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A Family of Swish Diffusion Strategy Based Adaptive Algorithms for Distributed Active Noise Control 基于 Swish 扩散策略的分布式主动噪声控制自适应算法系列
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-02-01 DOI: 10.1109/OJSP.2024.3360860
Rajapantula Kranthi;Vasundhara;Asutosh Kar;Mads Græsbøll Christensen
The conventional filtered-x least mean square (F-xLMS) algorithm based distributed active noise control (DANC) system's performance suffers in the presence of outliers and impulse like disturbances. In an attempt to reduce noise in such an environment Swish function based algorithms for DANC systems have been proposed presently. The Swish function makes use of the smoothness and unboundedness properties for faster convergence and eliminating vanishing gradient issue. The intention is to employ the smooth approximation of Softplus and the non-convex property of Geman-McClure estimator to propose a Softplus Geman-McClure function. In addition, the bounded nonlinearity of Welsch function which is insensitive to the outliers is utilized with the regularization property of Softsign formulating Softsign Welsch method. Henceforth, this paper proposes a family of robust algorithms employing the Swish diffusion strategy for filtered-x sign, filtered-x LMS, filtered-x Softplus Geman-McClure and filtered-x Softsign Welsch algorithms for DANC systems. The weight update rules are derived for the proposed algorithms and convergence analysis is also carried out. The suggested methods achieve faster convergence in comparison with existing techniques and approximately 1–5 dB improvement in noise cancellation for various noise inputs and impulsive noise interferences.
传统的基于滤波-x 最小均方(F-xLMS)算法的分布式主动噪声控制(DANC)系统在出现离群值和脉冲干扰时性能会受到影响。为了降低这种环境下的噪声,目前已提出了基于 Swish 函数的 DANC 系统算法。Swish 函数利用平滑性和无约束特性加快收敛速度,并消除梯度消失问题。其目的是利用 Softplus 的平滑逼近和 Geman-McClure 估计器的非凸特性,提出一种 Softplus Geman-McClure 函数。此外,利用 Welsch 函数对异常值不敏感的有界非线性和 Softsign 的正则化特性,提出了 Softsign Welsch 方法。因此,本文针对 DANC 系统的滤波-x Sign、滤波-x LMS、滤波-x Softplus Geman-McClure 和滤波-x Softsign Welsch 算法,提出了一系列采用 Swish 扩散策略的鲁棒算法。对所提算法的权值更新规则进行了推导,并进行了收敛性分析。与现有技术相比,建议的方法收敛速度更快,对于各种噪声输入和脉冲噪声干扰,噪声消除效果提高了约 1-5 dB。
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引用次数: 0
Correlated Sparse Bayesian Learning for Recovery of Block Sparse Signals With Unknown Borders 相关稀疏贝叶斯学习用于恢复边界未知的块状稀疏信号
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-31 DOI: 10.1109/OJSP.2024.3360914
Didem Dogan;Geert Leus
We consider the problem of recovering complex-valued block sparse signals with unknown borders. Such signals arise naturally in numerous applications. Several algorithms have been developed to solve the problem of unknown block partitions. In pattern-coupled sparse Bayesian learning (PCSBL), each coefficient involves its own hyperparameter and those of its immediate neighbors to exploit the block sparsity. Extended block sparse Bayesian learning (EBSBL) assumes the block sparse signal consists of correlated and overlapping blocks to enforce block correlations. We propose a simpler alternative to EBSBL and reveal the underlying relationship between the proposed method and a particular case of EBSBL. The proposed algorithm uses the fact that immediate neighboring sparse coefficients are correlated. The proposed model is similar to classical sparse Bayesian learning (SBL). However, unlike the diagonal correlation matrix in conventional SBL, the unknown correlation matrix has a tridiagonal structure to capture the correlation with neighbors. Due to the entanglement of the elements in the inverse tridiagonal matrix, instead of a direct closed-form solution, an approximate solution is proposed. The alternative algorithm avoids the high dictionary coherence in EBSBL, reduces the unknowns of EBSBL, and is computationally more efficient. The sparse reconstruction performance of the algorithm is evaluated with both correlated and uncorrelated block sparse coefficients. Simulation results demonstrate that the proposed algorithm outperforms PCSBL and correlation-based methods such as EBSBL in terms of reconstruction quality. The numerical results also show that the proposed correlated SBL algorithm can deal with isolated zeros and nonzeros as well as block sparse patterns.
