Self-adjusting, or adaptive, systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these parameters is governed by a low-pass filtered feedback from the dynamical variables of the system. We apply this model to the logistic map and examine the behavior o...

─We describe the calibration of a computer model of intracranial pressure (ICP) dynamics to correspond with annotated clinical data taken from a patient being treated for elevated ICP due to a traumatic brain injury. The research protocol employed during treatment includes adjusting the elevation of the head of the bed, adjusting the ventilator settings to induce mild hyperventilation and hypov...

Genetically identical cells can show phenotypic variability. This is often caused by stochastic events that originate from randomness in biochemical processes involving in gene expression and other extrinsic cellular processes. From an engineering perspective, there have been efforts focused on theory and experiments to control noise levels by perturbing and replacing gene network components. H...

We investigate a conjecture of Paul Erdős, the last unsolved problem among those proposed in his landmark paper [2]. The conjecture states that there exists an absolute constant C > 0 such that, if v1, . . . , vn are unit vectors in a Hilbert space, then at least C 2 n of all ∈ {−1, 1} are such that | Pn i=1 ivi |≤ 1. We disprove the conjecture. For Hilbert spaces of dimension d > 2, the counte...

StyleGAN2 was demonstrated to be a powerful image generation engine that supports semantic editing. However, in order manipulate real-world image, one first needs able retrieve its corresponding latent representation StyleGAN’s space is decoded an as close possible the desired image. For many images, does not exist, which necessitates tuning of generator network. We present per-image optimizati...

In this paper the approach of using a partially observable Markov model for games with dynamical difficulty adjustment is introduced. This approach leads implicitly to a strategy which balances gathering information about the player through his or her behavior with adjusting the game to the estimated player’s abilities and preferences. We will show how this approach can be used in a stroke reha...