Department of Data Science and Knowledge Discovery
Machine learning has gained enormous international momentum, and it has been defined as a separate research topic at Simula since 2018. In particular, as a part of the new Simula Metropolitan Center for Digital Engineering, Data Science and Knowledge Discovery Department (DataSci) - previously known as the Machine Intelligence Department - was established in 2018.
DataSci at SimulaMet focuses on developing novel data mining/machine learning methods for the analysis of heterogeneous incomplete data (e.g., multi-modal, static, time-evolving, with missing entries) collected from complex systems (e.g., brain, human metabolome), with the goal of revealing interpretable patterns that can lead to improved understanding of such systems. Research activities at DataSci span the following areas: low-rank approximations, multimodal data mining (data fusion, coupled matrix/tensor factorizations), temporal data mining, numerical linear algebra, multilinear algebra, algorithms (numerical optimization) - with applications in precision medicine, phenotyping, omics data analysis, and neuroimaging data analysis (fMRI, EEG, dynamic brain connectivity, multimodal neuroimaging data analysis).
People at Department of Data Science and Knowledge Discovery
Who we are?
Simula Metropolitan employees are researchers, postdoctoral fellows, PhD students, engineers and administrative people. We are from all over the world, ranging from newly educated to experienced researchers, all working on making research in digital engineering at the highest international level possible.
Projects at Department of Data Science and Knowledge Discovery
TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion
Data mining holds the promise to improve our understanding of dynamics of complex systems such as the human brain and human metabolome (i.e., the complete set of small biochemical compounds in the human body) by discovering the underlying patterns, i.e., subsystems, in data collected from these systems. However, discovering those patterns and understanding their evolution in time is a challenging task. The complexity of the systems requires collection of both time-evolving and static data from multiple sources using different technologies recording the behavior of the system from complementary viewpoints, and there is a lack of data mining methods that can find the hidden patterns in such complex data.
The goal of this multidisciplinary project is to develop novel data mining techniques to jointly analyze static and dynamic data sets to discover underlying patterns, understand temporal dynamics of those patterns, and capture early signs of future outcomes. We will introduce a scalable and constrained data fusion framework that can jointly factorize heterogeneous data in the form of matrices and multi-way arrays, by incorporating temporal as well as domain-specific constraints.
These methods will be motivated by a real, challenging system: the human metabolome, and used to jointly analyze static genetic information and longitudinal metabolomics data to discover interpretable patterns, i.e., subsystems corresponding to metabolic networks (networks of metabolites acting together), with the ultimate goal of understanding their role in the transition from healthy to diseased states. The project will play a significant role in terms of developing the data mining tools needed to extract meaningful information from the surge of data, referred to as "personal data clouds" being collected in predictive medicine studies, where participants give blood samples regularly to track their health status and will be alerted of early signs of diseases.
Funding Source
Research Council of Norway, IKTPLUSS (2020-2023)
Novo Nordisk Foundation, Exploratory Interdisciplinary Synergy Grant (2020-2022)
Partners
COPSAC (Danish Pediatric Asthma Center)
University of Copenhagen
University of Amsterdam
Publications at Department of Data Science and Knowledge Discovery
Talks, invited
Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
In IPAM Workshop on Explainable AI for the Sciences: Towards Novel Insights, 2023.Status: Published
Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Talks, invited |
| Year of Publication | 2023 |
| Location of Talk | IPAM Workshop on Explainable AI for the Sciences: Towards Novel Insights |
| URL | http://www.ipam.ucla.edu/abstract/?tid=18155&pcode=XAI2023 |
Journal Article
Analyzing postprandial metabolomics data using multiway models: A simulation study
bioRxiv (2022).Status: Submitted
