1. A method of determining whether a metric is an anomaly, the method comprising:
receiving a data point;
determining the metric in accordance with the data point and a center value;
determining whether the metric is the anomaly by:
determining that the data point is not the anomaly when the metric is below a lower threshold;
determining that the data point is the anomaly when the metric is above an upper threshold; and
determining that the data point might be the anomaly when the metric is between the lower threshold and the upper threshold.
2. The method of claim 1, wherein determining that the data point might be the anomaly comprises:
determining a first length of time that a plurality of data points comprising the data point have been between the lower threshold and the upper threshold;
comparing the first length of time to a second length of time of a delay window; and
determining that the data point is the anomaly when the first length of time is greater than or equal to the second length of time of the delay window.
3. The method of claim 2, wherein determining that the data point might be the anomaly further comprises:
determining whether a delay window timer has been set; and
setting the delay window timer when the delay window timer has not been set.
4. The method of claim 2, further comprising releasing a delay window timer when the metric is below the lower threshold.
5. The method of claim 1, wherein determining the metric comprises determining a Mahalanobis distance between the data point and the center value.
6. The method of claim 1, further comprising:
determining the lower threshold; and
determining the upper threshold.
7. The method of claim 6, further comprising receiving a sensitivity level, wherein determining the lower threshold comprises determining the lower threshold in accordance with the sensitivity level, and wherein determining the upper threshold comprises determining the upper threshold in accordance with the sensitivity level.
8. The method of claim 6, wherein determining the upper threshold comprises:
receiving a user input; and
setting the upper threshold to the user input.
9. The method of claim 1, further comprising determining a probabilistic root cause of the anomaly when the data point is determined to be the anomaly.
10. The method of claim 9, wherein determining the probabilistic root cause of the anomaly comprises traversing a soft decision tree.
11. A method of root cause analysis, the method comprising traversing a soft decision tree, wherein the soft decision tree comprises a plurality of decision nodes and a plurality of root cause nodes, wherein traversing the soft decision tree comprises:
determining a first plurality of probabilities that the plurality of decision nodes indicate an event which is an anomaly; and
determining a second plurality of probabilities of the plurality of root causes in accordance with the first plurality of probabilities.
12. The method of claim 11, wherein determining a first probability of the first plurality of probabilities comprises calculating the first probability to be
1
1
–
\uf74d
–
(
f
–
\u03c4
)
,
wherein f is a Mahalanobis distance between a test vector and a center value, and wherein \u03c4 is a threshold.
13. The method of claim 11, wherein determining the second plurality of probabilities comprises determining a plurality of edge weights in accordance with first plurality of probabilities.
14. The method of claim 13, wherein determining the plurality of edge weights comprises calculating negatives of the natural logarithm of the first plurality of probabilities and negatives of the natural logarithm of one minus the first plurality of probabilities.
15. The method of claim 13, wherein determining the plurality of edge weights comprises determining a plurality of path distances in accordance with the plurality of edge weights.
16. The method of claim 15, further comprising:
determining the minimum of the plurality of path distances to produce a most likely root cause; and
transmitting the most likely root cause.
17. The method of claim 15, further comprising:
determining which of the plurality of path distances are below a path threshold to produce a group of likely causes; and
transmitting the group of likely causes.
18. The method of claim 11, further comprising constructing the soft decision tree.
19. The method of claim 18, wherein constructing the soft decision tree comprises constructing the soft decision tree in accordance with user input.
20. The method of claim 18, wherein constructing the soft decision tree comprises performing a machine learning algorithm on a plurality of labels.
21. The method of claim 11, further comprising detecting an initial anomaly.
22. The method of claim 11, wherein determining the second plurality of probabilities of the plurality of root causes comprises determining a probability of a first root cause comprises multiplying a subset of the first plurality of probabilities to determine the probability of the first root cause, wherein the plurality of root causes comprises the first root cause, wherein the subset of the first plurality of probabilities are on a path along the soft decision tree from a root level of the soft decision tree to the first root cause.
23. A computer for detecting an anomaly comprising:
a processor; and
a computer readable storage medium storing programming for execution by the processor, the programming including instructions to
receive a data point,
determine a metric in accordance with the data point and a center value,
determine whether the metric is less than a lower threshold, between the lower threshold and an upper threshold, or greater than the upper threshold,
determine that the data point is not the anomaly when the metric is less than the lower threshold,
determine that the data point is the anomaly when the metric is greater than the upper threshold, and
determine that the data point might be the anomaly when the metric is between the lower threshold and the upper threshold.
