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By replacing standard non-linearities with polynomial activations, Polynomial Neural Networks (PNNs) are pivotal for applications such as privacy-preserving inference via Homomorphic Encryption (HE). However, training PNNs effectively…

Machine Learning · Computer Science 2025-05-20 Forsad Al Hossain , Tauhidur Rahman

In federated learning (FL), data does not leave personal devices when they are jointly training a machine learning model. Instead, these devices share gradients, parameters, or other model updates, with a central party (e.g., a company)…

Machine Learning · Computer Science 2023-04-14 Franziska Boenisch , Adam Dziedzic , Roei Schuster , Ali Shahin Shamsabadi , Ilia Shumailov , Nicolas Papernot

Federated learning (FL) is a privacy-preserving machine learning framework that enables multiple nodes to train models on their local data and periodically average weight updates to benefit from other nodes' training. Each node's goal is to…

Machine Learning · Computer Science 2025-06-16 Ethan Wilson , Kai Yue , Chau-Wai Wong , Huaiyu Dai

In large-scale statistical learning, data collection and model fitting are moving increasingly toward peripheral devices---phones, watches, fitness trackers---away from centralized data collection. Concomitant with this rise in…

Machine Learning · Statistics 2019-06-04 Abhishek Bhowmick , John Duchi , Julien Freudiger , Gaurav Kapoor , Ryan Rogers

Implicit neural networks have become increasingly attractive in the machine learning community since they can achieve competitive performance but use much less computational resources. Recently, a line of theoretical works established the…

Machine Learning · Computer Science 2022-10-03 Tianxiang Gao , Hongyang Gao

With the randomization approach, sensitive data items of records are randomized to protect privacy of individuals while allowing the distribution information to be reconstructed for data analysis. In this paper, we distinguish between…

Databases · Computer Science 2012-02-16 Ke Wang , Chao Han , Ada Waichee Fu

Since graph neural networks (GNNs) are often vulnerable to attack, we need to know when we can trust them. We develop a computationally effective approach towards providing robust certificates for message-passing neural networks (MPNNs)…

Optimization and Control · Mathematics 2024-05-22 Christopher Hojny , Shiqiang Zhang , Juan S. Campos , Ruth Misener

These days, deep learning models have achieved great success in multiple fields, from autonomous driving to medical diagnosis. These models have expanded the abilities of artificial intelligence by offering great solutions to complex…

Cryptography and Security · Computer Science 2023-11-27 Gopichandh Golla

To investigate the theoretical foundations of deep learning from the viewpoint of the minimum description length (MDL) principle, we analyse risk bounds of MDL estimators based on two-stage codes for simple two-layers neural networks (NNs)…

Information Theory · Computer Science 2024-11-19 Yoshinari Takeishi , Jun'ichi Takeuchi

The training of artificial neural networks (ANNs) is nowadays a highly relevant algorithmic procedure with many applications in science and industry. Roughly speaking, ANNs can be regarded as iterated compositions between affine linear…

Optimization and Control · Mathematics 2022-07-14 Simon Eberle , Arnulf Jentzen , Adrian Riekert , Georg Weiss

Vertical Federated Learning (VFL) facilitates collaborative machine learning without the need for participants to share raw private data. However, recent studies have revealed privacy risks where adversaries might reconstruct sensitive…

Machine Learning · Computer Science 2025-01-16 Jirui Yang , Peng Chen , Zhihui Lu , Qiang Duan , Yubing Bao

Neural networks can be trained to solve regression problems by using gradient-based methods to minimize the square loss. However, practitioners often prefer to reformulate regression as a classification problem, observing that training on…

Machine Learning · Computer Science 2023-03-02 Lawrence Stewart , Francis Bach , Quentin Berthet , Jean-Philippe Vert

We consider training over-parameterized two-layer neural networks with Rectified Linear Unit (ReLU) using gradient descent (GD) method. Inspired by a recent line of work, we study the evolutions of network prediction errors across GD…

Machine Learning · Computer Science 2019-09-04 Lili Su , Pengkun Yang

Neural Networks (NNs) are vulnerable to adversarial examples. Such inputs differ only slightly from their benign counterparts yet provoke misclassifications of the attacked NNs. The required perturbations to craft the examples are often…

Cryptography and Security · Computer Science 2020-09-30 Philip Sperl , Konstantin Böttinger

With the advancement of deep learning, reducing computational complexity and memory consumption has become a critical challenge, and ternary neural networks (NNs) that restrict parameters to $\{-1, 0, +1\}$ have attracted attention as a…

Machine Learning · Computer Science 2026-04-28 Yuta Nakahara , Manabu Kobayashi , Toshiyasu Matsushima

Data reconstruction attacks on machine learning models pose a substantial threat to privacy, potentially leaking sensitive information. Although defending against such attacks using differential privacy (DP) provides theoretical guarantees,…

Machine Learning · Computer Science 2025-03-11 Kristian Schwethelm , Johannes Kaiser , Moritz Knolle , Sarah Lockfisch , Daniel Rueckert , Alexander Ziller

Deep learning algorithms -- typically consisting of a class of deep artificial neural networks (ANNs) trained by a stochastic gradient descent (SGD) optimization method -- are nowadays an integral part in many areas of science, industry,…

Machine Learning · Computer Science 2025-01-28 Steffen Dereich , Thang Do , Arnulf Jentzen , Frederic Weber

The hidden state threat model of differential privacy (DP) assumes that the adversary has access only to the final trained machine learning (ML) model, without seeing intermediate states during training. However, the current privacy…

Machine Learning · Computer Science 2025-05-27 Rob Romijnders , Antti Koskela

Neural networks are often trained on proprietary datasets, making them attractive attack targets. We present a novel dataset extraction method leveraging an innovative training time backdoor attack, allowing a malicious federated learning…

Cryptography and Security · Computer Science 2025-12-19 Eden Luzon , Guy Amit , Roy Weiss , Torsten Kraub , Alexandra Dmitrienko , Yisroel Mirsky

Anomaly detection is an important problem in many application areas, such as network security. Many deep learning methods for unsupervised anomaly detection produce good empirical performance but lack theoretical guarantees. By casting…

Machine Learning · Statistics 2024-09-16 Tian-Yi Zhou , Matthew Lau , Jizhou Chen , Wenke Lee , Xiaoming Huo
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