Analyzing postprandial metabolomics data using multiway models: A simulation study
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | bioRxiv |
| Publisher | biorxiv |
| URL | https://doi.org/10.1101/2022.12.19.521154 |
| DOI | 10.1101/2022.12.19.521154 |
Reproducibility in Matrix and Tensor Decompositions: Focus on Model Match, Interpretability, and Uniqueness
IEEE Signal Processing Magazine 39, no. 4 (2022): 8-24.Status: Published
Reproducibility in Matrix and Tensor Decompositions: Focus on Model Match, Interpretability, and Uniqueness
| Afilliation | Machine Learning |
| Project(s) | TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion, Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | IEEE Signal Processing Magazine |
| Volume | 39 |
| Issue | 4 |
| Pagination | 8-24 |
| Date Published | 06/2022 |
| Publisher | IEEE |
| DOI | 10.1109/MSP.2022.3163870 |
Tracing Evolving Networks using Tensor Factorizations vs. ICA-based Approaches
Frontiers in Neuroscience 16 (2022).Status: Published
Tracing Evolving Networks using Tensor Factorizations vs. ICA-based Approaches
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | Frontiers in Neuroscience |
| Volume | 16 |
| Date Published | 04/2022 |
| Publisher | Frontiers |
| URL | https://www.frontiersin.org/article/10.3389/fnins.2022.861402 |
| DOI | 10.3389/fnins.2022.861402 |
An AO-ADMM approach to constraining PARAFAC2 on all modes
SIAM Journal on Mathematics of Data Science 4 (2022): 1191-1222.Status: Published
An AO-ADMM approach to constraining PARAFAC2 on all modes
Analyzing multi-way measurements with variations across one mode of the dataset is a challenge in various fields including data mining, neuroscience and chemometrics. For example, measurements may evolve over time or have unaligned time profiles. The PARAFAC2 model has been successfully used to analyze such data by allowing the underlying factor matrices in one mode (i.e., the evolving mode) to change across slices. The traditional approach to fit a PARAFAC2 model is to use an alternating least squares-based algorithm, which handles the constant cross-product constraint of the PARAFAC2 model by implicitly estimating the evolving factor matrices. This approach makes imposing regularization on these factor matrices challenging. There is currently no algorithm to flexibly impose such regularization with general penalty functions and hard constraints. In order to address this challenge and to avoid the implicit estimation, in this paper, we propose an algorithm for fitting PARAFAC2 based on alternating optimization with the alternating direction method of multipliers (AO-ADMM). With numerical experiments on simulated data, we show that the proposed PARAFAC2 AO-ADMM approach allows for flexible constraints, recovers the underlying patterns accurately, and is computationally efficient compared to the state-of-the-art. We also apply our model to a real-world chromatography dataset, and show that constraining the evolving mode improves the interpretability of the extracted patterns.
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | SIAM Journal on Mathematics of Data Science |
| Volume | 4 |
| Number | 3 |
| Pagination | 1191-1222 |
| Publisher | SIAM |
| Place Published | SIAM Journal on Mathematics of Data Science |
| DOI | 10.1137/21M1450033 |
Exploring Dynamic Metabolomics Data With Multiway Data Analysis: a Simulation Study
BMC Bioinformatics 23 (2022).Status: Published
Exploring Dynamic Metabolomics Data With Multiway Data Analysis: a Simulation Study
Background: Analysis of dynamic metabolomics data holds the promise to improve our understanding of underlying mechanisms in metabolism. For example, it may detect changes in metabolism due to the onset of a disease. Dynamic or time-resolved metabolomics data can be arranged as a three-way array with entries organized according to a subjects mode, a metabolites mode and a time mode. While such time-evolving multiway data sets are increasingly collected, revealing the underlying mechanisms and their dynamics from such data remains challenging. For such data, one of the complexities is the presence of a superposition of several sources of variation: induced variation (due to experimental conditions or inborn errors), individual variation, and measurement error. Multiway data analysis (also known as tensor factorizations) has been successfully used in data mining to find the underlying patterns in multiway data. In this paper, we study the use of multiway data analysis to reveal the underlying patterns and dynamics in time-resolved metabolomics data.
