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src/mlx_neuromorphic.erl

-module(mlx_neuromorphic).
%% Neuromorphic Computing and Spiking Neural Networks
-export([
%% Spiking Neural Networks
spiking_neuron/2, spiking_neuron/3,
leaky_integrate_fire/3, adaptive_exponential/3,
izhikevich_neuron/4, hodgkin_huxley_neuron/5,
%% Network Construction
spiking_neural_network/2, spiking_neural_network/3,
add_spiking_layer/3, connect_neurons/4,
synaptic_plasticity/3, spike_timing_dependent_plasticity/4,
%% Temporal Dynamics
temporal_encoding/2, temporal_encoding/3,
spike_train_generation/3, poisson_spike_train/2,
rate_encoding/2, temporal_contrast_encoding/2,
%% Learning Algorithms
stdp_learning/4, triplet_stdp/5,
homeostatic_plasticity/3, metaplasticity/4,
reward_modulated_stdp/5, neuromodulation/4,
%% Neuromorphic Architectures
liquid_state_machine/3, echo_state_network/3,
neural_turing_machine/4, differentiable_neural_computer/4,
reservoir_computing/3, extreme_learning_machine/3,
%% Biologically Inspired Components
dendritic_computation/3, axonal_delays/3,
neural_oscillations/3, population_dynamics/3,
cortical_columns/4, brain_inspired_attention/4,
%% Event-Driven Processing
event_driven_simulation/3, asynchronous_processing/3,
spike_based_convolution/4, temporal_pooling/3,
%% Neuromorphic Hardware Emulation
memristor_crossbar/3, memristor_crossbar/4,
analog_computing/3, mixed_signal_processing/4,
%% Advanced Neuromorphic Concepts
neural_engineering_framework/4,
semantic_pointer_architecture/3,
hierarchical_temporal_memory/4,
predictive_coding/4,
%% Multi-Scale Neural Modeling
molecular_dynamics/4, synaptic_vesicle_dynamics/3,
ion_channel_modeling/4, neural_field_theory/4,
%% Cognitive Architectures
cognitive_map/3, spatial_navigation/4,
episodic_memory/4, working_memory_model/4,
attention_gating/4, executive_control/4
]).
-record(spiking_neuron, {
id,
type,
parameters = #{},
state = #{},
connections = [],
spike_history = [],
last_spike_time = -1
}).
-record(synapse, {
pre_neuron,
post_neuron,
weight,
delay,
plasticity_rule,
trace_variables = #{}
}).
-record(spike, {
neuron_id,
timestamp,
amplitude = 1.0,
metadata = #{}
}).
%% Spiking Neural Networks
spiking_neuron(Type, Parameters) ->
spiking_neuron(Type, Parameters, #{}).
spiking_neuron(Type, Parameters, Options) ->
% Create spiking neuron with specified dynamics
NeuronId = maps:get(id, Options, make_ref()),
InitialState = initialize_neuron_state(Type, Parameters),
Neuron = #spiking_neuron{
id = NeuronId,
type = Type,
parameters = Parameters,
state = InitialState
},
{ok, Neuron}.
leaky_integrate_fire(Neuron, Input, Dt) ->
% Leaky Integrate-and-Fire neuron model
#{v_membrane := V,
v_threshold := VTh,
v_reset := VReset,
tau_m := TauM,
r_membrane := RM} = Neuron#spiking_neuron.parameters,
CurrentV = maps:get(v_membrane, Neuron#spiking_neuron.state, VReset),
% Membrane voltage dynamics: tau_m * dV/dt = -(V - V_rest) + R_m * I
DV = Dt / TauM * (-(CurrentV - VReset) + RM * Input),
NewV = CurrentV + DV,
% Check for spike
case NewV >= VTh of
true ->
% Generate spike and reset
Spike = #spike{
neuron_id = Neuron#spiking_neuron.id,
timestamp = erlang:system_time(microsecond)
},
NewState = maps:put(v_membrane, VReset, Neuron#spiking_neuron.state),
UpdatedNeuron = Neuron#spiking_neuron{
state = NewState,
spike_history = [Spike | Neuron#spiking_neuron.spike_history],
last_spike_time = Spike#spike.timestamp
},
{spike, Spike, UpdatedNeuron};
false ->
% Update membrane voltage
NewState = maps:put(v_membrane, NewV, Neuron#spiking_neuron.state),
UpdatedNeuron = Neuron#spiking_neuron{state = NewState},
{no_spike, UpdatedNeuron}
end.
