Rank-1 Tensor Approximation Methods and Application to Deflation

Because of the attractiveness of the canonical polyadic (CP) tensor decomposition in various applications, several algorithms have been designed to compute it, but efficient ones are still lacking. Iterative deflation algorithms based on successive rank-1 approximations can be used to perform this task, since the latter are rather easy to compute. We first present an algebraic rank-1 approximation method that performs better than the standard higher-order singular value decomposition (HOSVD) for three-way tensors. Second, we propose a new iterative rank-1 approximation algorithm that improves any other rank-1 approximation method. Third, we describe a probabilistic framework allowing to study the convergence of deflation CP decomposition (DCPD) algorithms based on successive rank-1 approximations. A set of computer experiments then validates theoretical results and demonstrates the efficiency of DCPD algorithms compared to other ones

Reduced protein for late-lactation dairy cows

Excess protein in dairy cattle diets unnecessarily increases the cost of production and may contribute to environmental pollution. The objective of this research was to evaluate the effect of feeding dairy cows with two levels of dietary protein on animal performance and manure characteristics. Two experiments were carried out with 24 lactating dairy cows each. Experiment 1 was corn silage based and had a control TMR (HP1) estimated to contain 16.5% CP with SBM and treatment TMR (LP1; 13.5% CP) using DDGS and rumen protected Lys and Met. Experiment 2 was ryegrass haylage based and had a control TMR (HP2) with 15.5% CP with Met and a treatment TMR (LP2) with 13.5% CP with Lys and Met. Experiments were analyzed as a crossover design using the MIXED procedure of SAS with pen as the experimental unit. Experiment 1 had no significant difference between treatments in DMI (21.0 for HP1 and 20.4 kg/cow/d for LP1; P=0.46) and milk yield (20.7 for HP1 and 20.5 kg/cow/d for LP1; P=0.91). Percentage of milk components averaged 4.21, 3.72, 4.54, and 9.15, respectively for fat, protein, lactose, and solids non-fat (P\u3e0.60). Milk urea nitrogen (MUN) decreased (P\u3c0.01) from 17.2 with HP1 to 9.93 mg/dL with LP1. Manure pH was significantly higher for HP1 than LP1 (7.87 and 7.53 respectively, P\u3c0.05). Experiment 2 had no significant difference in cow performance (DMI: 21.4 for HP2 and 20.9 kg/cow/d for LP2; P=0.51; milk yield: 26.4 for HP and 24.4 kg/cow/d for LP2; P=0.19; percentage of milk components averaged 3.48, 3.29 and 4.71, respectively for fat, protein and lactose; P\u3e0.30; MUN decreased (P\u3c0.01) from 9.85 with HP2 to 6.40 mg/dL with LP2). Manure pH was significantly higher for HP2 than LP2 (7.50 for HP and 7.13 for LP, P=0.05). There was no difference in volatilized N between HP2 and LP2. This experiment suggests that performance of late-lactation dairy cows can be maintained with low-protein DDG based diets supplemented with Lys and Met

