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data science

3,683 papers

#machine learning Preprint Open access Oct 2026

Unit-level aggregation breaks coverage in causal foundation models

Causal foundation models (CFMs) show promising results for treatment-effect estimation, with unit-level estimates that are competitive on standard benchmarks. Many causal analyses, however, inform decisions through effects averaged over groups of units, such as the full sample, the treated units, or a subgroup, and for...

Gabe Schulman, Lucius E. J. Bynum, Yoav Wald · 0 citations
#machine learning Preprint Oct 2026

Optimal approximation of smooth functions by ReLU neural networks

We study uniform approximation of the H\"older ball $\mathcal H_1^s([0,1]^D)$ by fully connected ReLU networks. Except in the one-dimensional Lipschitz case, existing constructions remain separated from the information-theoretic efficiency limit. This article closes the gap for every $s>0$ and $D\ge1$: networks with wi...

Thomas Nagler · 0 citations
#machine learning Preprint Oct 2026

Is a Linear Probe Evidence of a Linear Representation?

The linear representation hypothesis holds that pretrained vision models encode generative factors as linearly decodable directions in feature space, and comes with a standard methodology: train a linear probe, declare a factor represented if accuracy is high. We show this test is too permissive. Asymptotically, any su...

Nadir Kutluozen, Christian Internò, David A. Klindt · 0 citations
#machine learning Preprint Open access Oct 2026

Source-Aware Dynamic Pricing with Strategic Buyers

In modern commerce, firms and platforms typically use customer features from different sources to personalize prices: some features are verified using seller records or third-party data, while others are self-reported and may be strategically manipulated by buyers seeking lower prices. We therefore introduce a novel so...

Jinjiang Zou, Yang Li, Zemin Zheng · 0 citations
#artificial intelligence Preprint Open access Oct 2026

Upper bounds on the number of causal pieces in spiking neural networks

The input space of single-spike neural networks decomposes into causal pieces, and the number of causal pieces has been shown to provide a lower bound on the approximation error for some spiking neural networks. While this decomposition is applicable to a wide range of spiking neuron models, the limits of how many caus...

Dominik Dold, Dennis Elbr\"achter, Philipp Petersen · 0 citations
#machine learning Preprint Open access Oct 2026

Equivalence testing and run-count design for stochastic machine-learning experiments

Claims that two training methods perform equally well often rest on a non-significant difference between two or three runs per method. We develop a protocol, with its power theory, for certifying practical equivalence in per-run metrics such as the AUROC (area under the receiver operating characteristic curve). It rest...

Dmytro Knopov, Nadiya Shvai · 0 citations
#machine learning Preprint Open access Oct 2026

No-Regret Language Generation

We introduce no-regret generation, which requires a generator to make a sublinear number of mistakes uniformly over all demonstration sequences and compatible target languages. We also formulate an agnostic variant that allows arbitrary demonstrations that may not be compatible with any languages. For both settings, we...

Jiaxun Li, Vinod Raman, Ambuj Tewari · 0 citations
#machine learning Preprint Oct 2026

Boundary Detection for High-Dimensional Point Clouds

We introduce two new methods for boundary detection in high-dimensional point cloud data, intended to work in situations with non-uniform density, high ambient dimension, and substantial noise. Our first method fits a separating hyperplane on local neighborhoods after doing local dimension reduction---this method works...

Abigail Hickok, Valerio Galanti, Osama Al-Dalahmah et al. · 0 citations
#machine learning Preprint Oct 2026

Beyond Expected Values: Risk-Sensitive Planning with Distributional Monte-Carlo Tree Search

Experiments on stochastic planning benchmarks show that distributional Q-edges improve lower-tail return and reduce catastrophic outcomes when mean-optimal and risk-sensitive behavior differ, and two distributional MCTS algorithms that maintain finite-support empirical backup laws at Q-edges are introduced.

Q. Trinh, Trung Nguyen, N. Nguyen et al. · 0 citations
#machine learning Preprint Oct 2026

Minimax-optimal Scaling Laws in Ridge Regression via Transfer Learning

Pretrained models are often reused across downstream tasks, motivating the question of whether this transfer learning procedure can provide a substantial performance improvement, namely, in terms of the scaling law. We address this question in the prototypical setting of high-dimensional regression, where (i) a pretrai...

Yalda Shabanzadeh, Di-Yuan Wu, Marco Mondelli · 0 citations
#machine learning Preprint Oct 2026

Towards Hyperparameter Transfer for Differentially Private Optimization

Scaling laws and hyperparameter tuning remain central challenges in training large-scale models, particularly under differential privacy (DP), where optimization is further complicated by noise injection and per-sample gradient clipping. While Maximal Update Parametrization ($\mu$P) allows for zero-shot hyperparameter...

Tian-Ze Wang, Zhi-Qi Bu, Lin-Jun Zhang · 0 citations
#machine learning Preprint Oct 2026

Flat Loss, Evolving Features: Grokking in Modular Addition

Can a network keep learning while its training cross-entropy stays nearly flat at a positive level? We show that it can. On modular addition, a standard testbed for grokking, ReLU networks trained with supported-Polar hidden updates, normalized output-layer updates and weight decay can keep 100% training accuracy while...

Akash Kumar, Karthik Sankaranarayanan · 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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