2 citations · 3 across the 6 of their papers we have counts for
6 papers
Structured Systems of Nonlinear Equations
Sana Jahedi, Timothy Sauer, James A. Yorke
In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a f…
Homologous Control of Protein Signaling Networks
Domenico Napoletani, Michele Signore, Timothy Sauer +2
In a previous paper we introduced a method called augmented sparse reconstruction (ASR) that identifies links among nodes of ordinary differential equation networks, given a small…
Augmented Sparse Reconstruction of Protein Signaling Networks
D. Napoletani, T. Sauer, D. C. Struppa +2
The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology today. We sought to develop a mathematic…
Delay-Coordinates Embeddings as a Data Mining Tool for Denoising Speech Signals
D. Napoletani, C. A. Berenstein, T. Sauer +2
In this paper we utilize techniques from the theory of non-linear dynamical systems to define a notion of embedding threshold estimators. More specifically we use delay-coordinates…
Noise-enhanced reconstruction of attractors
R. Castro, T. Sauer
In principle, the state space of a chaotic attractor can be partially or wholly reconstructed from interspike intervals recorded from experiment. Under certain conditions, the qual…
Prevalence: a translation-invariant ``almost every'' on infinite-dimensional spaces
Brian R. Hunt
We present a measure-theoretic condition for a property to hold ``almost everywhere'' on an infinite-dimensional vector space, with particular emphasis on function spaces such as $…