我们考虑的问题是恢复边界未知的复值块稀疏信号。这种信号在许多应用中都会自然出现。目前已开发出多种算法来解决未知块分区的问题。在模式耦合稀疏贝叶斯学习(PCSBL)中,每个系数都涉及其自身及其近邻的超参数,以利用块稀疏性。扩展块稀疏贝叶斯学习(EBSBL)假定块稀疏信号由相关和重叠的块组成,以加强块相关性。我们提出了一种比 EBSBL 更简单的替代方法,并揭示了所提方法与 EBSBL 特定情况之间的内在联系。我们提出的算法利用了紧邻稀疏系数是相关的这一事实。所提出的模型类似于经典的稀疏贝叶斯学习(SBL)。不过,与传统 SBL 中的对角相关矩阵不同,未知相关矩阵具有三对角结构,可以捕捉到与邻域的相关性。由于逆三对角矩阵中的元素存在纠缠,因此提出了一种近似解法,而不是直接的闭式解法。这种替代算法避免了 EBSBL 中的高字典相干性,减少了 EBSBL 的未知数,计算效率更高。该算法的稀疏重建性能通过相关和不相关的块稀疏系数进行了评估。仿真结果表明,就重建质量而言,所提出的算法优于 PCSBL 和基于相关性的方法(如 EBSBL)。数值结果还表明,所提出的相关 SBL 算法可以处理孤立零点和非零点以及块稀疏模式。
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引用次数: 0
DOA Estimation With Nested Arrays in Impulsive Noise Scenario: An Adaptive Order Moment Strategy 脉冲噪声场景下嵌套阵列的 DOA 估计:自适应阶矩策略
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-31 DOI: 10.1109/OJSP.2024.3360896
Xudong Dong;Jun Zhao;Jingjing Pan;Meng Sun;Xiaofei Zhang;Peihao Dong;Yide Wang
Most of the existing direction of arrival (DOA) estimation methods in impulsive noise scenario are based on the fractional low-order moment statistics (FLOSs), such as the robust covariation-based (ROC), fractional low-order moment (FLOM), and phased fractional low-order moment (PFLOM). However, an unknown order moment parameter $p$ needs to be selected in these approaches, which inevitably increases the computational load if the optimal value of the parameter $p$ is determined by a large number of Monte Carlo experiments. To address this issue, we propose the adaptive order moment function (AOMF) and improved AOMF (IAOMF), which are applicable to the existing FLOSs-based methods and can also be extended to the case of sparse arrays. Moreover, we analyze the performance of AOMF and IAOMF, and simulation experiments verify the effectiveness of proposed methods.
现有的脉冲噪声场景下的到达方向(DOA)估计方法大多基于分数低阶矩统计(FLOS),如基于鲁棒协方差(ROC)、分数低阶矩(FLOM)和相位分数低阶矩(PFLOM)。然而,在这些方法中,需要选择一个未知的阶矩参数 $p$,如果参数 $p$ 的最优值是通过大量蒙特卡罗实验确定的,则不可避免地会增加计算负荷。为了解决这个问题,我们提出了自适应阶矩函数(AOMF)和改进的自适应阶矩函数(IAOMF),它们适用于现有的基于 FLOSs 的方法,也可以扩展到稀疏阵列的情况。此外,我们还分析了 AOMF 和 IAOMF 的性能,并通过仿真实验验证了所提方法的有效性。
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引用次数: 0
Constrained Weighted Least-Squares Algorithms for 3-D AOA-Based Hybrid Localization 基于 AOA 的三维混合定位的受限加权最小二乘法算法
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-31 DOI: 10.1109/OJSP.2024.3360901
Yanbin Zou;Wenbo Wu;Jingna Fan;Huaping Liu
Source localization with time-of-arrival (TOA), time-difference-of-arrival (TDOA), time-delay (TD), received-signal-strength (RSS), or angle-of-arrival (AOA) measurements from several spatially distributed sensors is commonly used in practice. Existing analysis of the Cram $acute{text{e}}$ r-Rao lower bounds (CRLB) shows that a hybrid of two or more independent kinds of measurement has a lower CRLB than one individual type of measurement. This paper develops a unified constrained weighted-least squares (CWLS) algorithm for five types of hybrid localization systems: AOA and TOA (AOA/TOA), AOA and TDOA (AOA/TDOA), AOA and TD (AOA/TD), AOA and RSS (AOA/RSS), AOA, TOA, and RSS (AOA/TOA/RSS). These formulated CWLS problems only have one quadratic constraint, which can be effectively solved by the Lagrange multiplier method and root-finding algorithm. Extensive simulation results show that the proposed CWLS algorithms are superior to state-of-the-art algorithms and reach the CRLB.
