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Bayesian hierarchical models can provide efficient algorithms for finding sparse solutions to ill-posed inverse problems. The models typically comprise a conditionally Gaussian prior model for the unknown which is augmented by a generalized…

数值分析 · 数学 2025-01-09 Jonathan Lindbloom , Jan Glaubitz , Anne Gelb

Estimation of a deterministic quantity observed in non-Gaussian additive noise is explored via order statistics approach. More specifically, we study the estimation problem when measurement noises either have positive supports or follow a…

信号处理 · 电气工程与系统科学 2020-07-15 Kamiar Radnosrati , Gustaf Hendeby , Fredrik Gustafsson

Radio maps (RMs) are essential for environment-aware communication and sensing, providing location-specific wireless channel information. Existing RM construction methods often rely on precise environmental data and base station (BS)…

人工智能 · 计算机科学 2025-05-22 Xiucheng Wang , Zhongsheng Fang , Nan Cheng , Ruijin Sun , Zan Li , Xuemin , Shen

In this work, we develop a Bayesian framework for solving inverse problems in which the unknown parameter belongs to a space of Radon measures taking values in a separable Hilbert space. The inherent ill-posedness of such problems is…

统计理论 · 数学 2025-05-02 Phuoc-Truong Huynh

In many settings, such as scientific inference, optimization, and transfer learning, the learner has a well-defined objective, which can be treated as estimation of a target parameter, and no intrinsic interest in characterizing the entire…

机器学习 · 计算机科学 2025-07-23 Sabina J. Sloman , Ayush Bharti , Julien Martinelli , Samuel Kaski

Instance-dependent label noise is realistic but rather challenging, where the label-corruption process depends on instances directly. It causes a severe distribution shift between the distributions of training and test data, which impairs…

机器学习 · 计算机科学 2022-10-12 Manyi Zhang , Yuxin Ren , Zihao Wang , Chun Yuan

We give the first efficient algorithm for learning halfspaces in the testable learning model recently defined by Rubinfeld and Vasilyan (2023). In this model, a learner certifies that the accuracy of its output hypothesis is near optimal…

机器学习 · 计算机科学 2023-03-14 Aravind Gollakota , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

Improving the understanding of signal and background distributions in signal-region is a valuable key to enhance any analysis in collider physics. This is usually a difficult task because -- among others -- signal and backgrounds are hard…

高能物理 - 唯象学 · 物理学 2025-11-26 Ezequiel Alvarez , Manuel Szewc , Alejandro Szynkman , Santiago Tanco , Tatiana Tarutina

A Bayesian approach is presented for detecting and characterising the signal from discrete objects embedded in a diffuse background. The approach centres around the evaluation of the posterior distribution for the parameters of the discrete…

天体物理学 · 物理学 2009-11-07 M. P. Hobson , C. McLachlan

Conventional frequentist learning, as assumed by existing federated learning protocols, is limited in its ability to quantify uncertainty, incorporate prior knowledge, guide active learning, and enable continual learning. Bayesian learning…

信息论 · 计算机科学 2021-08-31 Dongzhu Liu , Osvaldo Simeone

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

机器学习 · 计算机科学 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

Covariance matrix estimation arises in multivariate problems including multivariate normal sampling models and regression models where random effects are jointly modeled, e.g. random-intercept, random-slope models. A Bayesian analysis of…

统计方法学 · 统计学 2016-07-14 Ignacio Alvarez , Jarad Niemi , Matt Simpson

This paper considers the general signal detection and parameter estimation problem in the presence of colored Gaussian noise disturbance. By modeling the disturbance with an autoregressive process, we present three signal detectors with…

数据分析、统计与概率 · 物理学 2016-07-29 Bo Tang , Haibo He , Steven Kay

In this paper we tackle distributed detection of a non-cooperative target with a Wireless Sensor Network (WSN). When the target is present, sensors observe an unknown random signal with amplitude attenuation depending on the distance…

信息论 · 计算机科学 2016-12-20 D. Ciuonzo , P. Salvo Rossi

In this paper we study the problem of signal detection in Gaussian noise in a distributed setting where the local machines in the star topology can communicate a single bit of information. We derive a lower bound on the Euclidian norm that…

信息论 · 计算机科学 2022-02-28 Botond Szabo , Lasse Vuursteen , Harry van Zanten

This paper presents a novel approach to radar target detection using Variational AutoEncoders (VAEs). Known for their ability to learn complex distributions and identify out-ofdistribution samples, the proposed VAE architecture effectively…

机器学习 · 计算机科学 2025-03-10 Y A Rouzoumka , E Terreaux , C Morisseau , J. -P Ovarlez , C Ren

As a defense strategy against adversarial attacks, adversarial detection aims to identify and filter out adversarial data from the data flow based on discrepancies in distribution and noise patterns between natural and adversarial data.…

计算机视觉与模式识别 · 计算机科学 2025-03-06 Qian Wang , Chen Li , Yuchen Luo , Hefei Ling , Shijuan Huang , Ruoxi Jia , Ning Yu

Bayesian filtering deals with computing the posterior distribution of the state of a stochastic dynamic system given noisy observations. In this paper, motivated by applications in counter-adversarial systems, we consider the following…

系统与控制 · 电气工程与系统科学 2020-10-28 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

In this paper, we consider a novel machine learning problem, that is, learning a classifier from noisy label distributions. In this problem, each instance with a feature vector belongs to at least one group. Then, instead of the true label…

机器学习 · 计算机科学 2017-08-17 Yuya Yoshikawa

We consider Bayesian inference in inverse regression problems where the objective is to infer about unobserved covariates from observed responses and covariates. We establish posterior consistency of such unobserved covariates in Bayesian…

统计理论 · 数学 2020-05-04 Debashis Chatterjee , Sourabh Bhattacharya