abilities
able
about
about
about
about
access
according
accuracy
accuracy
achievable
achieve
achieve
achieve
achieves
achieves
achieves
active
active
active
active
active
active
active
active
active
actual
adapt
adaptive
adaptive
adaptive
adaptively
add
additional
additive
adjusting
adopts
advances
advances
after
again
again
against
albert
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithm
algorithms
algorithms
algorithms
algorithms
algorithms
algorithms
algorithms
algorithms
alice
alice
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
all
allow
allowed
allows
allows
almost
almost
almost
almost
almost
almost
along
already
also
also
also
also
also
also
also
also
also
also
also
also
also
also
also
also
also
also
alto
always
always
ambiguity
among
amount
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
an
analysis
analysis
analysis
analysis
analyze
analyze
analyze
analyzed
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
and
another
any
any
any
any
any
any
applied
applied
apply
apply
apply
apply
apply
applying
applying
applying
applying
applying
approach
approach
approach
approximate
approximate
approximated
approximately
approximately
approximately
approximately
approximately
approximates
approximates
approximates
approximation
approximation
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
are
argmax
argmin
argue
arguments
around
art
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
as
ask
associated
assume
assume
assume
assume
assume
assume
assuming
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumption
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
assumptions
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
at
attempts
attempts
authors
authors
average
azuma
azuma's
azuma's
barabasi
based
based
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
be
become
become
become
become
become
becomes
becomes
becoming
been
been
been
been
been
before
before
beginning
behavior
behavior
behavior
being
being
being
being
believe
believe
below
below
benchmark
benchmark
benchmarks
benchmarks
bernouilli
bernoulli
bernoulli
bernoulli
beside
best
best
best
between
between
between
between
beyond
binary
biniary
bit
bit
bit
bit
blue
blue
blue
bob
bob
bob
bob
boring
both
both
both
both
both
both
both
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bound
bounded
bounded
bounded
bounding
bounds
bounds
bounds
bounds
bounds
bounds
but
but
but
but
but
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
by
ca
called
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
can
canada
captures
captures
captures
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascade
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
cascades
case
case
case
case
case
case
case
case
case
case
case
case
case
case
case
case
case
case
case
cases
cast
cast
cast
cast
central
challenge
change
choose
choose
chooses
choosing
choosing
chosen
chosen
chosen
chosen
chosen
chosen
chosen
class
class
class
classes
close
close
closely
closer
closest
clues
coalesces
coauthordomain
coauthor's
code
collinear
collinear
color
color
column
column
commonly
communication
compare
compare
compare
compare
compared
compress
compressed
compressed
compressed
compressed
computation
concave
concave
concave
conclude
conclude
concludes
conclusion
conclusion
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
condition
conditioned
conditioned
conditions
conditions
conditions
confidence
conjugate
connectivity
consequence
consequence
consequence
consider
consider
consider
consider
consider
consider
consider
consider
consider
consider
consider
consider
considered
considered
considering
considering
considers
constant
constant
constant
constant
constant
constant
constraint
construct
construct
constructing
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
contagious
context
context
context
context
context
context
context
context
continuous
continuous
continuous
continuous
contradiction
contrary
contrast
contrast
contrasted
contributions
contributions
controls
convergence
convergence
converges
converted
convex
convex
convex
convex
convexity
conveyed
coordinate
coordinates
coordinates
corollary
corollary
corollary
correctly
correlated
correlated
correlation
correlation
correlation
correlation
cost
cost
could
crucially
current
current
current
daneshmand
data
data
day
decade
decay
decay
decay
decomposable
decomposable
decomposable
decomposed
define
define
defined
defining
defining
definition
definition
definition
degeneracy
degrade
degree
degree
degree
denote
denote
denote
denote
denoting
depend
depend
depending
depends
depends
describes
describing
designing
designs
despite
details
details
deterministic
deterministic
did
differences
different
different
different
different
different
different
differentiable
differentiable
differentiable
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
diffusion
directed
directed
direction
direction
direction
directly
directly
discrete
discrete
discrete
discrete
discrete
discrete
discrete
discrete
discuss
discuss
discussed
discussion
dispose
distribution
distribution
distribution
distribution
distribution
do
does
doubling
draw
draw
drawing
drawn
due
each
each
each
each
each
each
each
each
each
each
each
each
each
each
each
each
each
each
each
easier
easy
easy
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edge
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edges
edu
edu
effective
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
eigenvalue
either
either
either
email
email
empirical
