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There has been a growing interest in using non-parametric regression methods like Gaussian Process (GP) regression for system identification. GP regression does traditionally have three important downsides: (1) it is computationally…

Machine Learning · Statistics 2017-08-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

This paper presents a comprehensive investigation into encrypted computations using the CKKS (Cheon-Kim-Kim-Song) scheme, with a focus on multi-dimensional vector operations and real-world applications. Through two meticulously designed…

Cryptography and Security · Computer Science 2023-09-15 Muhammad Jahanzeb Khan , Bo Fang , Dongfang Zhao

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

Machine Learning · Computer Science 2021-11-12 Antti Honkela , Laila Melkas

This paper investigates the differentially private bipartite consensus algorithm over signed networks. The proposed algorithm protects each agent's sensitive information by adding noise with time-varying variances to the…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jimin Wang , Jieming Ke , Ji-Feng Zhang

Public key authenticated encryption with keyword search (PAEKS) represents a significant advancement of secure and searchable data sharing in public network systems, such as medical systems. It can effectively mitigate the risk of keyword…

Cryptography and Security · Computer Science 2025-03-24 Jiayin Cai , Xingwen Zhao , Dexin Li , Hui Li , Kai Fan

A continuous-variable quantum key distribution protocol based on squeezed states and heterodyne detection is introduced and shown to attain higher secret key rates over a noisy line than any other one-way Gaussian protocol. This increased…

Quantum Physics · Physics 2009-11-13 Raul Garcia-Patron , Nicolas J. Cerf

Quantum computing technology has the potential to revolutionize the simulation of materials and molecules in the near future. A primary challenge in achieving near-term quantum advantage is effectively mitigating the noise effects inherent…

Quantum Physics · Physics 2024-01-17 Tao Jiang , John Rogers , Marius S. Frank , Ove Christiansen , Yong-Xin Yao , Nicola Lanatà

The truncated singular value decomposition may be used to find the solution of linear discrete ill-posed problems in conjunction with Tikhonov regularization and requires the estimation of a regularization parameter that balances between…

Numerical Analysis · Mathematics 2022-08-16 Rosemary A. Renaut , Anthony W. Helmstetter , Saeed Vatankhah

We consider the problem of secure identification: user U proves to server S that he knows an agreed (possibly low-entropy) password w, while giving away as little information on w as possible, namely the adversary can exclude at most one…

Quantum Physics · Physics 2009-08-05 Ivan Damgaard , Serge Fehr , Louis Salvail , Christian Schaffner

We introduce noise-adaptive quantum key distribution (QKD) protocols, in which the honest parties optimize the encoding (state preparation) and decoding (measurement basis) operations according to the noise models affecting the honest…

Quantum Physics · Physics 2026-05-28 Abinash Kar , Ayan Patra , Aditi Sen De , Tamoghna Das

We present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

Quantum Physics · Physics 2009-11-11 R. Renner , N. Gisin , B. Kraus

Backscatter wireless communication is an emerging technique widely used in low-cost and low-power wireless systems, especially in passive radio frequency identification (RFID) systems. Recently, the requirement of high data rates, data…

Information Theory · Computer Science 2016-11-15 Qian Yang , Hui-Ming Wang , Yi Zhang , Zhu Han

The security of the proposed quantum Internet relies on repeater protocols designed under the assumption of stochastic, characterizable noise. We demonstrate that in adversarial environments this assumption induces performance…

Quantum Physics · Physics 2026-02-27 Abhishek Sadhu , Sharu Theresa Jose

A multiple-input multiple-output (MIMO) system operating at terahertz (THz) frequencies and consisting of a transmitter, Alice, that encodes secret keys using Gaussian-modulated coherent states, which are communicated to a legitimate…

Information Theory · Computer Science 2026-03-31 Sushil Kumar , Soumya P. Dash , George C. Alexandropoulos

Probabilistic encoding introduces Gaussian noise into neural networks, enabling a smooth transition from deterministic to uncertain states and enhancing generalization ability. However, the randomness of Gaussian noise distorts point-based…

Machine Learning · Computer Science 2025-07-24 Pengjiu Xia , Yidian Huang , Wenchao Wei , Yuwen Tan

We show a simple reduction which demonstrates the cryptographic hardness of learning a single periodic neuron over isotropic Gaussian distributions in the presence of noise. More precisely, our reduction shows that any polynomial-time…

Machine Learning · Computer Science 2021-09-17 Min Jae Song , Ilias Zadik , Joan Bruna

The Gaussian Mechanism (GM), which consists in adding Gaussian noise to a vector-valued query before releasing it, is a standard privacy protection mechanism. In particular, given that the query respects some L2 sensitivity property (the L2…

Machine Learning · Computer Science 2024-03-20 Hadrien Hendrikx , Paul Mangold , Aurélien Bellet

This work studies quantum algorithms to solve high-dimensional stochastic differential equations (SDEs) $\mathrm{d} \mathbf{X}_t = A(t) \mathbf{X}_t \mathrm{d} t + B(t) \mathrm{d} \mathbf{W}_t$. Aiming for a speed-up in the dimension $N$ of…

Quantum Physics · Physics 2026-04-28 Koichi Miyamoto

A reliable application of deep neural network classifiers requires robustness certificates against adversarial perturbations. Gaussian smoothing is a widely analyzed approach to certifying robustness against norm-bounded perturbations,…

Machine Learning · Computer Science 2024-09-23 Hossein Goli , Farzan Farnia

Multimodal hearing aids (HAs) aim to deliver more intelligible audio in noisy environments by contextually sensing and processing data in the form of not only audio but also visual information (e.g. lip reading). Machine learning techniques…