adaptive_exponential(Neuron, Input, Dt) ->
% Adaptive Exponential Integrate-and-Fire model
#{v_membrane := V,
w_adaptation := W,
v_threshold := VTh,
delta_t := DeltaT,
tau_m := TauM,
tau_w := TauW,
a := A,
b := B} = Neuron#spiking_neuron.parameters,
State = Neuron#spiking_neuron.state,
CurrentV = maps:get(v_membrane, State, -70.0),
CurrentW = maps:get(w_adaptation, State, 0.0),
% Membrane voltage dynamics with exponential term
ExpTerm = DeltaT * math:exp((CurrentV - VTh) / DeltaT),
DV = Dt / TauM * (-CurrentV + ExpTerm - CurrentW + Input),
DW = Dt / TauW * (A * CurrentV - CurrentW),
NewV = CurrentV + DV,
NewW = CurrentW + DW,
% Spike detection
case NewV >= VTh of
true ->
Spike = #spike{
neuron_id = Neuron#spiking_neuron.id,
timestamp = erlang:system_time(microsecond)
},
% Reset with adaptation
ResetV = maps:get(v_reset, Neuron#spiking_neuron.parameters, -70.0),
AdaptedW = NewW + B,
NewState = maps:merge(State, #{
v_membrane => ResetV,
w_adaptation => AdaptedW
}),
UpdatedNeuron = Neuron#spiking_neuron{
state = NewState,
spike_history = [Spike | Neuron#spiking_neuron.spike_history],
last_spike_time = Spike#spike.timestamp
},
{spike, Spike, UpdatedNeuron};
false ->
NewState = maps:merge(State, #{
v_membrane => NewV,
w_adaptation => NewW
}),
UpdatedNeuron = Neuron#spiking_neuron{state = NewState},
{no_spike, UpdatedNeuron}
end.
izhikevich_neuron(Neuron, Input, Dt, Parameters) ->
% Izhikevich neuron model (simple model of spiking neurons)
#{a := A, b := B, c := C, d := D} = Parameters,
State = Neuron#spiking_neuron.state,
V = maps:get(v_membrane, State, -70.0),
U = maps:get(u_recovery, State, 0.0),
% Izhikevich equations
DV = Dt * (0.04 * V * V + 5 * V + 140 - U + Input),
DU = Dt * A * (B * V - U),
NewV = V + DV,
NewU = U + DU,
% Spike and reset
case NewV >= 30.0 of
true ->
Spike = #spike{
neuron_id = Neuron#spiking_neuron.id,
timestamp = erlang:system_time(microsecond)
},
NewState = maps:merge(State, #{
v_membrane => C,
u_recovery => NewU + D
}),
UpdatedNeuron = Neuron#spiking_neuron{
state = NewState,
spike_history = [Spike | Neuron#spiking_neuron.spike_history],
last_spike_time = Spike#spike.timestamp
},
{spike, Spike, UpdatedNeuron};
false ->
NewState = maps:merge(State, #{
v_membrane => NewV,
u_recovery => NewU
}),
UpdatedNeuron = Neuron#spiking_neuron{state = NewState},
{no_spike, UpdatedNeuron}
end.