empirically
empirically
encompasses
end
end
entirely
eq
eq
eq
eq
eq
eq
eq
eq
eq
eq
equally
equivalence
equivalent
error
essentially
essentially
estimate
estimate
estimated
estimated
estimating
estimation
estimation
estimation
estimation
estimation
estimation
estimator
estimator
estimators
etc
evaluate
even
events
eventually
every
every
every
every
every
exact
exact
exactly
exactly
exactly
exactly
exactly
exactly
example
example
example
examples
examples
except
except
exceptionally
existence
exists
exists
exists
exists
exists
exists
exp
expect
expected
expected
experimental
experiments
experiments
experiments
experiments
experiments
experiments
experiments
explicitate
exploiting
expressed
expressed
extend
extended
extensively
extra
fact
fact
fact
factor
factor
falls
falls
false
false
family
family
fantastic
fantastic
far
far
faster
faster
few
few
few
few
f''f
field
figure
figure
figure
finally
finally
finally
finally
finally
finally
finally
finite
finite
first
first
first
first
first
first
first
first
firstly
fisher
fixed
fixed
focus
focus
focus
focus
focus
focused
focused
followed
following
following
following
following
following
following
following
following
following
following
following
following
following
following
following
following
following
following
follows
follows
follows
follows
foo
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
for
form
form
form
form
formalized
formally
formally
formatting
formulate
formulation
formulation
fortunately
found
found
found
fraction
framework
framework
framework
framework
framework
framework
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
from
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
function
functions
functions
furthermore
furthermore
furthermore
furthermore
furthermore
future
future
future
game
game
general
general
general
general
general
general
generality
generalization
generalize
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generalized
generate
get
get
give
give
give
give
given
given
given
given
gives
glm
goal
goal
goal
good
good
good
gossip
gracefully
gradient
gram
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graph
graphs
graphs
graphs
graphs
graphs
graphs
graphs
graphs
graphs
graph's
graph's
graph's
graph's
graph's
graphs
graphs
graphs
greater
greedy
greedy
greedy
greedy
greedy
guarantee
guarantee
guarantee
guarantees
guarantees
guarantees
guarantees
guarantees
had
handle
happen
harder
hartley
has
has
has
has
has
has
has
has
has
has
has
has
has
has
has
has
have
have
have
have
have
have
have
have
have
have
have
have
have
have
have
have
have
helps
hence
hence
henceforth
here
hessian
hessian
hessian
hessian
hessian
hessian
hessian
hessian
hessian
hessian
high
high
high
high
high
high
higher
hoeffding's
hold
hold
hold
hold
hold
hold
holds
holds
holds
holds
holds
holds
holds
holds
holds
holds
holds
holds
holds
holme
hope
hope
horizon
horizon
horizon
how
how
how
how
how
however
however
however
however
however
hyperplanes
ic
ic
icml
icml
identified
identify
identity
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
if
iff
iff
immune
immune
implied
implies
implies
implies
implies
implies
implies
imply
important
impossibility
improve
improved
improvements
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
in
include
include
including
including
incoherence
incoming
incoming
indeed
indeed
indeed
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independent
independently
indicator
indicator
indicator
indicator
indices
induced
inequality
inequality
inequality
inequality
inequality
infeceted
infect
infected
infected
infection
infection
infection
infection
infection
infections
infectious
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inference
inferring
inferring
inferring
influence
influence
influence
influence
influence
influence
influence
influence
influence
influence
influence
influence
influence
influence
information
information
information
information
information
information
information
information
initial
initial
initial
initializations
input
input
inspiration
institute
institute
interestingly
interpretation
interpreted
interpreted
interpreted
interpreted
interpreting
interval
interval
intervals
into
into
introduce
introduce
introduce
introduce
introduced
introduced
introduced
introduced
introduction
introduction
intuitively
inverse
inverse
inverse
inverse
inverse
inverse
inverse
inverse
involves
involves
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
irrepresentability
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
is
isolated
it
it
it
it
it
it
it
it
it
it
it
it
it
it
it
it
it
it
iterative
its
its
its
its
its
its
its
keep
kim
kkt
know
knowledge
known
known
known
known
known
known
known
known
known
kronecker
large
large
large
large
lasso
lasso
lasso
lasso
lasso
lasso
lasso
lasso
lasso
later
law
lb
lb
lead
lead
learning
learning
learning
least
least
least
leave
lemma
lemma
lemma
lemma
lemma
lemma
lemma
lemma
lemma
lemmas
less
less
less
less
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
let
level
levels
lf
lf
lf
lf
lf
lf
lf
life
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likelihood
likely
limit
limits
line
line
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
linear
link
link
link
link
link
link
link
link
literature
literature
literature
literature
log
log
log
log
log
log
logarithmic
logistic
logistic
loops
loss
lower
lower
lower
lower
lower
lower
lower
lower
lower
lower
lower
lowering
machine
made
made
made
main
main
main
main
majority
make
making
manner
many
many
margin
