This work presents the current state-of-the-art in techniques for tracking a number of objects moving coordinated and interacting fashion. Groups are structured characterized with particular motion patterns. The group can be comprised small (e.g. pedestrians, sport players, convoy cars) or hundreds thousands components such as crowds people. object is closely linked extended but at same time has features which differentiate it from objects. Extended objects, maritime surveillance, by their...

Estimating the relative pose and motion of cooperative satellites using on-board sensors is a challenging problem. When are noncooperative, problem becomes even more complicated, as there might be poor priori information about structure target satellite. In this paper, mentioned solved by only visual sensors, which measurements processed through robust filtering algorithms. Using two cameras mounted on chaser satellite, state with respect to including position, attitude, rotational...

We present two simple methods for recovering sparse signals from a series of noisy observations. The theory compressed sensing (CS) requires solving convex constrained minimization problem. propose this optimization problem by algorithms that rely on Kalman filter (KF) endowed with pseudo-measurement (PM) equation. Compared to recently-introduced KF-CS method, which involves the implementation an auxiliary CS algorithm (e.g., Dantzig selector), our method can be straightforwardly implemented...

Abstract Modern beam shaping techniques have enabled the generation of optical fields displaying a wealth structural features, which include three-dimensional topologies such as Möbius, ribbon strips and knots. However, unlike simpler types structured light, topological properties these hitherto remained more fundamental curiosity opposed to feature that can be applied in modern technologies. Due their robustness against external perturbations, invariants physical systems are increasingly...

Viewing frames of reference as physical systems -- subject to the same laws they describe is central relational approach in physics. Under assumption that quantum mechanics universally governs all entities, this perspective naturally leads concept (QRFs). We investigate perspective-dependence position and momentum uncertainties, correlations, covariance matrices entanglement within QRF formalism. show Robertson-Schr\"odinger uncertainty relations are frame-dependent, so correlations...

A novel algorithm is presented for the estimation of spacecraft attitude quaternion from vector observations in gyro-equipped spacecraft. The new estimator a particle filter that uses approximate numerical representation techniques performing otherwise exact time propagation and measurement update potentially non-Gaussian probability density functions inherently nonlinear systems. method can be applied using various kinds observations. In this paper, case low-Earth-orbit spacecraft,...

In this paper, we introduce a novel Bayesian compressive sensing (CS) technique for phonetic classification. CS is often used to characterize signal from few support training examples, similar k-nearest neighbor (kNN) and Support Vector Machines (SVMs). However, unlike SVMs kNNs, allows the number of supports be adapted specific being characterized. On TIMIT classification task, find that our method outperforms SVM, kNN Gaussian Mixture Model (GMM) methods. Our achieves an accuracy 80.01%,...

Nonlinear non-Gaussian state-space models arise in numerous applications control and signal processing. In this context, one of the most successful popular approximation techniques is sequential Monte Carlo (SMC) methods, also known as particle filters. Nevertheless, these methods tend to be inefficient when applied high dimensional problems. paper, we present an overview Markov chain (MCMC) for simulation from posterior distributions, which represent efficient alternatives SMC methods....

Estimating the relative pose and motion of cooperative satellites using on-board sensors is a challenging problem. When are non-cooperative, problem becomes far more complicated, as there might be poor or no priori information about structure target satellite. In this work we develop robust algorithms for solving said by assuming that only visual sensory available. Using two cameras mounted on chaser satellite, state including position, attitude, rotational translational velocities...

If Nature allowed nonlocal correlations other than those predicted by quantum mechanics, would that contradict some physical principle? Various approaches have been put forward in the past two decades an attempt to single out nonlocality. However, none of them can explain set arising simplest scenarios. Here it is shown generalized uncertainty relations, as well a specific notion locality give rise both familiar and new characterizations correlations. In particular, we identify condition,...

An extension is presented to the recently introduced genetic algorithm-embedded quaternion particle filter. Belonging class ofMonte Carlo sequential methods, filter an estimator that uses approximate numerical representation techniques for performing otherwise exact time propagation and measurement update of potentially non-Gaussian probability density functions in inherently nonlinear attitude estimation problem. The spacecraft represented via rotation, a algorithm used estimate gyrobiases,...

