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1,460 claims from 908 papers are on the record. 46 have been checked so far; the other 1,414 have no check with a result yet.

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Keyword: kernel regression ×Clear all

4 claims from 2 papers

1. Neuroscience › Functional Brain Connectivity Studies

   Global Signal Regression Strengthens Association between Resting-State Functional Connectivity and Behavior

   Li, Kong, Liégeois et al. · NeuroImage · 2019

   The study tested whether global signal regression, a debated fMRI clean-up step, strengthens links between resting-state brain connectivity and behaviour, finding that it did for most measures in young healthy adults.

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   1. Unchecked“By applying the variance component model to the Brain Genomics Superstruct Project (GSP), we found that behavioral variance explained by whole-brain RSFC increased by an average of 47% across 23 behavioral measures after GSR.”
   2. UncheckedGlobal signal regression raised behavioural prediction accuracy from brain connectivity by an average of 64% in the GSP data and 12% in the HCP data.“GSR improved behavioral prediction accuracies by an average of 64% and 12% in the GSP and HCP datasets respectively.”

2. Computer Science › Neural Networks and Applications

   Spectral bias and task-model alignment explain generalization in kernel regression and infinitely wide neural networks

   Canatar, Bordelon and Pehlevan · Nature Communications · 2021

   The paper derives a statistical-mechanics formula for generalisation error in kernel regression, which also covers infinitely wide neural networks, and uses it to explain which tasks suit a given kernel.

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   1. Unchecked“We elucidate an inductive bias of kernel regression to explain data with "simple functions", which are identified by solving a kernel eigenfunction problem on the data distribution.”
   2. UncheckedIn kernel regression, adding more data may worsen generalisation when data are noisy or not expressible by the kernel, giving learning curves with several peaks.“We show that more data may impair generalization when noisy or not expressible by the kernel, leading to non-monotonic learning curves with possibly many peaks.”