hodgkin_huxley_neuron(Neuron, Input, Dt, Temperature, IonChannels) ->
% Hodgkin-Huxley model with detailed ion channel dynamics
State = Neuron#spiking_neuron.state,
V = maps:get(v_membrane, State, -65.0),
% Get gating variables
M = maps:get(m_sodium, State, 0.05),
H = maps:get(h_sodium, State, 0.6),
N = maps:get(n_potassium, State, 0.32),
% Temperature factor
TempFactor = math:pow(3.0, (Temperature - 6.3) / 10.0),
% Rate constants (voltage-dependent)
AlphaM = 0.1 * (V + 40.0) / (1.0 - math:exp(-(V + 40.0) / 10.0)),
BetaM = 4.0 * math:exp(-(V + 65.0) / 18.0),
AlphaH = 0.07 * math:exp(-(V + 65.0) / 20.0),
BetaH = 1.0 / (1.0 + math:exp(-(V + 35.0) / 10.0)),
AlphaN = 0.01 * (V + 55.0) / (1.0 - math:exp(-(V + 55.0) / 10.0)),
BetaN = 0.125 * math:exp(-(V + 65.0) / 80.0),
% Apply temperature scaling
AlphaMT = AlphaM * TempFactor,
BetaMT = BetaM * TempFactor,
AlphaHT = AlphaH * TempFactor,
BetaHT = BetaH * TempFactor,
AlphaNT = AlphaN * TempFactor,
BetaNT = BetaN * TempFactor,
% Update gating variables
DM = Dt * (AlphaMT * (1 - M) - BetaMT * M),
DH = Dt * (AlphaHT * (1 - H) - BetaHT * H),
DN = Dt * (AlphaNT * (1 - N) - BetaNT * N),
NewM = M + DM,
NewH = H + DH,
NewN = N + DN,
% Ion channel conductances
GNa = maps:get(g_sodium, IonChannels, 120.0),
GK = maps:get(g_potassium, IonChannels, 36.0),
GL = maps:get(g_leak, IonChannels, 0.3),
% Reversal potentials
ENa = maps:get(e_sodium, IonChannels, 50.0),
EK = maps:get(e_potassium, IonChannels, -77.0),
EL = maps:get(e_leak, IonChannels, -54.4),
% Ion currents
INa = GNa * NewM * NewM * NewM * NewH * (V - ENa),
IK = GK * NewN * NewN * NewN * NewN * (V - EK),
IL = GL * (V - EL),
% Membrane capacitance
Cm = maps:get(capacitance, IonChannels, 1.0),
% Membrane voltage dynamics
DV = Dt / Cm * (Input - INa - IK - IL),
NewV = V + DV,
% Update state
NewState = maps:merge(State, #{
v_membrane => NewV,
m_sodium => NewM,
h_sodium => NewH,
n_potassium => NewN
}),
UpdatedNeuron = Neuron#spiking_neuron{state = NewState},
% Spike detection (simple threshold)
case NewV > 0.0 andalso V =< 0.0 of
true ->
Spike = #spike{
neuron_id = Neuron#spiking_neuron.id,
timestamp = erlang:system_time(microsecond)
},
{spike, Spike, UpdatedNeuron};
false ->
{no_spike, UpdatedNeuron}
end.
%% Network Construction
spiking_neural_network(NetworkTopology, NeuronTypes) ->
spiking_neural_network(NetworkTopology, NeuronTypes, #{}).
spiking_neural_network(NetworkTopology, NeuronTypes, Options) ->
% Create spiking neural network
PlasticityRules = maps:get(plasticity_rules, Options, [stdp]),
TimeConstant = maps:get(time_constant, Options, 1.0),
% Create neurons according to topology
Neurons = create_neurons_from_topology(NetworkTopology, NeuronTypes),
% Create synaptic connections
Synapses = create_synaptic_connections(NetworkTopology, PlasticityRules),
Network = #{
neurons => Neurons,
synapses => Synapses,
topology => NetworkTopology,
time_constant => TimeConstant,
current_time => 0.0
},
{ok, Network}.
add_spiking_layer(Network, LayerConfig, PlasticityConfig) ->
% Add new spiking layer to existing network
LayerNeurons = create_layer_neurons(LayerConfig),
LayerSynapses = create_layer_synapses(LayerConfig, PlasticityConfig),
UpdatedNeurons = maps:merge(maps:get(neurons, Network), LayerNeurons),
UpdatedSynapses = maps:get(synapses, Network) ++ LayerSynapses,
UpdatedNetwork = maps:merge(Network, #{
neurons => UpdatedNeurons,
synapses => UpdatedSynapses
}),
{ok, UpdatedNetwork}.
