RECORD
FuSSO: Functional Shrinkage and Selection Operator
Machine Learning · Submitted 10 Nov 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Furthermore, we observe good results on both synthetic and real-world data.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We present the FuSSO, a functional analogue to the LASSO, that efficiently finds a sparse set of functional input covariates to regress a real-valued response against. The FuSSO does so in a semi-parametric fashion, making no parametric assumptions about the nature of input functional covariates and assuming a linear form to the mapping of functional covariates to the response. We provide a statistical backing for use of the FuSSO via proof of asymptotic sparsistency under various conditions. Furthermore, we observe good results on both synthetic and real-world data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present the FuSSO, a functional analogue to the LASSO, that efficiently finds a sparse set of functional input covariates to regress a real-valued response against. | contribution 0.99 | 0.93 | 0.40 | asserted 1.00 |
| s1 | The FuSSO does so in a semi-parametric fashion, making no parametric assumptions about the nature of input functional covariates and assuming a linear form to the mapping of functional covariates to the response. | method 0.98 | 0.59 | 0.09 | asserted 1.00 |
| s2 | We provide a statistical backing for use of the FuSSO via proof of asymptotic sparsistency under various conditions. | contribution 0.85 | 0.96 | 0.19 | asserted 1.00 |
| s3 | Furthermore, we observe good results on both synthetic and real-world data. | result 1.00 | 0.95 | 0.24 | asserted 0.96 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We present the FuSSO, a functional analogue to the LASSO, that efficiently finds a sparse set of functional input covariates to regress a real-valued response against. The FuSSO does so in a semi-parametric fashion, making no parametric assumptions about the nature of input functional covariates and assuming a linear form to the mapping of functional covariates to the response. We provide a statistical backing for use of the FuSSO via proof of asymptotic sparsistency under various conditions. Furthermore, we observe good results on both synthetic and real-world data.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.