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Matrix-Similarity Based Loss Function and Feature Selection for Alzheimer's Disease Diagnosis. 基于矩阵相似度的阿尔茨海默病诊断损失函数和特征选择。
Xiaofeng Zhu, Heung-Il Suk, Dinggang Shen

Recent studies on Alzheimer's Disease (AD) or its prodromal stage, Mild Cognitive Impairment (MCI), diagnosis presented that the tasks of identifying brain disease status and predicting clinical scores based on neuroimaging features were highly related to each other. However, these tasks were often conducted independently in the previous studies. Regarding the feature selection, to our best knowledge, most of the previous work considered a loss function defined as an element-wise difference between the target values and the predicted ones. In this paper, we consider the problems of joint regression and classification for AD/MCI diagnosis and propose a novel matrix-similarity based loss function that uses high-level information inherent in the target response matrix and imposes the information to be preserved in the predicted response matrix. The newly devised loss function is combined with a group lasso method for joint feature selection across tasks, i.e., clinical scores prediction and disease status identification. We conducted experiments on the Alzheimer's Disease Neuroimaging Initiative (ADNI) dataset, and showed that the newly devised loss function was effective to enhance the performances of both clinical score prediction and disease status identification, outperforming the state-of-the-art methods.

近年来对阿尔茨海默病(AD)或其前症阶段轻度认知障碍(MCI)诊断的研究表明,基于神经影像学特征识别脑部疾病状态和预测临床评分的任务彼此高度相关。然而,在以往的研究中,这些任务往往是独立进行的。关于特征选择,据我们所知,之前的大部分工作都考虑了一个损失函数,它被定义为目标值和预测值之间的元素差异。在本文中,我们考虑了AD/MCI诊断中的联合回归和分类问题,提出了一种新的基于矩阵相似度的损失函数,该函数利用目标响应矩阵中固有的高级信息,并将需要保留的信息加到预测响应矩阵中。新设计的损失函数与组套索方法相结合,跨任务进行联合特征选择,即临床评分预测和疾病状态识别。我们在阿尔茨海默病神经成像倡议(ADNI)数据集上进行了实验,结果表明,新设计的损失函数有效地提高了临床评分预测和疾病状态识别的性能,优于最先进的方法。
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引用次数: 71
Deformable Registration of Feature-Endowed Point Sets Based on Tensor Fields. 基于张量场的特征赋值点集可变形配准。
Demian Wassermann, James Ross, George Washko, William M Wells, Raul San Jose-Estepar
The main contribution of this work is a framework to register anatomical structures characterized as a point set where each point has an associated symmetric matrix. These matrices can represent problem-dependent characteristics of the registered structure. For example, in airways, matrices can represent the orientation and thickness of the structure. Our framework relies on a dense tensor field representation which we implement sparsely as a kernel mixture of tensor fields. We equip the space of tensor fields with a norm that serves as a similarity measure. To calculate the optimal transformation between two structures we minimize this measure using an analytical gradient for the similarity measure and the deformation field, which we restrict to be a diffeomorphism. We illustrate the value of our tensor field model by comparing our results with scalar and vector field based models. Finally, we evaluate our registration algorithm on synthetic data sets and validate our approach on manually annotated airway trees.
这项工作的主要贡献是一个框架,以注册解剖结构为特征的点集,其中每个点都有一个相关的对称矩阵。这些矩阵可以表示注册结构的与问题相关的特征。例如,在气道中,矩阵可以表示结构的方向和厚度。我们的框架依赖于密集张量场表示,我们将其稀疏地实现为张量场的核混合。我们给张量场的空间配备一个范数作为相似度度量。为了计算两个结构之间的最优转换,我们使用相似性度量和变形场的解析梯度来最小化该度量,我们将其限制为微分同态。我们通过将我们的结果与基于标量和矢量场的模型进行比较来说明我们的张量场模型的价值。最后,我们在合成数据集上评估了我们的配准算法,并在手动注释的气道树上验证了我们的方法。
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引用次数: 4
A Riemannian framework for matching point clouds represented by the Schrödinger distance transform. 以薛定谔距离变换为代表的点云匹配黎曼框架。
Yan Deng, Anand Rangarajan, Stephan Eisenschenk, Baba C Vemuri