在实际应用中,通常使用来自多个空间分布传感器的到达时间 (TOA)、到达时间差 (TDOA)、时间延迟 (TD)、接收信号强度 (RSS) 或到达角 (AOA) 测量进行信号源定位。现有的 Cram $acute{text{e}}$ r-Rao 下限(CRLB)分析表明,两种或两种以上独立测量的混合下限比单独一种测量的下限要低。本文针对五种混合定位系统开发了一种统一的约束加权最小二乘法(CWLS)算法:AOA 和 TOA (AOA/TOA)、AOA 和 TDOA (AOA/TDOA)、AOA 和 TD (AOA/TD)、AOA 和 RSS (AOA/RSS)、AOA、TOA 和 RSS (AOA/TOA/RSS)。这些制定的 CWLS 问题只有一个二次约束,可以通过拉格朗日乘法和寻根算法有效求解。大量仿真结果表明,所提出的 CWLS 算法优于最先进的算法,并达到了 CRLB。
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引用次数: 0
Optimum Waveform Selection for Target State Estimation in the Joint Radar-Communication System 雷达-通信联合系统中目标状态估计的最佳波形选择
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-29 DOI: 10.1109/OJSP.2024.3359997
Ashoka Chakravarthi Mahipathi;Bethi Pardha Pardhasaradhi;Srinath Gunnery;Pathipati Srihari;John d'Souza;Paramananda Jena
The widespread usage of the Radio Frequency (RF) spectrum for wireless and mobile communication systems generated a significant spectrum scarcity. The Joint Radar-Communication System (JRCS) provides a framework to simultaneously utilize the allocated radar spectrum for sensing and communication purposes. Generally, a Successive Interference Cancellation (SIC) based receiver is applied to mitigate mutual interference in the JRCS configuration. However, this SIC receiver model introduces a communication residual component. In response to this issue, the article presents a novel measurement model based on communication residual components for various radar waveforms. The radar system's performance within the JRCS framework is then evaluated using the Fisher Information Matrix (FIM). The radar waveforms considered in this investigation are rectangular pulse, triangular pulse, Gaussian pulse, Linear Frequency Modulated (LFM) pulse, LFM-Gaussian pulse, and Non-Linear Frequency Modulated (NLFM) pulse. After that, the Kalman filter is deployed to estimate the target kinematics (range and range rate) of a single linearly moving target for different waveforms. Additionally, range and range rate estimation errors are quantified using the Root Mean Square Error (RMSE) metric. Furthermore, the Posterior Cramer-Rao Lower Bound (PCRLB) is derived to validate the estimation accuracy of various waveforms. The simulation results show that the range and range rate estimation errors are within the PCRLB limit at all time instants for all the designated waveforms. The results further reveal that the NLFM pulse waveform provides improved range and range rate error performance compared to all other waveforms.