Results: We focus on simulated data arising from different dynamic models of increasing complexity, i.e., a simple linear system, a yeast glycolysis model, and a human cholesterol model. We generate data with induced variation as well as individual variation. Systematic experiments are performed to demonstrate the advantages and limitations of multiway data analysis in analyzing such dynamic metabolomics data and their capacity to disentangle the different sources of variations. We choose to use simulations since we want to understand the capability of multiway data analysis methods which is facilitated by knowing the ground truth.
Conclusion: Our numerical experiments demonstrate that despite the increasing complexity of the studied dynamic metabolic models, tensor factorization methods CANDECOMP/PARAFAC(CP) and Parallel Profiles with Linear Dependences (Paralind) can disentangle the sources of variations and thereby reveal the underlying mechanisms and their dynamics.
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | BMC Bioinformatics |
| Volume | 23 |
| Number | Article 31 |
| Date Published | 2022 |
| Publisher | Springer |
| DOI | 10.1186/s12859-021-04550-5 |
Poster
Characterizing postprandial metabolic response using multi-way data analysis
Norwegian Bioinformatics Days, 2022.Status: Published
Characterizing postprandial metabolic response using multi-way data analysis
Analysis of time-resolved postprandial metabolomics data can enhance our knowledge about the human metabolism by providing a better understanding of regulation of subgroups of metabolites (e.g., lipids) and variations in postprandial responses of subgroups of people, with the potential to ultimately advance precision medicine. However, characterizing postprandial metabolomics response and understanding group differences is a challenging task since it requires the analysis of large-scale metabolomics data from a large set of individuals containing measurements of a wide set of metabolites at multiple time points. Such data is in the form of a three-way array: subjects by metabolites by time points. The state-of-the-art analysis methods mainly focus on clustering temporal profiles relying on summaries of the data across subjects or univariate analysis techniques studying one metabolite at a time, and fail to associate subgroups of subjects and subsets of metabolites with the dynamic time profile simultaneously.
In this study, we use NMR (nuclear magnetic resonance) spectroscopy measurements of plasma samples (of over three hundred individuals from the COPSAC2000 cohort) collected at multiple time points during a challenge test. We use a multi-way analysis technique called the CANDECOMP/PARAFAC (CP) model to extract interpretable patterns from the time-resolved data. We compare the analysis of postprandial data, fasting state-corrected data and only fasting state data, and demonstrate the differences between different analysis approaches.
Our results show that the CP model reveals biologically meaningful patterns capturing how certain metabolite groups and their temporal profiles relate to various meta variables, in particular, BMI (body mass index), confirming already known biological knowledge as well as revealing new biological insights.
| Afilliation | Machine Learning |
| Project(s) | TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion, Department of Data Science and Knowledge Discovery |
| Publication Type | Poster |
| Year of Publication | 2022 |
| Place Published | Norwegian Bioinformatics Days |
| Keywords | CANDECOMP/PARAFAC, Dynamic metabolomics data, large-scale dataset, Tensor factorization |
Revealing dynamic changes in metabolism through the analysis of postprandial metabolomics data: A simulation study
Metabolomics 2022, 2022.Status: Published
Revealing dynamic changes in metabolism through the analysis of postprandial metabolomics data: A simulation study
| Afilliation | Machine Learning |
| Project(s) | TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion, Department of Data Science and Knowledge Discovery |
| Publication Type | Poster |
| Year of Publication | 2022 |
| Place Published | Metabolomics 2022 |
Proceedings, refereed
Multi-task FMRI Data Fusion using IVA and PARAFAC2
In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2022.Status: Published
Multi-task FMRI Data Fusion using IVA and PARAFAC2
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Proceedings, refereed |
| Year of Publication | 2022 |
| Conference Name | IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |
| Pagination | 1466-1470 |
| Publisher | IEEE |
| DOI | 10.1109/ICASSP43922.2022.9747662 |
Talks, contributed
Characterizing postprandial metabolomics response using multi-way data analysis
In Annual NORBIS Conference, 2022.Status: Published
Characterizing postprandial metabolomics response using multi-way data analysis
Analysis of time-resolved postprandial metabolomics data can enhance our knowledge about the human metabolism by providing a better understanding of regulation of subgroups of metabolites (e.g., lipids) and variations in postprandial responses of subgroups of people, with the potential to ultimately advance precision medicine. However, characterizing postprandial metabolomics response and understanding group differences is a challenging task since it requires the analysis of large-scale metabolomics data from a large set of individuals containing measurements of a wide set of metabolites at multiple time points. Such data is in the form of a three-way array: subjects by metabolites by time points. The state-of-the-art analysis methods mainly focus on clustering temporal profiles relying on summaries of the data across subjects or univariate analysis techniques studying one metabolite at a time, and fail to associate subgroups of subjects and subsets of metabolites with the dynamic time profile simultaneously.
