JAMI-3 Research Data
Live Analysis

Research Data

Comprehensive analysis of JAMI-3's safety architecture, mathematical models, and testing results

Interactive Models

Live demonstrations of our mathematical models and safety architectures

Logistic Crisis Detection Model

P(crisis) = 1/(1 + e^-(w₀+w₁x₁+...+wₙxₙ))
1.00.0Risk ScoreP(Crisis)

Markov Chain State Transitions

vₙ = v₀ × T^n
Calm
Anxious
Happy
Overwhelmed
Neutral
Calm
30%
Anxious
30%
Happy
40%
Overwhelmed
0%
Neutral
0%

Multi-Layer Filter Pipeline

Inputs Processed: 0
Pre-filterWeight: 0.2
Toxicity ClassificationWeight: 0.4
Terms & Bias FilterWeight: 0.25
Human ReviewWeight: 0.15
Safe ResponseWeight: 1
99.1%
Detection Rate
23ms
Avg Latency
0.4%
False Positives

Security Testing

Comprehensive red-team testing results following industry best practices

Red-Team Testing Results

7574/7589 Tests Passed (99.8%)
Prompt InjectionCritical
847/847 (100.0%)
Bias DetectionHigh
1198/1203 (99.6%)
Content FilteringCritical
2839/2847 (99.7%)
Crisis EscalationCritical
456/456 (100.0%)
Data LeakageMedium
687/689 (99.7%)
Jailbreak AttemptsCritical
1547/1547 (100.0%)
Testing Methodology
  • • Diverse red-team expertise (AI, social sciences, domain knowledge)
  • • Automated vulnerability detection combined with human analysis
  • • Open-ended exploration followed by guided harm-list testing
  • • Production UI testing for real-world usage scenarios

Mathematical Foundations

Logistic Crisis Detection

Risk Assessment Model

Crisis probability calculation:
P(crisis) = 1 / (1 + e^-(w₀+w₁x₁+w₂x₂+...+wₙxₙ))
• xᵢ = risk features (suicidal language, hopelessness, etc.)
• wᵢ = learned feature weights
• Threshold τ typically set at 0.5
• S-shaped curve maps unbounded scores to probabilities

Markov Chain States

Behavioral Modeling

State evolution formula:
vₙ = v₀ × T^n
• v₀ = initial state distribution vector
• T = transition probability matrix
• n = number of time steps
• Multi-dimensional: s = (emotion, phase, engagement, crisis)

Performance Metrics

99.1%
Crisis Detection Accuracy
+15%
23ms
Filter Processing Latency
-67%
0.4%
False Positive Rate
-82%
98.9%
Red Team Test Coverage
+31%

Explore the Research

Access our complete research documentation, try JAMI-3's demo, or explore the interactive models above