markov
markov
martingale
match
matching
matrices
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix
matrix
maximum
maximum
maximum
maximum
maximum
maximum
may
meaning
means
measure
measured
measurememts
measurement
measurement
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
measurements
mentioned
merit
merit
method
might
miraculously
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
mle
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
model
models
models
models
models
model's
models
models
more
more
more
more
more
more
more
more
more
most
most
moving
much
multi
mutually
mutually
name
name
namely
natural
necessary
necessary
necessitates
need
need
needed
neighbors
netinf
netrapalli
netrate
network
networks
networks
networks
networks
never
never
new
new
new
new
next
no
no
no
no
no
no
no
no
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
node
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
nodes
noise
noise
non
non
non
non
non
non
non
non
non
non
non
non
non
norm
norm
norm
norm
norm
normalized
not
not
not
not
not
not
not
not
not
not
not
not
notably
notably
notation
notations
note
note
note
note
note
note
noting
now
now
now
now
now
now
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
number
numerically
obey
objective
observation
observation
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observations
observe
observe
observe
observe
observed
observed
observed
observed
observed
observed
observed
observed
observed
observing
observing
obtain
obtain
obtain
obtain
obtained
obtained
obtained
obtained
obtained
obtained
obtained
obtained
obtained
obtaining
obtains
obvious
occur
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
of
omit
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
on
once
one
one
one
one
one
one
one
one
one
one
ones
only
only
only
only
only
only
only
only
opens
optimal
optimization
optimization
optimize
or
or
or
or
or
or
or
or
order
order
order
order
organization
original
original
other
other
other
other
other
other
other
other
other
other
other
other
other
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
our
outlined
outputs
over
over
over
over
over
over
over
over
over
over
over
over
over
over
overfitting
overlooked
overlooked
overlooked
palo
paper
paper
paper
paper
paper
paper
paper
papers
papers
papers
papers
papers
paragraph
parameter
parameter
parameter
parameter
parameter
parameter
parameter
parameter
parameter
parameters
parameters
parameters
parameters
parameters
parameters
parameters
parameters
parameters
parents
parents
parents
parents
parents
parents
parents
parents
parents
parents
parents
particular
particular
particular
patient
patient
patterns
pay
penalization
penalty
per
perform
perform
performance
performed
perspective
pi
pick
place
place
place
place
point
points
polynomial
positive
positive
positives
possible
possible
possible
power
practice
practice
practice
practice
pre
pre
pre
pre
pre
precisely
precision
precision
prediction
presence
present
present
present
presented
presented
preventing
previous
previous
previous
previous
previous
previous
price
prior
prior
prior
priori
probabilistic
probabilistic
probabilistic
probabilities
probabilities
probabilities
probabilities
probabilities
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
probability
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problem
problems
problems
process
process
process
process
process
process
process
process
process
process
process
process
process
processes
processes
processes
processes
processes
processes
processes
program
program
program
program
program
program's
proof
proof
proof
proof
proof
proof
propagating
propagative
properties
properties
property
property
proportional
proportional
propose
propose
proposition
proposition
proposition
proposition
proposition
prove
prove
prove
provide
provide
provide
provide
provide
provided
provides
provides
provides
proving
proving
quadratic
quantifying
quantity
question
random
random
random
random
random
random
random
random
random
rarely
rarely
rarely
rate
rate
rate
rates
rather
rc
re
re
re
re
re
re
re
re
re
re
re
re
re
re
re
reach
reach
reached
reader
real
real
real
realisation
realisations
realistic
realistic
realistic
reasonable
reasonable
recall
recall
recall
recall
recalled
recent
recent
recent
recent
recent
recent
recent
recent
recently
recently
reconstruct
reconstruction
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recover
recovered
recovered
recovered
recovered
recovered
recovered
recovered
recovering
recovering
recovering
recovering
recovering
recovering
recovering
recovers
recovers
recovers
recovers
recovers
recovers
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
recovery
red
reduces
refer
referred
regardless
regularization
regularization
regularization
regularized
regularized
regularized
regularized
regularizer
related
related
relationship
relax
relaxed
relied
relies
rely
rely
remain
remain
remaining
remark
remark
remember
remember
report
reported
reported
represented
require
required
required
required
required
required
required
required
requires
requires
research
research
research
research
research
respect
respectively
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restricted
restrictive
restrictive
restrictive
restrictive
result
results
results
results
results
results
results
results
results
results
results
results
results
results
results
returned
rewritten
robust
robust
robust
robustness
robustness
roughly
round
routing
same
same
same
same
same
same
same
sample
sample
sampled
