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引用次数: 0
摘要
我们提出了一种新的独立分量分析(ICA)方法,以便从高维数据中提取适当的特征。一般来说,包括 ICA 在内的矩阵因式分解方法在提取特征的可解释性方面存在问题。为了提高可解释性,对因式分解矩阵进行稀疏约束很有帮助。在此背景下,我们构建了一种具有稀疏性的新 ICA 方法。在我们的方法中,ICA 的代价函数中加入了 ℓ1-regularized IC 项,代价函数的最小化是通过凸函数差分算法来实现的。为了证明我们提出的方法的有效性,我们将其应用于合成数据和真实的功能磁共振成像数据。
ℓ 1 -Regularized ICA: A Novel Method for Analysis of Task-Related fMRI Data.
We propose a new method of independent component analysis (ICA) in order to extract appropriate features from high-dimensional data. In general, matrix factorization methods including ICA have a problem regarding the interpretability of extracted features. For the improvement of interpretability, sparse constraint on a factorized matrix is helpful. With this background, we construct a new ICA method with sparsity. In our method, the ℓ1-regularized IC term is added to the cost function of ICA, and minimization of the cost function is performed by a difference of convex functions algorithm. For the validity of our proposed method, we apply it to synthetic data and real functional magnetic resonance imaging data.
期刊介绍:
Neural Computation is uniquely positioned at the crossroads between neuroscience and TMCS and welcomes the submission of original papers from all areas of TMCS, including: Advanced experimental design; Analysis of chemical sensor data; Connectomic reconstructions; Analysis of multielectrode and optical recordings; Genetic data for cell identity; Analysis of behavioral data; Multiscale models; Analysis of molecular mechanisms; Neuroinformatics; Analysis of brain imaging data; Neuromorphic engineering; Principles of neural coding, computation, circuit dynamics, and plasticity; Theories of brain function.