Anderson acceleration(AA)is an extrapolation technique designed to speed up fixed-point iterations.For optimization problems,we propose a novel algorithm by combining the AA with the energy adaptive gradient method(AE...Anderson acceleration(AA)is an extrapolation technique designed to speed up fixed-point iterations.For optimization problems,we propose a novel algorithm by combining the AA with the energy adaptive gradient method(AEGD)[arXiv:2010.05109].The feasibility of our algorithm is ensured in light of the convergence theory for AEGD,though it is not a fixed-point iteration.We provide rigorous convergence rates of AA for gradient descent(GD)by an acceleration factor of the gain at each implementation of AA-GD.Our experimental results show that the proposed AA-AEGD algorithm requires little tuning of hyperparameters and exhibits superior fast convergence.展开更多
Sodium erythorbate, antioxidant and curing accelerator, used in meat products, have no vitamin functionality. Ascorbic acid （AA）, in contrast, is a powerful antioxidant, but very unstable. The application of encapsu...Sodium erythorbate, antioxidant and curing accelerator, used in meat products, have no vitamin functionality. Ascorbic acid （AA）, in contrast, is a powerful antioxidant, but very unstable. The application of encapsulated AA in frankfurters could allow the incorporation of an antioxidant with vitamin functionality and improved stability. The aim of this study was to evaluate the application ofAA microcapsules in frankfurters and the effects of their application on the product. Different analyses were conducted. The values obtained for mass loss, moisture content, water activity, pH and instrumental color were not significantly different among the treatments. The frankfurters containing the microcapsutes exhibited the lowest hardness value （approximately 5,000 g）, resulting in better scores in the sensory analysis. It was possible to apply the AA microcapsules without compromising the oxidative stability and physicochemical characteristics of the product, providing a promising method for protecting AA and producing fortified frankfurters.展开更多
基金partially supported by the National Science Foundation under(Grant DMS No.1812666)。
文摘Anderson acceleration(AA)is an extrapolation technique designed to speed up fixed-point iterations.For optimization problems,we propose a novel algorithm by combining the AA with the energy adaptive gradient method(AEGD)[arXiv:2010.05109].The feasibility of our algorithm is ensured in light of the convergence theory for AEGD,though it is not a fixed-point iteration.We provide rigorous convergence rates of AA for gradient descent(GD)by an acceleration factor of the gain at each implementation of AA-GD.Our experimental results show that the proposed AA-AEGD algorithm requires little tuning of hyperparameters and exhibits superior fast convergence.
文摘Sodium erythorbate, antioxidant and curing accelerator, used in meat products, have no vitamin functionality. Ascorbic acid （AA）, in contrast, is a powerful antioxidant, but very unstable. The application of encapsulated AA in frankfurters could allow the incorporation of an antioxidant with vitamin functionality and improved stability. The aim of this study was to evaluate the application ofAA microcapsules in frankfurters and the effects of their application on the product. Different analyses were conducted. The values obtained for mass loss, moisture content, water activity, pH and instrumental color were not significantly different among the treatments. The frankfurters containing the microcapsutes exhibited the lowest hardness value （approximately 5,000 g）, resulting in better scores in the sensory analysis. It was possible to apply the AA microcapsules without compromising the oxidative stability and physicochemical characteristics of the product, providing a promising method for protecting AA and producing fortified frankfurters.
