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Data assimilation transfers information from an observed system to a physically based model system with state variables x(t). The observations are typically noisy, the model has errors, and the initial state x(t0) is uncertain: the data assimilation is statistical. One can ask about expected values of functions 〈G(X)〉 on the path X={x(t0), . . .,x(tm)} of… (More)

- Neil F Fernandes, Paul J Rozdeba, Robert A Schwartz, George Kihiczak, W Clark Lambert
- International journal of dermatology
- 2010

Pityriasis lichenoides et varioliformis acuta (PLEVA), or Mucha-Habermann disease (MHD), is a cutaneous disorder evident with crops of erythematous macules and papules, usually on the trunk and flexural areas of the extremities. Its etiology remains unknown. PLEVA is speculated to be an inflammatory reaction triggered by certain infectious agents, an… (More)

- Neil F Fernandes, Rajit Malliah, Todd P Stitik, P Rozdeba, W Clark Lambert, Robert A Schwartz
- Acta dermatovenerologica Alpina, Pannonica, et…
- 2009

Localized herpes zoster following intra-articular corticosteroid injection is remarkable. We describe an 80-year-old woman with severe osteoarthritis that received an intra-articular injection of 80 mg methylprednisolone in her knee, followed 1 day later by the appearance of linear unilateral vesicles and bullae on her leg in a dermatomal distribution… (More)

- Jingxin Ye, Daniel Rey, +5 authors John C Quinn
- Physical review. E, Statistical, nonlinear, and…
- 2015

In statistical data assimilation one evaluates the conditional expected values, conditioned on measurements, of interesting quantities on the path of a model through observation and prediction windows. This often requires working with very high dimensional integrals in the discrete time descriptions of the observations and model dynamics, which become… (More)

- Jingxin Ye, Paul J Rozdeba, Uriel I Morone, Arij Daou, Henry D I Abarbanel
- Physical review. E, Statistical, nonlinear, and…
- 2014

We investigate the dynamics of a conductance-based neuron model coupled to a model of intracellular calcium uptake and release by the endoplasmic reticulum. The intracellular calcium dynamics occur on a time scale that is orders of magnitude slower than voltage spiking behavior. Coupling these mechanisms sets the stage for the appearance of chaotic… (More)

- Paul Rozdeba
- 2013

It has been posited that biological neural networks, such as a brain, may naturally exist in critical states. We propose two mechanisms for signal transduction in two such networks as encoding strategies which are optimized by criticality. First, we examine compressive sensing in a 2-dimensional Ising model at or near its critical temperature. Secondly, we… (More)

- Henry D. I. Abarbanel, Paul Rozdeba, Sasha Shirman
- ArXiv
- 2017

We formulate a strong equivalence between machine learning, artificial intelligence methods and the formulation of statistical data assimilation as used widely in physical and biological sciences. The correspondence is that layer number in the artificial network setting is the analog of time in the data assimilation setting. Within the discussion of this… (More)

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