Multi-layer architecture for adaptive fuzzy inference system with a large number of input features

The Sugeno adaptive fuzzy neural network using training data is a good approximation to model different systems. The large number of adaptive neuro-fuzzy inference system (ANFIS) input features is a major challenge in using ANFIS and is not applicable with increased parameters. We present a solution for many input features solving modular problems; we created a multi-layer architecture of SUB-ANFIS (MLA-ANFIS) for this purpose. Different topologies were created with various combinations of multiple input features, and an error indicator was calculated for each combination of topologies. Finally, the best topology was chosen among the states with the highest possible performance. We implemented a multi-layered approach based on 365-day concrete compressive strength data with eight input features and the optimized MLA-ANFIS topology (5-3-1) for this purpose from different ANFIS topologies and neural networks. Finally, the results from five other datasets prove the impact of the proposed MLA-ANFIS approach compared to the neural network method.     

Children's mappings of large number words to numerosities

Previous studies have suggested that children's learning of the relation between number words and approximate numerosities depends on their verbal counting ability, and that children exhibit no knowledge of mappings between number words and approximate numerical magnitudes for number words outside their productive verbal counting range. In the present study we used a numerical estimation task to explore children's knowledge of these mappings. We classified children as Level 1 counters (those unable to produce a verbal count list up to 35), Level 2 counters (those who were able to count to 35 but not 60) and Level 3 counters (those who counted to 60 or above) and asked children to estimate the number of items on a card. Although the accuracy of children's estimates depended on counting ability, children at all counting skill levels produced estimates that increased linearly in proportion to the target number, for numerosities both within and beyond their counting range. This result was obtained at the group level (Experiment 1) and at the level of individual children (Experiment 2). These findings provide evidence that even the least skilled counters do exhibit some knowledge of the form of the mapping between large number words and approximate numerosities.     

The construction of large number representations in adults

What is the nature of our mental representation of quantity? We find that human adults show no performance cost of comparing numerosities across vs. within visual and auditory stimulus sets, or across vs. within simultaneous and sequential sets. In addition, reaction time and performance in such tasks are determined by the ratio of the numerosities to be compared; absolute set size has no effect. These findings suggest that modality-specific stimulus properties undergo a non-iterative transformation into representations of quantity that are independent of the modality or format of the stimulus.     

Toddler subtraction with large sets: further evidence for an analog-magnitude representation of number

Two experiments were conducted to test the hypothesis that toddlers have access to an analog-magnitude number representation that supports numerical reasoning about relatively large numbers. Three-year-olds were presented with subtraction problems in which initial set size and proportions subtracted were systematically varied. Two sets of cookies were presented and then covered. The experimenter visibly subtracted cookies from the hidden sets, and the children were asked to choose which of the resulting sets had more. In Experiment 1, performance was above chance when high proportions of objects (3 versus 6) were subtracted from large sets (of 9) and for the subset of older participants (older than 3 years, 5 months; n = 15), performance was also above chance when high proportions (10 versus 20) were subtracted from the very large sets (of 30). In Experiment 2, which was conducted exclusively with older 3-year-olds and incorporated an important methodological control, the pattern of results for the subtraction tasks was replicated. In both experiments, success on the tasks was not related to counting ability. The results of these experiments support the hypothesis that young children have access to an analog-magnitude system for representing large approximate quantities, as performance on these subtraction tasks showed a Weber's Law signature, and was independent of conventional number knowledge.     

