A Mathematical Framework for Transformer Circuits
We propose a mathematical framework for understanding the internal computations of transformer models, focusing on attention heads and their interactions.
Ideomatics is a software development agency delivering custom web applications, mobile apps, automation, SEO, and consultancy across 65 specialized services. The Ideomatics AI practice covers LLM integration, RAG pipelines, alignment, interpretability, and safety evaluations.
Understanding how complex models make decisions by reverse-engineering their internal representations and circuits.
Developing techniques to ensure highly capable systems reliably behave according to intended human goals and values.
Creating robust frameworks and evaluations for the responsible deployment and governance of frontier AI models.
Ideomatics runs a repeatable, evidence-driven loop — from surfacing latent failure modes through to shipping aligned, monitored behavior in production.
Identifying critical gaps in current models.
We map the failure surface where models hallucinate, drift, or surprise operators. Our team draws on telemetry, red-team probes, and stakeholder interviews. Every gap surfaces with evidence before we propose a fix.
Formulating testable theories for alignment.
Each gap becomes a falsifiable hypothesis about what's happening inside the model. We design experiments that can decisively confirm or rule out a mechanism before we invest in fixes.
Evaluating models under extreme constraints.
We stress models against adversarial inputs, distribution shifts, and edge cases. Our evals measure accuracy, calibration, refusal behavior, and steerability — not just leaderboard scores.
Ensuring outputs match human values.
Findings flow into training-time and inference-time interventions. We apply RLHF refinements, constitutional rules, and latent steering vectors. Continuous production monitoring closes the loop.
Whiteboard session · Interpretability sprint
Code review · Alignment evals
Internal seminar · Constitutional AI
Lab kitchen · Friday demos
Working session · Reward model overoptimization
Late-night build · Steering vectors v3

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What our clients say
We propose a mathematical framework for understanding the internal computations of transformer models, focusing on attention heads and their interactions.
Training a harmless AI assistant through self-improvement, without any human labels identifying harmful outputs.
An empirical investigation into how optimizing against a learned reward model eventually degrades true preference.
We combine red-teaming, mechanistic interpretability probes, and constitutional rules that run at both training and inference time. Every release goes through a fixed evaluation suite covering refusal behavior, jailbreak resistance, and tone drift — and we publish the pass/fail breakdowns so partners can audit our claims.
Our active engagements span healthcare (clinical summarization, triage assistants), financial services (compliance-aware comms, risk reporting), and applied AI labs that need rigorous evaluation infrastructure. We're selective — we only take partnerships where alignment and interpretability are genuinely on the critical path.
Most of our evaluation suites and red-team probe sets are public under permissive licenses on our research hub. Training data and proprietary client telemetry stay private. If you need access to a specific benchmark or want to contribute a new one, reach out and we'll route the request to the relevant research lead.
Client data is processed under signed DPAs with isolation guarantees — separate inference environments, no cross-client training, and configurable retention windows. For especially sensitive deployments (PHI, financial PII) we offer on-premise or VPC-isolated stacks where data never leaves the customer's environment.