Joint learning of a network of linear dynamical systems via total variation penalization

arXiv — stat.MLTuesday, November 25, 2025 at 5:00:00 AM
  • A recent study explores the joint estimation of parameters in multiple linear dynamical systems, utilizing a total variation penalized least-squares estimator. The research demonstrates that mean squared error (MSE) can approach zero as the number of systems increases, even with constant trajectory lengths, supported by experiments on both synthetic and real data.
  • This development is significant as it enhances the understanding of parameter estimation in interconnected systems, potentially improving predictive modeling in various applications, including robotics and control systems.
  • The findings contribute to ongoing discussions in machine learning about the efficiency of parameter estimation techniques and their implications for system dynamics, particularly in complex environments where traditional methods may struggle.
— via World Pulse Now AI Editorial System

Was this article worth reading? Share it

Recommended apps based on your readingExplore all apps
Continue Readings
Cornell Tech Secures $7 Million From NASA and Schmidt Sciences to Modernise arXiv
PositiveArtificial Intelligence
Cornell Tech has secured a $7 million investment from NASA and Schmidt Sciences aimed at modernizing arXiv, a preprint repository for scientific papers. This funding will facilitate the migration of arXiv to cloud infrastructure, upgrade its outdated codebase, and develop new tools to enhance the discovery of relevant preprints for researchers.
Generating Reading Comprehension Exercises with Large Language Models for Educational Applications
PositiveArtificial Intelligence
A new framework named Reading Comprehension Exercise Generation (RCEG) has been proposed to leverage large language models (LLMs) for automatically generating personalized English reading comprehension exercises. This framework utilizes fine-tuned LLMs to create content candidates, which are then evaluated by a discriminator to select the highest quality output, significantly enhancing the educational content generation process.
Analysis of Semi-Supervised Learning on Hypergraphs
PositiveArtificial Intelligence
A recent analysis has been conducted on semi-supervised learning within hypergraphs, revealing that variational learning on random geometric hypergraphs can achieve asymptotic consistency. This study introduces Higher-Order Hypergraph Learning (HOHL), which utilizes Laplacians from skeleton graphs to enhance multiscale smoothness and converges to a higher-order Sobolev seminorm, demonstrating strong empirical performance on standard benchmarks.
Learning to See and Act: Task-Aware Virtual View Exploration for Robotic Manipulation
PositiveArtificial Intelligence
A new framework called Task-aware Virtual View Exploration (TVVE) has been introduced to enhance robotic manipulation by integrating virtual view exploration with task-specific representation learning. This approach addresses limitations in existing vision-language-action models that rely on static viewpoints, improving 3D perception and reducing task interference.
On the limitation of evaluating machine unlearning using only a single training seed
NeutralArtificial Intelligence
A recent study highlights the limitations of evaluating machine unlearning (MU) by relying solely on a single training seed, revealing that results can vary significantly based on the random number seed used during model training. This finding emphasizes the need for more robust empirical comparisons in MU algorithms, particularly those that are deterministic in nature.
PocketLLM: Ultimate Compression of Large Language Models via Meta Networks
PositiveArtificial Intelligence
A novel approach named PocketLLM has been introduced to address the challenges of compressing large language models (LLMs) for efficient storage and transmission on edge devices. This method utilizes meta-networks to project LLM weights into discrete latent vectors, achieving significant compression ratios, such as a 10x reduction for Llama 2-7B, while maintaining accuracy.
PRISM-Bench: A Benchmark of Puzzle-Based Visual Tasks with CoT Error Detection
PositiveArtificial Intelligence
PRISM-Bench has been introduced as a new benchmark for evaluating multimodal large language models (MLLMs) through puzzle-based visual tasks that assess both problem-solving capabilities and reasoning processes. This benchmark specifically requires models to identify errors in a step-by-step chain of thought, enhancing the evaluation of logical consistency and visual reasoning.
For Those Who May Find Themselves on the Red Team
NeutralArtificial Intelligence
A recent position paper emphasizes the need for literary scholars to engage with research on large language model (LLM) interpretability, suggesting that the red team could serve as a platform for this ideological struggle. The paper argues that current interpretability standards are insufficient for evaluating LLMs.