Algorithmic differentiation improves the computational efficiency of OpenSim-based trajectory optimization of human movement.

Algorithmic differentiation (AD) is an alternative to finite differences (FD) for evaluating function derivatives. The primary aim of this study was to demonstrate the computational benefits of using AD instead of FD in OpenSim-based trajectory optimization of human movement. The secondary aim was to evaluate computational choices including different AD tools, different linear solvers, and the use of first- or second-order derivatives. First, we enabled the use of AD in OpenSim through a custom source code transformation tool and through the operator overloading tool ADOL-C. Second, we developed an interface between OpenSim and CasADi to solve trajectory optimization problems. Third, we evaluated computational choices through simulations of perturbed balance, two-dimensional predictive simulations of walking, and three-dimensional tracking simulations of walking. We performed all simulations using direct collocation and implicit differential equations. Using AD through our custom tool was between 1.8 ± 0.1 and 17.8 ± 4.9 times faster than using FD, and between 3.6 ± 0.3 and 12.3 ± 1.3 times faster than using AD through ADOL-C. The linear solver efficiency was problem-dependent and no solver was consistently more efficient. Using second-order derivatives was more efficient for balance simulations but less efficient for walking simulations. The walking simulations were physiologically realistic. These results highlight how the use of AD drastically decreases computational time of trajectory optimization problems as compared to more common FD. Overall, combining AD with direct collocation and implicit differential equations decreases the computational burden of trajectory optimization of human movement, which will facilitate their use for biomechanical applications requiring the use of detailed models of the musculoskeletal system.

Rapid predictive simulations with complex musculoskeletal models suggest that diverse healthy and pathological human gaits can emerge from similar control strategies.

Physics-based predictive simulations of human movement have the potential to support personalized medicine, but large computational costs and difficulties to model control strategies have limited their use. We have developed a computationally efficient optimal control framework to predict human gaits based on optimization of a performance criterion without relying on experimental data. The framework generates three-dimensional muscle-driven simulations in 36 min on average-more than 20 times faster than existing simulations-by using direct collocation, implicit differential equations and algorithmic differentiation. Using this framework, we identified a multi-objective performance criterion combining energy and effort considerations that produces physiologically realistic walking gaits. The same criterion also predicted the walk-to-run transition and clinical gait deficiencies caused by muscle weakness and prosthesis use, suggesting that diverse healthy and pathological gaits can emerge from the same control strategy. The ability to predict the mechanics and energetics of a broad range of gaits with complex three-dimensional musculoskeletal models will allow testing novel hypotheses about gait control and hasten the development of optimal treatments for neuro-musculoskeletal disorders.

The Effect of Word Frequency on Phonemic Accuracy in Children With Cochlear Implants and Peers With Typical Levels of Hearing.

The frequency of occurrence of words and sounds has a pervasive influence on typically developing children's language acquisition. For instance, highly frequent words appear earliest in a child's lexicon, and highly frequent phonemes are produced more accurately. This study evaluates (a) whether word frequency influences word accuracy and (b) whether this is also the case for children with a history of auditory deprivation. More specifically, the influence of word frequency on phonemic accuracy is examined in deaf children with a cochlear implant (CI), and compared to age-matched children with typical hearing, between word onset and age 7. Results show that highly frequent words are produced more accurately, except for words in the highest frequency regions (i.e., predominantly closed-class words). This effect is more pronounced in children with typical hearing when compared with children with CI. Thus, children with CI are sensitive to word frequency, but to a lesser extent than peers with typical hearing.

Phonemic accuracy development in children with cochlear implants up to five years of age by using Levenshtein distance.

UNLABELLED: Phonemic accuracy of children with cochlear implants (CI) is often reported to be lower in comparison with normally hearing (NH) age-matched children. In this study, we compare phonemic accuracy development in the spontaneous speech of Dutch-speaking children with CI and NH age-matched peers. A dynamic cost model of Levenshtein distance is used to compute the accuracy of each word token. We set up a longitudinal design with monthly data for comparisons up to age two and a cross-sectional design with yearly data between three and five years of age. The main finding is that phonemic accuracy steadily increases throughout the period studied. Children with CI's accuracy is lower than that of their NH age mates, but this difference is not statistically significant in the earliest stages of lexical development. But accuracy of children with CI initially improves significantly less steeply than that of NH peers. Furthermore, the number of syllables in the target word and target word's complexity influence children's accuracy, as longer and more complex target words are less accurately produced. Up to age four, children with CI are significantly less accurate than NH children with increasing word length and word complexity. This difference has disappeared at age five. Finally, hearing age is shown to influence accuracy development of children with CI, while age of implant activation is not. LEARNING OUTCOMES: This article informs the reader about phonemic accuracy development in children. The reader will be able to (a) discuss different metrics to measure phonemic accuracy development, (b) discuss phonemic accuracy of children with CI up to five years of age and compare them with NH children, (c) discuss the influence of target word's complexity and target word's syllable length on phonemic accuracy, (d) discuss the influence of hearing experience and age of implantation on phonemic accuracy of children with CI.

Syntagmatic and paradigmatic development of cochlear implanted children in comparison with normally hearing peers up to age 7.

OBJECTIVE: Grammatical development is shown to be delayed in CI children. However, the literature has focussed mainly on one aspect of grammatical development, either morphology or syntax, and on standard tests instead of spontaneous speech. The aim of the present study was to compare grammatical development in the spontaneous speech of Dutch-speaking children with cochlear implants and normally hearing peers. Both syntagmatic and paradigmatic development will be assessed and compared with each other. METHOD: Nine children with cochlear implants were followed yearly between ages 2 and 7. There was a cross-sectional control group of 10 normally hearing peers at each age. Syntactic development is measured by means of Mean Length of Utterance (MLU), morphological development by means of Mean Size of Paradigm (MSP). This last measure is relatively new in child language research. RESULTS: MLU and MSP of children with cochlear implants lag behind that of their normally hearing peers up to age 4 and up to age 6 respectively. By age 5, CI children catch up on MSP and by age 7 they caught up on MLU. CONCLUSION: Children with cochlear implants catch up with their normally hearing peers for both measures of syntax and morphology. However, it is shown that inflection is earlier age-appropriate than sentence length in CI children. Possible explanations for this difference in developmental pace are discussed.

The relation between order of acquisition, segmental frequency and function: the case of word-initial consonants in Dutch.

The impact of input frequency (IF) and functional load (FL) of segments in the ambient language on the acquisition order of word-initial consonants is investigated. Several definitions of IF/FL are compared and implemented. The impact of IF/FL and their components are computed using a longitudinal corpus of interactions between thirty Dutch-speaking children (age range: 0 ; 6-2 ; 0) and their primary caretaker(s). The corpus study reveals significant correlations between IF/FL and acquisition order. The highest predictive values are found for the token frequency of segments, and for FL computed on minimally different word types in child-directed speech. Although IF and FL significantly correlate, they do have a different impact on the order of acquisition of word-initial consonants. When the impact of IF is partialed out, FL still has a significant correlation with acquisition order. The reverse is not true, suggesting that the acquisition of word-initial consonants is mainly influenced by their discriminating function.