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αλεx π
September 24, 2015
Research
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Cassandra for Data Analytics Backends
αλεx π
September 24, 2015
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Transcript
@ifesdjeen
Cassandra Monitoring
None
Precision
is not same as
Semantics
is not same as
Anomaly detection
Do you see the elephant being swallowed by the snake?
Agenda
Ad-hoc queries
Aggregations Fast
Machine Learning
parallel queries Step 1
+---------------+---------------+ | timestamp | sequenceId | +---------------+---------------+
Used to avoid timestamp resolution collisions To ensure sub-resolution order
Snapshot the data on overflow or timeout Ensures idempotence Sequence ID
Fighting Dispersion
ts1 ts2 ts3 ts4 ts5 ts6 ts7 ts8 ts9 ts10
ts11 ts12 ts13 Range Tables
Full Table Scan ts1 ts2 ts3 ts4 ts5 ts6 ts7
ts8 ts9 ts10 ts11 ts12 ts13 Start End
ts1 ts2 ts3 ts4 ts5 ts6 ts7 ts8 ts9 ts10
ts11 ts12 ts13
Open Range Start End ts1 ts2 ts3 ts4 ts5 ts6
ts7 ts8 ts9 ts10 ts11 ts12 ts13
ts1 ts2 ts3 ts4 ts5 ts6 ts7 ts8 ts9 ts10
ts11 ts12 ts13
“Between” Range ts1 ts2 ts3 ts4 ts5 ts6 ts7 ts8
ts9 ts10 ts11 ts12 ts13 Start End
ts1 ts2 ts3 ts4 ts5 ts6 ts7 ts8 ts9 ts10
ts11 ts12 ts13
(rich query API) Step 2 add some algebra
None
Stream Fusion for rich ad-hoc queries
What is even Stream Fusion
map filter reduce
single step mapFilterReduce
data Step data cursor = Yield data !cursor | Skip
!cursor | Done data Stream data = ∃s. Stream (cursor → Step data cursor) cursor
Stream Beginning: reading from the DB
map Yield data cursor → Yield (f cursor) cursor Skip
cursor → Skip cursor Done → Done maps :: (a → b) → Stream a → Stream b
filter Yield data cursor | p data → Yield data
cursor | otherwise → Skip cursor Skip cursor → Skip cursor Done → Done filters :: (a → Bool) → Stream a → Stream a
reduce/fold Yield x cursor → loop (f data x) cursor
Skip cursor → loop data cursor Done → z foldls :: (Monoid acc) => (acc → a → acc) → acc → Stream a → acc
Append class Monoid a where mempty :: a mappend ::
a -> a -> a -- ^ Identity of 'mappend' -- ^ An associative operation
class (Monoid intermediate) => Aggregate intermediate end where combine ::
intermediate -> end Combine
data Count = Count Int instance Monoid Count where mempty
= Count 0 mappend (Count a) (Count b) = Count $ a + b instance Aggregate Count Int where combine (Count a) = a Count Example
add some ML Step 3
Storing Models
Support Vector Machines
Hyperplane α·x - φ = 1
[ α1 α1 α1 ...αn ] ρ
Option 1: list<double>
CREATE TABLE support_vectors( path varchar, alpha list<double>, phi int, PRIMARY
KEY(path))
Problems High deserialisation overhead Need to add PK specifiers for
multiple SVs
Alternative: blob & byte buffers
Vector Representation
0 8 16 24 32 40 n*8 +----+----+----+----+----+----+----+----+ | α
| α | α | α | α | ... | α | +----+----+----+----+----+----+----+----+ byte address points 1 2 3 4 0 n
Matrix Representation
0 8 16 24 32 40 n*8 +----+----+----+----+----+---------+----+ | α
| α | α | α | α | ... | α | +----+----+----+----+----+---------+----+ 01 02 03 04 00 1n n*8+ 0 8 16 24 32 40 n*8 +----+----+----+----+----+---------+----+ | α | α | α | α | α | ... | α | +----+----+----+----+----+---------+----+ 01 02 03 04 00 1n m*n*8+ 0 8 16 24 32 40 n*8 +----+----+----+----+----+---------+----+ | α | α | α | α | α | ... | α | +----+----+----+----+----+---------+----+ m1 m2 m3 m4 m0 mn
Advantages No serialisation overhead Fast relative access Easy to go
multi-dimensional Easy to implement atomic in-memory operations
Bayesian Classifiers
P(X | blue)= Number of Blue near X Total number
of blue P(X | red)= Number of Red near X Total number of Red
[[Mean(x1), Var(x1)] [Mean(x2), Var(x3)] ... [Mean(xn), Var(xn)]]
0 8 16 +---------+---------+ | Mean(x )| Var(x ) |
+---------+---------+ 0 0 16 24 32 +---------+---------+ | Mean(x )| Var(x ) | +---------+---------+ 1 1 2n*8 (2n+1)*8 +---------+---------+ | Mean(x )| Var(x ) | +---------+---------+ n n byte address payloads
make it rocket-fast Step 4
Approximate Data Structures
Bloom Filters are basically long arrays / vectors
BitSet
0 8 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | +---+---+---+---+---+---+---+---+ 8 16 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+---+---+---+---+ 16 24 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+---+---+---+---+ 24 32 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+---+---+---+---+ bit address
Advantages 64 bits per 8-byte Long Easy to represent by
the long-array using offsets, bit shifts and masks Easy to implement atomic in-memory operations
Count-min sketches are basically int matrices
Histograms are basically long vectors
Conclusions Ad-hoc queries Parallelism Lightweight DSs representation Optimisations and good
API fits
@ifesdjeen