Symmetry, gauge freedoms, and the interpretability of sequence-function relationships
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2024,
Volume and Issue:
unknown
Published: May 13, 2024
Quantitative
models
that
describe
how
biological
sequences
encode
functional
activities
are
ubiquitous
in
modern
biology.
One
important
aspect
of
these
is
they
commonly
exhibit
gauge
freedoms,
i.e.,
directions
parameter
space
do
not
affect
model
predictions.
In
physics,
freedoms
arise
when
physical
theories
formulated
ways
respect
fundamental
symmetries.
However,
the
connections
sequence-function
relationships
have
to
symmetries
sequence
yet
be
systematically
studied.
Here
we
study
a
specific
symmetry
space:
group
position-specific
character
permutations.
We
find
parameters
transform
under
redundant
irreducible
matrix
representations
this
group.
Based
on
finding,
an
"embedding
distillation"
procedure
enables
analytic
calculation
number
independent
as
well
efficient
computation
sparse
basis
for
freedoms.
also
transformation
behavior
affects
interpretability.
many
(and
possibly
all)
nontrivial
models,
ability
interpret
individual
quantifying
intrinsic
allelic
effects
requires
present.
This
finding
establishes
incompatibility
between
two
distinct
notions
Our
work
thus
advances
understanding
symmetries,
and
interpretability
relationships.
Language: Английский
Symmetry, gauge freedoms, and the interpretability of sequence-function relationships
Physical Review Research,
Journal Year:
2025,
Volume and Issue:
7(2)
Published: April 2, 2025
Quantitative
models
that
describe
how
biological
sequences
encode
functional
activities
are
ubiquitous
in
modern
biology.
One
important
aspect
of
these
is
they
commonly
exhibit
gauge
freedoms,
i.e.,
directions
parameter
space
do
not
affect
model
predictions.
In
physics,
freedoms
arise
when
physical
theories
formulated
ways
respect
fundamental
symmetries.
However,
the
connections
sequence-function
relationships
have
to
symmetries
sequence
yet
be
systematically
studied.
this
work
we
study
a
specific
symmetry
space:
group
position-specific
character
permutations.
We
find
parameters
transform
under
redundant
irreducible
matrix
representations
group.
Based
on
finding,
an
“embedding
distillation”
procedure
enables
both
analytic
calculation
number
independent
and
efficient
computation
sparse
basis
for
freedoms.
also
transformation
behavior
affects
interpretability.
many
(and
possibly
all)
nontrivial
models,
ability
interpret
individual
as
quantifying
intrinsic
allelic
effects
requires
present.
This
finding
establishes
incompatibility
between
two
distinct
notions
Our
thus
advances
understanding
symmetries,
interpretability
relationships.
Published
by
American
Physical
Society
2025
Language: Английский
Efficient epistasis inference via higher-order covariance matrix factorization
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2024,
Volume and Issue:
unknown
Published: Oct. 14, 2024
Epistasis
can
profoundly
influence
evolutionary
dynamics.
Temporal
genetic
data,
consisting
of
sequences
sampled
repeatedly
from
a
population
over
time,
provides
unique
resource
to
understand
how
epistasis
shapes
evolution.
However,
detecting
epistatic
interactions
sequence
data
is
technically
challenging.
Existing
methods
for
identifying
are
computationally
demanding,
limiting
their
applicability
real-world
data.
Here,
we
present
novel
computational
method
inferring
that
significantly
reduces
costs
without
sacrificing
accuracy.
We
validated
our
approach
in
simulations
and
applied
it
study
HIV-1
evolution
multiple
years
set
16
individuals.
There
observed
strong
excess
negative
between
beneficial
mutations,
especially
mutations
involved
immune
escape.
Our
general
could
be
used
characterize
other
large
sets.
Language: Английский