无线和移动通信系统对射频(RF)频谱的广泛使用导致频谱严重短缺。联合雷达通信系统(JRCS)提供了一个框架,可同时利用分配的雷达频谱进行传感和通信。一般来说,在联合雷达-通信系统配置中,会使用基于连续干扰消除(SIC)的接收器来减轻相互干扰。然而,这种 SIC 接收机模型会引入通信残余部分。针对这一问题,文章提出了一种基于各种雷达波形的通信残差分量的新型测量模型。然后使用费雪信息矩阵(FIM)对 JRCS 框架内的雷达系统性能进行评估。本文研究的雷达波形包括矩形脉冲、三角脉冲、高斯脉冲、线性频率调制(LFM)脉冲、LFM-高斯脉冲和非线性频率调制(NLFM)脉冲。然后,利用卡尔曼滤波器估算不同波形下单个线性移动目标的运动特性(测距和测距速率)。此外,还使用均方根误差(RMSE)指标对测距和测距速率估计误差进行量化。此外,还得出了后验克拉默-拉奥下限(PCRLB),以验证各种波形的估计精度。仿真结果表明,所有指定波形的测距和测距率估计误差在所有时间瞬时都在 PCRLB 限制之内。结果进一步显示,与所有其他波形相比,NLFM 脉冲波形的测距和测距速率误差性能更佳。
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引用次数: 0
Robust and Simple ADMM Penalty Parameter Selection 稳健而简单的 ADMM 惩罚参数选择
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-10 DOI: 10.1109/OJSP.2023.3349115
MICHAEL T. MCCANN;Brendt Wohlberg
We present a new method for online selection of the penalty parameter for the alternating direction method of multipliers (ADMM) algorithm. ADMM is a widely used method for solving a range of optimization problems, including those that arise in signal and image processing. In its standard form, ADMM includes a scalar hyperparameter, known as the penalty parameter, which usually has to be tuned to achieve satisfactory empirical convergence. In this work, we develop a framework for analyzing the ADMM algorithm applied to a quadratic problem as an affine fixed point iteration. Using this framework, we develop a new method for automatically tuning the penalty parameter by detecting when it has become too large or small. We analyze this and several other methods with respect to their theoretical properties, i.e., robustness to problem transformations, and empirical performance on several optimization problems. Our proposed algorithm is based on a theoretical framework with clear, explicit assumptions and approximations, is theoretically covariant/invariant to problem transformations, is simple to implement, and exhibits competitive empirical performance.
我们提出了一种在线选择交替乘法(ADMM)算法惩罚参数的新方法。ADMM 是一种广泛使用的方法,用于解决一系列优化问题,包括信号和图像处理中出现的问题。在其标准形式中,ADMM 包括一个标量超参数,即所谓的惩罚参数,通常需要对其进行调整才能达到令人满意的经验收敛性。在这项工作中,我们开发了一个框架,用于分析将 ADMM 算法应用于二次问题的仿射定点迭代。利用这一框架,我们开发了一种新方法,通过检测惩罚参数何时过大或过小,自动调整惩罚参数。我们分析了这种方法和其他几种方法的理论特性,即对问题变换的鲁棒性,以及在几个优化问题上的经验表现。我们提出的算法基于一个理论框架,具有清晰明确的假设和近似值,在理论上对问题变换具有协变/不变性,易于实现,并表现出具有竞争力的经验性能。
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引用次数: 0
Dagma-DCE: Interpretable, Non-Parametric Differentiable Causal Discovery Dagma-DCE:可解释的非参数差异因果发现
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-09 DOI: 10.1109/OJSP.2024.3351593
Daniel Waxman;Kurt Butler;Petar M. Djurić
We introduce Dagma-DCE, an interpretable and model-agnostic scheme for differentiable causal discovery. Current non- or over-parametric methods in differentiable causal discovery use opaque proxies of “independence” to justify the inclusion or exclusion of a causal relationship. We show theoretically and empirically that these proxies may be arbitrarily different than the actual causal strength. Juxtaposed with existing differentiable causal discovery algorithms, Dagma-DCE uses an interpretable measure of causal strength to define weighted adjacency matrices. In a number of simulated datasets, we show our method achieves state-of-the-art level performance. We additionally show that Dagma-DCE allows for principled thresholding and sparsity penalties by domain-experts. The code for our method is available open-source at https://github.com/DanWaxman/DAGMA-DCE, and can easily be adapted to arbitrary differentiable models.
