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On (not) learning the Mobius function

DGX agent

arXiv:2604.23427v1 Announce Type: cross Abstract: We prove lower bounds on learning the Mobius or Liouville function with a variety of standard learning techniques, including kernel methods, noisy gra

researcharxiv-cs-lg

28 Apr 2026

Research

All entries

On (not) learning the Mobius function

On the Complementarity of Quantum and Classical Features: Adaptive Hybrid Quantum-Classical Feature Fusion for Breast Cancer Classification

On the Convergence of Jacobian-Free Backpropagation for Optimal Control Problems with Implicit Hamiltonians

On the Convergence Theory of Pipeline Gradient-based Analog In-memory Training

On the Existence of an Inverse Solution for Preference-Based Reductions in Argumentation

On the Memorization of Consistency Distillation for Diffusion Models

On the Peril of (Even a Little) Nonstationarity in Satisficing Regret Minimization

On the Reasoning Abilities of Masked Diffusion Language Models

On the Surprising Effectiveness of a Single Global Merging in Decentralized Learning

One Identity, Many Roles: Multimodal Entity Coreference for Enhanced Video Situation Recognition

One-Shot Real-World Demonstration Synthesis for Scalable Bimanual Manipulation

One Size Fits None: Heuristic Collapse in LLM Investment Advice

OntoLogX: Ontology-Guided Knowledge Graph Extraction from Cybersecurity Logs with Large Language Models

Open-Vocabulary Semantic Segmentation Network Integrating Object-Level Label and Scene-Level Semantic Features for Multimodal Remote Sensing Images

OpenPodcar2: a robust, ROS2 vehicle for self-driving research

OpenVO: Open-World Visual Odometry with Temporal Dynamics Awareness

Optimal Experimental Design for Reliable Learning of History-Dependent Constitutive Laws

OptProver: Bridging Olympiad and Optimization through Continual Training in Formal Theorem Proving

Oracle Noise: Faster Semantic Spherical Alignment for Interpretable Latent Optimization

Orthogonal Representation Learning for Estimating Causal Quantities

OS-SPEAR: A Toolkit for the Safety, Performance,Efficiency, and Robustness Analysis of OS Agents

Otherness as a Quality in Designing Expressive Robotic Touch

Out of Spuriousity: Improving Robustness to Spurious Correlations without Group Annotations

Overcoming Copyright Barriers in Corpus Distribution Through Non-Reversible Hashing

Parameter Efficiency Is Not Memory Efficiency: Rethinking Fine-Tuning for On-Device LLM Adaptation

Parameter-Efficient Multi-Task Learning via Progressive Task-Specific Adaptation

PARASITE: Conditional System Prompt Poisoning to Hijack LLMs

ParkingScenes: A Structured Dataset for End-to-End Autonomous Parking in Simulation Scenes

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks

Passage-Aware Structural Mapping for RGB-D Visual SLAM

Patching LLM Like Software: A Lightweight Method for Improving Safety Policy in Large Language Models

PathMoG: A Pathway-Centric Modular Graph Neural Network for Multi-Omics Survival Prediction

Patterns vs. Patients: Evaluating LLMs against Mental Health Professionals on Personality Disorder Diagnosis through First-Person Narratives

PDF-WuKong: A Large Multimodal Model for Efficient Long PDF Reading with End-to-End Sparse Sampling

Pedestrians play chicken with an autonomous vehicle

Peer Identity Bias in Multi-Agent LLM Evaluation: An Empirical Study Using the TRUST Democratic Discourse Analysis Pipeline

PeeriScope: A Multi-Faceted Framework for Evaluating Peer Review Quality

PEPS: Positional Encoding Projected Sampling -- Extended

Perfecting Aircraft Maneuvers with Reinforcement Learning

Personality Shapes Gender Bias in Persona-Conditioned LLM Narratives Across English and Hindi: An Empirical Investigation

Personalized Worked Example Generation from Student Code Submissions using Pattern-based Knowledge Components

Personalizing Causal Audio-Driven Facial Motion via Dynamic Multi-modal Retrieval

PExA: Parallel Exploration Agent for Complex Text-to-SQL

Phase-Separated Complex Hilbert PCA on Markerless 3D Pose Estimation Data: A Global Phase Network and Its Extension to a Continuous Field on the Body Surface

PhysCodeBench: Benchmarking Physics-Aware Symbolic Simulation of 3D Scenes via Self-Corrective Multi-Agent Refinement

PhySE: A Psychological Framework for Real-Time AR-LLM Social Engineering Attacks

Physics-Informed Temporal U-Net for High-Fidelity Fluid Interpolation

PhysLayer: Language-Guided Layered Animation with Depth-Aware Physics