%% Temporal Dynamics
temporal_encoding(Data, EncodingScheme) ->
temporal_encoding(Data, EncodingScheme, #{}).
temporal_encoding(Data, EncodingScheme, Options) ->
% Convert data to temporal spike patterns
case EncodingScheme of
rate_coding ->
rate_encoding(Data, Options);
temporal_contrast ->
temporal_contrast_encoding(Data, Options);
phase_coding ->
phase_encoding(Data, Options);
rank_order ->
rank_order_encoding(Data, Options);
population_vector ->
population_vector_encoding(Data, Options)
end.
spike_train_generation(Pattern, Duration, Options) ->
% Generate spike trains according to specified patterns
Pattern_type = maps:get(pattern_type, Options, regular),
NoiseLevel = maps:get(noise_level, Options, 0.0),
case Pattern_type of
regular ->
generate_regular_spike_train(Pattern, Duration, NoiseLevel);
poisson ->
poisson_spike_train(Pattern, Duration);
gamma ->
generate_gamma_spike_train(Pattern, Duration, Options);
burst ->
generate_burst_spike_train(Pattern, Duration, Options)
end.
poisson_spike_train(Rate, Duration) ->
% Generate Poisson spike train
Dt = 0.001, % 1ms resolution
NumSteps = round(Duration / Dt),
SpikeProb = Rate * Dt,
Spikes = lists:foldl(fun(Step, Acc) ->
case rand:uniform() < SpikeProb of
true ->
Timestamp = Step * Dt,
Spike = #spike{
neuron_id = poisson_generator,
timestamp = Timestamp
},
[Spike | Acc];
false ->
Acc
end
end, [], lists:seq(0, NumSteps - 1)),
{ok, lists:reverse(Spikes)}.
%% Learning Algorithms
stdp_learning(PreSpike, PostSpike, Synapse, LearningRate) ->
% Spike-Timing Dependent Plasticity
TimeDiff = PostSpike#spike.timestamp - PreSpike#spike.timestamp,
% STDP window parameters
TauPlus = 20.0, % ms
TauMinus = 20.0, % ms
APlus = 1.0,
AMinus = -0.5,
WeightChange = case TimeDiff > 0 of
true ->
% Post before pre: potentiation
APlus * math:exp(-TimeDiff / TauPlus);
false ->
% Pre before post: depression
AMinus * math:exp(TimeDiff / TauMinus)
end,
CurrentWeight = Synapse#synapse.weight,
NewWeight = CurrentWeight + LearningRate * WeightChange,
% Apply weight bounds
BoundedWeight = erlang:max(0.0, erlang:min(1.0, NewWeight)),
UpdatedSynapse = Synapse#synapse{weight = BoundedWeight},
{ok, UpdatedSynapse}.
triplet_stdp(PreSpike, PostSpike, Synapse, LearningRate, TripletParams) ->
% Triplet STDP rule for more realistic plasticity
#{tau_plus := TauPlus,
tau_minus := TauMinus,
tau_x := TauX,
tau_y := TauY,
a2_plus := A2Plus,
a2_minus := A2Minus,
a3_plus := A3Plus,
a3_minus := A3Minus} = TripletParams,
% Get trace variables from synapse
Traces = Synapse#synapse.trace_variables,
R1 = maps:get(r1, Traces, 0.0),
R2 = maps:get(r2, Traces, 0.0),
O1 = maps:get(o1, Traces, 0.0),
O2 = maps:get(o2, Traces, 0.0),
TimeDiff = PostSpike#spike.timestamp - PreSpike#spike.timestamp,
% Compute weight change based on triplet interactions
WeightChange = case TimeDiff > 0 of
true ->
% Potentiation
A2Plus * R1 + A3Plus * R2 * O1;
false ->
% Depression
A2Minus * O1 + A3Minus * R1 * O2
end,
CurrentWeight = Synapse#synapse.weight,
NewWeight = CurrentWeight + LearningRate * WeightChange,
BoundedWeight = erlang:max(0.0, erlang:min(1.0, NewWeight)),
% Update trace variables
NewR1 = R1 * math:exp(-abs(TimeDiff) / TauPlus) + 1.0,
NewR2 = R2 * math:exp(-abs(TimeDiff) / TauX) + 1.0,
NewO1 = O1 * math:exp(-abs(TimeDiff) / TauMinus) + 1.0,
NewO2 = O2 * math:exp(-abs(TimeDiff) / TauY) + 1.0,
UpdatedTraces = maps:merge(Traces, #{
r1 => NewR1,
r2 => NewR2,
o1 => NewO1,
o2 => NewO2
}),
UpdatedSynapse = Synapse#synapse{
weight = BoundedWeight,
trace_variables = UpdatedTraces
},
{ok, UpdatedSynapse}.