Clinical features of tic-related obsessive-compulsive disorder: results from a large multicenter study

OBJECTIVE: To evaluate the clinical features of obsessive-compulsive disorder (OCD) patients with comorbid tic disorders (TD) in a large, multicenter, clinical sample.MethodA cross-sectional study was conducted that included 813 consecutive OCD outpatients from the Brazilian OCD Research Consortium and used several instruments of assessment, including the Yale-Brown Obsessive-Compulsive Scale, the Dimensional Yale-Brown Obsessive-Compulsive Scale, the Yale Global Tic Severity Scale (YGTSS), the USP Sensory Phenomena Scale, and the Structured Clinical Interview for DSM-IV Axis I Disorders. RESULTS: The sample mean current age was 34.9 years old (SE 0.54), and the mean age at obsessive-compulsive symptoms (OCS) onset was 12.8 years old (SE 0.27). Sensory phenomena were reported by 585 individuals (72% of the sample). The general lifetime prevalence of TD was 29.0% (n = 236), with 8.9% (n = 72) presenting Tourette syndrome, 17.3% (n = 141) chronic motor tic disorder, and 2.8% (n = 23) chronic vocal tic disorder. The mean tic severity score, according to the YGTSS, was 27.2 (SE 1.4) in the OCD + TD group. Compared to OCD patients without comorbid TD, those with TD (OCD + TD group, n = 236) were more likely to be males (49.2% vs. 38.5%, p < .005) and to present sensory phenomena and comorbidity with anxiety disorders in general: separation anxiety disorder, social phobia, specific phobia, generalized anxiety disorder, post-traumatic stress disorder, attention-deficit hyperactivity disorder, impulse control disorders in general, and skin picking. Also, the "aggressive," "sexual/religious," and "hoarding" symptom dimensions were more severe in the OCD + TD group.ConclusionTic-related OCD may constitute a particular subgroup of the disorder with specific phenotypical characteristics, but its neurobiological underpinnings remain to be fully disentangled.     

Use of a statistical significance criterion in drawing inferences about hemispheric dominance for language function from dichotic listening data

A dichotic listening test (composed of VCV nonsense syllables) was administered to 31 right-handed subjects. A χ² statistical significance criterion was then applied to the resulting ear differences in subjects. Fifteen subjects had ear differences significant at the p < .10 levels. Of these, 14 had right-ear advantages, an incidence consistent with the incidence of left-hemisphere language dominance derived from neurological data. Incidence for the total group of 31 subjects, however, showed the overabundance of left-ear-superior protocols typical of studies that report ear-dominance scores with no statistical criterion.     

Use of treatment analysis following ambiguous functional analysis results

The present study used a treatment analysis following ambiguous functional analysis results to evaluate potential treatments to reduce the SIB of a 32‐year‐old male with profound mental retardation. In addition, effective treatments were determined for increasing compliance with increasingly more complex self‐care tasks. The results indicated that a positive reinforcement procedure with extinction was useful toward reducing SIB and increasing compliance during three increasingly more complex tasks. The usefulness of treatment analysis procedures following ambiguous functional analysis results are discussed. Copyright © 2009 John Wiley & Sons, Ltd.     

Use of number by crows: investigation by matching and oddity learning

Hooded crows were trained in two-alternative simultaneous matching and oddity tasks with stimulus sets of three different categories: color (black and white), shape (Arabic Numerals 1 and 2, which were used as visual shapes only), and number of elements (arrays of one and two items). These three sets were used for training successively and repeatedly; the stimulus set was changed to the next one after the criterion (80% correct or better over 30 consecutive trials) was reached with the previous one. Training was continued until the criterion could be reached within the first 30 to 50 trials for each of the three training sets. During partial transfer tests, familiar stimuli (numerals and arrays in the range from 1 to 2) were paired with novel ones (numerals and arrays in the range from 3 to 4). At the final stage of testing only novel stimuli were presented (numerals and arrays in the range from 5 to 8). Four of 6 birds were able to transfer in these tests, and their performance was significantly above chance. Moreover, performance of the birds on the array stimuli did not differ from their performance on the color or shape stimuli. They were capable of recognizing the number of elements in arrays and comparing the stimuli by this attribute. It was concluded that crows were able to apply the matching (or oddity) concept to stimuli of numerical category.     