In this paper, we cast the problem of point cloud matching as a shape matching problem by transforming each of the given point clouds into a shape representation called the Schrödinger distance transform (SDT) representation. This is achieved by solving a static Schrödinger equation instead of the corresponding static Hamilton-Jacobi equation in this setting. The SDT representation is an analytic expression and following the theoretical physics literature, can be normalized to have unit L2 norm-making it a square-root density, which is identified with a point on a unit Hilbert sphere, whose intrinsic geometry is fully known. The Fisher-Rao metric, a natural metric for the space of densities leads to analytic expressions for the geodesic distance between points on this sphere. In this paper, we use the well known Riemannian framework never before used for point cloud matching, and present a novel matching algorithm. We pose point set matching under rigid and non-rigid transformations in this framework and solve for the transformations using standard nonlinear optimization techniques. Finally, to evaluate the performance of our algorithm-dubbed SDTM-we present several synthetic and real data examples along with extensive comparisons to state-of-the-art techniques. The experiments show that our algorithm outperforms state-of-the-art point set registration algorithms on many quantitative metrics.

在本文中,我们将点云匹配问题转换为形状匹配问题,将每个给定点云转换为一种称为薛定谔距离变换(SDT)的形状表示。这是通过求解静态薛定谔方程来实现的,而不是在这种情况下求解相应的静态汉密尔顿-贾科比方程。SDT 表示是一个解析表达式,根据理论物理学文献,可以将其归一化为单位 L2 规范,使其成为一个平方根密度,与单位希尔伯特球面上的一个点相一致,而希尔伯特球面的内在几何形状是完全已知的。费舍尔-拉奥度量是密度空间的自然度量,它导致了该球面上各点之间测地距离的解析表达式。在本文中,我们使用了从未用于点云匹配的众所周知的黎曼框架,并提出了一种新颖的匹配算法。在此框架下,我们提出了刚性和非刚性变换下的点集匹配,并使用标准非线性优化技术解决了变换问题。最后,为了评估我们的算法--SDTM--的性能,我们展示了几个合成和真实数据示例,并与最先进的技术进行了广泛比较。实验表明,我们的算法在许多量化指标上都优于最先进的点集配准算法。
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引用次数: 0
Joint Coupled-Feature Representation and Coupled Boosting for AD Diagnosis. AD诊断的联合耦合特征表示与耦合增强。
Yinghuan Shi, Heung-Il Suk, Yang Gao, Dinggang Shen

Recently, there has been a great interest in computer-aided Alzheimer's Disease (AD) and Mild Cognitive Impairment (MCI) diagnosis. Previous learning based methods defined the diagnosis process as a classification task and directly used the low-level features extracted from neuroimaging data without considering relations among them. However, from a neuroscience point of view, it's well known that a human brain is a complex system that multiple brain regions are anatomically connected and functionally interact with each other. Therefore, it is natural to hypothesize that the low-level features extracted from neuroimaging data are related to each other in some ways. To this end, in this paper, we first devise a coupled feature representation by utilizing intra-coupled and inter-coupled interaction relationship. Regarding multi-modal data fusion, we propose a novel coupled boosting algorithm that analyzes the pairwise coupled-diversity correlation between modalities. Specifically, we formulate a new weight updating function, which considers both incorrectly and inconsistently classified samples. In our experiments on the ADNI dataset, the proposed method presented the best performance with accuracies of 94.7% and 80.1% for AD vs. Normal Control (NC) and MCI vs. NC classifications, respectively, outperforming the competing methods and the state-of-the-art methods.

近年来,计算机辅助阿尔茨海默病(AD)和轻度认知障碍(MCI)诊断引起了人们的极大兴趣。以前基于学习的方法将诊断过程定义为分类任务,直接使用从神经影像学数据中提取的低级特征,而不考虑它们之间的关系。然而,从神经科学的角度来看,众所周知,人类的大脑是一个复杂的系统,多个大脑区域在解剖学上是相互联系的,并且在功能上相互作用。因此,很自然地假设从神经成像数据中提取的低级特征在某些方面是相互关联的。为此,本文首先利用内耦合和内耦合的交互关系设计了一种耦合特征表示。针对多模态数据融合,提出了一种新的耦合增强算法,分析了模态间的两两耦合分集相关性。具体来说,我们制定了一个新的权重更新函数,它考虑了不正确和不一致分类的样本。在ADNI数据集上的实验中,本文提出的方法在AD与正常控制(NC)、MCI与NC分类上的准确率分别为94.7%和80.1%,表现出最佳性能,优于竞争对手的方法和最先进的方法。
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引用次数: 28
Classification of Tumor Histology via Morphometric Context. 通过形态学内涵对肿瘤组织学进行分类。
Hang Chang, Alexander Borowsky, Paul Spellman, Bahram Parvin