我们介绍了 Dagma-DCE,这是一种可解释且与模型无关的可微分因果发现方案。当前可微分因果发现中的非参数或超参数方法使用不透明的 "独立性 "代理来证明因果关系的包含或排除。我们从理论和经验上证明,这些代理可能与实际的因果关系强度存在任意差异。与现有的可微分因果关系发现算法相比,textsc{Dagma-DCE}使用可解释的因果关系强度度量来定义加权邻接矩阵。在一些模拟数据集中,我们展示了我们的方法达到了最先进水平的性能。此外,我们还证明了textsc{Dagma-DCE}允许领域专家进行有原则的阈值和稀疏性惩罚。我们的方法代码开源于 https://github.com/DanWaxman/DAGMA-DCE,可轻松适用于任意可微模型。
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引用次数: 0
Face Reflection Removal Network Using Multispectral Fusion of RGB and NIR Images 利用多光谱融合 RGB 和近红外图像的人脸反射去除网络
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-09 DOI: 10.1109/OJSP.2024.3351472
Hui Lan;Enquan Zhang;Cheolkon Jung
Images captured through glass are usually contaminated by reflections, and the removal of them from images is a challenging task. Since the primary concern on photos is face, the face images with reflections annoy viewers severely. In this article, we propose a face reflection removal network using multispectral fusion of color (RGB) and near infrared (NIR) images, called FRRN. Due to the different spectral wavelengths of visible light [380 nm, 780 nm] and near infrared [780 nm, 2526 nm], NIR cameras are not sensitive to the visible light and thus NIR images are less corrupted by reflections. NIR images preserve structure information well and can guide the restoration process from reflections on the RGB images. Thus, we adopt multispectual fusion of RGB and NIR images for reflection removal from a face image. FRRN consists of one encoder model (contextual encoder model (CEM)) and two decoder models (NIR inference decoder model (NIDM) and image inference decoder model (IIDM)). CEM captures features from shallow to deep layers on the scene information while suppressing the sparse reflection component. NIDM infers NIR image to facilitate multi-scale guidance for reflection removal, while IIDM estimates the transmission layer with the guidance of NIDM. Besides, we present the reflection confidence generation module (RCGM) based on Laplacian convolution and channel attention-based residual block (CARB) to represent the reflection confidence in a region for reflection removal. To train FRRN, we construct a large-scale training dataset with face image and reflection layer (RGB and NIR images) and its corresponding test dataset using JAI AD-130 GE camera. Various experiments demonstrate that FRRN outperforms state-of-the-art methods for reflection removal in terms of visual quality and quantitative measurements.
透过玻璃拍摄的图像通常会受到反光的污染,而从图像中去除反光是一项具有挑战性的任务。由于照片的主要关注点是人脸,因此带有反光的人脸图像会严重干扰观众。在本文中,我们提出了一种使用彩色(RGB)和近红外(NIR)图像的多光谱融合的人脸反光去除网络,称为 FRRN。由于可见光[380 nm, 780 nm]和近红外[780 nm, 2526 nm]的光谱波长不同,近红外相机对可见光不敏感,因此近红外图像受反光干扰较少。近红外图像能很好地保存结构信息,并能指导 RGB 图像反射的修复过程。因此,我们采用多光谱融合 RGB 和近红外图像的方法来去除人脸图像上的反光。FRRN 包括一个编码器模型(上下文编码器模型(CEM))和两个解码器模型(近红外推理解码器模型(NIDM)和图像推理解码器模型(IIDM))。CEM 可捕捉场景信息从浅层到深层的特征,同时抑制稀疏的反射成分。NIDM 对近红外图像进行推理,以便为去除反射提供多尺度指导,而 IIDM 则在 NIDM 的指导下估计透射层。此外,我们还提出了基于拉普拉斯卷积和基于信道注意力的残差块(CARB)的反射置信度生成模块(RCGM),用于表示区域内的反射置信度,以去除反射。为了训练 FRRN,我们使用 JAI AD-130 GE 摄像机构建了一个包含人脸图像和反射层(RGB 和 NIR 图像)的大规模训练数据集及其相应的测试数据集。各种实验证明,FRRN 在视觉质量和定量测量方面都优于最先进的反光去除方法。
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引用次数: 0
Adversarial Representation Learning for Robust Privacy Preservation in Audio 逆向表征学习实现稳健的音频隐私保护
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-01 DOI: 10.1109/OJSP.2023.3349113
Shayan Gharib;Minh Tran;Diep Luong;Konstantinos Drossos;Tuomas Virtanen
Sound event detection systems are widely used in various applications such as surveillance and environmental monitoring where data is automatically collected, processed, and sent to a cloud for sound recognition. However, this process may inadvertently reveal sensitive information about users or their surroundings, hence raising privacy concerns. In this study, we propose a novel adversarial training method for learning representations of audio recordings that effectively prevents the detection of speech activity from the latent features of the recordings. The proposed method trains a model to generate invariant latent representations of speech-containing audio recordings that cannot be distinguished from non-speech recordings by a speech classifier. The novelty of our work is in the optimization algorithm, where the speech classifier's weights are regularly replaced with the weights of classifiers trained in a supervised manner. This increases the discrimination power of the speech classifier constantly during the adversarial training, motivating the model to generate latent representations in which speech is not distinguishable, even using new speech classifiers trained outside the adversarial training loop. The proposed method is evaluated against a baseline approach with no privacy measures and a prior adversarial training method, demonstrating a significant reduction in privacy violations compared to the baseline approach. Additionally, we show that the prior adversarial method is practically ineffective for this purpose.