ENERGY AND PROTEIN EFFICIENCY OF LACTATING DAIRY COWS FED GROUND PEAS, CANOLA MEAL AND RUMEN-PROTECTED AMINO ACIDS

Forages as conserved silage or grass cannot supply enough nutrients and energy as required by lactating dairy cows. As a result, supplementation with grains is needed to provide animals with enough nutrients to be healthy and produce milk being profitable (NRC, 2001). High producing cows need protein supplementation from sources other than forages in order to maximize milk protein production, with emphasis on replenishing requirements for specific amino acids. Excessive protein in the diet or deficiency of an essential amino acid can reduce productivity and increase excretion of N to the environment, causing pollution. Research must be conducted to help dairy farmers make informed decisions about the use of alternative protein supplements as a way to improve farm profitability, optimize protein and energy utilization and increase knowledge about environmental pollution. Therefore, strategies to reduce feed costs through sourcing lower-cost, yet high nutritional value feed ingredients, may optimize milk production enhancing the economic and social sustainability of dairy farming in the Northeast U.S. Therefore, the 2 research areas identified as the main focuses of this dissertation were: 1) development of a proof of concept technique to determine dry matter intake (DMI) for animals on pasture, and 2) improvement of economic and nutrient use efficiencies when feeding ground field peas (GFP), an alternative feedstuff, in order to decrease costs of dairy rations. In the first step, a proof of concept technique was developed to estimate energy requirements and DMI of lactating Holstein cows in a tie stall. The objective of this technique was to create a methodology to use spot short-term measurements of CH4 (QCH4) and CO2 (QCO2) integrated with backward dietary energy partition calculations to estimate DMI. Twelve multiparous cows averaging 173 ± 37 days in milk and 4 primiparous cows averaging 179 ± 27 days in milk were blocked by days in milk, parity, and DMI (as a percentage of body weight) and, within each block, randomly assigned to 1 of 2 treatments: ad libitum intake (AL) or restricted intake (RI = 90% DMI) according to a crossover design. Each experimental period lasted 22 d with 14 d for treatments adaptation and 8 d for data and sample collection. Diets contained (DM basis): 40% corn silage, 12% grass-legume haylage, and 48% concentrate. Spot short-term gas measurements were taken in 5-min sampling periods from 15 cows (1 cow refused sampling) using a portable automated open circuit gas quantification system (GreenFeed, C-Lock Inc., Rapid City, SD) with intervals of 12 h between the 2 daily samples. Sampling points were advanced 2 h from a day to the next to yield 16 gas samples/cow over 8 d to account for diurnal variation in QCH4 and QCO2. The following equations were used sequentially to estimate DMI: 1) Heat production (HP) (MJ/d) = (4.96 + 16.07 ÷ respiratory quotient) × QCO2; respiratory quotient = 0.95; 2) Metabolizable energy intake (MJ/d) = (heat production + milk-energy) ± tissue energy balance; 3) Digestible energy (DE) intake (MJ/d) = metabolizable energy + CH4-energy + urinary-energy; 4) Gross energy (GE) intake (MJ/d) = DE + [(DE ÷ in vitro true dry matter digestibility) – DE]; and 5) DMI (kg/d) = GE intake estimated ÷ diet GE concentration. Data were analyzed using the MIXED procedure of SAS and Fit Model procedure in JMP (α = 0.05). Cows significantly differed in measured DMI (23.8 vs. 22.4 kg/d for AL and RI, respectively; P \u3c 0.01). Dry matter intake estimated using QCH4 and QCO2 coupled with dietary backward energy partition calculations (equations 1 to 5 above) was highest in cows fed for AL (22.5 vs. 20.2 kg/d). The resulting R2 were 0.28 between measured DMI and estimated by gaseous measurements and 0.36 between measured and DMI predicted by the NRC (2001). Results showed that spot short-term measurements of QCH4 and QCO2 coupled with dietary backward estimations of energy partitions underestimated DMI by 7.8%. However, the approach proposed herein was able to significantly discriminate differences in DMI between cows fed for AL or RI. The second focus of this dissertation was aimed to decrease feed costs while improving nutrient efficiency in dairy cows. Ground field peas are an adequate source of energy and protein compared to corn meal and soybean meal (SBM) that could be used as an alternative feedstuff in order to decrease feeding costs. Field peas are available for feed in the northern regions of the United States and Canada. Previous studies showed that diets with more than 25% GFP, DM basis) resulted in reduced milk and milk protein yield in dairy cows. Decreased yields may be caused by limited supplies of MP-Lys and MP-Met due to extensive degradation of GFP RDP in the rumen and we hypothesize that cows fed with GFP supplemented with RP Lys and RP Met will maintain performance when compared to a diet with corn meal and soybean meal supplemented with RP Lys and Met. The objective of this study was to compare a source of non-protein N (i.e. urea) vs. a source of soluble true protein (i.e. GFP) and evaluate diets with 25% of GFP supplemented with rumen-protected (RP) Lys (AjiPro-L, Ajinomoto, Japan) and Met (Smartamine-M, Adisseo, France) as a substitute for corn meal and SBM on animal performance and energy balance. Twelve multiparous and 4 primiparous lactating Holstein cows were blocked by days in milk, milk yield and parity, and randomly assigned to 1 of 4 diets in a replicated 4 × 4 Latin square design. Diets were 35.5% corn silage, 15.5% grass-legume haylage, 5.9% roasted soybean, and: (1) 36% corn meal and 1.3% urea (3.59:1 MP-Lys:MP-Met ratio; negative control (U), (2) 29.7% corn meal, 9.8% SBM, and RP-Lys RP-Met (3.07:1 MP-Lys:MP-Met ratio (CSAA), (3) 25% GFP, 12.3% corn meal, and 2.4% SBM (3.88:1 MP-Lys:MP-Met ratio; FP), and (4) 25% GFP, 12.2% corn meal, 2.4% SBM, and RP-Lys RP-Met (3.13:1 MP-Lys:MP-Met ratio; FPAA). Data were analyzed using the MIXED procedure of SAS with orthogonal contrasts for pairwise comparisons between treatments (α = 0.05). Dietary treatments had 15.4%, 15.1%, 14.9% and 15.0% CP, respectively for U, CSAA, FP and FPAA. As expected, cows fed U had decreased DMI (23.3 kg vs. 24.6 kg/d, P \u3c 0.01), milk protein yield (1.15 kg vs. 1.21 kg/d, P \u3c 0.001), total concentration of ruminal VFA (103 mM vs. 112 mM, P \u3c 0.001), HP (129 MJ/d vs. 141 MJ/d, P \u3c 0.001), NDF digestibility (30.2% vs. 46.0%, P \u3c 0.01), ADF digestibility (37.6% 50.4%, P \u3c 0.02), total purines derivatives (343 mmol/d vs 414 mmol/d, P \u3c 0.01), and highest excretion of MUN (9.85 mg/dL vs. 9.09 mg/dL, P \u3c 0.01) when compared to cows fed FP. Cows fed FP had decreased plasma concentration of Met (19.6 mM). Feeding cows CSAA and FPAA mitigated these negative responses. Cows fed FPAA had positive tissue energy balance, higher HP and consequently higher metabolizable energy intake when compared to CSAA diet. In addition, increased milk yield was correlated to a decrease in HP (R2 = 0.329, n = 16 observations). Results showed that feeding FPAA increased HP and milk protein yield to levels compared to cows fed CSAA. Results suggest that feeding diets with 25% GFP and RP-Lys and RP-Met will improve animal performance and energy efficiency. When cows were fed FPAA, a decrease in plasma His concentration was found compared to CSAA. Cows fed FPAA could, then, be limiting in His, which could have caused a decrease in milk protein production. Results from the literature show that feeding RP-Met can cause a decrease in the plasma concentration of EAA for reasons that still need to be studied. Canola meal is a good alternative to SBM that has potential to mitigate the effect on AA concentration in plasma. Previous studies reported increased plasma concentrations of most EAA when feeding CAM, mostly due to an increase in DMI, but research feeding GFP and CAM with RP Met have never been performed. The hypothesis of this study was that cows fed GFP with CAM and RP Met would have higher milk protein percentage and yield when compared to cows fed 25% GFP, SBM and RP Met due to an increase in DMI and consequent increase in plasma AA concentration. The objectives of this study were to compare lactating production responses of cows fed diets with (DM basis) 35.0% Corn silage, 14.0% grass-legume silage, 25% GFP, 1.5% citrus pulp, and corn meal, flaked corn and dry distillers grains in variable amounts with 1) SBM (11%) as the major source of supplemental protein, (FPSB diet), 2) CAM (13.5%) as the major source of supplemental protein (FPCM diet). For each experimental diet, RP Met was top dressed to half of the cows (27 g/d) to result in a total of 4 treatments: 1) FPSB diet with no RP Met supplemented, 2) FPSB diet with supplementation of RP Met, 3) FPCM diet with no RP Met supplemented and 4) FPCM diet with supplementation of RP Met. Twelve multiparous and 4 primiparous lactating Holstein cows were blocked by DIM, milk yield and parity, and randomly assigned to 1 of 4 diets in a replicated 4 × 4 Latin square design. Data were analyzed using the MIXED procedure of SAS and pairwise tests for protein source and supplementation or not of RP Met was performed (α = 0.05). Cows fed FPCM had higher DMI and milk yield when compared to cows fed FPSB. No effect on DMI and milk yield was observed for supplementation of RP Met. Cows produced milk with higher concentration of protein when supplemented with RP Met, but RP Met had no effect on milk protein yield. On the other hand, cows fed FPCM had higher yield of milk protein when compared to cows fed FPSB. No difference was found for milk fat and lactose concentrations between diets and addition of RP Met. Milk true N efficiency (Milk true N ÷ N intake) was higher and MUN was lower for cows fed FPCM compared to cows fed FPSB, showing that overall N efficiency of cows fed FPCM was better. Results show that CAM will increase N efficiency and increase milk and milk protein yield when fed to diets with 25% GFP, as a result of higher DMI

