In this paper we introduce and study fused lasso nearly-isotonic signal approximation, which is a combination of fused lasso and generalized nearly-isotonic regression. We show how these three estimators relate to each other, derive solution to the general problem, show that it is computationally feasible and provides a trade-off between piecewise monotonicity, sparsity and goodness-of-fit. Also, we derive an unbiased estimator of the degrees of freedom of the approximator.

翻译：在本文中,我们介绍并研究引信的拉索近同位素信号近似,这是结合了引信的拉索和普遍化的近同位素回归。我们展示了这三个测算器之间的关系,找出了解决一般问题的办法,表明它在计算上是可行的,并提供了分片单一度、宽度和适中性之间的权衡。此外,我们还得出了对接近者自由程度的公正估计。