In this study, we use NMR (nuclear magnetic resonance) spectroscopy measurements of plasma samples (of over three hundred individuals from the COPSAC2000 cohort) collected at multiple time points during a challenge test. We use a multi-way analysis technique called the CANDECOMP/PARAFAC (CP) model to extract interpretable patterns from the time-resolved data. We compare the analysis of postprandial data, fasting state-corrected data and only fasting state data, and demonstrate the differences between different analysis approaches.
Our results show that the CP model reveals biologically meaningful patterns capturing how certain metabolite groups and their temporal profiles relate to various meta variables, in particular, BMI (body mass index), confirming already known biological knowledge as well as revealing new biological insights.
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Talks, contributed |
| Year of Publication | 2022 |
| Location of Talk | Annual NORBIS Conference |
DeCipher
Cancer is a significant cause of morbidity and mortality worldwide. In Norway alone, there are more than 33,000 new cancer patients each year, and 11,000 cancer-associated deaths in 2017. A large proportion of these incidents are preventable. For example, a mass-screening program against cervical cancer established in the Nordic countries has demonstrated a reduction in morbidity and mortality almost by 80 %. Despite this success, it remains a significant challenge to improve the screening program, such as minimize over screening and undertreatment and hence reduce expenditure in a broad public health perspective.
Current knowledge about the disease, together with a wealth of available data and modern technologies, can offer far better-personalized prevention, by deriving an individual-based time till the next screening. Existing automatic decision support systems for cervical cancer prevention are, however, extremely conservative as they are mostly limited to identifying patients who are overdue for their next routine screening, without providing any personalized recommendations for follow-ups.
By intelligent use of existing registries and health data, DeCipher aims to develop a data-driven framework to provide a personalized time-varying risk assessment for cancer initiation and identify subgroups of individuals and factors leading to similar disease progression. By unveiling structure hidden in the data, we will develop novel theoretically grounded machine learning methods for the analysis of large-scale registry and health data.
DeCipher consists of an excellent multidisciplinary research team from diverse fields such as machine learning, data mining, screening programs, and epidemiology. Available to screening programs, clinicians, and individuals in the population, the DeCipher results will allow for an improvement of an individual’s preventive cancer healthcare while reducing the cost of screening programs.
SimulaMet’s Role
SimulaMet will play a central role in the development of machine learning algorithms for longitudinal screening data analysis. Moreover, as the coordinator, SimulaMet is responsible for overall project management and dissemination activities.
