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New algorithms tackle complex multi-level optimization problems · 2 papers

Two new research papers introduce novel algorithms for complex optimization problems. The first paper, "Solving Finite-sum Coupled Compositional Optimization via Multi-block-Single-probe Estimator," proposes a Multi-block-Single-probe Variance Reduction (MSVR) estimator to efficiently handle problems with multiple nested functions where only a subset of blocks can be sampled at each iteration. The second paper, "Projection-Free Multi-level Algorithms for Stochastic Constrained Compositional Optimization," focuses on projection-free methods for nested optimization problems with constraints, developing algorithms that rely on linear minimization oracles and offering complexity guarantees for various objective types. AI

IMPACT These papers introduce advanced optimization techniques that could improve the efficiency and applicability of machine learning models in complex scenarios.

RANK_REASON Two academic papers published on arXiv detailing new optimization algorithms.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New algorithms tackle complex multi-level optimization problems · 2 papers

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Two academic papers published on arXiv detailing new optimization algorithms.
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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Wei Jiang, Sifan Yang, Yibo Wang, Lijun Zhang, Zechao Li ·

    Solving Finite-sum Coupled Compositional Optimization via Multi-block-Single-probe Estimator

    arXiv:2609.15723v1 Announce Type: new Abstract: Traditional variance reduction methods (e.g., SPIDER, SARAH, STORM) have been extensively investigated for improving the convergence rates of stochastic optimization. These techniques typically maintain a sequence of estimators for …

  2. arXiv cs.LG TIER_1 English(EN) · Wei Jiang, Sifan Yang, Wenhao Yang, Yibo Wang, Yuanyu Wan, Zechao Li, Lijun Zhang ·

    Projection-Free Multi-level Algorithms for Stochastic Constrained Compositional Optimization

    arXiv:2609.15679v1 Announce Type: cross Abstract: This paper studies projection-free algorithms for stochastic constrained multi-level compositional optimization. In this context, the objective function is a nested composition of several smooth functions, and the decision set is …