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Neural networks offer good approximation to many tasks but consistently fail to reach perfect generalization, even when theoretical work shows that such perfect solutions can be expressed by certain architectures. Using the task of formal…

Computation and Language · Computer Science 2024-06-07 Nur Lan , Emmanuel Chemla , Roni Katzir

Large language models (LLMs) demonstrate proficiency across numerous computational tasks, yet their inner workings remain unclear. In theory, the combination of causal self-attention and multilayer perceptron layers allows every token to…

Computation and Language · Computer Science 2025-09-12 Siddarth Mamidanna , Daking Rai , Ziyu Yao , Yilun Zhou

The inability of Machine Learning (ML) models to successfully extrapolate correct predictions from out-of-distribution (OoD) samples is a major hindrance to the application of ML in critical applications. Until the generalization ability of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Mark Philip Philipsen , Thomas Baltzer Moeslund

This paper presents a framework for bounding the approximation error in imitation model predictive controllers utilizing neural networks. Leveraging the Lipschitz properties of these neural networks, we derive a bound that guides dataset…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Hendrik Alsmeier , Lukas Theiner , Anton Savchenko , Ali Mesbah , Rolf Findeisen

Deep neural networks have achieved impressive experimental results in image classification, but can surprisingly be unstable with respect to adversarial perturbations, that is, minimal changes to the input image that cause the network to…

Artificial Intelligence · Computer Science 2017-05-08 Xiaowei Huang , Marta Kwiatkowska , Sen Wang , Min Wu

Large language models (LLMs) are increasingly deployed in settings where the available context is incomplete or degraded. We argue that an LLM generating answers under incomplete context can be viewed as an implicit imputer, and evaluated…

Machine Learning · Statistics 2026-05-14 Stef van Buuren

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

We present a highly compact run-time monitoring approach for deep computer vision networks that extracts selected knowledge from only a few (down to merely two) hidden layers, yet can efficiently detect silent data corruption originating…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Florian Geissler , Syed Qutub , Michael Paulitsch , Karthik Pattabiraman

Bayes' rule describes how to infer posterior beliefs about latent variables given observations, and inference is a critical step in learning algorithms for latent variable models (LVMs). Although there are exact algorithms for inference and…

Machine Learning · Computer Science 2025-09-22 Sacha Sokoloski

Can a deep neural network be approximated by a small decision tree based on simple features? This question and its variants are behind the growing demand for machine learning models that are *interpretable* by humans. In this work we study…

Machine Learning · Computer Science 2024-06-18 Marco Bressan , Nicolò Cesa-Bianchi , Emmanuel Esposito , Yishay Mansour , Shay Moran , Maximilian Thiessen

Machine learning (ML) in its current form implies that an answer to any problem can be well approximated by a function of a very peculiar form: a specially adjusted iteration of Heavyside theta-functions. It is natural to ask if the answers…

High Energy Physics - Theory · Physics 2023-04-05 V. Dolotin , A. Morozov , A. Popolitov

The trustworthiness of modern networked services is too important to leave to chance. We need to design these services with specific properties in mind, and verify that the properties hold. In this paper, we argue that a compositional…

Networking and Internet Architecture · Computer Science 2020-09-29 Pamela Zave , Jennifer Rexford , John Sonchack

Both uncertainty estimation and interpretability are important factors for trustworthy machine learning systems. However, there is little work at the intersection of these two areas. We address this gap by proposing a novel method for…

Machine Learning · Statistics 2021-03-19 Javier Antorán , Umang Bhatt , Tameem Adel , Adrian Weller , José Miguel Hernández-Lobato

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

We present an approach for the verification of feed-forward neural networks in which all nodes have a piece-wise linear activation function. Such networks are often used in deep learning and have been shown to be hard to verify for modern…

Logic in Computer Science · Computer Science 2017-08-03 Ruediger Ehlers

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

Attestation means providing evidence that a remote target system is worthy of trust for some sensitive interaction. Although attestation is already used in network access control, security management, and trusted execution environments, it…

Cryptography and Security · Computer Science 2026-03-09 Will Thomas , Logan Schmalz , Adam Petz , Perry Alexander , Joshua D. Guttman , Paul D. Rowe , James Carter

The means by which cortical neural networks are able to efficiently solve inference problems remains an open question in computational neuroscience. Recently, abstract models of Bayesian computation in neural circuits have been proposed,…

Neurons and Cognition · Quantitative Biology 2015-02-24 Dimitri Probst , Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Dejan Pecevski , Johannes Schemmel , Karlheinz Meier

A common assumption about neural networks is that they can learn an appropriate internal representations on their own, see e.g. end-to-end learning. In this work we challenge this assumption. We consider two simple tasks and show that the…

Machine Learning · Computer Science 2019-11-19 Krisztian Buza