Linear algebra is central to many algorithms in engineering, science, and machine learning; hence, accelerating it would have tremendous economic impact. Quantum computing has been proposed for this purpose, al
A common problem in solving such systems is improper initial starting values for iterative methods, leading to the convergence to solutions with no physical meaning, or convergence that requires global method . Although symbolic methods such as Groebner bases or resultants have been shown to be very...
The expression Xφ stands for next, meaning that φ should hold in the suffix of the trace starting from the next event. Finally, the binary operator U stands for until; the expression φ1Uφ2 means that φ1 has to hold at least until φ2 becomes true, and that φ2 must hold at ...
A good plot to use is a residual plot versus the predictor (X) variable. Here you want to look for equal scatter, meaning the points all vary roughly the same above and below the dotted line across all x values. The plot on the left looks great, whereas the plot on the right shows...
Thus, loosely speaking, we translate ⊗ as meaning “both”. Now consider the &:left inference; here the lower sequent has the principal formula A&B in place of either A or Β, depending on which form of the inference is used. This means that a resource A&B is equivalent to having...
be reduced fromO(mn2+n3log2nlog logn) toO(mn+n3) [16]. Li and Li proposed anO(mnα(n)) time algorithm using disjoint-set data structures [11]. Liu et al. further lowered the complexity of Xiao's algorithm to linear timeO(mn) [12]. Chan et al. also proposed a linear-time algo...
Model orderis one or more integers that define the complexity of the model. In general, model order is related to the number of poles, the number of zeros, and the response delay (time in terms of the number of samples before the output responds to the input). The specific meaning of ...
LDA is a generative model, meaning it estimates how data is distributed for each class. Using Bayes' theorem, it calculates the probability that a new data point belongs to each class and assigns it accordingly.2 With the help of Bayes, LDA calculates condition probabilities for a dataset—the...
Furthermore, the negativity bound is determined by the maximum possible s, called classicality of the input Gaussian state28, which has a clear physical meaning: the more classicality in the input state, the lower negativity bound. Our main technical contribution is to provide a way of ...
The polynomial filter formulation of Eqn (7.15) shows one interesting feature of this model: The model is linear in the parameters, meaning that the parameter estimation process can be reduced to the linear form of XΘ=Y⇔ (7.16)[x(M−1)⋯x(0)x(M−1)x(M−1)⋯x(0)x(0)...