Multimodal fusion provides multiple benefits over single modality analysis by leveraging both shared and complementary information from different modalities. Notably, supervised fusion enjoys extensive interest for capturing multimodal co-varying patterns associated with clinical measures. A key challenge of brain data analysis is how to handle confounds, which, if unaddressed, can lead to an unrealistic description of the relationship between the brain and clinical measures. Current approaches often rely on linear regression to remove covariate effects prior to fusion, which may lead to information loss, rather than pursue the more global strategy of optimizing both fusion and covariates removal simultaneously. Thus, we propose "CR-mCCAR" to jointly optimize for confounds within a guided fusion model, capturing co-varying multimodal patterns associated with a specific clinical domain while also discounting covariate effects. Simulations show that CR-mCCAR separate the reference and covariate factors accurately. Functional and structural neuroimaging data fusion reveals co-varying patterns in attention deficit/hyperactivity disorder (ADHD, striato-thalamo-cortical and salience areas) and in autism spectrum disorder (ASD, salience and fronto-temporal areas) that link with core symptoms but uncorrelate with age and motion. These results replicate in an independent cohort. Downstream classification accuracy between ADHD/ASD and controls is markedly higher for CR-mCCAR compared to fusion and regression separately. CR-mCCAR can be extended to include multiple targets and multiple covariates. Overall, results demonstrate CR-mCCAR can jointly optimize for target components that correlate with the reference(s) while removing nuisance covariates. This approach can improve the meaningful detection of reliable phenotype-linked multimodal biomarkers for brain disorders.

The reliability of functional network connectivity (FNC) measured using independent component analysis (ICA) has frequently been explored within the literature, with results displaying varying levels of reliability and demonstrating that minor changes in data preprocessing procedures can significantly alter FC results and reliability. However, one important avenue of research that has not been explored within the current literature is the effect of spatial normalization techniques on FNC reliability. Spatially constrained independent component analysis techniques such as multi-objective optimization with reference (MOO-ICAR) is one of many methods used to study brain functional connectivity (FC) using fMRI that is theoretically robust to variations which may arise in data as a result of normalization procedures. In this work, we deploy MOO-ICAR across 30 different spatial normalization pipelines varying across participant template, normalization modality (anatomical vs functional), and one vs. two-stage warps to MNI space. Most components display relatively high consistency intraclass-correlation coefficients (ICCs), with the vast majoritv (~80%) ereater than 0.5.

Unsupervised latent variable models-blind source separation (BSS) especially-enjoy a strong reputation for their interpretability. But they seldom combine the rich diversity of information available in multiple datasets, even though multidatasets yield insightful joint solutions otherwise unavailable in isolation. We present a direct, principled approach to multidataset combination that takes advantage of multidimensional subspace structures. In turn, we extend BSS models to capture the underlying modes of shared and unique variability across and within datasets. Our approach leverages joint information from heterogeneous datasets in a flexible and synergistic fashion. We call this method multidataset independent subspace analysis (MISA). Methodological innovations exploiting the Kotz distribution for subspace modeling, in conjunction with a novel combinatorial optimization for evasion of local minima, enable MISA to produce a robust generalization of independent component analysis (ICA), independent vector analysis (IVA), and independent subspace analysis (ISA) in a single unified model. We highlight the utility of MISA for multimodal information fusion, including sample-poor regimes ( N = 600 ) and low signal-to-noise ratio, promoting novel applications in both unimodal and multimodal brain imaging data.

Independent vector analysis (IVA) is an approach for joint blind source separation of several data sets that learns simultaneous unmixing transforms for each set. It assumes corresponding sources from different data sets to be statistically dependent. One of the main advantages is IVA's ability to retain subject-specific differences while simplifying comparison across subjects as the resulting components have the same order. The latter is an instrumental property for enabling collaboration between remote sites without sharing their data, which may be required because of ethical, privacy or efficiency concerns. This paper proposes a new decentralized algorithm for IVA that exploits the structure of the objective function. A centralized aggregator coordinates IVA algorithms at multiple sites using message passing, parallelizing the computation and limiting the amount of communication. Thus, the algorithm enables a plausibly private collaboration across multiple sites. Besides enabling analysis of decentralized data, our approach improves the running time of IVA when used locally.

Despite its multivariate nature, independent component analysis (ICA) is generally limited to univariate latents in the sense that each latent component is a scalar process. Independent subspace analysis (ISA), or multidimensional ICA (MICA), is a generalization of ICA which identifies latent independent vector components instead. While ISA/MICA considers multidimensional latent components within a single dataset, our work specifically considers the case of multiple datasets. Independent vector analysis (IVA) is a related technique that also considers multiple datasets explicitly but with a fixed and constrained model. Here, we first show that 1) ISA/MICA naturally extends to the case of multiple datasets (which we call MISA), and that 2) IVA is a special case of this extension. Then we develop an algorithm for MISA and demonstrate its performance on both IVA- and MISA-type problems. The benefit of these extensions is that the vector sources (or subspaces) capture higher order statistical dependence across datasets while retaining independence between subspaces. This is a promising model that can explore complex latent relations across multiple datasets and help identify novel biological traits for intricate mental illnesses such as schizophrenia.