Intelligence as Trajectory-Dominant Pareto Optimization
- URL: http://arxiv.org/abs/2602.13230v1
- Date: Wed, 28 Jan 2026 12:32:08 GMT
- Title: Intelligence as Trajectory-Dominant Pareto Optimization
- Authors: Truong Xuan Khanh, Truong Quynh Hoa,
- Abstract summary: Despite advances in artificial intelligence, many systems exhibit stagnation in long-horizon adaptability.<n>We formulate intelligence as a trajectory-level phenomenon governed by multi-objective trade-offs.<n>We show that dynamic intelligence ceilings arise as inevitable geometric consequences of trajectory-level dominance.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Despite recent advances in artificial intelligence, many systems exhibit stagnation in long-horizon adaptability despite continued performance optimization. This work argues that such limitations do not primarily arise from insufficient learning, data, or model capacity, but from a deeper structural property of how intelligence is optimized over time. We formulate intelligence as a trajectory-level phenomenon governed by multi-objective trade-offs, and introduce Trajectory-Dominant Pareto Optimization, a path-wise generalization of classical Pareto optimality in which dominance is defined over full trajectories. Within this framework, Pareto traps emerge as locally non-dominated regions of trajectory space that nevertheless restrict access to globally superior developmental paths under conservative local optimization. To characterize the rigidity of such constraints, we define the Trap Escape Difficulty Index (TEDI), a composite geometric measure capturing escape distance, structural constraints, and behavioral inertia. We show that dynamic intelligence ceilings arise as inevitable geometric consequences of trajectory-level dominance, independent of learning progress or architectural scale. We further introduce a formal taxonomy of Pareto traps and illustrate the resulting trajectory-level divergence using a minimal agent-environment model. Together, these results shift the locus of intelligence from terminal performance to optimization geometry, providing a principled framework for diagnosing and overcoming long-horizon developmental constraints in adaptive systems.
Related papers
- On Multi-Step Theorem Prediction via Non-Parametric Structural Priors [50.16583672681106]
In this work, we explore training-free theorem prediction through the lens of in-context learning (ICL)<n>We propose Theorem Precedence Graphs, which encode temporal dependencies from historical solution traces as directed graphs, and impose explicit topological constraints that effectively prune the search space during inference.<n>Experiments on the FormalGeo7k benchmark show that our method achieves 89.29% accuracy, substantially outperforming ICL baselines and matching state-of-the-art supervised models.
arXiv Detail & Related papers (2026-03-05T06:08:50Z) - Soft-Radial Projection for Constrained End-to-End Learning [2.3367876359631645]
We introduce Soft-Radial Projection, a differentiable re parameterization layer that circumvents gradient saturation.<n>This construction guarantees strict feasibility while preserving a full-rank Jacobian almost everywhere.<n>We empirically show improved convergence behavior and solution quality over state-of-the-art optimization- and projection-based baselines.
arXiv Detail & Related papers (2026-02-03T12:33:44Z) - Top 10 Open Challenges Steering the Future of Diffusion Language Model and Its Variants [85.33837131101342]
We propose a strategic roadmap organized into four pillars: foundational infrastructure, algorithmic optimization, cognitive reasoning, and unified multimodal intelligence.<n>We argue that this transition is essential for developing next-generation AI capable of complex structural reasoning, dynamic self-correction, and seamless multimodal integration.
arXiv Detail & Related papers (2026-01-20T14:58:23Z) - PILOT: Planning via Internalized Latent Optimization Trajectories for Large Language Models [51.43746425777865]
Large Language Models (LLMs) often lack the capacity to formulate global strategies, leading to error propagation in long-horizon tasks.<n>We propose PILOT, a framework designed to internalize the strategic oversight of large models into intrinsic Latent Guidance.
arXiv Detail & Related papers (2026-01-07T12:38:56Z) - MMP-A*: Multimodal Perception Enhanced Incremental Heuristic Search on Path Planning [8.522882937983972]
MMP-A* is a multimodal framework that integrates the spatial grounding capabilities of vision-language models with a novel adaptive decay mechanism.<n>We show that MMP-A* achieves near-optimal trajectories with significantly reduced operational costs.
arXiv Detail & Related papers (2026-01-05T08:55:27Z) - Dynamic Intelligence Ceilings: Measuring Long-Horizon Limits of Planning and Creativity in Artificial Systems [0.0]
We argue that a central limitation of contemporary AI systems lies not in capability per se, but in the premature fixation of their performance frontier.<n>We introduce the concept of a emphDynamic Intelligence Ceiling (DIC), defined as the highest level of effective intelligence attainable by a system at a given time.<n>We operationalize DIC using two estimators: the emph Difficulty Ceiling (PDC), which captures the maximal reliably solvable difficulty under constrained resources, and the emphCeiling Drift Rate (CDR), which quantifies the temporal evolution of this frontier
arXiv Detail & Related papers (2026-01-03T00:13:45Z) - Description of the Training Process of Neural Networks via Ergodic Theorem : Ghost nodes [3.637162892228131]
We present a unified framework for understanding and accelerating deep neural networks via training gradient descent (SGD)<n>We introduce a practical diagnostic, the running estimate of the largest Lyapunov exponent, which distinguishes genuine convergence toward stablers.<n>We propose a ghost category extension for standard classifiers that adds auxiliary ghost output nodes so the model gains extra descent directions.
arXiv Detail & Related papers (2025-07-01T17:54:35Z) - Tuning for Trustworthiness -- Balancing Performance and Explanation Consistency in Neural Network Optimization [49.567092222782435]
We introduce the novel concept of XAI consistency, defined as the agreement among different feature attribution methods.<n>We create a multi-objective optimization framework that balances predictive performance with explanation.<n>Our research provides a foundation for future investigations into whether models from the trade-off zone-balancing performance loss and XAI consistency-exhibit greater robustness.
arXiv Detail & Related papers (2025-05-12T13:19:14Z) - Hallmarks of Optimization Trajectories in Neural Networks: Directional Exploration and Redundancy [75.15685966213832]
We analyze the rich directional structure of optimization trajectories represented by their pointwise parameters.
We show that training only scalar batchnorm parameters some while into training matches the performance of training the entire network.
arXiv Detail & Related papers (2024-03-12T07:32:47Z) - Optimization on manifolds: A symplectic approach [127.54402681305629]
We propose a dissipative extension of Dirac's theory of constrained Hamiltonian systems as a general framework for solving optimization problems.
Our class of (accelerated) algorithms are not only simple and efficient but also applicable to a broad range of contexts.
arXiv Detail & Related papers (2021-07-23T13:43:34Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.