A genetic algorithm aiming for finding the global minimum and multiple deep local minima of a function exhibiting a complex landscape is studied.
The last term that is represented in terms of a cosine function exhibits interference between the two components.
The skeleton of this profile is defined by a quadratic equation, and its thickness function exhibits a NACA profile with a maximum relative thickness of five percent.
In Huntington's disease, Huntingtin (Htt), a protein with yet unattributed function, exhibits a tendency to aggregate within cells if mutated [ 6].
However, for alternative parameterization of skew normal distribution these difficulties are resolved, and the likelihood function exhibits a more regular behaviour without a stationary point when the asymmetry parameter is equal to zero [ 33].
The associated risk function exhibits a special property, known as displacement convexity, and recent breakthroughs in optimal transport theory guarantee exponential convergence for this limit dynamics.
For instance, it has been shown that the loss function exhibits a robust behavior for heavy-tailed noise (e.g., Cauchy noise, Laplacian noise) [6, 11, 21].
For (q>1), the distribution function exhibits a thermal cutoff on the maximum value allowed for the velocity of the ions, given by begin{aligned} v_mathrm{max}=sqrt{frac{2T_i}{m_i q-1)}}, end{aligned}beyond which no probable states exist.
The P r) function exhibits a single maximum (r = 37 Å), which is indicative of a particle having a single lobe.
When the response function exhibits a positive (vs. negative) slope, it is interpreted as an increase (vs. a decrease) of the variable response with the increase of the input parameter.
Using this algorithm, we found that for ChIP-seq data the GDP function exhibits a fairly accurate approximation of K-W function throughout the entire range of BEs (Additional file 5), We used the properties for fitting K-W function based on the extrapolated data estimated from the best-fit truncated GDP function values.