sates
satisfied
satisfies
satisfies
say
score
score
score
section
section
section
section
section
section
section
section
section
section
section
section
section
section
section
section
section
sections
see
see
see
see
seeks
seeks
seemingly
seemingly
seemingly
seen
selected
self
sends
sense
sense
sensing
sensing
sensing
sensing
separate
sequence
series
series
set
set
set
set
set
set
set
set
set
set
set
set
set
set
set
set
set
sets
setting
setting
setting
setting
setting
setting
setting
setting
setting
setting
settings
setup
several
several
several
several
shannon
should
should
should
should
show
show
show
show
show
show
show
show
show
show
show
show
show
showing
shown
shown
shown
shows
shows
sign
signal
signal
signal
signal
signal
signals
signals
significant
similar
similar
similar
similar
similar
similar
similarity
similarly
similarly
similarly
simple
simplicity
simplified
simplifies
simply
since
since
since
since
since
since
since
single
single
single
single
single
single
single
single
situation
situations
size
sketch
sketch
smaller
smallest
smallest
so
so
social
social
solution
solution
solution
solution
solve
solve
solve
solved
solving
solving
solving
solving
some
some
some
some
some
some
soon
source
source
source
source
source
source
source
source
source
source
source
source
source
source
space
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparse
sparsity
sparsity
sparsity
sparsity
sparsity
sparsity
sparsity
sparsity
special
specific
specific
specific
specific
specific
spirit
spread
spreads
st
st
stable
stable
stable
standard
standard
standard
standard
standard
state
state
state
state
state
state
state
state
states
states
states
states
stay
staying
step
step
step
step
step
step
step
step
step
step
step
step
step
step
step
step
step
steps
steps
steps
stops
strogatz
strogatz
strong
strong
strong
strong
strong
strong
strong
stronger
studied
studied
studied
studied
studied
studies
studies
study
study
study
study
study
study
studying
sub
subscript
subset
subspaces
succeeds
succeeds
success
success
successive
such
such
such
such
such
such
such
such
such
such
such
such
such
such
such
sufficient
sufficient
sufficient
sufficient
sufficient
sufficiently
suggest
suggests
sum
sum
sum
sum
support
support
support
support
support
support
support
supports
supports
suppose
suppose
suppose
suppose
suppose
suppose
suppose
suppose
suppose
surely
survey
survey
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
susceptible
symmetric
synthetic
synthetic
synthetic
tackling
tail
take
takes
takes
taking
taking
taking
techniques
techniques
term
terminates
terms
test
testing
th
than
than
than
than
than
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
that
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
the
their
their
their
their
their
their
their
their
their
their
their
themselves
themselves
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
then
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theorem
theoretic
theoretical
theoretical
theoretical
theoretical
theory
theory
theory
there
there
there
there
there
there
therefore
therefore
therefore
therefore
therefore
therefore
therefore
these
these
these
these
these
these
these
they
they
they
they
they
they
they
they
they
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
this
though
three
threshold
threshold
threshold
threshold
threshold
threshold
threshold
threshold
threshold
thresholded
thresholding
thresholding
thresholding
through
through
through
through
throughout
thus
thus
thus
tight
tight
tight
tight
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
time
times
times
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
to
together
together
too
too
toronto
total
total
transformation
transition
transition
transition
transition
tree
trivially
true
true
true
true
true
true
true
twice
twice
two
two
two
two
two
two
type
type
typically
ultimately
under
under
under
under
under
under
under
under
under
under
under
under
underlying
understand
undirected
uniformly
uniformly
uniformly
uniformly
uniformly
uniformly
union
unknown
unknown
unknown
unrealistic
until
until
until
up
upper
upper
upper
upper
upper
us
us
us
us
us
us
us
us
usa
use
uses
using
using
using
using
valid
validate
validate
validated
validation
valuable
valuable
variable
variable
variable
variable
variable
variable
variable
variables
variables
variance
various
varying
vector
vector
vector
vectors
vectors
vectors
vectors
vectors
venues
verified
verifies
verifies
verifies
verifies
verifies
verifies
verify
verify
version
very
very
very
via
voter
voter
voter
voter
voter
voter
voter
voter
voter
voter
vs
was
watts
watts
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
we
weak
weaker
weakest
weight
weight
weight
weighted
weights
weights
weights
weights
weights
weights
weights
weights
weights
weights
weights
weights
weights
well
well
well
well
well
well
well
well
were
what
when
when
when
when
when
when
when
whenever
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
where
whereas
wherein
whether
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
which
while
whilst
whilst
white
who
whom
will
will
will
will
will
will
will
will
will
will
will
will
will
will
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
with
without
without
without
without
without
words
words
words
words
words
words
words
words
words
work
work
work
work
work
work
work
work
work
work
work
work
work
work
work
work
work
would
write
write
writing
writing
writing
written
yields
your
your
your
yourdomain
zero
zero
zero