Funding source
Research Council of Norway, IKTPLUSS
All partners
Cancer Registry Norway
Karolinska University Hospital, Sweden
Lawrence Livermore National Lab, USA
Coordinator
SimulaMet
Publications at Department of Data Science and Knowledge Discovery
Journal Article
Unsupervised EHR-based Phenotyping via Matrix and Tensor Decompositions
arxiv (2022).Status: Submitted
Unsupervised EHR-based Phenotyping via Matrix and Tensor Decompositions
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , DeCipher |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | arxiv |
| Publisher | arxiv |
| URL | https://arxiv.org/abs/2209.00322 |
Proceedings, refereed
Phenotyping of cervical cancer risk groups via generalized low-rank models using medical questionnaires
In Norwegian AI Symposium. Springer, 2022.Status: Accepted
Phenotyping of cervical cancer risk groups via generalized low-rank models using medical questionnaires
| Afilliation | Machine Learning |
| Project(s) | DeCipher |
| Publication Type | Proceedings, refereed |
| Year of Publication | 2022 |
| Conference Name | Norwegian AI Symposium |
| Publisher | Springer |
Talks, contributed
Mono- and multi-infection patterns of HPV and the risk of cervical intraepithelial neoplasia
In Færøyene. ANCR Symposium, 2022.Status: Published
Mono- and multi-infection patterns of HPV and the risk of cervical intraepithelial neoplasia
| Afilliation | Machine Learning |
| Project(s) | DeCipher |
| Publication Type | Talks, contributed |
| Year of Publication | 2022 |
| Location of Talk | Færøyene |
| Publisher | ANCR Symposium |
Talks, contributed
Generalized Low-Rank Models for Phenotyping Cervical Cancer Risk Groups using Medical Questionnaires
In Stavanger, Norway, 2021.Status: Published
Generalized Low-Rank Models for Phenotyping Cervical Cancer Risk Groups using Medical Questionnaires
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , DeCipher |
| Publication Type | Talks, contributed |
| Year of Publication | 2021 |
| Location of Talk | Stavanger, Norway |
UPSKILL
An incomplete mapping of the skills of a given individual, combined with insufficient insight into a company's actual need for competence, give rise to quite a few challenges. For instance, it may lead to hiring the wrong candidates, lack of insight into the best path for personal development and challenges when deciding relevant content for courses, learning material and for continued education.
UPSKILL will introduce a global platform for professional networking. The platform will connect individuals, companies and learning providers, and offer automatic methods for identification, mapping, and development of skills and abilities.
The project will result in new methods for representing the skills of an individual, mapping a company's need for competence, as well as new methods for matching available skills and abilities with the actual need for
competence. The methods will be self-learning, applicable for commercial use and independent of industry.
As a result, the UPSKILL platform will lead to simplified and less expensive hiring and restructuring processes, reduced risk of hiring wrong candidates, free competence guidance for individuals, and content recommendation for learning providers. The platform will be launched in Europe and Southeast Asia after project completion.
Simula’s Role
Simula plays a central role in designing and developing data-driven algorithms for the automatic and unbiased hiring process, identification of individual’s competence profile from available data sources, and development of matching algorithms for potential employees and employers. The developed methods will form a solid foundation for the UPSKILL platform.
Funding source
Research Council of Norway, BIA
All partners
Simula Metropolitan Center for Digital Engineering
Oslo Metropolitan University
University of South-Eastern Norway
Coordinator
Conexus AS
Publications at Department of Data Science and Knowledge Discovery
Journal Article
MatCoupLy: Learning coupled matrix factorizations with Python
SoftwareX 21, no. 101294 (2023).Status: Published
MatCoupLy: Learning coupled matrix factorizations with Python
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2023 |
| Journal | SoftwareX |
| Volume | 21 |
| Issue | 101294 |
| Date Published | Feb-01-2023 |
| Publisher | Elsevier |
| ISSN | 2352-7110 |
| URL | https://linkinghub.elsevier.com/retrieve/pii/Shttps://www.sciencedirect.... |
| DOI | 10.1016/j.softx.2022.101292 |
Talks, invited
Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
In IPAM Workshop on Explainable AI for the Sciences: Towards Novel Insights, 2023.Status: Published
Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Talks, invited |
| Year of Publication | 2023 |
| Location of Talk | IPAM Workshop on Explainable AI for the Sciences: Towards Novel Insights |
