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2,791 papers

#machine learning Preprint Jun 2026

Statistically Valid Post-Training Hyperparameter Selection: From Tuning to Guarantees

This monograph presents a unified statistical framework for reliable post-training hyperparameter selection, centered on the learn-then-test (LTT) paradigm, that enables the choice of hyperparameters that provably satisfy application-specific reliability requirements.

Amirmohammad Farzaneh, Osvaldo Simeone · 2 citations

Goal-Oriented Lower-Tail Calibration of Gaussian Processes for Bayesian Optimization

Gaussian process (GP) predictive distributions are commonly used in Bayesian optimization (BO) to guide the selection of evaluation points for expensive objective functions. The choice of kernel and hyperparameters has a strong influence on the exploration--exploitation trade-off. For minimization, sampling criteria su...

Aurélien Pion, Emmanuel Vazquez · 0 citations

Continuous Diffusion Scales Competitively with Discrete Diffusion for Language

The first scaling law for continuous DLMs that rivals discrete DLMs is established: RePlaid exhibits a compute gap of only $20\times$ compared to autoregressive models, outperforms Duo while using fewer parameters, and outperforms MDLM in the over-trained regime.

Zhi-Han Yang, Wei Guo, Shuibai Zhang et al. · 12 citations · ⚡2
#machine learning Preprint Open access Sep 2026

Bilateral Trade Under Heavy-Tailed Valuations: Minimax Regret without a Variance Bound

In contextual bilateral trade under full feedback, the posted price does not affect which valuations are observed. We show that in this model such action-independent feedback removes the polynomial adaptation penalty familiar from heavy-tailed bandits: fully parameter-free algorithms attain the oracle minimax $T$-expon...

Hangyi Zhao · 0 citations

Statistical analysis of Inverse Entropy-regularized Reinforcement Learning

A statistical framework for Inverse Entropy-regularized Reinforcement Learning is developed that resolves ambiguity by combining entropy regularization with a least-squares reconstruction of the reward from the soft Bellman residual, leading to a unique and well-defined so-called least-squares reward consistent with th...

D. Belomestny, Alexey Naumov, Sergey Samsonov · 0 citations

Test time training enhances in-context learning of nonlinear functions

The theory reveals that TTT enables the single-layer transformers to adapt to both the feature vector and the link function, which vary across tasks, which creates a sharp contrast with ICL alone, which is theoretically difficult to adapt to shifts in the link function.

Kento Kuwataka, Taiji Suzuki · 4 citations
#machine learning Preprint Jun 2025

Near-optimal estimates for the $\ell^p$-Lipschitz constants of deep random ReLU neural networks

The analysis is extended to networks with possibly non-zero biases drawn from arbitrary symmetric distributions and derives high probability upper and lower bounds for wide networks that differ at most by a factor that is logarithmic in the network's width and linear in its depth.

Sjoerd Dirksen, Patrick Finke, Paul Geuchen et al. · 0 citations
#machine learning Preprint Open access Sep 2026

The observational partial order of causal structures with latent variables

For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the visible variables realizable by the second. Knowing such dominance relations is us...

Marina Maciel Ansanelli, Elie Wolfe, Robert W. Spekkens · 0 citations
#machine learning Preprint Open access Sep 2026

Sublinear Variational Optimization of Gaussian Mixture Models with Millions to Billions of Parameters

Gaussian Mixture Models (GMMs) range among the most frequently used models in machine learning. However, training large, general GMMs becomes computationally prohibitive for data sets that have many data points $N$ of high-dimensionality $D$. For GMMs with arbitrary covariances, we here derive a highly efficient variat...

Sebastian Salwig, Till Kahlke, Florian Hirschberger et al. · 0 citations
#machine learning Open access Mar 2024

Fisher-Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients

This work studies Fisher-Rao gradient flows of linear programs more generally and shows linear convergence with a rate that depends on the geometry of the linear program, and shows sublinear convergence for perturbed Fisher-Rao gradient flows and natural gradient flows up to an approximation error.

Johannes Müller, Semih Cayci, Guido Montúfar · 6 citations
#machine learning Preprint Open access Sep 2026

Revenge of Monosemanticity: Neuron Specialization as a New Form of Feature Learning in MLPs

Understanding how neural networks learn and organize features is central to understanding their behavior. Much existing theory of feature learning has focused on the emergence of a global low-dimensional representation. We show that this picture is incomplete. In regression problems with clustered data, we demonstrate...

Amirhesam Abedsoltan, Enric Boix-Adsera, Fivos Kalogiannis et al. · 0 citations

Generalization Guarantees on Data-Driven Tuning of Gradient Descent with Langevin Updates

This work proves the existence of an optimal hyperparameter configuration for which the LGD algorithm achieves the Bayes'optimal solution for squared loss on regression tasks, and shows empirical evidence of the success of LGD and the meta learning procedure for few-shot learning on linear and logistic regression using...

Saumya Goyal, Rohith Rongali, Ritabrata Ray et al. · 1 citation

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