The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.
1. A sole component for an article of footwear, the sole component comprising:
a bladder formed of a barrier material that encloses a fluid; and
a reinforcing structure at least partially recessed into the barrier material and bonded to the barrier material, the reinforcing structure extending through at least a sidewall of the bladder to restrict distension of the sidewall.
2. The sole component recited in claim 1, wherein the reinforcing structure has a first portion, a second portion, and a plurality of connecting portions extending between the first portion and the second portion.
3. The sole component recited in claim 2, wherein the first portion is secured to the bladder at an interface between a first surface and the sidewall, and the second portion is secured to the bladder at an interface between a second surface and the sidewall, the first surface being positioned opposite the second surface.
4. The sole component recited in claim 3, wherein the connecting portions are at least partially recessed into the sidewall and bonded to the sidewall.
5. The sole component recited in claim 3, wherein the first portion extends along a lateral side of the bladder, around a heel region of the bladder, and along a medial side of the bladder.
6. The sole component recited in claim 5, wherein at least one bridge member extends laterally across the bladder and connects opposite sides of the first portion.
7. The sole component recited in claim 3, wherein at least one of the connecting portions is inclined.
8. The sole component recited in claim 3, wherein a space between two adjacent connecting portions is positioned in a rear-lateral region of the sole structure.
9. The sole component recited in claim 1, wherein a material forming the reinforcing structure has a greater modulus of elasticity than the barrier material.
10. The sole component recited in claim 1, wherein the reinforcing structure is formed of a first material and a different second material, each of the first material and the second material having a greater modulus of elasticity than the barrier material.
11. The sole component recited in claim 1, wherein the reinforcing structure includes extensions that extend outward from the bladder.
12. The sole component recited in claim 1, wherein the reinforcing structure includes vent apertures that release air from between the bladder and the reinforcing structure.
13. The sole component recited in claim 1, wherein the reinforcing structure extends between a first surface of the bladder and a second surface of the bladder only in a midfoot region and a heel region of the sole component.
14. The sole component recited in claim 1, wherein the bladder is formed of a first barrier layer that forms a first surface and the sidewall, and the bladder is formed of a second barrier layer that forms a second surface that is opposite the first surface, the reinforcing structure being bonded only to the first barrier layer.
15. The sole component recited in claim 1, wherein edges of the reinforcing member are beveled.
16. A sole component for an article of footwear, the sole component comprising:
a bladder formed of a barrier material that encloses a pressurized fluid, the bladder having a first surface, an opposite second surface, and a sidewall extending between the first surface and the second surface; and
a reinforcing structure bonded to the bladder, the reinforcing structure including:
a first portion positioned at an interface of the first surface and the sidewall, the first portion extending along a lateral side of the bladder, around a heel region of the bladder, and along a medial side of the bladder,
a second portion spaced from the first portion and positioned at an interface of the second surface and the sidewall, the second portion extending along the lateral side, around the heel region, and along a medial side of the bladder, and
a plurality of connecting portions extending along the sidewall and between the first portion and the second portion, the connecting portions being recessed into sidewall,
the reinforcing structure being formed of a material with a greater modulus of elasticity than the barrier material, and at least one of the connecting portion being in tension to restrict distension of the sidewall due to an outward force induced by the pressurized fluid.
17. The sole component recited in claim 16, wherein at least one of the connecting portions is inclined.
18. The sole component recited in claim 16, wherein spaces are formed between the connecting portions.
19. The sole component recited in claim 16, wherein one of the spaces is positioned in a rear-lateral region of the sole component.
20. The sole component recited in claim 16, wherein at least one bridge member extends laterally across the bladder and connects opposite sides of the first portion.
21. The sole component recited in claim 16, wherein the material forming the reinforcing structure includes a first material and a different second material, each of the first material and the second material having a greater modulus of elasticity than the barrier material.
22. The sole component recited in claim 16, wherein the reinforcing structure includes extensions that extend outward from the bladder.
23. The sole component recited in claim 16, wherein the reinforcing structure includes vent apertures that release air from between the bladder and the reinforcing structure.
24. The sole component recited in claim 16, wherein edges of the reinforcing member are beveled.