A scalable, commodity data center network architecture
Summary (3 min read)
Introduction
- The role of diet and nutritional factors in brain aging is attracting much research attention.
- A growing body of evidence links dietary patterns with cognitive abilities in old age.
- The a priori method makes assumptions about which specific food items constitute a healthy diet based on current nutritional research and does not take into account the complexity of the full diet (Allès et al., 2012).
- Studies using more comprehensive neuropsychometric tests assessing specific cognitive domains are limited (Akbaraly et al., 2011; Kesse-Guyot et al., 2012).
Study population
- The study sample was drawn from the Lothian Birth Cohort 1936 Study (LBC1936), an ongoing longitudinal study of cognitive aging, which comprises 1,091 men and women living independently in the community.
- Almost all participants were residing in Edinburgh and the surrounding Lothian region at recruitment.
- Food frequency questionnaire (FFQ) data were available for 882 participants.
- Ethics permission for the LBC1936 study protocol was obtained from the Multi-Centre Research Ethics Committee for Scotland (MREC/01/0/56) and from the Lothian Research Ethics Committee for Scotland (LREC/2003/2/29).
Dietary assessment
- Dietary patterns were assessed using the Scottish Collaborative Group FFQ version 7.0.
- The FFQ version 7.0 lists 168 foods or drinks and a common unit or portion size for each item is specified.
- Response to all items was on a 9-point scale, ranging from “rarely or never” to “7+ per day” in the previous two to three months.
- All participants (n = 1,091) were asked to complete the FFQ at home and return it by post.
- Of these questionnaires, 98 were not returned, 26 were returned blank, and 39 had >10 missing items and excluded from the analyses.
Identification of dietary patterns
- Dietary factors were previously identified for this sample using principal components analysis (PCA) with varimax orthogonal rotation on all the FFQ items.
- Four main components were extracted, based on the examination of scree plots, which accounted for 11.67% of the total variance.
- The “health aware” diet pattern (14 items) was defined by eating more fruits (such as apples, bananas, tinned fruit, oranges, and others) and carrots, and had negative loadings from high consumption of meat products (bacon or Dietary patterns and cognitive function 1395 gammon, pork or lamb, and sausages) eggs, and spirits or liqueurs.
- Factor scores were calculated by summing the frequency of consumption multiplied by factor loadings across all food items.
MO R A Y HOUSE TE S T (AGE 11 AND 70
- The MHT is a groupadministered test of general intelligence.
- This test was concurrently validated against the Terman– Merrill revision of the Binet scales (SCRE, 1949).
- SCRE recorded and archived these scores and made them available to the LBC1936 study.
- Participants re-sat the MHT at a mean age of 70 years.
OTHER COGNITIVE TESTING
- Three cognitive domains are represented in the LBC1936 cognitive battery: general (g) cognitive ability, processing speed, and memory.
- A general (g) cognitive ability factor was derived from scores on six Wechsler Adult Intelligence Scale-IIIUK (WAIS-III) subtests (Wechsler, 1998a), namely Letter-Number Sequencing; Matrix Reasoning; Block Design; Digit Symbol; Digit Span Backwards; and Symbol Search.
- Verbal ability was assessed using the National Adult Reading Test (NART; Nelson and Willison, 1991) and the Wechsler Test of Adult Reading (WTAR; Holdnack, 2001).
- The MMSE is a standardized brief screening measure for cognitive pathology (Folstein et al., 1975).
Covariates
- Covariates included age (in days at the time of testing) and sex.
- Adult SES was derived from participants’ (or their spouses’) highest reported occupation and classified into one of the following six categories: professional; managerial; skilled nonmanual; skilled manual; semi-skilled; and unskilled (Office of Population Censuses and Surveys, 1980).
- Raw scores were corrected for age in days at the time of testing and converted into IQ-type scores for the sample (M = 100, SD = 15).
- Health measures included history of diabetes, stroke, or cardiovascular disease (CVD) (all coded as dichotomous variables, yes/no).
Statistical analysis
- Analyses were performed using SPSS version 19 (IBM, NY, USA).
- The authors used one-way analysis of variance for continuous variables, and Chi-square tests (χ2) for categorical variables, to examine the relations between dietary patterns and characteristics of the participants.
- For these analyses, the authors used a General Linear Model (GLM) approach in a series of models; each subsequent model was adjusted for a different set of covariates.
- The authors report p-values (p < 0.05 as level of significance was used for all data analyses).
- It is defined as the ratio of variance in the outcome accounted for by an effect, and that effect plus its associated error variance, within an ANOVA/GLM design.
Results
- Table 1 shows the characteristics of study participants in relation to dietary patterns.
- Generally, controlling for age 11 IQ and occupational social class (models 2, 3, and 4) strongly attenuated most of the associations between the dietary patterns and cognitive scores, and often reduced them to non-significance.
