Preprints (not yet peer-reviewed)

131 downloads
245 views

We present a linear time-varying Luenberger observer (LTVLO) using compartmental models to estimate the unmeasurable states in patients with type 1 diabetes. The LTVLO proposed is based on the linearization in an operation point of the virtual patient (VP), where...

["Algorithms and Analysis of Algorithms","Scientific Computing and Simulation","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.3341v1
38 downloads
248 views

The growth function is the generating function for sizes of spheres around the identity in Cayley graphs of groups. We present a novel method to calculate growth functions for automatic groups with normal form recognizing automata that recognize a single normal...

["Theory and Formal Methods"]
doi:10.7287/peerj.preprints.3256v1
142 downloads
609 views

An immune system inspired Artificial Immune System (AIS) algorithm is presented, and is used for the purposes of automated program verification. Relevant immunological concepts are discussed and the field of AIS is briefly reviewed. It is proposed to use this AIS...

["Computational Biology","Adaptive and Self-Organizing Systems","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.2690v3
126 downloads
309 views

I show that any elementary cellular automata -- a class of 1-dimensional, 2-state cellular automata originally formulated by Stephen Wolfram -- can be deconstructed into a set of two Boolean operators; I also present a conjecture concerning the relationship between...

["Theory and Formal Methods"]
doi:10.7287/peerj.preprints.2553v1
911 downloads
591 views

Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself. Recently, the theory of a Discrete Hankel Transform was proposed that...

["Algorithms and Analysis of Algorithms","Scientific Computing and Simulation","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.2216v1
94 downloads
214 views

Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality. However, there are several applications in which the triangle inequality does not hold but in which we...

["Scientific Computing and Simulation","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.2055v1
149 downloads
332 views

We present a geometric model of image formation in Scheimpflug cameras that is most general. Scheimpflug imaging is commonly used is scientific and medical imaging either to increase the depth of field of the imager or to focus on tilted object surfaces. Existing...

["Computer Vision","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1887v1
166 downloads
519 views

Formal argument suggests that command, communication and control systems can remain stable in the sense of the Data Rate Theorem that mandates the minimum rate of control information required to stabilize inherently unstable 'plants', but may nonetheless, under...

["Autonomous Systems","Real-Time and Embedded Systems","Robotics","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1714v1
53 downloads
229 views

Identifying patterns and associations in data is fundamental to discovery in science. This work investigates a very simple instance of the problem, where each data point consists of a vector of binary attributes, and attributes are treated equally. For example,...

["Data Mining and Machine Learning","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1713v1
198 downloads
855 views

Background. P and NP are two classes (sets) of languages in Computer Science. An open problem is whether P = NP. This paper tests a new idea to compare the two language sets and attempts to prove that these two language sets consist of same languages by elementary...

["Algorithms and Analysis of Algorithms","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1455v1
192 downloads
816 views

Agent-based modeling (ABM) is a bottom-up modeling approach, where each entity of the system being modeled is uniquely represented as an independent decision-making agent. ABMs are very sensitive to implementation details. Thus, it is very easy to inadvertently...

["Agents and Multi-Agent Systems","Scientific Computing and Simulation","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1440v1
321 downloads
913 views

Agent-based modeling (ABM) is a bottom-up modeling approach, where each entity of the system being modeled is uniquely represented as an independent decision-making agent. ABMs are very sensitive to implementation details. Thus, it is very easy to inadvertently...

["Agents and Multi-Agent Systems","Scientific Computing and Simulation","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1278v1
222 downloads
575 views

In modern molecular systematics, matrices of unordered multistate characters, such as DNA sequence alignments, are used for analysis with no further re-coding procedures nor any a priori determination of character polarity. Here we present 1001, a simple freely...

["Bioinformatics","Computational Biology","Theory and Formal Methods"]
doi:10.7287/peerj.preprints.1153v1
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