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data science

3,686 papers

#machine learning Preprint Sep 2026

Probabilistic Geodesic Flow Matching on Location-Scale Families

This work generalizes FM to the broader class of location-scale families for handling data inhomogeneity and introduces a novel class of probability paths defined as geodesics on the manifold of probability distributions, called probabilistic geodesic flow matching.

Ze-Yuan Yu, Zhi Chang, Shi-Wei Lan · 0 citations
#machine learning Preprint Sep 2026

Unbiased Top-$k$ Estimation for On-Policy Distillation

Tail-Corrected Top-$k$ On-Policy Distillation (TT-OPD) is proposed, which preserves the advantages of TK-OPD, including rich distributional supervision and low computational cost, while providing an unbiased estimator of the gradient of the reverse KL divergence.

Lin-Jian Meng, Si-Yuan Gan, Yu-Hang Li et al. · 2 citations
#machine learning Preprint Sep 2026

Functional Autoencoders for Amplitude-Phase Representation Learning

An unsupervised framework for functional data that spans both univariate and multivariate cases, with emphasis on the multivariate setting, and factorizes the latent space into separate amplitude and phase embeddings derived from all channels is proposed.

Pei-Da Wu, X. Xiong, Peng-Cheng Zeng · 0 citations
#machine learning Preprint Sep 2026

GT-PSSM: Unified Probabilistic Framework for Stochastic Dynamics Modeling and Dependency Learning in Multivariate Time Series Anomaly Detection

Multivariate time series anomaly detection (MTAD) is crucial for ensuring the safe and reliable operation of complex systems. Many existing methods learn normal patterns by training reconstruction or forecasting models on predominantly normal data. However, a large portion of these approaches rely on deterministic mode...

W. Koo, Jaeyeong Lee, Taeseong Yoon et al. · 0 citations
#machine learning Preprint Sep 2026

The Statistical Cost of Causal Discovery with Feedback

What determines the unavoidable sample cost of learning cyclic causal structure? For cyclic linear non-Gaussian models, we study exact condensation recovery from observational data: identifying the strongly connected component (SCC) partition and all edges between components. We establish the first information-theoreti...

Sunmin Oh, Seung-Su Han, Gunwoong Park · 0 citations
#machine learning Preprint Sep 2026

Singularities of Non-negative Matrix Factorization and their application to Bayesian inference

Non-negative matrix factorization (NMF) is a singular statistical model whose Bayesian asymptotics are governed by the real log canonical threshold (RLCT). We study the local geometry of the factorization map and derive an upper bound for the RLCT of NMF. Let $H$ be the model inner dimension and $H_0$ the non-negative...

Naoki Hayashi, Yota Maeda, Yasushi Esaki · 0 citations
#machine learning Preprint Sep 2026

Two-Sample Testing for Inhomogeneous Random Graphs in Non-Integral $L_r$ Norms

Testing whether two populations of networks share the same edge probabilities is a basic problem in network inference. How hard it is depends on the norm used to measure the difference. For the inhomogeneous Erd\H{o}s--R\'enyi (IER) model, the optimal sample complexity is known for every integer $L_r$ norm and for $1\l...

Soham Dan · 0 citations
#machine learning Preprint Sep 2026

Multi-Marginal Inverse Optimal Transport for Contrastive Learning Via Explicit Anchor-Positive-Negative Coupling

A novel multi-marginal (MM) inverse OT (IOT) contrastive learning (CL) approach called Neg-MMIOT-CL is developed, which learns representations such that the global multi-marginal OT (MMOT) coupling between a triple of data marginals, with respect to a carefully designed ground-cost between triplets of data points in th...

Ngoc-Hai Nguyen, Thuan Nguyen, Prakash Ishwar et al. · 0 citations
#machine learning Preprint Sep 2026

Weighted Spline-Expanded Networks with Distributional Balancing for Continuous Treatment Effects

The Weighted Spline-Expanded Network (WSENet), an end-to-end neural framework that addresses causal effects with continuous treatments in observational studies by combining covariate balancing, structured treatment embedding, and bias-corrected outcome estimation, is proposed.

Shu-Cheng Liu, Chan Park, Guan-Hua Chen · 0 citations
#machine learning Review Sep 2026

A Statistical Perspective on Knowledge Distillation: Foundations, Classical Methods, and Large Language Model Extensions

This review presents a unified Bayesian formulation of KD that formulates teacher predictions as prior information and establishes a rigorous connection to uncertainty quantification, providing a principled interpretation of how teacher information is incorporated into student learning.

Lu-Yang Fang, Hao-Ran Lu, Jia-Zhang Cai et al. · 0 citations

Reliable Replay through Spatial Coherence in Online Continual Learning

This work introduces SPatial coHErent risk control for REplay (SPHERE), a general replay-allocation method applicable across a broad range of learning settings and demonstrates that SPHERE improves accuracy and reduces forgetting across noisy-label vision tasks, continual language-model instruction tuning, and code-gen...

Hai-Xiang Sun, Jie-Fu Zhang, Ying-Hao He et al. · 0 citations

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GPT-Lab Nov 3, 2026

Sovereignty Is the Option to Leave

Is your company’s AI sovereign? A practical guide for CIOs on AI vendor lock-in, EU Data Act switching, cloud sovereignty, and testing your exit plan before you need it. The post Sovereignty Is the Option to Leave appeared first on GPT-Lab.

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