| URL | http://www.ipam.ucla.edu/abstract/?tid=18155&pcode=XAI2023 |
Book
Multiblock Data Fusion in Statistics and Machine Learning: Applications in the Natural and Life Sciences
Chichester, UK: John Wiley & Sons, 2022.Status: Published
Multiblock Data Fusion in Statistics and Machine Learning: Applications in the Natural and Life Sciences
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery |
| Publication Type | Book |
| Year of Publication | 2022 |
| Publisher | John Wiley & Sons |
| Place Published | Chichester, UK |
Journal Article
TLViz: Visualising and analysing tensor decomposition models with Python
Journal of Open Source Software 7, no. 79 (2022): 4754.Status: Published
TLViz: Visualising and analysing tensor decomposition models with Python
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | Journal of Open Source Software |
| Volume | 7 |
| Issue | 79 |
| Pagination | 4754 |
| Date Published | Nov-25-2022 |
| Publisher | The Open Journal |
| URL | https://joss.theoj.org/papers/10.21105/joss.04754 |
| DOI | 10.21105/joss10.21105/joss.04754 |
Analyzing postprandial metabolomics data using multiway models: A simulation study
bioRxiv (2022).Status: Submitted
Analyzing postprandial metabolomics data using multiway models: A simulation study
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | bioRxiv |
| Publisher | biorxiv |
| URL | https://doi.org/10.1101/2022.12.19.521154 |
| DOI | 10.1101/2022.12.19.521154 |
Modeling Variation in Mobile Download Speed in Presence of Missing Samples
IEEE Transactions on Mobile Computing (2022): 1-16.Status: Published
Modeling Variation in Mobile Download Speed in Presence of Missing Samples
| Afilliation | Communication Systems, Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | IEEE Transactions on Mobile Computing |
| Pagination | 1 - 16 |
| Publisher | IEEE |
| ISSN | 1536-1233 |
| URL | https://ieeexplore.ieee.org/document/9999262/http://xplorestaging.ieee.o... |
| DOI | 10.1109/TMC.2022.3231928 |
Unsupervised EHR-based Phenotyping via Matrix and Tensor Decompositions
arxiv (2022).Status: Submitted
Unsupervised EHR-based Phenotyping via Matrix and Tensor Decompositions
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , DeCipher |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | arxiv |
| Publisher | arxiv |
| URL | https://arxiv.org/abs/2209.00322 |
Reproducibility in Matrix and Tensor Decompositions: Focus on Model Match, Interpretability, and Uniqueness
IEEE Signal Processing Magazine 39, no. 4 (2022): 8-24.Status: Published
Reproducibility in Matrix and Tensor Decompositions: Focus on Model Match, Interpretability, and Uniqueness
| Afilliation | Machine Learning |
| Project(s) | TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion, Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | IEEE Signal Processing Magazine |
| Volume | 39 |
| Issue | 4 |
| Pagination | 8-24 |
| Date Published | 06/2022 |
| Publisher | IEEE |
| DOI | 10.1109/MSP.2022.3163870 |
Tracing Evolving Networks using Tensor Factorizations vs. ICA-based Approaches
Frontiers in Neuroscience 16 (2022).Status: Published
Tracing Evolving Networks using Tensor Factorizations vs. ICA-based Approaches
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery , TrACEr: Time-Aware ConstrainEd Multimodal Data Fusion |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | Frontiers in Neuroscience |
| Volume | 16 |
| Date Published | 04/2022 |
| Publisher | Frontiers |
| URL | https://www.frontiersin.org/article/10.3389/fnins.2022.861402 |
| DOI | 10.3389/fnins.2022.861402 |
A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems
Journal of Computational Physics 449 (2022): 110800.Status: Published
A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems
A new symmetric linearly implicit exponential integrator that preserves the polynomial first integrals or the Lyapunov functions for the conservative and dissipative stiff equations, respectively, is proposed in this work. The method is tested by both oscillated ordinary differential equations and partial differential equations, e.g., an averaged system in wind-induced oscillation, the Fermi–Pasta–Ulam systems, and the polynomial pendulum oscillators. The numerical simulations confirm the conservative properties of the proposed method and demonstrate its good behavior in superior running speed when compared with fully implicit schemes for long-time simulations.
| Afilliation | Machine Learning |
| Project(s) | Department of Data Science and Knowledge Discovery |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Journal | Journal of Computational Physics |
| Volume | 449 |
| Pagination | 110800 |
| Date Published | Jan-15-2022 |
| Publisher | Elsevier |
| ISSN | 00219991 |
| URL | https://arxiv.org/abs/2104.12118 |
| DOI | 10.1016/j.jcp.2021.110800 |