%% Neuromorphic Architectures
liquid_state_machine(InputSpikes, ReservoirConfig, ReadoutConfig) ->
% Liquid State Machine implementation
ReservoirSize = maps:get(size, ReservoirConfig, 100),
Connectivity = maps:get(connectivity, ReservoirConfig, 0.1),
% Create reservoir
{ok, Reservoir} = create_random_reservoir(ReservoirSize, Connectivity),
% Inject input spikes
{ok, ReservoirStates} = simulate_reservoir_dynamics(InputSpikes, Reservoir),
% Train readout
{ok, Readout} = train_reservoir_readout(ReservoirStates, ReadoutConfig),
{ok, {Reservoir, Readout}}.
echo_state_network(InputData, ReservoirConfig, OutputTargets) ->
% Echo State Network with spiking neurons
ReservoirSize = maps:get(size, ReservoirConfig, 200),
SpectralRadius = maps:get(spectral_radius, ReservoirConfig, 0.9),
% Create echo state reservoir
{ok, Reservoir} = create_echo_state_reservoir(ReservoirSize, SpectralRadius),
% Process input through reservoir
{ok, ReservoirOutputs} = process_through_reservoir(InputData, Reservoir),
% Train linear readout
{ok, ReadoutWeights} = train_linear_readout(ReservoirOutputs, OutputTargets),
{ok, {Reservoir, ReadoutWeights}}.
%% Advanced Neuromorphic Concepts
neural_engineering_framework(FunctionToDecode, NeuralPopulation, DecodingWeights, EncodingTransform) ->
% Neural Engineering Framework for population-level computation
% Encode input using neural population
{ok, PopulationActivity} = encode_with_population(FunctionToDecode, NeuralPopulation, EncodingTransform),
% Decode function from population activity
{ok, DecodedFunction} = decode_from_population(PopulationActivity, DecodingWeights),
% Compute representation error
RepresentationError = compute_representation_error(FunctionToDecode, DecodedFunction),
{ok, {DecodedFunction, RepresentationError}}.
semantic_pointer_architecture(ConceptVectors, BindingOperations, UnbindingOperations) ->
% Semantic Pointer Architecture for symbolic computation in neural networks
% Initialize semantic pointers
SemanticPointers = initialize_semantic_pointers(ConceptVectors),
% Perform binding operations
BoundPointers = apply_binding_operations(SemanticPointers, BindingOperations),
% Perform unbinding operations
UnboundPointers = apply_unbinding_operations(BoundPointers, UnbindingOperations),
{ok, {SemanticPointers, BoundPointers, UnboundPointers}}.
hierarchical_temporal_memory(SpatialPooler, TemporalMemory, InputData, LearningConfig) ->
% Hierarchical Temporal Memory implementation
% Spatial pooling
{ok, SparseRepresentation} = spatial_pooling(InputData, SpatialPooler),
% Temporal memory
{ok, PredictiveState} = temporal_memory_processing(SparseRepresentation, TemporalMemory),
% Learning and adaptation
{ok, UpdatedHTM} = htm_learning(SpatialPooler, TemporalMemory, LearningConfig),
{ok, {PredictiveState, UpdatedHTM}}.
predictive_coding(PriorBelief, SensoryInput, PredictionError, HierarchicalLevels) ->
% Predictive coding framework for hierarchical neural processing
% Generate predictions from prior beliefs
{ok, Predictions} = generate_hierarchical_predictions(PriorBelief, HierarchicalLevels),
% Compute prediction errors
{ok, PredictionErrors} = compute_prediction_errors(Predictions, SensoryInput),
% Update beliefs based on prediction errors
{ok, UpdatedBeliefs} = update_beliefs_from_errors(PriorBelief, PredictionErrors),
% Propagate errors up the hierarchy
{ok, HierarchicalErrors} = propagate_errors_hierarchically(PredictionErrors, HierarchicalLevels),
{ok, {UpdatedBeliefs, HierarchicalErrors}}.
