In general the aim is to minimize the structure weight subject to the constraints. But often it is necessary to get only a feasible design. The highlights of the program system are: simultaneous optimization, a wide range of mathematical programming algorithms, a modular architecture within ...
∗ Improbability is an indicator of complexity. Beyond probability, complexity encompasses semantics, structure, and functionality. ”Kolmogorov complexity is defined to be shortest computer program length required to reproduce a specified bit-string description of an object.”10 ∗ As the authors the...
Deep Learning (DL) is a subfield of machine learning concerned with algorithms inspired by the brain's structure and artificial function. This layer that is embedded deep within a schematic of the Artificial Intelligence (AI) layer is depicted in Fig. 8.1, which is the brain of the AI with...
In computer science, there exist a large number of optimization problems defined on graphs, that is to find a best node state configuration or a network structure, such that the designed objective function is optimized under some constraints. However, these problems are notorious for their hardness...
Here, rather than present an axiomatic derivation, we simply summarize the resulting mathematical structure. Each system type X can be associated with a real vector space VX, such that a state of the system is a vector in VX. In this work, it is assumed throughout that for each type of...
Several research efforts can be found in the literature, starting with the seminal work of Caspar and Klug14, dedicated to rationalising the structure of individual icosahedral shells, especially in the field of virus biology15,16,36,37. Icosahedral shells are made of one layer of particles, wh...
While the local optimization will yield a new local minimum Yi+1≠ Yi, the BH will degenerate to a multistart method in this case. Different studies have shown that the perturbation needs to preserve some of the structure of the current minimum for BH to be more effective than the ...
Despite the common structure of the problem, the existing projection optimization schemes in VAM each constructed a different set of features to address different aspects of the problem. There lacks a consistent framework to bridge between these schemes and allow users to systematically understand, anal...
Exploring the variety of mathematical, statistical, and data science techniques that can be applied to gain insight into the systems and structure of the mathematical sciences community. Event listing ID: 1655314 Related subject(s): General Mathematical Research and Multidisciplinary Events, Scientific...
Board (PCB) is also attached to the copper structure and a wire bonding process was used to provide electrical connections between the die and the PCB. A fiber array with a pitch distance of 127 µm was fixed to the on-chip edge coupler array of the die by active alignment and ...