Image-based classification of tissue histology, in terms of different components (e.g., normal signature, categories of aberrant signatures), provides a series of indices for tumor composition. Subsequently, aggregation of these indices in each whole slide image (WSI) from a large cohort can provide predictive models of clinical outcome. However, the performance of the existing techniques is hindered as a result of large technical and biological variations that are always present in a large cohort. In this paper, we propose two algorithms for classification of tissue histology based on robust representations of morphometric context, which are built upon nuclear level morphometric features at various locations and scales within the spatial pyramid matching (SPM) framework. These methods have been evaluated on two distinct datasets of different tumor types collected from The Cancer Genome Atlas (TCGA), and the experimental results indicate that our methods are (i) extensible to different tumor types; (ii) robust in the presence of wide technical and biological variations; (iii) invariant to different nuclear segmentation strategies; and (iv) scalable with varying training sample size. In addition, our experiments suggest that enforcing sparsity, during the construction of morphometric context, further improves the performance of the system.

基于图像的组织学分类可根据不同的成分(如正常特征、异常特征类别)提供一系列肿瘤组成指数。随后,将这些指数汇总到来自大型群组的每张全切片图像(WSI)中,可提供临床结果的预测模型。然而,现有技术的性能受到了很大的阻碍,因为在大型队列中总是存在很大的技术和生物差异。在本文中,我们提出了两种基于形态学背景稳健表征的组织组织学分类算法,这两种算法建立在空间金字塔匹配(SPM)框架内不同位置和尺度的核级形态学特征上。实验结果表明,我们的方法(i) 可扩展到不同肿瘤类型;(ii) 在广泛的技术和生物变异中保持稳健;(iii) 不受不同核分割策略的影响;(iv) 可根据不同的训练样本规模进行扩展。此外,我们的实验表明,在构建形态测量上下文时强制执行稀疏性,可进一步提高系统的性能。
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引用次数: 0
Incorporating User Interaction and Topological Constraints within Contour Completion via Discrete Calculus. 利用离散微积分在轮廓补全中结合用户交互和拓扑约束。
Pub Date : 2013-06-01 Epub Date: 2013-10-03 DOI: 10.1109/cvpr.2013.246
Jia Xu, Maxwell D Collins, Vikas Singh

We study the problem of interactive segmentation and contour completion for multiple objects. The form of constraints our model incorporates are those coming from user scribbles (interior or exterior constraints) as well as information regarding the topology of the 2-D space after partitioning (number of closed contours desired). We discuss how concepts from discrete calculus and a simple identity using the Euler characteristic of a planar graph can be utilized to derive a practical algorithm for this problem. We also present specialized branch and bound methods for the case of single contour completion under such constraints. On an extensive dataset of ~ 1000 images, our experiments suggest that a small amount of side knowledge can give strong improvements over fully unsupervised contour completion methods. We show that by interpreting user indications topologically, user effort is substantially reduced.

研究了多目标的交互式分割和轮廓补全问题。我们的模型所包含的约束形式来自于用户的涂鸦(内部或外部约束),以及关于分割后的2-D空间拓扑的信息(所需闭合轮廓的数量)。我们讨论了如何利用离散微积分的概念和利用平面图的欧拉特征的简单恒等式来推导出解决这一问题的实用算法。我们还提出了在这种约束下的单轮廓补全情况下的专门的分支和定界方法。在大约1000张图像的大数据集上,我们的实验表明,少量的侧面知识可以比完全无监督的轮廓补全方法有很大的改进。我们表明,通过拓扑解释用户指示,用户的工作大大减少。
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引用次数: 14
Computing Diffeomorphic Paths for Large Motion Interpolation. 计算大运动插值的微分同构路径。
Dohyung Seo, Ho Jeffrey, Baba C Vemuri

