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We use a variational approach to find the best constants for certain Gagliardo-Nirenberg inequalities on the real line. To show the existence of a minimizer, we use the method of concentration-compactness.

We apply the statistical sparse jump model, a recently devel-oped, interpretable and robust regime switching model, to infer key featuresthat drive the return dynamics of the largest cryptocurrencies. The algorithmjointly performs feature selection, parameter estimation, and state classifica-tion. Our large set of candidate features are partly based on cryptocurrency,sentiment and financial market We apply the statistical sparse jump model, a recently devel-oped, interpretable and robust regime switching model, to infer key featuresthat drive the return dynamics of the largest cryptocurrencies. The algorithmjointly performs feature selection, parameter estimation, and state classifica-tion. Our large set of candidate features are partly based on cryptocurrency,sentiment and financial marke

Multi-component transient signals show up in many different areas, most commonly in communication and radar but are also often found in measurements of human related signals, such as electrical responses of the heart and the brain. Transient signals are also typical in animal acoustic applications, e.g., dolphin echo locations and bird song syllables. The usual basis functions in linear modeling oMulti-component transient signals show up in many different areas, most commonly in communication and radar but are also often found in measurements of human related signals, such as electrical responses of the heart and the brain. Transient signals are also typical in animal acoustic applications, e.g., dolphin echo locations and bird song syllables. The usual basis functions in linear modeling o

In this work, we extend recent results on the Cramé r-Rao lower bound for multidimensional non-uniformly sampled Nuclear Magnetic Resonance (NMR) signals. The used signal model is more general than earlier models, allowing for the typically present variance differences between the direct and the dif- ferent indirect sampling dimensions. The presented bound is verified with earlier presented 1-and

Cells in vivo are subjected continuously to multiple biochemical and biophysical stimuli from their microenvironment that regulate cell fate and function. Although two-dimensional (2D) platforms to check cell responses to various microenvironmental factors have been established, these methods lack physiological relevance. Macroscale three-dimensional (3D) cell culture platforms were developed to p

This paper examines the potential benefits of applying next best view planning to sequential 3D reconstruction from unordered image sequences. A standard sequential structure-and-motion pipeline is extended with active selection of the order in which cameras are resectioned. To this end, approximate covariance propagation is implemented throughout the system, providing running estimates of the unc

Constitutional monarchy offers Iran a politically stable and culturally resonant alternative to partisan republicanism. Grounded in both empirical research and philosophical tradition, it combines symbolic authority with institutional continuity, enabling national unity without authoritarianism. Monarchs function as neutral anchors above political conflict, often at lower public cost and with grea

Smoking and hazardous drinking are common and important risk factors for an increased rate of complications after surgery. The underlying pathophysiological mechanisms include organic dysfunctions that can recover with abstinence. Abstinence starting 3-8 weeks before surgery will significantly reduce the incidence of several serious postoperative complications, such as wound and cardiopulmonary co

This master thesis was commissioned by Det Norske Veritas (DNV) and was conducted at the department of Energy Sciences at the Faculty of Engineering, Lund University. The purpose of the thesis was to develop a structured and uniform methodology for Best Available Techniques (BAT) assessments of oil-­‐ and gas installations. BAT is defined in the EU directive on Integrated Pollution Prevention and

Pairwise comparison of sound and radio signals can be used to estimate the distance between two units that send and receive signals. In a similar way it is possible to estimate differences of distances by correlating two received signals. There are essentially two groups of such methods, namely methods that are robust to noise and reverberation, but give limited precision and sub-sample refinement

A well defined set of design criteria is of great importance in the process of designing brain machine interfaces (BMI) based on extracellular recordings with chronically implanted micro-electrode arrays in the central nervous system (CNS). In order to compare algorithms and evaluate their performance under various circumstances, ground truth about their input needs to be present. Obtaining ground

We herein formulate the concept of a generalized lock-in amplifier for the precision measurement of high frequency signals based on digital cavities. Accurate measurement of signals higher than 200 MHz using the generalized lock-in is demonstrated. The technique is compared with a traditional lock-in and its advantages and limitations are discussed. We also briefly point out how the generalized lo

In this work, we introduce a computationally efficient Kalman-filter based implementation of the robust widely linear (WL) minimum variance distortionless response (MVDR) beamformer. The beamformer is able to achieve the same performance as the recently derived robust WL MVDR beamformer, but avoids the computationally burdensome solution based on a second order cone programming (SOCP), and exploit

Time-frequency (TF) postprocessing methods are often used to form concentrated TF representations (TFRs) for nonstationary signals. Regrettably, most such techniques are sensitive to noise and tend to underestimate weak components when dealing with transient signals, resulting in sidelobes and low-resolution TFRs. In this work, we introduce a generalized group delay (GD) weighted sparse TF (GWSTF)

Financial markets exhibit time-varying volatility and cross-asset correlation. To construct and optimize a risk-adjusted portfolio and account for underlying collinearity between se- curities, a good understanding of these two dynamics is important. In this study global equity indices are modeled with the purpose of improving the forecasting accuracy of time-varying correlations, as well as distin

We give a procedure to find good convolutional codes for use with iterative decoding (turbo equalization) of the coded AWGN intersymbol interference (ISI) channel. The method is based on the input-output bit error rate characteristic of the convolutional BCJR module in the iterative decoder, in combination with the code minimum distance. Both are essential to find best codes. Best feedforward and