%% Helper functions (simplified implementations)
initialize_neuron_state(lif, Parameters) ->
VReset = maps:get(v_reset, Parameters, -70.0),
#{v_membrane => VReset};
initialize_neuron_state(adaptive_exp, Parameters) ->
VReset = maps:get(v_reset, Parameters, -70.0),
#{v_membrane => VReset, w_adaptation => 0.0};
initialize_neuron_state(izhikevich, _Parameters) ->
#{v_membrane => -70.0, u_recovery => 0.0};
initialize_neuron_state(hodgkin_huxley, _Parameters) ->
#{v_membrane => -65.0, m_sodium => 0.05, h_sodium => 0.6, n_potassium => 0.32}.
create_neurons_from_topology(_NetworkTopology, _NeuronTypes) ->
#{}.
create_synaptic_connections(_NetworkTopology, _PlasticityRules) ->
[].
create_layer_neurons(_LayerConfig) ->
#{}.
create_layer_synapses(_LayerConfig, _PlasticityConfig) ->
[].
rate_encoding(Data, _Options) ->
% Convert data values to spike rates
{ok, Data}.
temporal_contrast_encoding(Data, _Options) ->
% Encode temporal contrasts as spike patterns
{ok, Data}.
phase_encoding(Data, _Options) ->
% Phase encoding implementation
{ok, Data}.
rank_order_encoding(Data, _Options) ->
% Rank order encoding implementation
{ok, Data}.
population_vector_encoding(Data, _Options) ->
% Population vector encoding implementation
{ok, Data}.
generate_regular_spike_train(_Pattern, _Duration, _NoiseLevel) ->
{ok, []}.
generate_gamma_spike_train(_Pattern, _Duration, _Options) ->
{ok, []}.
generate_burst_spike_train(_Pattern, _Duration, _Options) ->
{ok, []}.
% Additional helper functions would be implemented here...
create_random_reservoir(_ReservoirSize, _Connectivity) -> {ok, #{}}.
simulate_reservoir_dynamics(_InputSpikes, _Reservoir) -> {ok, []}.
train_reservoir_readout(_ReservoirStates, _ReadoutConfig) -> {ok, #{}}.
create_echo_state_reservoir(_ReservoirSize, _SpectralRadius) -> {ok, #{}}.
process_through_reservoir(_InputData, _Reservoir) -> {ok, []}.
train_linear_readout(_ReservoirOutputs, _OutputTargets) -> {ok, #{}}.
encode_with_population(_FunctionToDecode, _NeuralPopulation, _EncodingTransform) -> {ok, []}.
decode_from_population(_PopulationActivity, _DecodingWeights) -> {ok, #{}}.
compute_representation_error(_FunctionToDecode, _DecodedFunction) -> 0.0.
initialize_semantic_pointers(_ConceptVectors) -> #{}.
apply_binding_operations(_SemanticPointers, _BindingOperations) -> #{}.
apply_unbinding_operations(_BoundPointers, _UnbindingOperations) -> #{}.
spatial_pooling(_InputData, _SpatialPooler) -> {ok, []}.
temporal_memory_processing(_SparseRepresentation, _TemporalMemory) -> {ok, #{}}.
htm_learning(_SpatialPooler, _TemporalMemory, _LearningConfig) -> {ok, #{}}.
generate_hierarchical_predictions(_PriorBelief, _HierarchicalLevels) -> {ok, []}.
compute_prediction_errors(_Predictions, _SensoryInput) -> {ok, []}.
update_beliefs_from_errors(_PriorBelief, _PredictionErrors) -> {ok, #{}}.
propagate_errors_hierarchically(_PredictionErrors, _HierarchicalLevels) -> {ok, []}.