In this paper, we introduce a novel framework for computing a path of diffeomorphisms between a pair of input diffeomorphisms. Direct computation of a geodesic path on the space of diffeomorphisms Diff(Ω) is difficult, and it can be attributed mainly to the infinite dimensionality of Diff(Ω). Our proposed framework, to some degree, bypasses this difficulty using the quotient map of Diff(Ω) to the quotient space Diff(M)/Diff(M) μ obtained by quotienting out the subgroup of volume-preserving diffeomorphisms Diff(M) μ . This quotient space was recently identified as the unit sphere in a Hilbert space in mathematics literature, a space with well-known geometric properties. Our framework leverages this recent result by computing the diffeomorphic path in two stages. First, we project the given diffeomorphism pair onto this sphere and then compute the geodesic path between these projected points. Second, we lift the geodesic on the sphere back to the space of diffeomerphisms, by solving a quadratic programming problem with bilinear constraints using the augmented Lagrangian technique with penalty terms. In this way, we can estimate the path of diffeomorphisms, first, staying in the space of diffeomorphisms, and second, preserving shapes/volumes in the deformed images along the path as much as possible. We have applied our framework to interpolate intermediate frames of frame-sub-sampled video sequences. In the reported experiments, our approach compares favorably with the popular Large Deformation Diffeomorphic Metric Mapping framework (LDDMM).

在本文中,我们引入了一种新的框架来计算一对输入微同态之间的微同态路径。在差分同态空间Diff(Ω)上直接计算测地线路径是困难的,这主要归因于Diff的无限维数(Ω)。我们提出的框架在一定程度上绕过了这一困难,使用Diff(Ω)到商空间Diff(M)/Diff(M) μ的商映射,该映射是通过商出保容微分同态的子群Diff(M) μ得到的。这个商空间最近在数学文献中被认定为希尔伯特空间中的单位球,希尔伯特空间具有众所周知的几何性质。我们的框架通过分两个阶段计算微分同构路径来利用这个最新的结果。首先,我们将给定的微分同构对投影到这个球体上,然后计算投影点之间的测地线路径。其次,利用带惩罚项的增广拉格朗日技术求解一个双线性约束的二次规划问题,将球面上的测地线抬升回微分异构空间。这样,我们可以估计出微分同态的路径,首先,停留在微分同态的空间中,其次,尽可能地保留沿路径的形变图像中的形状/体积。我们已经应用我们的框架来插值帧次采样视频序列的中间帧。在报道的实验中,我们的方法与流行的大变形微分同构度量映射框架(LDDMM)相比具有优势。
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引用次数: 9
Prostate Segmentation in CT Images via Spatial-Constrained Transductive Lasso. 基于空间约束转导套索的CT图像前列腺分割。
Yinghuan Shi, Shu Liao, Yaozong Gao, Daoqiang Zhang, Yang Gao, Dinggang Shen

Accurate prostate segmentation in CT images is a significant yet challenging task for image guided radiotherapy. In this paper, a novel semi-automated prostate segmentation method is presented. Specifically, to segment the prostate in the current treatment image, the physician first takes a few seconds to manually specify the first and last slices of the prostate in the image space. Then, the prostate is segmented automatically by the proposed two steps: (i) The first step of prostate-likelihood estimation to predict the prostate likelihood for each voxel in the current treatment image, aiming to generate the 3-D prostate-likelihood map by the proposed Spatial-COnstrained Transductive LassO (SCOTO); (ii) The second step of multi-atlases based label fusion to generate the final segmentation result by using the prostate shape information obtained from the planning and previous treatment images. The experimental result shows that the proposed method outperforms several state-of-the-art methods on prostate segmentation in a real prostate CT dataset, consisting of 24 patients with 330 images. Moreover, it is also clinically feasible since our method just requires the physician to spend a few seconds on manual specification of the first and last slices of the prostate.

CT图像中前列腺的准确分割是图像引导放射治疗的重要而又具有挑战性的任务。本文提出了一种新的半自动前列腺分割方法。具体来说,为了在当前治疗图像中分割前列腺,医生首先需要花几秒钟的时间手动指定图像空间中前列腺的第一个和最后一个切片。然后,通过提出的两步对前列腺进行自动分割:(i)第一步进行前列腺似然估计,预测当前治疗图像中每个体素的前列腺似然,目的是利用提出的空间约束转导LassO (Spatial-COnstrained Transductive LassO, SCOTO)算法生成三维前列腺似然图;(ii)第二步基于多地图集的标签融合,利用规划图像和先前治疗图像获得的前列腺形状信息生成最终的分割结果。实验结果表明,该方法在真实的前列腺CT数据集(包含24名患者和330张图像)上的分割效果优于现有的几种方法。此外,我们的方法在临床上也是可行的,因为我们的方法只需要医生花几秒钟的时间来手动指定前列腺的第一片和最后一片。
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引用次数: 34
Selective Transfer Machine for Personalized Facial Action Unit Detection. 个性化面部动作单元检测的选择性转移机。
Wen-Sheng Chu, Fernando De la Torre, Jeffery F Cohn

