defmodule OORL.CollectiveLearning do @moduledoc """ Collective learning implementation for OORL framework enabling emergent group intelligence through distributed coordination and knowledge sharing. Provides mechanisms for: - Coalition formation and management - Distributed knowledge aggregation - Emergent collective intelligence - Byzantine fault tolerance in learning networks """ @type t :: %__MODULE__{ coalition_id: coalition_id() | nil, member_objects: MapSet.t() | nil, knowledge_graph: map() | nil, consensus_algorithm: atom() | nil, trust_network: map() | nil, collective_memory: map() | nil, emergence_detector: pid() | nil, performance_metrics: map() | nil, byzantine_tolerance: float() | nil, communication_protocols: list() | nil } defstruct [ :coalition_id, :member_objects, :knowledge_graph, :consensus_algorithm, :trust_network, :collective_memory, :emergence_detector, :performance_metrics, :byzantine_tolerance, :communication_protocols ] @type coalition_id :: String.t() @type object_id :: String.t() @type knowledge_item :: %{ source: object_id(), content: any(), confidence: float(), timestamp: DateTime.t(), validation_count: integer() } @doc """ Creates a new collective learning coalition. ## Parameters - `coalition_id`: Unique identifier for the coalition - `initial_members`: List of object IDs to include - `opts`: Configuration options ## Returns `%OORL.CollectiveLearning{}` struct """ def new(coalition_id, initial_members \\ [], opts \\ []) do %OORL.CollectiveLearning{ coalition_id: coalition_id, member_objects: MapSet.new(initial_members), knowledge_graph: initialize_knowledge_graph(), consensus_algorithm: Keyword.get(opts, :consensus_algorithm, :byzantine_consensus), trust_network: initialize_trust_network(initial_members), collective_memory: [], emergence_detector: initialize_emergence_detector(opts), performance_metrics: %{ learning_rate: 0.0, consensus_time: 0.0, knowledge_quality: 0.0, emergence_score: 0.0 }, byzantine_tolerance: Keyword.get(opts, :byzantine_tolerance, true), communication_protocols: initialize_communication_protocols(opts) } end @doc """ Adds knowledge from an object to the collective learning system. ## Parameters - `collective`: Current collective learning state - `source_object_id`: ID of the contributing object - `knowledge`: Knowledge item to add - `validation_options`: Options for knowledge validation ## Returns Updated collective learning state """ def add_knowledge(collective, source_object_id, knowledge, validation_options \\ %{}) do if MapSet.member?(collective.member_objects, source_object_id) do # Validate knowledge item case validate_knowledge(knowledge, collective.trust_network, validation_options) do {:ok, validated_knowledge} -> # Add to knowledge graph updated_graph = add_to_knowledge_graph( collective.knowledge_graph, source_object_id, validated_knowledge ) # Update collective memory memory_item = create_memory_item(source_object_id, validated_knowledge) updated_memory = [memory_item | Enum.take(collective.collective_memory, 999)] # Update trust scores based on knowledge quality updated_trust = update_trust_scores( collective.trust_network, source_object_id, validated_knowledge ) %{collective | knowledge_graph: updated_graph, collective_memory: updated_memory, trust_network: updated_trust } {:error, _reason} -> # Knowledge failed validation, update trust negatively updated_trust = penalize_trust(collective.trust_network, source_object_id) %{collective | trust_network: updated_trust} end else collective # Object not in coalition end end @doc """ Performs distributed consensus on a proposition across coalition members. ## Parameters - `collective`: Current collective learning state - `proposition`: Proposition to reach consensus on - `timeout_ms`: Maximum time to wait for consensus ## Returns `{:ok, consensus_result}` or `{:error, reason}` """ def reach_consensus(collective, proposition, timeout_ms \\ 5000) do case collective.consensus_algorithm do :byzantine_consensus -> byzantine_consensus(collective, proposition, timeout_ms) :practical_byzantine_ft -> practical_byzantine_consensus(collective, proposition, timeout_ms) :raft_consensus -> raft_consensus(collective, proposition, timeout_ms) :simple_majority -> simple_majority_consensus(collective, proposition, timeout_ms) _ -> {:error, :unknown_consensus_algorithm} end end @doc """ Detects and analyzes emergent collective intelligence phenomena. ## Parameters - `collective`: Current collective learning state - `observation_window`: Time window for analysis ## Returns `{:ok, emergence_analysis}` with detected emergent behaviors """ def analyze_emergence(collective, observation_window \\ 3600) do recent_knowledge = filter_recent_knowledge(collective.collective_memory, observation_window) emergence_indicators = %{ knowledge_synthesis: detect_knowledge_synthesis(recent_knowledge), novel_solutions: detect_novel_solutions(recent_knowledge, collective.knowledge_graph), collective_reasoning: detect_collective_reasoning_patterns(recent_knowledge), distributed_coordination: analyze_coordination_patterns(collective), intelligence_amplification: measure_intelligence_amplification(collective) } emergence_score = calculate_emergence_score(emergence_indicators) emergence_analysis = %{ emergence_score: emergence_score, indicators: emergence_indicators, classification: classify_emergence_type(emergence_indicators), collective_intelligence_detected: emergence_score > 0.7, member_count: MapSet.size(collective.member_objects), observation_period: observation_window } {:ok, emergence_analysis} end @doc """ Optimizes collective learning performance through meta-learning. ## Parameters - `collective`: Current collective learning state - `performance_feedback`: Recent performance metrics - `optimization_strategy`: Strategy for optimization ## Returns Optimized collective learning configuration """ def optimize_collective_performance(collective, performance_feedback, optimization_strategy \\ :adaptive) do case optimization_strategy do :adaptive -> adaptive_optimization(collective, performance_feedback) :evolutionary -> evolutionary_optimization(collective, performance_feedback) :gradient_based -> gradient_based_optimization(collective, performance_feedback) _ -> collective end end @doc """ Manages coalition membership with dynamic joining and leaving. ## Parameters - `collective`: Current collective learning state - `action`: :join or :leave - `object_id`: Object to add or remove - `credentials`: Trust credentials for joining objects ## Returns Updated collective with modified membership """ def manage_membership(collective, action, object_id, credentials \\ %{}) def manage_membership(collective, :join, object_id, credentials) do if validate_join_credentials(credentials, collective.trust_network) do updated_members = MapSet.put(collective.member_objects, object_id) updated_trust = initialize_object_trust(collective.trust_network, object_id) %{collective | member_objects: updated_members, trust_network: updated_trust } else collective end end def manage_membership(collective, :leave, object_id, _credentials) do updated_members = MapSet.delete(collective.member_objects, object_id) updated_trust = remove_object_trust(collective.trust_network, object_id) %{collective | member_objects: updated_members, trust_network: updated_trust } end # Private implementation functions defp initialize_knowledge_graph do %{ nodes: %{}, edges: %{}, metadata: %{ created_at: DateTime.utc_now(), version: "1.0", node_count: 0, edge_count: 0 } } end defp initialize_trust_network(initial_members) do base_trust = 0.5 # Neutral trust score trust_scores = Enum.reduce(initial_members, %{}, fn member_id, acc -> Map.put(acc, member_id, base_trust) end) %{ trust_scores: trust_scores, interaction_history: %{}, reputation_decay: 0.01, trust_threshold: 0.3 } end defp initialize_emergence_detector(opts) do %{ enabled: Keyword.get(opts, :emergence_detection, true), detection_algorithms: [:pattern_recognition, :novelty_detection, :complexity_analysis], thresholds: %{ emergence_score: 0.7, novelty_threshold: 0.6, complexity_threshold: 0.8 }, observation_window: Keyword.get(opts, :observation_window, 3600) } end defp initialize_communication_protocols(opts) do %{ message_protocol: Keyword.get(opts, :message_protocol, :asynchronous), reliability_level: Keyword.get(opts, :reliability, :at_least_once), encryption_enabled: Keyword.get(opts, :encryption, false), compression_enabled: Keyword.get(opts, :compression, true) } end defp validate_knowledge(knowledge, trust_network, _options) do # Simple validation based on source trust and content structure source_trust = get_trust_score(trust_network, knowledge[:source]) if source_trust > trust_network.trust_threshold do validated_knowledge = Map.merge(knowledge, %{ validation_score: source_trust, validated_at: DateTime.utc_now() }) {:ok, validated_knowledge} else {:error, :insufficient_trust} end end defp add_to_knowledge_graph(graph, source_id, knowledge) do node_id = generate_knowledge_node_id(source_id, knowledge) new_node = %{ id: node_id, source: source_id, content: knowledge, created_at: DateTime.utc_now(), access_count: 0 } updated_nodes = Map.put(graph.nodes, node_id, new_node) # Create edges to related knowledge related_edges = find_related_knowledge_edges(graph.nodes, new_node) updated_edges = Map.merge(graph.edges, related_edges) %{graph | nodes: updated_nodes, edges: updated_edges, metadata: update_graph_metadata(graph.metadata, 1, length(Map.keys(related_edges))) } end defp create_memory_item(source_id, knowledge) do %{ source: source_id, knowledge: knowledge, timestamp: DateTime.utc_now(), access_count: 0, influence_score: 0.0 } end defp update_trust_scores(trust_network, source_id, knowledge) do current_trust = get_trust_score(trust_network, source_id) knowledge_quality = assess_knowledge_quality(knowledge) # Trust update based on knowledge quality trust_adjustment = 0.1 * (knowledge_quality - 0.5) new_trust = max(0.0, min(1.0, current_trust + trust_adjustment)) updated_scores = Map.put(trust_network.trust_scores, source_id, new_trust) %{trust_network | trust_scores: updated_scores} end defp penalize_trust(trust_network, source_id) do current_trust = get_trust_score(trust_network, source_id) penalty = 0.2 new_trust = max(0.0, current_trust - penalty) updated_scores = Map.put(trust_network.trust_scores, source_id, new_trust) %{trust_network | trust_scores: updated_scores} end # Consensus algorithms defp byzantine_consensus(collective, proposition, timeout_ms) do member_count = MapSet.size(collective.member_objects) if member_count < 4 do {:error, :insufficient_members_for_byzantine_consensus} else # Simulate Byzantine consensus byzantine_fault_tolerance = div(member_count - 1, 3) honest_members = member_count - byzantine_fault_tolerance # Simplified consensus simulation votes = simulate_member_votes(collective.member_objects, proposition, collective.trust_network) honest_votes = filter_trusted_votes(votes, collective.trust_network) if length(honest_votes) >= honest_members do consensus_result = aggregate_votes(honest_votes) {:ok, %{ result: consensus_result, confidence: calculate_consensus_confidence(honest_votes), participating_members: length(honest_votes), consensus_time: :rand.uniform(timeout_ms) }} else {:error, :consensus_not_reached} end end end defp practical_byzantine_consensus(collective, proposition, timeout_ms) do # Simplified PBFT simulation member_count = MapSet.size(collective.member_objects) if member_count >= 4 do # Simulate three-phase PBFT protocol prepare_phase = simulate_prepare_phase(collective, proposition) commit_phase = simulate_commit_phase(collective, prepare_phase) if commit_phase.success do {:ok, %{ result: commit_phase.result, confidence: 0.99, # High confidence for PBFT participating_members: member_count, consensus_time: :rand.uniform(timeout_ms) }} else {:error, :pbft_consensus_failed} end else {:error, :insufficient_members_for_pbft} end end defp simple_majority_consensus(collective, proposition, _timeout_ms) do votes = simulate_member_votes(collective.member_objects, proposition, collective.trust_network) positive_votes = Enum.count(votes, fn vote -> vote.decision == :accept end) total_votes = length(votes) if positive_votes > div(total_votes, 2) do {:ok, %{ result: :accepted, confidence: positive_votes / total_votes, participating_members: total_votes, consensus_time: 100 # Fast for simple majority }} else {:ok, %{ result: :rejected, confidence: (total_votes - positive_votes) / total_votes, participating_members: total_votes, consensus_time: 100 }} end end defp raft_consensus(_collective, _proposition, _timeout_ms) do # Placeholder for Raft consensus {:ok, %{result: :accepted, confidence: 0.8, participating_members: 3, consensus_time: 200}} end # Emergence detection functions defp detect_knowledge_synthesis(recent_knowledge) do # Detect patterns where knowledge from multiple sources combines synthesis_patterns = Enum.group_by(recent_knowledge, fn item -> extract_knowledge_domain(item.knowledge) end) cross_domain_synthesis = Enum.count(synthesis_patterns, fn {_domain, items} -> length(items) > 1 and has_multiple_sources(items) end) %{ synthesis_events: cross_domain_synthesis, synthesis_rate: cross_domain_synthesis / max(length(recent_knowledge), 1), domains_involved: map_size(synthesis_patterns) } end defp detect_novel_solutions(recent_knowledge, knowledge_graph) do # Detect solutions that are novel compared to existing knowledge novel_count = Enum.count(recent_knowledge, fn item -> is_novel_knowledge(item.knowledge, knowledge_graph) end) %{ novel_solutions: novel_count, novelty_rate: novel_count / max(length(recent_knowledge), 1), innovation_score: calculate_innovation_score(recent_knowledge, knowledge_graph) } end defp detect_collective_reasoning_patterns(recent_knowledge) do # Detect chains of reasoning across multiple objects reasoning_chains = find_reasoning_chains(recent_knowledge) %{ reasoning_chains: length(reasoning_chains), average_chain_length: calculate_average_chain_length(reasoning_chains), distributed_reasoning_score: calculate_distributed_reasoning_score(reasoning_chains) } end defp analyze_coordination_patterns(collective) do # Analyze how well objects coordinate their learning coordination_metrics = %{ synchronization_level: calculate_synchronization_level(collective), coordination_efficiency: calculate_coordination_efficiency(collective), distributed_decision_quality: assess_distributed_decisions(collective) } coordination_metrics end defp measure_intelligence_amplification(collective) do # Measure if collective performance exceeds sum of individual performances individual_performance = estimate_individual_performance(collective) collective_performance = estimate_collective_performance(collective) amplification_factor = if individual_performance > 0 do collective_performance / individual_performance else 1.0 end %{ amplification_factor: amplification_factor, collective_performance: collective_performance, individual_baseline: individual_performance, amplification_detected: amplification_factor > 1.2 } end defp calculate_emergence_score(indicators) do weights = %{ knowledge_synthesis: 0.25, novel_solutions: 0.25, collective_reasoning: 0.20, distributed_coordination: 0.15, intelligence_amplification: 0.15 } scores = %{ knowledge_synthesis: indicators.knowledge_synthesis.synthesis_rate, novel_solutions: indicators.novel_solutions.novelty_rate, collective_reasoning: indicators.collective_reasoning.distributed_reasoning_score, distributed_coordination: indicators.distributed_coordination.coordination_efficiency, intelligence_amplification: min(1.0, indicators.intelligence_amplification.amplification_factor / 2.0) } Enum.reduce(weights, 0.0, fn {component, weight}, acc -> acc + weight * Map.get(scores, component, 0.0) end) end defp classify_emergence_type(indicators) do cond do Map.has_key?(indicators, :intelligence_amplification) and indicators.intelligence_amplification.amplification_factor > 2.0 -> :strong_emergence Map.has_key?(indicators, :collective_reasoning) and indicators.collective_reasoning.distributed_reasoning_score > 0.8 -> :collective_intelligence Map.has_key?(indicators, :novel_solutions) and indicators.novel_solutions.innovation_score > 0.7 -> :creative_emergence Map.has_key?(indicators, :distributed_coordination) and indicators.distributed_coordination.coordination_efficiency > 0.8 -> :coordination_emergence true -> :weak_emergence end end # Utility functions (simplified implementations) defp get_trust_score(trust_network, object_id) do Map.get(trust_network.trust_scores, object_id, 0.5) end defp assess_knowledge_quality(_knowledge) do # Placeholder quality assessment 0.5 + :rand.uniform() * 0.5 end defp generate_knowledge_node_id(source_id, knowledge) do hash = :erlang.phash2({source_id, knowledge}) "knowledge_#{hash}" end defp find_related_knowledge_edges(_existing_nodes, _new_node) do # Placeholder for edge detection %{} end defp update_graph_metadata(metadata, new_nodes, new_edges) do %{metadata | node_count: metadata.node_count + new_nodes, edge_count: metadata.edge_count + new_edges } end defp simulate_member_votes(members, _proposition, trust_network) do Enum.map(members, fn member_id -> trust_score = get_trust_score(trust_network, member_id) decision = if :rand.uniform() < trust_score, do: :accept, else: :reject %{ member_id: member_id, decision: decision, trust_score: trust_score, timestamp: DateTime.utc_now() } end) end defp filter_trusted_votes(votes, trust_network) do Enum.filter(votes, fn vote -> vote.trust_score > trust_network.trust_threshold end) end defp aggregate_votes(votes) do positive_count = Enum.count(votes, fn vote -> vote.decision == :accept end) total_count = length(votes) if positive_count > div(total_count, 2), do: :accepted, else: :rejected end defp calculate_consensus_confidence(votes) do if length(votes) > 0 do avg_trust = Enum.reduce(votes, 0, fn vote, acc -> acc + vote.trust_score end) / length(votes) avg_trust else 0.0 end end defp simulate_prepare_phase(_collective, _proposition) do %{success: true, prepared: true} end defp simulate_commit_phase(_collective, prepare_result) do %{success: prepare_result.success, result: :accepted} end defp filter_recent_knowledge(memory, window_seconds) do cutoff_time = DateTime.add(DateTime.utc_now(), -window_seconds, :second) Enum.filter(memory, fn item -> DateTime.compare(item.timestamp, cutoff_time) == :gt end) end defp validate_join_credentials(_credentials, _trust_network) do # Placeholder validation true end defp initialize_object_trust(trust_network, object_id) do updated_scores = Map.put(trust_network.trust_scores, object_id, 0.5) %{trust_network | trust_scores: updated_scores} end defp remove_object_trust(trust_network, object_id) do updated_scores = Map.delete(trust_network.trust_scores, object_id) %{trust_network | trust_scores: updated_scores} end # Placeholder implementations for complex analysis functions defp extract_knowledge_domain(_knowledge), do: :general defp has_multiple_sources(items), do: length(Enum.uniq_by(items, & &1.source)) > 1 defp is_novel_knowledge(_knowledge, _graph), do: :rand.uniform() > 0.7 defp calculate_innovation_score(_recent, _graph), do: :rand.uniform() defp find_reasoning_chains(_knowledge), do: [] defp calculate_average_chain_length([]), do: 0.0 defp calculate_average_chain_length(chains), do: length(chains) / max(length(chains), 1) defp calculate_distributed_reasoning_score(_chains), do: :rand.uniform() defp calculate_synchronization_level(_collective), do: :rand.uniform() defp calculate_coordination_efficiency(_collective), do: :rand.uniform() defp assess_distributed_decisions(_collective), do: :rand.uniform() defp estimate_individual_performance(_collective), do: 0.6 defp estimate_collective_performance(_collective), do: 0.8 defp adaptive_optimization(collective, _feedback), do: collective defp evolutionary_optimization(collective, _feedback), do: collective defp gradient_based_optimization(collective, _feedback), do: collective @doc """ Performs distributed policy optimization across coalition members. Implements a distributed version of policy gradient optimization where each coalition member contributes gradients based on their local experiences. ## Parameters - `collective`: Current collective learning state ## Returns Updated collective with optimized policies """ def distributed_policy_optimization(collective) do # Collect policy gradients from each member member_gradients = collect_member_gradients(collective) # Aggregate gradients using trust-weighted averaging aggregated_gradients = aggregate_trusted_gradients(member_gradients, collective.trust_network) # Apply distributed optimization step optimized_policies = apply_gradient_updates(collective, aggregated_gradients) # Update collective performance metrics updated_metrics = update_optimization_metrics(collective.performance_metrics, optimized_policies) %{collective | performance_metrics: updated_metrics, collective_memory: record_optimization_step(collective.collective_memory, optimized_policies) } end @doc """ Forms a learning coalition from compatible objects based on learning objectives. Analyzes object compatibility and creates coalitions that maximize collective learning potential while maintaining trust and coordination efficiency. ## Parameters - `available_objects`: List of object IDs available for coalition formation - `learning_objective`: The shared learning goal for the coalition ## Returns `{:ok, collective}` with formed coalition or `{:error, reason}` """ def form_learning_coalition(available_objects, learning_objective) do # Analyze object compatibility for the learning objective compatibility_matrix = analyze_object_compatibility(available_objects, learning_objective) # Select optimal coalition members based on compatibility and diversity selected_members = select_coalition_members(compatibility_matrix, learning_objective) if length(selected_members) >= 2 do # Create coalition with selected members coalition_id = "coalition_#{:erlang.phash2(learning_objective)}_#{System.system_time(:millisecond)}" coalition_opts = [ consensus_algorithm: determine_optimal_consensus(selected_members), byzantine_tolerance: calculate_required_tolerance(selected_members), emergence_detection: true, observation_window: 1800 ] collective = new(coalition_id, selected_members, coalition_opts) # Initialize coalition with learning objective initialized_collective = initialize_learning_objective(collective, learning_objective) {:ok, initialized_collective} else {:error, :insufficient_compatible_objects} end end @doc """ Detects emergent behaviors and intelligence in the collective. Continuously monitors coalition activity to identify emergent phenomena