- Similarly, the negative associations between the “traditional” dietary pattern and cognitive abilities were diminished after adjustment of covariates, particularly age 11 IQ.
- In model 1, persons with higher scores on the “health aware” foods dietary pattern scored more poorly on a test of age 70 IQ, although the effect size was small (ηp2 = 0.005).
Discussion
- In this study the authors examined associations between four empirically derived dietary patterns and important domains of cognitive function in a UK sample of men and women aged about 70 years.
- Before adjustment for childhood IQ and SES, their results suggested that following a “Mediterranean-style” diet was associated with better cognitive function, and following a “traditional” diet was associated with poorer cognitive function on all cognitive domains tested: IQ, general (g) cognitive ability factor, processing speed, memory, and verbal ability.
- Higher lifetime trait IQ was also found to predict vitamin supplement use rather than supplement use predicting IQ in old age.
- Prospective studies are important for research on the etiology of cognitive aging; dietary assessment at midlife and/or measures of long-term dietary intake likely reduce the possibility of confounding or reverse causation by factors caused by the disease process in later life.
Strengths and limitations
- In contrast with the conventional approach, which focuses on a single nutrient or a few nutrients or foods in isolation, identifying dietary patterns takes into account overall eating patterns.
- The authors used a single measure of diet (FFQ) designed to capture dietary habits in the short term, but not necessarily representative of dietary habits over a longer period of time.
- That said, the authors excluded persons based on the MMSE score, and therefore they were confident that the current samples were free from cognitive impairment.
- Of course, given their interests in the lifelong association between dietary patterns and cognitive abilities, it would have been useful to have information on dietary patterns from childhood, and more information on both diet and cognition from points in the life course between the age of 11 and 70 years.
Conclusions
- Dietary patterns are a promising strategy for analyzing the associations between food and cognitive performance in epidemiological investigations.
- Their findings urge caution in interpreting diet–cognition associations as causal effects in that direction.
- The authors results suggest a pattern of reverse causation (or confounding); a higher childhood cognitive ability (and adult SES) might predict choice of and/or adherence to a “healthy” dietary pattern and better cognitive performance in old age.
- The authors models show no direct link between diet and cognitive performance in older age; instead, they raise the possibility that they are related via the lifelong stable trait of intelligence.
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Frequently Asked Questions (14)
Q2. How do the authors achieve the full bisection bandwidth of a data center?
By leveraging strictly commodity switches, the authors achieve lower cost than existing solutions while simultaneously delivering more bandwidth.
Q3. How many ports are connected to each pod switch?
The ith port of any core switch is connected to pod i such that consecutive ports in the aggregation layer of each pod switch are connected to core switches on (k/2) strides.
Q4. How many nodes can be supported with ECMP?
Without the use of ECMP, the largest cluster that can be supported with a singly rooted core with 1:1 oversubscription would be limited to 1,280 nodes (corresponding to the bandwidth available from a single 128-port 10 GigE switch).
Q5. What is the advantage of the fat-tree topology?
An advantage of the fat-tree topology is that all switching elements are identical, enabling us to leverage cheap commodity parts for all of the switches in the communication architecture.
Q6. What is the way to make a copy of this work?
Clusters consisting of tens of thousands of PCs are not unheard of in the largestPermission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page.
Q7. What is the main problem with fat-tree topologies?
For even simple communication patterns, such single-path routing will quickly lead to bottlenecks up and down the fat-tree, significantly limiting overall performance.
Q8. What is the approach to delivering full bandwidth for large data centers?
The authors also expect that their approach will be the only way to deliver full bandwidth for large clusters once 10 GigE switches become commodity at the edge, given the current lack of any higher-speed Ethernet alternatives (at any cost).
Q9. What is the main reason why large clusters are oversubscribed?
communication bandwidth in large clusters may become oversubscribed by a significant factor depending on the communication patterns.
Q10. How many pods would be built from a fat-tree?
As an example instance of this topology, a fat-tree built from 48- port GigE switches would consist of 48 pods, each containing an edge layer and an aggregation layer with 24 switches each.
Q11. How much would it cost to deploy a fat-tree topology?
The cost of deploying such a network architecture would be $8.64M , compared to $37M for the traditional techniques described earlier.
Q12. What is the cost of a fat-tree cluster?
Clusters based on fat-tree topologies on the other hand scale well, with the total cost dropping more rapidly and earlier (as a result of following commodity pricing trends earlier).
Q13. How much does the cost of a 20,000 host switch cost?
For instance, the switching hardware to interconnect 20,000 hosts with full bandwidth among all hosts comes to approximately $37M.
Q14. How much does it cost to build a GigE switch?
The authors assume a cost of $7,000 for each 48-port GigE switch at the edge and $700,000 for 128-port 10 GigE switches in the aggregation and core layers.