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Main positions:Director, High Performance Computing Platform, PKU
Degree:Doctoral degree
Status:Employed
School/Department:Institute of Theoretical Physics

Lei Yian

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Education Level: Postgraduate (Doctoral)

Administrative Position: Associate Professor

Alma Mater: Peking University

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From Parameter Guessing to Understanding: AI Large Models vs. the Standard Model
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From Parameter Guessing to Understanding: AI Large Models vs. the Standard Model

Introduction: Worlds Apart, Yet Strikingly Alike

At the scientific frontier of the 21st century, two seemingly disparate domains stand out: artificial intelligence’s large language models (LLMs) and particle physics’ Standard Model (SM). On the surface, one belongs to computer science—processing language, images, and complex pattern recognition—while the other lies at the heart of fundamental physics, describing the elementary particles that constitute the universe and their interactions.

Yet when we look beneath the surface, a profound parallel emerges: both are parameter-rich predictive systems. Neither “understands” its domain in any ontological sense; instead, each leverages vast sets of empirically tuned parameters to forecast the most probable outcomes. This resemblance extends further—to cognitive neuroscience, philosophy, and even the developmental trajectory of human intelligence itself.

The Parameter Dilemma: When Quantity Masks Understanding

The Ocean of Parameters in AI

Modern LLMs—such as the GPT series—routinely contain hundreds of billions, even trillions, of parameters. These are fine-tuned through exposure to massive datasets, forming intricate networks of statistical dependencies. The model uses these parameters to capture linguistic regularities and predict the probability distribution of the next token.

But does this predictive prowess equate to genuine understanding?

Crucially, no. These models perform high-dimensional interpolation and extrapolation—they recognize patterns and correlations but remain utterly silent on why those patterns exist or why certain associations hold. Each parameter is merely a number, devoid of intrinsic physical meaning or conceptual grounding.

The Parameter Puzzle of the Standard Model

The Standard Model faces a strikingly similar challenge. Despite being one of humanity’s most successful scientific theories—capable of predicting experimental results with astonishing precision—it relies on approximately 20 free parameters: particle masses, coupling strengths, mixing angles, and CP-violating phases—all determined empirically.

This raises a deep philosophical question:

If a theory requires so many externally supplied inputs to function, does it truly explain nature—or merely provide an exquisitely accurate fitting framework?

Like an AI trained on data, the SM is calibrated against observation. It tells us what happens, not why it must happen.

The Ladder of Cognition: From Tools to Understanding

Lessons from Human Cognitive Development

Human cognitive evolution offers a powerful lens through which to view this issue. From infancy, our brains process raw sensory input—light, sound, touch—and gradually construct abstract concepts through stages:

  1. Perception: Gathering raw sensory data and detecting patterns

  2. Memory: Storing and retrieving experiential templates

  3. Analogy: Linking disparate contexts through similarity

  4. Abstraction: Extracting universal principles

  5. Logic: Reasoning from first principles to generate predictions

This progression is, at its core, a parameter-refinement process—moving from handling immense streams of sensory variables to mastering a few fundamental laws. True understanding arises when we can explain the greatest diversity of phenomena with the fewest assumptions.

Physics Mirrors Cognitive Evolution

Remarkably, the history of physics follows the same arc:

  • Empirical observation: Cataloging celestial and terrestrial phenomena

  • Phenomenological laws: Kepler’s planetary laws, Boyle’s gas law

  • Unification: Newtonian mechanics unifying heaven and Earth

  • Deep principles: Relativity and quantum theory revealing the fabric of spacetime and matter

  • Quest for unity: The ongoing search for a theory of everything

Each breakthrough reduced the number of independent parameters while dramatically expanding explanatory power. Newton explained countless mechanical phenomena with three laws and universal gravitation; Einstein rebuilt our conception of spacetime from a single postulate—the invariance of the speed of light.

Natural Quantum Theory: Toward Minimal Parameters

The Power of Geometry and Spectral Structure

Natural Quantum Theory (NQT) represents physics’ latest stride toward maximal simplicity. Its central thesis is this:

Physical laws should emerge naturally from geometric invariants and spectral structures—not be patched together with adjustable parameters.