such as novel problem-solving strategies, collective reasoning patterns, and intelligence amplification effects. ## Parameters - `collective`: Current collective learning state ## Returns `{:ok, emergence_report}` with detailed emergence analysis """ def emergence_detection(collective) do # Collect recent activity data recent_activity = collect_recent_activity(collective) # Detect various types of emergence emergence_indicators = %{ behavioral_emergence: detect_behavioral_emergence(recent_activity), cognitive_emergence: detect_cognitive_emergence(collective), social_emergence: detect_social_emergence(collective), adaptive_emergence: detect_adaptive_emergence(collective) } # Calculate overall emergence score emergence_score = calculate_comprehensive_emergence_score(emergence_indicators) # Generate emergence report emergence_report = %{ emergence_score: emergence_score, emergence_type: classify_emergence_type(emergence_indicators), indicators: emergence_indicators, detected_phenomena: identify_specific_phenomena(emergence_indicators), coalition_maturity: assess_coalition_maturity(collective), prediction_confidence: calculate_prediction_confidence(emergence_indicators), recommendations: generate_emergence_recommendations(emergence_indicators) } {:ok, emergence_report} end # Private functions for distributed policy optimization defp collect_member_gradients(collective) do Enum.map(collective.member_objects, fn member_id -> # Simulate gradient collection from each member %{ member_id: member_id, policy_gradient: simulate_policy_gradient(member_id), experience_count: :rand.uniform(100), confidence: get_trust_score(collective.trust_network, member_id) } end) end defp aggregate_trusted_gradients(gradients, trust_network) do # Weight gradients by trust scores weighted_gradients = Enum.map(gradients, fn gradient -> trust_weight = get_trust_score(trust_network, gradient.member_id) %{gradient | policy_gradient: scale_gradient(gradient.policy_gradient, trust_weight)} end) # Aggregate weighted gradients total_gradient = Enum.reduce(weighted_gradients, init_gradient(), fn gradient, acc -> combine_gradients(acc, gradient.policy_gradient) end) total_gradient end defp apply_gradient_updates(_collective, gradients) do # Apply distributed gradient updates to collective policies learning_rate = 0.01 updated_policies = %{ exploration_policy: update_exploration_policy(gradients, learning_rate), coordination_policy: update_coordination_policy(gradients, learning_rate), knowledge_sharing_policy: update_knowledge_sharing_policy(gradients, learning_rate) } updated_policies end defp update_optimization_metrics(current_metrics, _optimized_policies) do %{current_metrics | learning_rate: calculate_effective_learning_rate(current_metrics), convergence_rate: estimate_convergence_rate(current_metrics), optimization_steps: Map.get(current_metrics, :optimization_steps, 0) + 1 } end defp record_optimization_step(memory, policies) do optimization_record = %{ type: :policy_optimization, policies: policies, timestamp: DateTime.utc_now(), performance_impact: estimate_performance_impact(policies) } [optimization_record | Enum.take(memory, 999)] end # Private functions for coalition formation defp analyze_object_compatibility(objects, learning_objective) do # Create compatibility matrix for all object pairs Enum.reduce(objects, %{}, fn object_a, acc -> object_scores = Enum.reduce(objects, %{}, fn object_b, scores -> if object_a != object_b do compatibility_score = calculate_compatibility_score(object_a, object_b, learning_objective) Map.put(scores, object_b, compatibility_score) else scores end end) Map.put(acc, object_a, object_scores) end) end defp select_coalition_members(compatibility_matrix, learning_objective) do # Use greedy selection to build optimal coalition available_objects = Map.keys(compatibility_matrix) if length(available_objects) == 0 do [] else # Start with highest individual potential seed_object = select_seed_object(available_objects, learning_objective) if seed_object do selected = [seed_object] remaining = List.delete(available_objects, seed_object) # Iteratively add most compatible objects Enum.reduce_while(remaining, selected, fn candidate, current_selection -> if should_add_to_coalition(candidate, current_selection, compatibility_matrix) do {:cont, [candidate | current_selection]} else {:halt, current_selection} end end) else [] end end end defp determine_optimal_consensus(members) do member_count = length(members) cond do member_count >= 7 -> :byzantine_consensus member_count >= 4 -> :practical_byzantine_ft member_count >= 3 -> :raft_consensus true -> :simple_majority end end defp calculate_required_tolerance(members) do # Calculate Byzantine fault tolerance based on member count and trust member_count = length(members) max(0.1, min(0.5, (member_count - 1) / (3 * member_count))) end defp initialize_learning_objective(collective, learning_objective) do objective_metadata = %{ objective_type: classify_learning_objective(learning_objective), complexity_level: assess_objective_complexity(learning_objective), estimated_duration: estimate_learning_duration(learning_objective), success_criteria: define_success_criteria(learning_objective) } # collective_memory is a list, so we prepend the learning objective updated_memory = [%{type: :learning_objective, data: objective_metadata, timestamp: DateTime.utc_now()} | collective.collective_memory] %{collective | collective_memory: updated_memory} end # Private functions for emergence detection defp collect_recent_activity(collective) do # Collect activity from the last observation window observation_window = collective.emergence_detector.observation_window recent_memory = filter_recent_knowledge(collective.collective_memory, observation_window) %{ knowledge_exchanges: count_knowledge_exchanges(recent_memory), consensus_decisions: count_consensus_decisions(recent_memory), trust_updates: count_trust_updates(recent_memory), novel_solutions: count_novel_solutions(recent_memory), coordination_events: count_coordination_events(recent_memory) } end defp detect_behavioral_emergence(activity) do # Detect emergent behavioral patterns %{ novel_coordination_patterns: detect_novel_coordination(activity), adaptive_strategies: detect_adaptive_strategies(activity), emergent_roles: detect_emergent_roles(activity), behavioral_complexity: calculate_behavioral_complexity(activity) } end defp detect_cognitive_emergence(collective) do # Detect emergent cognitive capabilities %{ collective_reasoning: assess_collective_reasoning_capability(collective), distributed_problem_solving: assess_distributed_problem_solving(collective), meta_cognitive_awareness: assess_meta_cognitive_awareness(collective), knowledge_synthesis: assess_knowledge_synthesis_capability(collective) } end defp detect_social_emergence(collective) do # Detect emergent social structures and dynamics %{ social_hierarchy: detect_emergent_hierarchy(collective), communication_patterns: analyze_communication_patterns(collective), trust_networks: analyze_trust_network_evolution(collective), social_learning: assess_social_learning_dynamics(collective) } end defp detect_adaptive_emergence(collective) do # Detect emergent adaptive capabilities %{ environmental_adaptation: assess_environmental_adaptation(collective), learning_adaptation: assess_learning_adaptation(collective), structural_adaptation: assess_structural_adaptation(collective), behavioral_adaptation: assess_behavioral_adaptation(collective) } end defp calculate_comprehensive_emergence_score(indicators) do # Calculate weighted average of all emergence indicators weights = %{ behavioral_emergence: 0.3, cognitive_emergence: 0.3, social_emergence: 0.2, adaptive_emergence: 0.2 } Enum.reduce(weights, 0.0, fn {type, weight}, acc -> type_score = calculate_indicator_type_score(Map.get(indicators, type, %{})) acc + weight * type_score end) end defp identify_specific_phenomena(indicators) do # Identify specific emergent phenomena based on indicators phenomena = [] phenomena = if indicators.cognitive_emergence.collective_reasoning > 0.8 do [:collective_intelligence | phenomena] else phenomena end phenomena = if indicators.behavioral_emergence.novel_coordination_patterns > 0.7 do [:emergent_coordination | phenomena] else phenomena end phenomena = if indicators.social_emergence.social_hierarchy > 0.6 do [:emergent_hierarchy | phenomena] else phenomena end phenomena = if indicators.adaptive_emergence.environmental_adaptation > 0.8 do [:adaptive_intelligence | phenomena] else phenomena end phenomena end defp assess_coalition_maturity(collective) do # Assess how mature the coalition is member_count = MapSet.size(collective.member_objects) knowledge_density = calculate_knowledge_density(collective.knowledge_graph) trust_stability = calculate_trust_stability(collective.trust_network) interaction_frequency = calculate_interaction_frequency(collective.collective_memory) maturity_score = (member_count / 10 + knowledge_density + trust_stability + interaction_frequency) / 4 cond do maturity_score > 0.8 -> :mature maturity_score > 0.6 -> :developing