Consider (3) y i = sign ∑ j = 1 s v α j y j d j, d i + b sign (y i ) = relevant if y i ≥ 0, unrelevant if y i < 0. For nonlinear cases (ϕ is not trivial), input samples are mapped to a feature space, dimensionally higher than original one, where a linear separation may be feasible (see Figure 2).
Spatial aggregation of radar cells is made based on the sub-catchment partitioning obtained from the Self-Organizing Map (SOM), and then flood forecasting is made by the Adaptive Neuro Fuzzy Inference System (ANFIS) models coupled with a 2-staged Gamma Test (2-GT) procedure that identifies the optimal non-trivial rainfall inputs.
Obtaining medical care requires non-trivial time input on the part of consumers, particular those over the age of 65.
Oracles are well defined for trivial domains, when inputs and outputs of the program are, e.g., numbers or texts, but for more complex domains, some challenges exist.
In this respect, the trivial spikes are input driven events that occur with high probability and independently from the intrinsic biophysical properties of the neuron.
This is not a trivial task, though: sensory input is often noisy, and more often than not open to several interpretations.
For the Gaussian input case, the expression is somewhat trivial but for the binary input case, the capacity is shown to be lim m → ∞ C = min t ∈ [ 0, 1 ] λ 2 ( 1 + t ) - 1 2 β λ σ 2 - ∫ e - z 2 2 2 π l n ( 2 c o s h ( λ z + λ ) ) d z, (41).
For better or worse, these $400 speaker docks lack any other feature besides the arguably trivial feature of a 3.5mm input on the backside.
In comparison, a naive approach of phasing the input genotypes provides trivial upper bounds of twice the number of genotypes.
Constraints for BioPAX semantics : These constraints implement non-trivial reasoning, such as identifying inputs and outputs of a Conversion, linking entities through recursive homology relationships also taking complex memberships into account or detecting syntactically invalid structures like an input to a Conversion also being a controller.
