Bayesian optimization has proven invaluable for black-box optimization of expensive functions. Its main limitation is its exponential complexity with respect to the dimensionality of the search space using typical kernels. Luckily, many objective functions can be decomposed into additive sub-problems, which can be optimized independently. We investigate how to automatically discover such (typic...

Assume that binary rank-dependent expected utility (subjective expected utility is a special case) holds for gains and losses separately and that a commutative binary operation of joint receipt on consequences and gambles is linked to binary gambles via the rational property of segregation. This implies that utility U of joint receipt is either itself additive or is an exponential transformatio...

In recent years, sub-band speech recognition has been found useful in robust speech recognition, especially for speech signals contaminated by band-limited noise. In sub-band speech recognition, full band speech is divided into several frequency sub-bands and then sub-band feature vectors or their generated likelihoods by corresponding sub-band recognizers are combined to give the result of rec...

continuous set of non-singular 3-D affine transforms, which are the most general linear transformations available, and where by continuity we imply sub-pixel accuracy; our dissimilarity measure is Euclidean, which is maximum-likelihood assuming additive white Gaussian noise; finally, our search strategy is multi-scale, for fast convergence, and iterative, based on a variation of the MarquardtLe...

A flexible representation of uncertainty that remains within the standard framework of probabilistic measure theory is presented along with a study of its properties. This representation relies on a specific type of outer measure that is based on the measure of a supremum, hence combining additive and highly sub-additive components. It is shown that this type of outer measure enables the introd...

Although Cox proportional hazards regression is the default analysis for time to event data, there is typically uncertainty about whether the effects of a predictor are more appropriately characterized by a multiplicative or additive model. To accommodate this uncertainty, we place a model selection prior on the coefficients in an additive-multiplicative hazards model. This prior assigns positi...

In this paper we first defined the partial-union sequence, the partial-intersection sequence, and the partial-difference-union sequence of given sequence of subsets, and then proved the additive theorem of infinite sequences and sub-additive theorem of finite sequences for probability. Further, we defined the monotone class of families of subsets, and discussed the relations between the monoton...

In this paper we present a coarse-tone approach for the transformation of digital anatomical textbooks from the ideal to the individual that uni es the work on landmark deformations and volume based transformation. The Hierarchical approach is linked to the Biological problem itself, coming out of the various kinds of information which is provided by the anatomists. This information is in the f...

Understanding the phase transition mechanisms of active materials inside Li-ion batteries is critical for rechargeability and optimizing power/energy density devices. In this work, high-energy microfocused X-ray diffraction used to measure in operando state-of-charge heterogeneities a high-voltage spinel (LiMn1.5Ni0.5O4, LMNO) cathode. The structure an material which resists complete delithiati...

Formic acid is the sole carbon and hydrogen source in additive-free catalytic methylation of amines.