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Riemannian Stochastic Optimization for Sufficient Dimension Reduction

arXiv:2606.00413v1 Announce Type: cross Abstract: Sufficient dimension reduction (SDR) makes high-dimensional regression tractable by projecting the covariates onto a low-dimensional subspace that preserves the conditional mean of the response. Existing gradient-based estimators either operate in the ambient space and suffer from the curse of dimensionality, or localize in the reduced space at a per-outer-iteration cost at least quadratic in the sample size. We show that minimizers of the...

arXiv CS 8d ago

'My cousin stopped speaking to me from nursing home then I made sickening discovery'

'My cousin stopped speaking to me from nursing home then I made sickening discovery' As our elderly population soars, shocking evidence shows there has been a worrying increase in the number of older people being financially abused – even within their own families As our elderly population soars, there has been a worrying increase in the number of older people being financially abused – even within their own families. With more than a quarter of over 65s in England needing some form of...

Daily Mirror 10d ago

Rethinking RL Evaluation: Can Benchmarks Truly Reveal Failures of RL Methods?

arXiv:2510.10541v2 Announce Type: replace Abstract: Current benchmarks are inadequate for evaluating progress in reinforcement learning (RL) for large language models (LLMs).Despite recent benchmark gains reported for RL, we find that training on these benchmarks' training sets achieves nearly the same performance as training directly on the test sets, suggesting that the benchmarks cannot reliably separate further progress. To study this phenomenon, we introduce a diagnostic suite and the...

arXiv CS 8d ago