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Several emerging post-Bayesian methods target a probability distribution for which an entropy-regularised variational objective is minimised. This increased flexibility introduces a computational challenge, as one loses access to an…

Computation · Statistics 2025-12-17 Clémentine Chazal , Heishiro Kanagawa , Zheyang Shen , Anna Korba , Chris. J. Oates

The conventional non-coherent differential detection of continuous phase modulation (CPM) is quite robust to channel impairments such as phase and Doppler shifts. Its implementation is on top of that simple. It consists in multiplying the…

Information Theory · Computer Science 2022-04-13 Anouar Jerbi , Karine Amis , Frédéric Guilloud , Tarik Benaddi

We consider the Unambiguous State Discrimination (USD) of two mixed quantum states. We study the rank and the spectrum of the elements of an optimal USD measurement. This naturally leads to a partial fourth reduction theorem. This theorem…

Quantum Physics · Physics 2007-12-11 Philippe Raynal , Norbert Lütkenhaus

Orthogonal Matching Pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used for a very straightforward analysis of OMP. Our main…

Numerical Analysis · Mathematics 2009-09-02 Mark A. Davenport , Michael B. Wakin

In distributed detection, there does not exist an automatic way of generating optimal decision strategies for non-affine decision functions. Consequently, in a detection problem based on a non-affine decision function, establishing…

Information Theory · Computer Science 2024-08-20 Earnest Akofor

We propose a drone signal out-of-distribution (OOD) detection algorithm based on discriminability-driven spatial-channel selection with a gradient norm. Time-frequency image features are adaptively weighted along both spatial and channel…

Machine Learning · Computer Science 2026-01-27 Chuhan Feng , Jing Li , Jie Li , Lu Lv , Fengkui Gong

We study an optimized measurement that discriminates two mixed quantum states with maximum confidence for each conclusive result, thereby keeping the overall probability of inconclusive results as small as possible. When the rank of the…

Quantum Physics · Physics 2009-11-13 Ulrike Herzog

Since the seminal paper of Hendrycks et al. arXiv:1610.02136, Post-hoc deep Out-of-Distribution (OOD) detection has expanded rapidly. As a result, practitioners working on safety-critical applications and seeking to improve the robustness…

Machine Learning · Statistics 2024-07-11 Paul Novello , Yannick Prudent , Joseba Dalmau , Corentin Friedrich , Yann Pequignot

Sensor placement optimization methods have been studied extensively. They can be applied to a wide range of applications, including surveillance of known environments, optimal locations for 5G towers, and placement of missile defense…

Machine Learning · Computer Science 2024-05-22 Lukas Taus , Yen-Hsi Richard Tsai

A sufficient condition reported very recently for perfect recovery of a K-sparse vector via orthogonal matching pursuit (OMP) in K iterations is that the restricted isometry constant of the sensing matrix satisfies…

Information Theory · Computer Science 2014-01-06 Ling-Hua Chang , Jwo-Yuh Wu

Estimation of a global parameter defined as a weighted linear combination of unknown multiple parameters can be enhanced by using quantum resources. Advantageous quantum strategies may vary depending on the weight distribution, requiring…

Quantum Physics · Physics 2022-09-23 Changhun Oh , Liang Jiang , Changhyoup Lee

This paper introduces a universal approach to seamlessly combine out-of-distribution (OOD) detection scores. These scores encompass a wide range of techniques that leverage the self-confidence of deep learning models and the anomalous…

Machine Learning · Statistics 2024-06-25 Eduardo Dadalto , Florence Alberge , Pierre Duhamel , Pablo Piantanida

We address the problem of sparse recovery using greedy compressed sensing recovery algorithms, without explicit knowledge of the sparsity. Estimating the sparsity order is a crucial problem in many practical scenarios, e.g., wireless…

Information Theory · Computer Science 2022-10-26 Samrat Mukhopadhyay , Himanshu Bhusan Mishra

We show how weak non-linearities can be used in a device-independent quantum key distribution (QKD) protocol using generalized two-mode Schr\"odinger cat states. The QKD protocol is therefore shown to be secure against collective attacks…

Quantum Physics · Physics 2015-08-12 Curtis J. Broadbent , Kevin Marshall , Christian Weedbrook , John C. Howell

When testing data and training data come from different distributions, deep neural networks (DNNs) will face significant safety risks in practical applications. Therefore, out-of-distribution (OOD) detection techniques, which can identify…

Machine Learning · Computer Science 2026-04-01 Cheng Yang , Yu Hao , Qi Zhang , Chuan Shi

This paper considers the problem of selecting a set of $k$ measurements from $n$ available sensor observations. The selected measurements should minimize a certain error function assessing the error in estimating a certain $m$ dimensional…

Information Theory · Computer Science 2016-12-15 Khalil Elkhalil , Abla Kammoun , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

This paper presents a novel evaluation framework for Out-of-Distribution (OOD) detection that aims to assess the performance of machine learning models in more realistic settings. We observed that the real-world requirements for testing OOD…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Vahid Reza Khazaie , Anthony Wong , Mohammad Sabokrou

A practical and scalable, optimal detection algorithm is introduced for hierarchical Gray-coded $2^n$ QAM for application in software defined communications. The introduced optimal detection algorithm is based on successive interference…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Hadi Alasti

For the four-state protocol of quantum key distribution, optimum sets of probe parameters are calculated for the most general unitary probe in which each individual transmitted photon is made to interact with the probe so that the signal…

Quantum Physics · Physics 2016-09-08 Howard E. Brandt

This paper is concerned with optimum diversity receiver structure and its performance analysis of differential phase shift keying (DPSK) with differential detection over nonselective, independent, nonidentically distributed, Rayleigh fading…

Information Theory · Computer Science 2007-07-13 Hua Fu , Pooi Yuen Kam