NxS Stability Analysis: Beyond Probe-Based RFStability

Written By Maxdi Inc

NxS Stability Analysis: Beyond Probe-Based RFStability

MAXDI INC

Cognitave Inc (Subsidiary)

2025

Summary

NxS (Nonlinear eXtended Stability) assesses stability as an intrinsic property of the executed design-

flow graph. Unlike probe-driven methods (e.g., ADS WS-Probe), NxS evaluates the Jacobian of

the graph execution operator and derives deterministic stability metrics.

1 WS-Probe Paradigm

Probe-based approaches inject auxiliary signals and infer stability from observed behavior. This

procedure can be sensitive to probe placement and simulator semantics.

2 NxS Operator

Let the executed system be represented by an operator E(x; θ). NxS computes:

S_{NxS} =

∂E/∂x| x=x*.

Stability is indicated when the dominant real eigenvalue of SNxS remains negative.

3 RF Interpretation

In RF systems, NxS stability regions reduce to familiar impedance-based criteria and may be

visualized on a Smith chart. The key difference is causal traceability and deterministic execution.

4 Extension to Inference

Because NxS operates on the system graph, the same machinery extends to inference layers and

MXD disk embeddings, enabling unified stability analysis across physical and abstract domains.

IP © 2025 MAXDI INC. All rights reserved.

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Maxdi Inc

About Maxdi Inc

Maxdi Inc is a research-driven company operating at the intersection of advanced inference systems, human cognition, and creative intelligence. Founded to explore how meaning, perception, and structure emerge across domains, Maxdi develops original frameworks that bridge science, art, and philosophy.

At the core of Maxdi’s work is MXD-COGN (Mixed-Domain, Mixed-Depth Inference), a proprietary research framework that studies how coherent structures form under uncertainty—whether in physical systems, human perception, or creative processes. MXD-COGN investigates how observer interaction, boundary conditions, and deformation govern the emergence of order across multiple scales.

Maxdi’s research spans:

Coherence engineering and inference theory, Observer-anchored systems and human-in-the-loop intelligence, Perceptual and cognitive order parameters, Cross-disciplinary applications of quantum, informational, and geometric principles.

Through Maxdi Art, the company extends this research into the cultural domain, producing original works that function as perceptual experiments rather than illustrations. These works explore how consciousness, ambiguity, and structure manifest visually, often drawing inspiration from historical masters such as Leonardo da Vinci, while remaining non-referential and forward-looking.

Maxdi Inc has previously operated physical gallery spaces in New York City and continues to engage with curators, researchers, and institutions internationally. Its work is designed not only to produce artifacts, but to develop new languages for understanding complexity, perception, and meaning in the modern world.

Maxdi Inc is headquartered in the United States and collaborates globally across research, art, and technology.

https://www.maxdi.com
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