Multiperiodic Processes: Ergodic Sources with a Sublinear Entropy

arXiv — cs.LGTuesday, December 23, 2025 at 5:00:00 AM
  • A recent study introduces multiperiodic processes, which are stationary ergodic processes characterized by a vanishing entropy rate under specific conditions. These processes utilize randomly shifted deterministic sequences known as multiperiodic sequences, generated efficiently by an algorithm called the Infinite Clock. The study highlights the relationship between these sequences and Zipf's law, as well as the asymptotic power-law growth of block entropy, referred to as Hilberg's law.
  • The development of multiperiodic processes is significant as it provides insights into the behavior of stationary ergodic processes, which are crucial for understanding complex systems in various fields, including statistical language modeling. The findings may enhance the efficiency of algorithms in data processing and machine learning applications, where entropy plays a vital role in information theory.
  • This research aligns with ongoing discussions in the field of artificial intelligence regarding the challenges of continual learning and the geometric complexities involved. The exploration of entropy rates and their implications for statistical models reflects a broader trend in AI research, where understanding the underlying mathematical principles is essential for advancing machine learning techniques and addressing issues like catastrophic forgetting.
— via World Pulse Now AI Editorial System

Was this article worth reading? Share it

Recommended apps based on your readingExplore all apps
Continue Readings
Attention Projection Mixing and Exogenous Anchors
NeutralArtificial Intelligence
A new study introduces ExoFormer, a transformer model that utilizes exogenous anchor projections to enhance attention mechanisms, addressing the challenge of balancing stability and computational efficiency in deep learning architectures. This model demonstrates improved performance metrics, including a notable increase in downstream accuracy and data efficiency compared to traditional internal-anchor transformers.
User-Oriented Multi-Turn Dialogue Generation with Tool Use at scale
NeutralArtificial Intelligence
A new framework for user-oriented multi-turn dialogue generation has been developed, leveraging large reasoning models (LRMs) to create dynamic, domain-specific tools for task completion. This approach addresses the limitations of existing datasets that rely on static toolsets, enhancing the interaction quality in human-agent collaborations.
Detecting Mental Manipulation in Speech via Synthetic Multi-Speaker Dialogue
NeutralArtificial Intelligence
A new study has introduced the SPEECHMENTALMANIP benchmark, marking the first exploration of mental manipulation detection in spoken dialogues, utilizing synthetic multi-speaker audio to enhance a text-based dataset. This research highlights the challenges of identifying manipulative speech tactics, revealing that models trained on audio exhibit lower recall compared to text.
RULERS: Locked Rubrics and Evidence-Anchored Scoring for Robust LLM Evaluation
PositiveArtificial Intelligence
The recent introduction of RULERS (Rubric Unification, Locking, and Evidence-anchored Robust Scoring) addresses challenges in evaluating large language models (LLMs) by transforming natural language rubrics into executable specifications, thereby enhancing the reliability of assessments.
Rescind: Countering Image Misconduct in Biomedical Publications with Vision-Language and State-Space Modeling
PositiveArtificial Intelligence
A new framework named Rescind has been introduced to combat image manipulation in biomedical publications, addressing the challenges of detecting forgeries that arise from domain-specific artifacts and complex textures. This framework combines vision-language prompting with state-space modeling to enhance the detection and generation of biomedical image forgeries.
Whose Facts Win? LLM Source Preferences under Knowledge Conflicts
NeutralArtificial Intelligence
A recent study examined the preferences of large language models (LLMs) in resolving knowledge conflicts, revealing a tendency to favor information from credible sources like government and newspaper outlets over social media. This research utilized a novel framework to analyze how these source preferences influence LLM outputs.
Predicting Region of Interest in Human Visual Search Based on Statistical Texture and Gabor Features
NeutralArtificial Intelligence
A recent study published on arXiv investigates the relationship between Gabor-based features and gray-level co-occurrence matrix (GLCM) texture features in modeling human visual search behavior. The research proposes two feature-combination pipelines to enhance predictions of human fixation regions using simulated digital breast tomosynthesis images.
Instance-Aligned Captions for Explainable Video Anomaly Detection
NeutralArtificial Intelligence
A new framework for explainable video anomaly detection (VAD) has been introduced, featuring instance-aligned captions that connect textual claims to specific object instances, enhancing the reliability of explanations in safety-critical applications. This approach addresses the limitations of existing methods that often produce incomplete or misaligned descriptions, particularly in scenarios involving multiple entities.

Ready to build your own newsroom?

Subscribe to unlock a personalised feed, podcasts, newsletters, and notifications tailored to the topics you actually care about