Abstract: This paper proposes uni-orthogonal and bi-orthogonal nonnegative matrix factorization algorithms with robust convergence proofs. We design the algorithms based on the work of Lee and Seung [1], and derive the converged versions by utilizing ideas from the work of Lin [2]. The experimental results confirm the theoretical guarantees of the convergences.

bubble column reactors are used in a wide variety of applications such as multiphase bioreactors, catalytic slurry reactors, and absorption processes. the superficial gas velocity-gas holdup relationship and transition point are two important parameters for characterizing the hydrodynamics of a bubble column reactor. in this study, systematic investigation of a nitrogen - water - glass beads bu...

A method of data collection is presented that unites the efficiency of mass testing with the ease of instant electronic data collection that is typical of computer-based experiments run on individual participants. A wireless response system (WRS), originally designed as a teaching tool, is used to replicate three classic and robust effects from the memory literature (effects of false memory, le...

Technology-based interventions to promote health are expanding rapidly. Assessing the preliminary efficacy of these interventions can be achieved by employing single-case experiments (sometimes referred to as n-of-1 studies). Although single-case experiments are often misunderstood, they offer excellent solutions to address the challenges associated with testing new technology-based interventio...

the main objective of the present study is to investigate the feasibility of using carboxymethyl chitosan magnetic nanoparticles (ccmn) for the adsorption of cd2+. the study also reports important parameters, which affect the adsorption process, i.e., ph, adsorbent dose, contact time and concentration of cd2+, using box-behnken designs. firstly, functional carboxymethyl chitosan magnetic nanopa...

perlite or pearl stone is a natural glass which has formed by rapid cooling of viscous lava or magma. perlite is mainly composed of silica, aluminum, potassium and sodium. in this experiment, perlite was used as a low-cost source of si and al to synthesis of sodalite zeolite using the alkaline hydrothermal treatment. a statistical taguchi design of experiments was employed to evaluate the effec...

background a potential treatment for healing hepatic tissue is delivering isolated hepatic cells to the site of injury to promote hepatic cells formation. in this technology, providing an appropriate injectable system for delivery of hepatic cells is an important issue. in this regard, fibrin scaffolds were designed with many advantages over other scaffolds like cell delivery vehicles for biode...