Memories on multiple timescales: the importance of heterogeneity and memory transfer
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Transcript of Memories on multiple timescales: the importance of heterogeneity and memory transfer
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Memories on multiple timescales: the importance of heterogeneity and memory transfer
Stefano Fusi
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Idealized synapses (~N)
Bounded synapses (~log N)
MANY SYNAPSES = MANY MEMORIES
Amit, Fusi (1992,1994), Brunel, Carusi, Fusi (1998), Fusi (2001)
(N)
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time time
timetime
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Slow learning
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Heterogeneity
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FAST SLOW
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N = Number of synapses (1010)
qs = Smallest rate (slowest timescale) = 10-3
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…
m groups
FAST SLOW
q1 qm-1q2 qm=qs
qk=(qs)k/m
N/m N/m N/m N/m
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m=10
Homogenous q=q
s
Hom
ogenous q=q
1
Heterogeneous
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m=50
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qs√N
√Nlog(1/qs)
qs√Nqs√N
√m
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Memory transfer
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FAST SLOW
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m=10
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m=50
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m=100
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√Nlog(1/qs)
qs√N
√N√m
1/qsm/qs
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FAST SLOW
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The cascade model
1/ ~Signal Noise t N
Fusi, Drew, Abbott, Neuron (2005)StrongWeak
……
~Memory lifetime N
METAPLASTICITY
PLASTICITY
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1/n
2n-1
n=number of levels in the cascadeInitial signal/noise
Sign
al/N
oise
Power law range
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Important ingredients
• Multiple timescales• Efficient forms of interactions to transfer
memories
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Alex Roxin
Larry AbbottPatrick Drew
Collaborators
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q=0.1
q=0.01
q=0.001
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q=0.1
q=0.01
q=0.001
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q=0.1
q=0.8
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Bounded synapses RANGE=1
Bounded synapses RANGE=10, balanced
Bounded synapses, any RANGE, imbalanced
Unrealistic unbounded synapses (~
N)
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Unrealistic unbounded synapses (~
N)
Bounded synapses RANGE=10, balanced
Bounded synapses, any RANGE, imbalancedSoft bounds synapses RANGE=10
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Homogeneousq=0.1
Homogeneousq=0.6
Heterogeneous
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q=0.1
q=0.8