This approach achieves elegance through:

  • Geometric constraints that eliminate arbitrariness

  • Spectral methods that unify discrete and continuous phenomena within a single framework, encoding global boundary conditions into field dynamics

  • Symmetry principles that dictate physical laws a priori, rather than being inferred a posteriori

A Paradigm Shift: From Fitting to Deriving

Conventional “tool-based” quantum theory—like training an AI—relies on experimental fitting. NQT seeks something deeper: derivation from first principles. This shift mirrors transformative moments in intellectual history:

  • From memorizing multiplication tables → to grasping the logic of arithmetic

  • From fitting planetary orbits → to deriving gravity from symmetry

  • From modeling statistical language patterns → to understanding syntactic structure

The Essence of Deep Understanding: A Dialectic of Minimization and Maximization

The Principle of Parameter Minimization

True scientific understanding manifests as explaining the most with the least. This ideal appears across disciplines:

  • Occam’s Razor: Prefer simpler theories when explanatory power is equal

  • Information Theory: Optimal theories achieve maximal compression of empirical data

  • Computational Simplicity: Fundamental laws should be algorithmically concise

Maximizing Predictive Power

Complementing minimization is the drive for maximal predictive scope. A profound theory should:

  • Explain known phenomena

  • Predict novel effects

  • Reveal hidden connections across domains

  • Offer conceptual clarity—leaving no room for mystery

The ideal physical theory—like an ideal AI—uses the fewest parameters to achieve the broadest predictive reach.

Philosophical Reflections: Layers and Limits of Understanding

What Does “Understanding” Really Mean?

Comparing AI and physics reveals a hierarchy of understanding:

  1. Descriptive: Accurately predict outcomes (achieved by both LLMs and SM)

  2. Mechanistic: Explain how phenomena arise

  3. Principled: Explain why mechanisms must take their observed form

  4. Unified: Embed diverse phenomena within a single coherent framework

Where Lies the Boundary of Understanding?

Even with perfect parameter minimization, have we reached the end of understanding? This leads to deeper questions:

  • Irreducible complexity: Are some systems inherently incompressible?

  • Observer limitations: Does our cognitive architecture constrain what we can comprehend?

  • The unreasonable effectiveness of mathematics: Why does math describe nature so well?

Future Horizons: Convergence and Transcendence

Cross-Pollination Between AI and Physics

The parallel evolution of AI and physics offers mutual inspiration:

For AI:

  • Incorporate physical symmetries and conservation laws into architectures

  • Develop geometric and topological neural networks

  • Prioritize interpretability and parameter efficiency over brute-scale fitting

For Physics:

  • Use machine learning to detect hidden patterns in data

  • Employ AI to assist in symbolic theory discovery

  • Study emergence in complex systems through computational lenses

Toward a Unified Framework of Understanding

Breakthroughs may arise from:

  • Interdisciplinary synthesis: Merging information theory, geometry, topology, and physics

  • New mathematical languages: Better suited to nature’s intrinsic structure

  • Theory-computation synergy: Using AI to explore vast theoretical landscapes

  • Philosophical clarity: Refining what we mean by “explanation” and “understanding”

Conclusion: The Pursuit of Ultimate Simplicity

From LLMs to the Standard Model, from infant cognition to Natural Quantum Theory, a unifying theme emerges: true understanding transcends complexity not by adding more parameters, but by uncovering deeper principles that reduce necessary assumptions.

As Einstein famously advised:

“Everything should be made as simple as possible, but not simpler.”

This delicate balance—between fidelity to reality and maximal elegance—is the holy grail of science. Whether in AI or fundamental physics, we are all climbing toward it.

The vision of NQT—to reduce physics’ fundamental parameters to a minimal set—is not merely a technical ambition. It is a philosophical mission: the transition from instrumental knowledge to principled understanding, from probabilistic guessing to logical and geometric necessity.

In this quest, AI, physics, cognitive science, and philosophy cease to be isolated disciplines. They become complementary facets of humanity’s deepest endeavor: to understand the universe with the fewest principles and the greatest coherence.

That is the ultimate dream of science—and the highest expression of human wisdom.