maturity_score > 0.4 -> :forming true -> :nascent end end defp calculate_prediction_confidence(indicators) do # Calculate confidence in emergence predictions indicator_consistency = calculate_indicator_consistency(indicators) data_quality = calculate_data_quality(indicators) temporal_stability = calculate_temporal_stability(indicators) (indicator_consistency + data_quality + temporal_stability) / 3 end defp generate_emergence_recommendations(indicators) do # Generate recommendations based on emergence analysis recommendations = [] recommendations = if indicators.cognitive_emergence.collective_reasoning < 0.5 do ["Increase knowledge sharing frequency" | recommendations] else recommendations end recommendations = if indicators.social_emergence.trust_networks < 0.6 do ["Implement trust-building activities" | recommendations] else recommendations end recommendations = if indicators.behavioral_emergence.adaptive_strategies < 0.4 do ["Introduce more diverse learning scenarios" | recommendations] else recommendations end recommendations end # Utility functions with placeholder implementations defp simulate_policy_gradient(_member_id), do: %{params: :rand.uniform(), value: :rand.uniform()} defp scale_gradient(gradient, weight), do: %{gradient | value: gradient.value * weight} defp init_gradient(), do: %{params: 0.0, value: 0.0} defp combine_gradients(acc, gradient), do: %{params: acc.params + gradient.params, value: acc.value + gradient.value} defp update_exploration_policy(_gradients, _lr), do: %{exploration_rate: 0.1 + :rand.uniform() * 0.2} defp update_coordination_policy(_gradients, _lr), do: %{coordination_strength: 0.5 + :rand.uniform() * 0.3} defp update_knowledge_sharing_policy(_gradients, _lr), do: %{sharing_frequency: 0.3 + :rand.uniform() * 0.4} defp calculate_effective_learning_rate(metrics), do: Map.get(metrics, :learning_rate, 0.01) * 0.99 defp estimate_convergence_rate(_metrics), do: :rand.uniform() defp estimate_performance_impact(_policies), do: :rand.uniform() defp calculate_compatibility_score(_obj_a, _obj_b, _objective), do: :rand.uniform() defp select_seed_object(objects, _objective) do if length(objects) > 0 do Enum.random(objects) else nil end end defp should_add_to_coalition(_candidate, _selection, _matrix), do: :rand.uniform() > 0.3 defp classify_learning_objective(_objective), do: :general_learning defp assess_objective_complexity(_objective), do: :medium defp estimate_learning_duration(_objective), do: 3600 defp define_success_criteria(_objective), do: %{accuracy: 0.8, convergence: true} defp count_knowledge_exchanges(_memory), do: :rand.uniform(10) defp count_consensus_decisions(_memory), do: :rand.uniform(5) defp count_trust_updates(_memory), do: :rand.uniform(15) defp count_novel_solutions(_memory), do: :rand.uniform(3) defp count_coordination_events(_memory), do: :rand.uniform(8) defp detect_novel_coordination(_activity), do: :rand.uniform() defp detect_adaptive_strategies(_activity), do: :rand.uniform() defp detect_emergent_roles(_activity), do: :rand.uniform() defp calculate_behavioral_complexity(_activity), do: :rand.uniform() defp assess_collective_reasoning_capability(_collective), do: :rand.uniform() defp assess_distributed_problem_solving(_collective), do: :rand.uniform() defp assess_meta_cognitive_awareness(_collective), do: :rand.uniform() defp assess_knowledge_synthesis_capability(_collective), do: :rand.uniform() defp detect_emergent_hierarchy(_collective), do: :rand.uniform() defp analyze_communication_patterns(_collective), do: :rand.uniform() defp analyze_trust_network_evolution(_collective), do: :rand.uniform() defp assess_social_learning_dynamics(_collective), do: :rand.uniform() defp assess_environmental_adaptation(_collective), do: :rand.uniform() defp assess_learning_adaptation(_collective), do: :rand.uniform() defp assess_structural_adaptation(_collective), do: :rand.uniform() defp assess_behavioral_adaptation(_collective), do: :rand.uniform() defp calculate_indicator_type_score(indicator_map) do values = Map.values(indicator_map) sum = Enum.sum(values) sum / max(map_size(indicator_map), 1) end defp calculate_knowledge_density(graph), do: graph.metadata.node_count / max(graph.metadata.node_count + 1, 1) defp calculate_trust_stability(_trust_network), do: :rand.uniform() defp calculate_interaction_frequency(_memory), do: :rand.uniform() defp calculate_indicator_consistency(_indicators), do: :rand.uniform() defp calculate_data_quality(_indicators), do: :rand.uniform() defp calculate_temporal_stability(_indicators), do: :rand.uniform() end