We present a method to decompose a set of multivariate real polynomials into linear combinations of univariate polynomials in linear forms of the input variables. The method proceeds by collecting the first-order information of the polynomials in a set of operating points, which is captured by the Jacobian matrix evaluated at the operating points. The polyadic canonical decomposition of the thr...

A general information criterion with a general penalty which depends on the size of samples is developed for nested and non-nested models in the context of inequality constraints. The true parameters may be defined by a specified parametric model, or a set of specified estimating functions. When the true parameters are defined by estimating functions, we use the empirical likelihood approach to...

The problem of ranking a set of visual samples according to their relevance to a query plays an important role in computer vision. The traditional approach for ranking is to train a binary classifier such as a support vector machine (svm). Binary classifiers suffer from two main deficiencies: (i) they do not optimize a ranking-based loss function, for example, the average precision (ap) loss; a...

80290 Munich GeIIDany A neural network learning paradigm based on information theory is proposed as a way to perform in an unsupervised fashion, redundancy reduction among the elements of the output layer without loss of information from the sensory input. The model developed performs nonlinear decorrelation up to higher orders of the cumulant tensors and results in probabilistic ally independe...

While some information modeling approaches (e.g. the Relational Model, and Object-Role Modeling) are typically formalized using first-order logic, other approaches to information modeling include support for higher-order types. There appear to be three main reasons for requiring higher-order types: (1) to permit instances of categorization types to be types themselves (e.g. the Unified Modeling...

Protecting confidential information from improper disclosure is a fundamental security goal, made more challenging due to the practical difficulty of preventing all leakage of secret information. For instance, a login program that rejects an incorrect password unavoidably reveals that the secret password differs from the one that was entered. One promising way to address information leakage is ...

In this paper, we investigate the information release and pricing strategies for a seller who can take customer pre-orders before the release of a product. The pre-order option enables the seller to sell a product at an early date when consumers’ valuations are relatively homogeneous. We find that the optimal pricing strategy is discontinuous with respect to the amount of information available ...

In variational data assimilation (VDA) for meteorological and/or oceanic models, the assimilated fields are deduced by combining the model and the gradient of a cost functional measuring discrepancy between model solution and observation, via a first-order optimality system. However, existence and uniqueness of the VDA problem along with convergence of the algorithms for its implementation depe...

This paper has two parts. In the first part, we give an overview of higher order databases, the research framework and vision of the database group at ETH Zurich. Higher order databases will be or at least will contribute to the infrastructure for distributed information systems engineering of the future. While a traditional database administers data, a higher order database administers compone...

Courts (Maryland and Hawai'i) temporarily prevent the Government from enforcing the “travel ban” imposed by Executive Order 13780 [11]. The Government appealed both the Maryland and Hawai'i orders. On May 25, 2017, the Fourth Circuit Court of Appeals upheld [12] the Maryland District Court's preliminary injunction, meaning that the Executive Order travel ban will continue to be blocked for now....