声音事件检测系统广泛应用于监控和环境监测等各种应用中,在这些应用中,数据被自动收集、处理并发送到云端进行声音识别。然而,这一过程可能会无意中泄露用户或其周围环境的敏感信息,从而引发隐私问题。在本研究中,我们提出了一种新颖的对抗训练方法,用于学习音频录音的表征,从而有效防止从录音的潜在特征中检测出语音活动。所提出的方法可训练一个模型,生成语音分类器无法区分的含语音录音与非语音录音的不变潜表征。我们工作的新颖之处在于优化算法,其中语音分类器的权重定期替换为以监督方式训练的分类器的权重。这将在对抗训练期间不断提高语音分类器的分辨能力,促使模型生成语音无法分辨的潜在表征,即使使用在对抗训练循环之外训练的新语音分类器也是如此。我们将所提出的方法与没有隐私措施的基线方法和先验对抗训练方法进行了对比评估,结果表明,与基线方法相比,侵犯隐私的情况显著减少。此外,我们还证明了先前的对抗方法在这方面实际上是无效的。
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引用次数: 0
Signal Processing in the Retina: Interpretable Graph Classifier to Predict Ganglion Cell Responses 视网膜中的信号处理:预测神经节细胞反应的可解释图形分类器
Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-01 DOI: 10.1109/OJSP.2023.3349111
Yasaman Parhizkar;Gene Cheung;Andrew W. Eckford
It is a popular hypothesis in neuroscience that ganglion cells in the retina are activated by selectively detecting visual features in an observed scene. While ganglion cell firings can be predicted via data-trained deep neural nets, the networks remain indecipherable, thus providing little understanding of the cells' underlying operations. To extract knowledge from the cell firings, in this paper we learn an interpretable graph-based classifier from data to predict the firings of ganglion cells in response to visual stimuli. Specifically, we learn a positive semi-definite (PSD) metric matrix ${mathbf {M}}succeq 0$ that defines Mahalanobis distances between graph nodes (visual events) endowed with pre-computed feature vectors; the computed inter-node distances lead to edge weights and a combinatorial graph that is amenable to binary classification. Mathematically, we define the objective of metric matrix ${mathbf {M}}$ optimization using a graph adaptation of large margin nearest neighbor (LMNN), which is rewritten as a semi-definite programming (SDP) problem. We solve it efficiently via a fast approximation called Gershgorin disc perfect alignment (GDPA) linearization. The learned metric matrix ${mathbf {M}}$ provides interpretability: important features are identified along ${mathbf {M}}$’s diagonal, and their mutual relationships are inferred from off-diagonal terms. Our fast metric learning framework can be applied to other biological systems with pre-chosen features that require interpretation.
神经科学中流行的一种假说认为,视网膜上的神经节细胞是通过选择性地检测观察到的场景中的视觉特征而被激活的。虽然神经节细胞的搏动可以通过数据训练的深度神经网络进行预测,但这些网络仍然难以解读,因此对细胞的底层运作知之甚少。为了从细胞搏动中提取知识,我们在本文中从数据中学习了一种基于图的可解释分类器,以预测神经节细胞在视觉刺激下的搏动。具体来说,我们学习一个正半有穷(PSD)度量矩阵 $mathbf{M}succeq 0$ 定义了图节点(视觉事件)之间的马哈拉诺比距离,并预先计算了特征向量;计算出的节点间距离产生了边缘权重和组合图,可用于二元分类。在数学上,我们定义了度量矩阵$mathbf{M}$优化的目标,使用了大边际近邻(LMNN)的图适应性,并将其改写为半有限编程(SDP)问题。我们通过一种称为格什高林圆盘完美配准(GDPA)线性化的快速近似方法高效地解决了这一问题。学习到的度量矩阵 $mathbf{M}$ 提供了可解释性:重要特征沿着 $mathbf{M}$ 的对角线被识别出来,它们之间的相互关系可以从对角线外的项中推断出来。我们的快速度量学习框架可应用于其他具有需要解释的预选特征的生物系统。
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引用次数: 0
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IEEE open journal of signal processing
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