The performance of approximate equation of motion coupled cluster for valence and core states of heavy element systems

The equation of motion coupled cluster singles and doubles model (EOM-CCSD) is an accurate, black-box correlated electronic structure approach to investigate electronically excited states and electron attachment or detachment processes. It has also served as a basis for developing less computationally expensive approximate models such as partitioned EOM-CCSD (P-EOM-CCSD), the second-order many-body perturbation theory EOM (EOM-MBPT(2)), and their combination (P-EOM-MBPT(2)) [S. Gwaltney et al., Chem. Phys. Lett. 248, 189-198 (1996)]. In this work we outline an implementation of these approximations for four-component based Hamiltonians and investigate their accuracy relative to EOM-CCSD for valence excitations, valence and core ionizations and electron attachment, and this for a number of systems of atmospheric or astrophysical interest containing elements across the periodic table. We have found that across the different systems and electronic states of different nature considered, partition EOM-CCSD yields results with the largest deviations from the reference, whereas second-order based approaches tend show a generally better agreement with EOM-CCSD. We trace this behavior to the imbalance brought about by the removal of excited state relaxation in the partition approaches, with respect to degree of electron correlation recovered.Comment: 5 figures, 4 table

Psychological Capital Profiles and Their Relationship With Internal Learning in Teams of Undergraduate Students

This study aims to analyze the relationship between psychological capital profiles and internal learning in teams. The participants in this study were 480 undergraduate students. We performed a cluster analysis using the SPSS and yielded four distinct psychological capital profiles. The student profile with the highest scores in self-efficacy, optimism, hope, and resilience (Profile 2-Fully PsyCap) exhibited also the highest scores of internal learning in teams. On the other hand, the student profile with the lowest scores in self-efficacy, optimism, hope, and resilience (Profile 1- Empty PsyCap) presented the lowest scores of internal learning in teams. It is also noteworthy that there was no significant relationship between the profile with a positive combination between self-efficacy and hope (profile 4) and the profile that presents the optimism as the only positive psychological capability (profile 3), in the way they relate to internal learning in teams, which led us to reject the second hypothesis of the study. This study reinforces the role of psychological capital in academic settings and suggests that psychological capital profiles can affect internal learning in teams differentially