Parsimonious Identification of Continuous-Time Systems: A Block-Coordinate Descent Approach Article Swipe
Rodrigo A. González
,
Cristian R. Rojas
,
Siqi Pan
,
James S. Welsh
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2304.03259
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2304.03259
The identification of electrical, mechanical, and biological systems using data can benefit greatly from prior knowledge extracted from physical modeling. Parametric continuous-time identification methods can naturally incorporate this knowledge, which leads to interpretable and parsimonious models. However, some applications lead to model structures that lack parsimonious descriptions using unfactored transfer functions, which are commonly used in standard direct approaches for continuous-time system identification. In this paper we characterize this parsimony problem, and develop a block-coordinate descent algorithm that delivers parsimonious models by sequentially estimating an additive decomposition of the transfer function of interest. Numerical simulations show the efficacy of the proposed approach.
Related Topics
Concepts
Coordinate descent
Identification (biology)
Block (permutation group theory)
Computer science
Transfer function
System identification
Parametric statistics
Algorithm
Function (biology)
Parametric model
Coordinate system
Descent (aeronautics)
Machine learning
Data mining
Artificial intelligence
Mathematics
Engineering
Statistics
Aerospace engineering
Biology
Electrical engineering
Botany
Geometry
Evolutionary biology
Measure (data warehouse)
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2304.03259
- https://arxiv.org/pdf/2304.03259
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4362707056
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4362707056Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2304.03259Digital Object Identifier
- Title
-
Parsimonious Identification of Continuous-Time Systems: A Block-Coordinate Descent ApproachWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-04-06Full publication date if available
- Authors
-
Rodrigo A. González, Cristian R. Rojas, Siqi Pan, James S. WelshList of authors in order
- Landing page
-
https://arxiv.org/abs/2304.03259Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2304.03259Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2304.03259Direct OA link when available
- Concepts
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Coordinate descent, Identification (biology), Block (permutation group theory), Computer science, Transfer function, System identification, Parametric statistics, Algorithm, Function (biology), Parametric model, Coordinate system, Descent (aeronautics), Machine learning, Data mining, Artificial intelligence, Mathematics, Engineering, Statistics, Aerospace engineering, Biology, Electrical engineering, Botany, Geometry, Evolutionary biology, Measure (data warehouse)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1Per-year citation counts (last 5 years)
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.which | 29, 51 |
| abstract_inverted_index.direct | 57 |
| abstract_inverted_index.models | 80 |
| abstract_inverted_index.system | 61 |
| abstract_inverted_index.benefit | 11 |
| abstract_inverted_index.descent | 75 |
| abstract_inverted_index.develop | 72 |
| abstract_inverted_index.greatly | 12 |
| abstract_inverted_index.methods | 23 |
| abstract_inverted_index.models. | 35 |
| abstract_inverted_index.systems | 7 |
| abstract_inverted_index.However, | 36 |
| abstract_inverted_index.additive | 85 |
| abstract_inverted_index.commonly | 53 |
| abstract_inverted_index.delivers | 78 |
| abstract_inverted_index.efficacy | 97 |
| abstract_inverted_index.function | 90 |
| abstract_inverted_index.physical | 18 |
| abstract_inverted_index.problem, | 70 |
| abstract_inverted_index.proposed | 100 |
| abstract_inverted_index.standard | 56 |
| abstract_inverted_index.transfer | 49, 89 |
| abstract_inverted_index.Numerical | 93 |
| abstract_inverted_index.algorithm | 76 |
| abstract_inverted_index.approach. | 101 |
| abstract_inverted_index.extracted | 16 |
| abstract_inverted_index.interest. | 92 |
| abstract_inverted_index.knowledge | 15 |
| abstract_inverted_index.modeling. | 19 |
| abstract_inverted_index.naturally | 25 |
| abstract_inverted_index.parsimony | 69 |
| abstract_inverted_index.Parametric | 20 |
| abstract_inverted_index.approaches | 58 |
| abstract_inverted_index.biological | 6 |
| abstract_inverted_index.estimating | 83 |
| abstract_inverted_index.functions, | 50 |
| abstract_inverted_index.knowledge, | 28 |
| abstract_inverted_index.structures | 42 |
| abstract_inverted_index.unfactored | 48 |
| abstract_inverted_index.electrical, | 3 |
| abstract_inverted_index.incorporate | 26 |
| abstract_inverted_index.mechanical, | 4 |
| abstract_inverted_index.simulations | 94 |
| abstract_inverted_index.applications | 38 |
| abstract_inverted_index.characterize | 67 |
| abstract_inverted_index.descriptions | 46 |
| abstract_inverted_index.parsimonious | 34, 45, 79 |
| abstract_inverted_index.sequentially | 82 |
| abstract_inverted_index.decomposition | 86 |
| abstract_inverted_index.interpretable | 32 |
| abstract_inverted_index.identification | 1, 22 |
| abstract_inverted_index.continuous-time | 21, 60 |
| abstract_inverted_index.identification. | 62 |
| abstract_inverted_index.block-coordinate | 74 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile |