Optimal distributed multiparameter estimation in noisy environments
- URL: http://arxiv.org/abs/2306.01077v1
- Date: Thu, 1 Jun 2023 18:32:53 GMT
- Title: Optimal distributed multiparameter estimation in noisy environments
- Authors: Arne Hamann, Pavel Sekatski, Wolfgang D\"ur
- Abstract summary: We study how to find and improve noise-insensitive strategies.
We show that sequentially probing GHZ states is optimal up to a factor of at most 4.
- Score: 0.3093890460224435
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the task of multiple parameter estimation in the presence of
strong correlated noise with a network of distributed sensors. We study how to
find and improve noise-insensitive strategies. We show that sequentially
probing GHZ states is optimal up to a factor of at most 4. This allows us to
connect the problem to single parameter estimation, and to use techniques such
as protection against correlated noise in a decoherence-free subspace, or
read-out by local measurements.
Related papers
- The Cross-environment Hyperparameter Setting Benchmark for Reinforcement Learning [23.753382949334906]
This paper introduces a new empirical methodology, the Cross-environment Hyper parameter Setting Benchmark.
We demonstrate that this benchmark is robust to statistical noise and obtains qualitatively similar results across repeated applications.
We show, with high confidence, that there is no meaningful difference in performance between Ornstein-Uhlenbeck noise and uncorrelated Gaussian noise for exploration with the DDPG algorithm.
arXiv Detail & Related papers (2024-07-26T16:04:40Z) - Parameter estimation from an Ornstein-Uhlenbeck process with measurement noise [0.0]
We present an algorithm that can effectively separate thermal noise with comparable performance to Hamilton Monte Carlo.
We show that, with additional knowledge of the ratio between thermal and multiplicative noise, we can accurately distinguish between the two types of noise.
arXiv Detail & Related papers (2023-05-22T21:28:57Z) - Improve Noise Tolerance of Robust Loss via Noise-Awareness [60.34670515595074]
We propose a meta-learning method which is capable of adaptively learning a hyper parameter prediction function, called Noise-Aware-Robust-Loss-Adjuster (NARL-Adjuster for brevity)
Four SOTA robust loss functions are attempted to be integrated with our algorithm, and comprehensive experiments substantiate the general availability and effectiveness of the proposed method in both its noise tolerance and performance.
arXiv Detail & Related papers (2023-01-18T04:54:58Z) - Optimizing quantum-enhanced Bayesian multiparameter estimation of phase and noise in practical sensors [0.40151799356083057]
We show how to exploit the potential of practical sensors operating beyond the standard quantum limit for broad resources range.
Our results show that optimizing the multiparameter approach in noisy apparata represents a significant tool to fully exploit the potential of practical sensors operating beyond the standard quantum limit for broad resources range.
arXiv Detail & Related papers (2022-11-09T08:45:49Z) - Inference and Denoise: Causal Inference-based Neural Speech Enhancement [83.4641575757706]
This study addresses the speech enhancement (SE) task within the causal inference paradigm by modeling the noise presence as an intervention.
The proposed causal inference-based speech enhancement (CISE) separates clean and noisy frames in an intervened noisy speech using a noise detector and assigns both sets of frames to two mask-based enhancement modules (EMs) to perform noise-conditional SE.
arXiv Detail & Related papers (2022-11-02T15:03:50Z) - The Optimal Noise in Noise-Contrastive Learning Is Not What You Think [80.07065346699005]
We show that deviating from this assumption can actually lead to better statistical estimators.
In particular, the optimal noise distribution is different from the data's and even from a different family.
arXiv Detail & Related papers (2022-03-02T13:59:20Z) - Optimality in Noisy Importance Sampling [66.94202101538939]
We derive optimal proposal densities for noisy IS estimators.
We compare the use of the optimal proposals with previous optimality approaches considered in a noisy IS framework.
arXiv Detail & Related papers (2022-01-07T12:32:25Z) - Multiview point cloud registration with anisotropic and space-varying
localization noise [1.5499426028105903]
We address the problem of registering multiple point clouds corrupted with high anisotropic localization noise.
Existing methods are based on an implicit assumption of space-invariant isotropic noise.
We show that our noise handling strategy improves significantly the robustness to high levels of anisotropic noise.
arXiv Detail & Related papers (2022-01-03T15:21:24Z) - Probe incompatibility in multiparameter noisy quantum metrology [0.0]
We study the issue of the optimal probe incompatibility in the simultaneous estimation of multiple parameters in generic noisy channels.
In particular, we show that in lossy multiple arm interferometry the probe incompatibility is as strong as in the noiseless scenario.
We introduce the concept of emphrandom quantum sensing and show how the tools developed may be applied to multiple channel discrimination problems.
arXiv Detail & Related papers (2021-04-22T18:03:16Z) - Learning based signal detection for MIMO systems with unknown noise
statistics [84.02122699723536]
This paper aims to devise a generalized maximum likelihood (ML) estimator to robustly detect signals with unknown noise statistics.
In practice, there is little or even no statistical knowledge on the system noise, which in many cases is non-Gaussian, impulsive and not analyzable.
Our framework is driven by an unsupervised learning approach, where only the noise samples are required.
arXiv Detail & Related papers (2021-01-21T04:48:15Z) - Deep Networks for Direction-of-Arrival Estimation in Low SNR [89.45026632977456]
We introduce a Convolutional Neural Network (CNN) that is trained from mutli-channel data of the true array manifold matrix.
We train a CNN in the low-SNR regime to predict DoAs across all SNRs.
Our robust solution can be applied in several fields, ranging from wireless array sensors to acoustic microphones or sonars.
arXiv Detail & Related papers (2020-11-17T12:52:18Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.