Geometric
problem-solving
remains
a
challenging
area
for
artificial
intelligence
due
to
the
necessity
precise
rule
application
and
spatial
reasoning.A
novel
approach
is
introduced
in
this
research
that
incorporates
rule-based
alignment
within
architecture
of
an
open-source
language
model,
Llama,
enhance
its
geometric
reasoning
capabilities.Through
embedding
explicit
rules
into
model's
neural
network,
modified
Llama
demonstrates
improved
accuracy
efficiency
solving
wide
range
problems,
from
basic
shape
recognition
complex
theorem
application.The
study
employs
geometry-focused
curriculum
training,
which
progressively
increases
complexity,
enabling
model
develop
robust
understanding
principles.Experimental
results,
compared
with
baseline
reveal
significant
improvements
accuracy,
consistency,
adherence
rules,
highlighting
efficacy
strategy.The
findings
suggest
integrating
structured
knowledge
models
can
lead
substantial
advancements
their
ability
perform
specialized
mathematical
tasks,
thereby
broadening
scope
applications
scientific
technical
domains.
Research Square (Research Square),
Год журнала:
2024,
Номер
unknown
Опубликована: Авг. 27, 2024
Abstract
The
increasing
computational
demands
and
resource
requirements
of
advanced
neural
network
models
have
created
a
growing
need
for
efficient
methods
to
enhance
their
scalability
deployment,
particularly
in
environments
with
limited
hardware
capabilities.
Addressing
this
challenge,
the
novel
application
multi-degree
low-rank
approximations
provides
significant
breakthrough,
enabling
substantial
reductions
memory
usage
costs
while
preserving
high
levels
performance.
Experiments
conducted
on
Mistral
model
demonstrated
that
approach
can
effectively
balance
trade-offs
between
complexity
accuracy,
achieving
reduced
perplexity
improved
classification
performance
across
range
tasks.
use
varying
degrees
rank
reduction
allowed
tailored
optimization,
enhancing
model's
adaptability
different
task
operational
environments.
findings
suggest
are
not
only
viable
solution
optimizing
large-scale
networks
but
also
versatile
tool
extending
applicability
sophisticated
language
resource-constrained
settings.
This
opens
up
new
possibilities
deployment
processing
capabilities
real-time
applications,
mobile
devices,
other
platforms
where
efficiency
is
critical.
Geometric
problem-solving
remains
a
challenging
area
for
artificial
intelligence
due
to
the
necessity
precise
rule
application
and
spatial
reasoning.A
novel
approach
is
introduced
in
this
research
that
incorporates
rule-based
alignment
within
architecture
of
an
open-source
language
model,
Llama,
enhance
its
geometric
reasoning
capabilities.Through
embedding
explicit
rules
into
model's
neural
network,
modified
Llama
demonstrates
improved
accuracy
efficiency
solving
wide
range
problems,
from
basic
shape
recognition
complex
theorem
application.The
study
employs
geometry-focused
curriculum
training,
which
progressively
increases
complexity,
enabling
model
develop
robust
understanding
principles.Experimental
results,
compared
with
baseline
reveal
significant
improvements
accuracy,
consistency,
adherence
rules,
highlighting
efficacy
strategy.The
findings
suggest
integrating
structured
knowledge
models
can
lead
substantial
advancements
their
ability
perform
specialized
mathematical
tasks,
thereby
broadening
scope
applications
scientific
technical
domains.