Bill McCormick (1942-2011)
نویسندگان
چکیده
منابع مشابه
Art - McCormick (D)
Activity-induced transient increases in intracellular Ca2+ concentration ([Ca]i) trigger neuronal responses ranging from modulation of synaptic transmission to alterations in gene expression with time courses of seconds to days1–3. These changes occur through Ca2+-stimulated messenger cascades that can induce prolonged recruitment of proteins by, for example, autophosphorylation4, persistent bi...
متن کاملMcCormick-Based Relaxations of Algorithms
Theory and implementation for the global optimization of a wide class of algorithms is presented via convex/affine relaxations. The basis for the proposed relaxations is the systematic construction of subgradients for the convex relaxations of factorable functions by McCormick [Math. Prog., 10 (1976), pp. 147–175]. Similar to the convex relaxation, the subgradient propagation relies on the recu...
متن کاملQuantifying Double McCormick
When using the standard McCormick inequalities twice to convexify trilinear monomials, as is often the practice in modeling and software, there is a choice of which variables to group first. For the important case in which the domain is a nonnegative box, we calculate the volume of the resulting relaxation, as a function of the bounds defining the box. In this manner, we precisely quantify the ...
متن کاملDifferentiable McCormick relaxations
McCormick’s classical relaxation technique constructs closed-form convex and concave relaxations of compositions of simple intrinsic functions. These relaxations have several properties which make them useful for lower bounding problems in global optimization: they can be evaluated automatically, accurately, and computationally inexpensively, and they converge rapidly to the relaxed function as...
متن کاملMultivariate McCormick relaxations
McCormick (Math Prog 10(1):147–175, 1976) provides the framework for convex/concave relaxations of factorable functions, via rules for the product of functions and compositions of the form F◦ f , where F is a univariate function. Herein, the composition theorem is generalized to allowmultivariate outer functions F , and theory for the propagation of subgradients is presented. The generalization...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Canadian Journal of Neurological Sciences / Journal Canadien des Sciences Neurologiques
سال: 2012
ISSN: 0317-1671,2057-0155
DOI: 10.1017/s0317167100012816