincent Roulet , Zaid Harchaoui

In the last decade, a large body of work has emerged on robustness of neural networks, i.e., checking if the decision remains unchanged when the input is slightly perturbed. However, most of these approaches ignore the confidence of a…

Logic in Computer Science · Computer Science 2026-02-17 Mohammad Afzal , S. Akshay , Blaise Genest , Ashutosh Gupta

Although deep learning has shown its powerful performance in many applications, the mathematical principles behind neural networks are still mysterious. In this paper, we consider the problem of learning a one-hidden-layer neural network…

Machine Learning · Computer Science 2019-07-17 Shuhao Xia , Yuanming Shi

Random matrix theory (RMT) provides a framework to study the spectral fluctuations in physical systems. RMT is capable of making predictions for the fluctuations only after the removal of the secular properties of the spectrum. Spectral…

Statistical Mechanics · Physics 2018-03-02 Sherif M. Abuelenin