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In this paper we address estimation and detection problems using multiple multichannel observations drawn from a matrix-variate Student distribution, also referred to as uncorrelated t distribution. In a first part we derive the Fisher ...

• We address estimation and detection problems using Student distribution multichannel observations
• We derive the Fisher information matrix.
• We derive the GLR, Rao, Wald and gradient tests.

We introduce Tadam (Trust region ADAptive Moment estimation), a new optimizer based on the trust region of the second-order approximation of the loss using the Fisher information matrix. Despite the enhanced gradient estimations offered by second-...

We study the D-optimal Data Fusion (DDF) problem, which aims to select new data points, given an existing Fisher information matrix, so as to maximize the logarithm of the determinant of the overall Fisher information matrix. We show that the DDF problem ...

Localization in wireless sensor networks (WSNs) suffer from performance issues whenever the anchor nodes (which are aware of their location) are subjected to motion from their usual position. Moreover, accurate localization demands ...

• A more realistic model is considered under synchronization offsets and sensor location errors with distance-dependent noises for TDOA localization.
• The optimal sensor placement is derived with the restriction of geographical conditions ...

This paper focuses on the problem of source tracking in the 3-D space using a time-difference-of-arrival (TDOA)-based localization system. Different from existing studies, we consider a more realistic data model that includes synchronization ...

Despite the multiple benefits of the Fisher information matrix, it is generally disregarded and substituted by the identity matrix or an approximation format. However, when dealing with complicated real-world applications, ignoring the ...

In recent years, remarkable advances in computing performance and computer-aided engineering have enabled reliability-based design optimization (RBDO) to guarantee the target reliability of a product. For successful product development through ...

Assessing the quality of parameter estimates for models describing the motion of single molecules in cellular environments is an important problem in fluorescence microscopy. In this work, we consider the fundamental data model, where molecules emit ...

Natural gradient method provides a powerful paradigm for training statistical models and offers several appealing theoretic benefits. It constructs the Fisher information matrix to correct the ordinary gradients, and thus, the cost may become ...

Smart cities and autonomous vehicles have been emerging to be predominant and key players in today's cutting-edge technology. Their emergence has been rapidly escalated with the advancements of concepts of Internet of Things (IoTs). ...

In this paper we consider mixture generalized autoregressive conditional heteroskedastic models, and propose a new iteration algorithm of type EM for the estimation of model parameters. The maximum likelihood estimates are shown to be consistent, ...

• Multiplicative algorithm optimizes designs of longitudinal studies.
• ...

Background and objectives: To optimize designs for longitudinal studies analyzed by nonlinear mixed effect models (NLMEMs), the Fisher information matrix (FIM) can be used. In this work, we focused on the multiplicative ...

As a natural intrinsic measure on the manifold of probability distributions, Rao distance has received a lot of attentions and been applied successfully to many fields. However, the closed form of Rao distance on the manifold of ...

Frequency diverse array (FDA) provides new application capabilities due to its both range and phase dependent array beampattern. In this paper, we adopt information geometry theory to study the fundamental information resolution and ...

This article uses three optimality criteria to conclude the optimal allocation of multiple accelerated life testing for the generalized half-normal model under type-I censoring. We derive the maximum likelihood estimates of the ...

Tracking of objects in cellular environments has become a vital tool in molecular cell biology. A particularly important example is single molecule tracking, which enables the study of the motion of a molecule in cellular environments by locating the ...

Energy efficiency receives significant attention in wireless sensor networks. In this paper, a UGV is employed as an energy-efficient solution to prolong the network lifetime in target tracking. Data collection strategies for target tracking are ...

We propose the Laplace method to derive approximate inference for Gaussian process (GP) regression in the location and scale parameters of the student-$$ {t}$$t probabilistic model. This allows both mean and variance of data to vary as a function of ...

Left-censored data with one or more detection limits occur frequently in many application areas. In this paper, the computational procedure for calculation of maximum likelihood estimates of the parameters for type I multiply left-censored data ...

The design of experiments for discrete mixed effect models is challenging due to the unavailability of a closed-form expression for the Fisher information matrix (FIM), on which most optimality criteria depend. Existing approaches for the computation of ...