Using addition to solve large subtractions in the number domain up to 20

This study examined 25 university students’ use of addition to solve large single-digit subtractions by contrasting performance in the standard subtraction format (12 − 9 = .) and in the addition format (9 + . = 12). In particular, we investigated the effect of the relative size of the subtrahend on performance in both formats. We found a significant interaction between format, the magnitude of the subtrahend (S) compared to the difference (D) (S > D vs. S < D), and the numerical distance between subtrahend and difference. When the subtrahend was larger than the difference and S and D were far from each other (e.g., 12 − 9 = .), problems were solved faster in the addition than in the subtraction format; when the subtrahend was smaller than the difference and S and D were far from each other (e.g., 12 − 3 = .), problems were solved faster in the subtraction than in the addition format. However, when the subtrahend and the difference were close to each other (e.g., 13 − 7 = .), there were no significant reaction time differences between both formats. These results suggest that adults do not rely exclusively and routinely on addition to solve large single-digit subtractions, but select either addition-based or subtraction-based strategies depending on the relative size of the subtrahend.     

A device for presenting attack opportunity as a reinforcer for operant behavior

A device is described which automatically measures barpresses reinforced by short opportunities to attack male mice. Data on barpress rates indicate rapid and reliable acquisition of preferences for reinforcer bars and rapid abolition of this preference when the reinforcement contingency is subsequently eliminated. The data are less reliable for reversal learning.     

A warning about statistical significance tests performed on large samples of nonindependent observations

When sample observations are not independent, the variance estimate in the denominator of the Student t statistic is altered, inflating the value of the test statistic and resulting in far too many Type I errors. Furthermore, how much the Type I error probability exceeds the nominal significance level is an increasing function of sample size. If N is quite large, in the range of 100 to 200 or larger, small apparently inconsequential correlations that are unknown to a researcher, such as .01 or .02, can have substantial effects and lead to false reports of statistical significance when effect size is zero.     

Use of a multicomponent treatment for food refusal

We examined the use of a multicomponent treatment for food refusal exhibited by a 5-year-old boy who had been diagnosed with mild to moderate mental retardation. Treatment consisted of access to highly preferred tangible items, which were removed contingent on problem behavior or not accepting a bite, and differential reinforcement of alternative behavior. Treatment resulted in an increase in food acceptance to 100% of bite offers and near-zero rates of problem behavior. In addition, the participant's caregivers were successfully trained to implement the treatment.     

The significance of prognosis for a theory of medical practice

A typical problem of modern medicine results from the gap between scientific knowledge and its application in individual cases. Whereas scientific knowledge is generalized and impersonal information, medical practice takes place under conditions which are singular, individual and irreversible. The paper examines whether prognosis is able to bridge this gap or hiatus theoreticus. It is shown that diagnosis of a single case always relies on prognostic considerations. The individual prognosis (as distinguished from the nosologic prognosis of a certain disease) enables doctors to apply scientific knowledge and practice according to the actual situation, the history and personal preferences of the patient. Prognosis – not diagnosis – therefore legitimizes medical interference. A methodology of individual prognosis as the basis for a theory of practice is discussed.     

Use of indirect addition in adults' mental subtraction in the number domain up to 1,000

This study examined adults' use of indirect addition and direct subtraction strategies on multi-digit subtractions in the number domain up to 1,000. Seventy students who differed in their level of arithmetic ability solved multi-digit subtractions in one choice and two no-choice conditions. Against the background of recent findings in elementary subtraction, we manipulated the size of the subtrahend compared to the difference and only selected items with large distances between these two integers. Results revealed that adults frequently and efficiently apply indirect addition on multi-digit subtractions, yet adults with higher arithmetic ability performed more efficiently than those with lower arithmetic ability. In both groups, indirect addition was more efficient than direct subtraction both on subtractions with a subtrahend much larger than the difference (e.g., 713 - 695) and on subtractions with a subtrahend much smaller than the difference (e.g., 613 - 67). Unexpectedly, only adults with lower arithmetic ability fitted their strategy choices to their individual strategy performance skills. Results are interpreted in terms of mathematical and cognitive perspectives on strategy efficiency and adaptiveness.