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Methods for the supervised classification of signals generally aim to assign a signal to one class for its entire time span. In this paper we present an alternative formulation for multivariate signals where the class membership is permitted to change over time. Our aim therefore changes from classifying the signal as a whole to classifying the signal at each time point to one of a fixed number of known classes. We assume that each class is characterised by a different stationary generating process, the signal as a whole will however be nonstationary due to class switching. To capture this nonstationarity we use the recently proposed Multivariate Locally Stationary Wavelet model. To account for uncertainty in class membership at each time point our goal is not to assign a definite class membership but rather to calculate the probability of a signal belonging to a particular class. Under this framework we prove some asymptotic consistency results. This method is also shown to perform well when applied to both simulated and accelerometer data. In both cases our method is able to place a high probability on the correct class for the majority of time points.

A series of novel carbazole-containing amides and ureas were synthesized. A structure-activity relationship study of these compounds led to the identification of potent cryptochrome modulators. Based on the desired pharmacokinetic/pharmacodynamic parameters and the results of efficacy studies in db/db mice, compound 50 was selected for further profiling.

Highlights • Primary breast leiomyosarcoma is a rare disease with unclear diagnosis, management and prognosis. • We present a case of primary breast leiomyosarcoma metastases to the lung in a young adult female. • We provide a complete list and discussion of 68 documented cases of primary breast leiomyosarcoma. • Treatment of breast leiomyosarcoma should include surveillance for lung metastases., Introduction Primary leiomyosarcomas of the breast are extremely rare. Because of this rarity, only a small number of studies have been published about the disease; diagnosis, treatment, and prognosis are not well-described. Our work has been reported in line with the SCARE criteria. Presentation of case We present a 20-year-old female with primary breast leiomyosarcoma who despite mastectomy, developed lung metastases three years later. Discussion We discuss the rarity of breast leiomyosarcoma and risk of metastatic disease even with treatment. We review the literature and provide an outline of available data to shed light on the best strategies to manage this aggressive disease. Conclusion Physicians and surgeons treating breast leiomyosarcoma must be vigilant of potential lung metastases in order to optimize short- and long-term oncologic outcomes.

A series of novel carbazole-containing sulfonamides and sulfamides were synthesized. A structure-activity relationship study of these compounds led to the identification of potent cryptochrome modulators. Based on the results of efficacy studies in diet-induced obese (DIO) mice, and the desired pharmacokinetic parameters, compound 41 was selected for further profiling.