Automatic facial action unit (AFA) detection from video is a long-standing problem in facial expression analysis. Most approaches emphasize choices of features and classifiers. They neglect individual differences in target persons. People vary markedly in facial morphology (e.g., heavy versus delicate brows, smooth versus deeply etched wrinkles) and behavior. Individual differences can dramatically influence how well generic classifiers generalize to previously unseen persons. While a possible solution would be to train person-specific classifiers, that often is neither feasible nor theoretically compelling. The alternative that we propose is to personalize a generic classifier in an unsupervised manner (no additional labels for the test subjects are required). We introduce a transductive learning method, which we refer to Selective Transfer Machine (STM), to personalize a generic classifier by attenuating person-specific biases. STM achieves this effect by simultaneously learning a classifier and re-weighting the training samples that are most relevant to the test subject. To evaluate the effectiveness of STM, we compared STM to generic classifiers and to cross-domain learning methods in three major databases: CK+ [20], GEMEP-FERA [32] and RU-FACS [2]. STM outperformed generic classifiers in all.

人脸动作单元(AFA)的自动检测是人脸表情分析中一个长期存在的问题。大多数方法强调特征和分类器的选择。他们忽视了目标人群的个体差异。人们在面部形态和行为上有明显的差异(例如,浓眉和细眉,光滑的皱纹和深纹)。个体差异可以显著影响一般分类器对以前未见过的人的泛化程度。虽然一个可能的解决方案是训练针对个人的分类器,但这通常既不可行,也不具有理论上的说服力。我们建议的替代方案是以无监督的方式个性化通用分类器(不需要为测试对象添加额外的标签)。我们引入了一种传导学习方法,我们称之为选择性转移机(STM),通过衰减个人特定的偏差来个性化通用分类器。STM通过同时学习分类器并重新加权与测试主题最相关的训练样本来实现此效果。为了评估STM的有效性,我们将STM与三个主要数据库(CK+ [20], GEMEP-FERA[32]和RU-FACS[2])中的通用分类器和跨领域学习方法进行了比较。STM在所有分类器中都优于通用分类器。
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引用次数: 288
Sasaki Metrics for Analysis of Longitudinal Data on Manifolds. 流形纵向数据分析的Sasaki度量。
Prasanna Muralidharan, P Thomas Fletcher

Longitudinal data arises in many applications in which the goal is to understand changes in individual entities over time. In this paper, we present a method for analyzing longitudinal data that take values in a Riemannian manifold. A driving application is to characterize anatomical shape changes and to distinguish between trends in anatomy that are healthy versus those that are due to disease. We present a generative hierarchical model in which each individual is modeled by a geodesic trend, which in turn is considered as a perturbation of the mean geodesic trend for the population. Each geodesic in the model can be uniquely parameterized by a starting point and velocity, i.e., a point in the tangent bundle. Comparison between these parameters is achieved through the Sasaki metric, which provides a natural distance metric on the tangent bundle. We develop a statistical hypothesis test for differences between two groups of longitudinal data by generalizing the Hotelling T 2 statistic to manifolds. We demonstrate the ability of these methods to distinguish differences in shape changes in a comparison of longitudinal corpus callosum data in subjects with dementia versus healthily aging controls.

纵向数据出现在许多应用程序中,其目标是了解单个实体随时间的变化。在本文中,我们提出了一种分析在黎曼流形中取值的纵向数据的方法。一个驱动应用是描述解剖形状变化的特征,并区分健康的解剖趋势与疾病引起的解剖趋势。我们提出了一个生成层次模型,其中每个个体都由测地线趋势建模,而测地线趋势又被认为是总体平均测地线趋势的扰动。模型中的每个测地线可以由一个起点和速度唯一地参数化,即切线束中的一个点。这些参数之间的比较是通过Sasaki度量来实现的,Sasaki度量提供了切线束上的自然距离度量。通过将霍特林T 2统计量推广到流形,我们对两组纵向数据之间的差异进行了统计假设检验。我们证明了这些方法的能力,以区分形状变化的差异在纵向胼胝体数据与痴呆受试者与健康老化对照。
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引用次数: 48
期刊
Proceedings. IEEE Computer Society Conference on Computer Vision and Pattern Recognition
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