Extending and consolidating the recently introduced quaternion particle filter for a spacecraft’s attitude estimation its companion, angular-rate particlefilter, this paper presents novel algorithm of both angular rate from vector observations. Belonging to class Monte Carlo sequential methods, new estimator is that uses approximate numerical representation techniques performing otherwise exact time propagation measurement update potentially non-Gaussian probability density functions in...

Compressed sensing is a new emerging field dealing with the reconstruction of sparse or, more precisely, compressed representation signal from relatively small number observations, typically less than dimension. In our previous work we have shown how Kalman filter can be naturally applied for obtaining an approximate Bayesian solution problem. The resulting algorithm, which was termed CSKF, relies on pseudo-measurement technique enforcing sparseness constraint. Our approach raises two...

In nature it is common for organisms, as quoted from (Kozlowski and Steams, 1989), to "produce many offspring then neglect, abort, resorb, or eat some of them, allow them each other." This phenomenon known variously soft selection, brood spontaneous abortion, a host other terms depending upon both semantics the stage ontogeny and/or development at which culling takes place. The bottom line this behavior in reduction parental resource investment who are potentially less fit than others. use...

In this paper, we address the problem of detection and tracking group individual targets. particular, focus on a model with virtual leader which models bulk or parameter. To perform sequential inference, propose Markov Chain Monte Carlo (MCMC)-based Particle algorithm marginalisation scheme using pairwise Kalman filters. Numerical simulations illustrate ability to detect track targets within groups, as well infer both correct structure number over time.

Some predictions regarding pre- and post-selected states are far-reaching, thereby requiring validation with standard quantum measurements in addition to the customary weak used so far, as well other advanced techniques. We go further pursuing this goal, proposing two thought experiments which incorporate novel yet feasible methods of unconventional light-matter interactions. An excited atom traverses a Mach–Zehnder interferometer (MZI) under special combination post-selection. In first...

The characterization of quantum correlations, being stronger than classical, yet weaker those appearing in non-signaling models, still poses many riddles. In this work, we show that the extent binary correlations a general class nonlocal theories can be characterized by existence certain covariance matrix. set realizable two-point correlators bipartite case then arises from subtle restriction on structure We also identify whose has neither nor an "almost quantum" origin, but which...

A novel algorithm is presented for the estimation of spacecraft attitude, represented by rotation quaternion, from vector observations. Belonging to class Monte Carlo sequential methods, new estimator a particle fllter that uses approximate numerical representation techniques performing otherwise exact time propagation and measurement update potentially non-Gaussian probability density functions (pdf) in inherently nonlinear systems. The paper develops its implementation case low Earth orbit...

A novel algorithm is presented for the estimation of spacecraft angular rate from vector observations. Belonging to class Monte Carlo sequential methods, new estimator a particle filter that uses approximate numerical representation techniques performing otherwise exact time propagation and measurement update potentially non-Gaussian probability density functions in inherently nonlinear systems. This paper develops its implementation case low Earth orbit spacecraft, acquiring noisy...

We present a novel framework for identifying and tracking dominant agents in groups. Our proposed approach relies on causality detection scheme that is capable of ranking with respect to their contribution shaping the system's collective behaviour based exclusively agents' observed trajectories. Further, reasoning paradigm made robust multiple emissions clutter by employing class recently introduced Markov chain Monte Carlo-based group methods. Examples are provided demonstrate strong...

In this somewhat pedagogical paper we revisit complementarity relations in bipartite quantum systems. Focusing on continuous variable systems, examine the influential class of EPR-like states through a generalization to Gaussian and present some new quantitative between entanglement local interference within symmetric asymmetric double-double-slit scenarios. This approach is then related ancilla-based measurements, weak measurements particular. Finally, tie up notions distinguishability,...

A new filtering algorithm is presented for tracking multiple clusters of coordinated targets. Based on a Markov chain Monte Carlo sampling mechanization, the maintains discrete approximation density clusters' state. The filter's efficiency enhanced by incorporating two stages into basic Metropolis-Hastings scheme: 1) Interaction. Improved moves are generated exchanging genetic material between samples from different realizations same chain, and 2) Optimization. Optimized proposals in terms...