%% Stub implementations for all other exported functions
connect_neurons(_PreNeuron, _PostNeuron, _Weight, _PlasticityRule) ->
{error, not_implemented}.
synaptic_plasticity(_Synapse, _Activity, _LearningRule) ->
{error, not_implemented}.
spike_timing_dependent_plasticity(_PreSpike, _PostSpike, _Synapse, _Parameters) ->
{error, not_implemented}.
homeostatic_plasticity(_Network, _TargetActivity, _TimeWindow) ->
{error, not_implemented}.
metaplasticity(_Synapse, _ActivityHistory, _MetaplasticityRule, _Parameters) ->
{error, not_implemented}.
reward_modulated_stdp(_PreSpike, _PostSpike, _Synapse, _RewardSignal, _Parameters) ->
{error, not_implemented}.
neuromodulation(_Network, _ModulatorType, _ConcentrationLevel, _TargetRegions) ->
{error, not_implemented}.
neural_turing_machine(_Controller, _Memory, _ReadHeads, _WriteHeads) ->
{error, not_implemented}.
differentiable_neural_computer(_Controller, _Memory, _ReadHeads, _WriteHeads) ->
{error, not_implemented}.
reservoir_computing(_InputData, _ReservoirConfig, _ReadoutConfig) ->
{error, not_implemented}.
extreme_learning_machine(_InputData, _HiddenNodes, _ActivationFunction) ->
{error, not_implemented}.
dendritic_computation(_DendriticTree, _InputSpikes, _ComputationRule) ->
{error, not_implemented}.
axonal_delays(_SourceNeuron, _TargetNeurons, _DelayDistribution) ->
{error, not_implemented}.
neural_oscillations(_NetworkRegion, _OscillationType, _FrequencyBand) ->
{error, not_implemented}.
population_dynamics(_NeuralPopulation, _ConnectivityMatrix, _DynamicsModel) ->
{error, not_implemented}.
cortical_columns(_LayerStructure, _MinicolumnConfig, _IntercolumnConnections, _FunctionalModules) ->
{error, not_implemented}.
brain_inspired_attention(_InputStreams, _AttentionMechanism, _SaliencyMap, _TopDownControl) ->
{error, not_implemented}.
event_driven_simulation(_Events, _Network, _SimulationParameters) ->
{error, not_implemented}.
asynchronous_processing(_InputEvents, _ProcessingUnits, _SynchronizationStrategy) ->
{error, not_implemented}.
spike_based_convolution(_InputSpikes, _ConvolutionKernel, _StrideConfig, _PoolingConfig) ->
{error, not_implemented}.
temporal_pooling(_SpikeTrains, _PoolingWindow, _PoolingStrategy) ->
{error, not_implemented}.
memristor_crossbar(_InputVoltages, _MemristorMatrix, _ReadoutStrategy) ->
{error, not_implemented}.
memristor_crossbar(_InputVoltages, _MemristorMatrix, _ReadoutStrategy, _PlasticityUpdate) ->
{error, not_implemented}.
analog_computing(_AnalogInputs, _AnalogCircuit, _NoiseModel) ->
{error, not_implemented}.
mixed_signal_processing(_DigitalInputs, _AnalogInputs, _SignalProcessor, _ConversionStrategy) ->
{error, not_implemented}.
molecular_dynamics(_MolecularSystem, _ForceField, _IntegrationMethod, _TimeStep) ->
{error, not_implemented}.
synaptic_vesicle_dynamics(_PresynapticTerminal, _VesiclePool, _ReleaseParameters) ->
{error, not_implemented}.
ion_channel_modeling(_ChannelType, _VoltageProfile, _ChannelKinetics, _ModulationFactors) ->
{error, not_implemented}.
neural_field_theory(_SpatialDomain, _FieldEquations, _ConnectivityKernel, _InitialConditions) ->
{error, not_implemented}.
cognitive_map(_SpatialEnvironment, _PlaceCells, _GridCells) ->
{error, not_implemented}.
spatial_navigation(_Environment, _NavigationStrategy, _PathPlanning, _LocalizationMethod) ->
{error, not_implemented}.
episodic_memory(_Events, _MemoryTrace, _RetrievalCues, _ConsolidationProcess) ->
{error, not_implemented}.
working_memory_model(_StimulusSet, _MaintenanceMechanism, _ManipulationOperations, _DecayFunction) ->
{error, not_implemented}.
attention_gating(_InputChannels, _AttentionWeights, _GatingThreshold, _CompetitionMechanism) ->
{error, not_implemented}.
executive_control(_GoalState, _ControlPolicies, _ConflictMonitoring, _CognitiveFlexibility) ->
{error, not_implemented}.