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Log-concave Sampling from a Convex Body with a Barrier: a Robust and Unified Dikin Walk
Given a convex body, generate samples from the body according to structured densities is a fundamental problem in computer science and machine learning.
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The Fine-Grained Complexity of Gradient Computation for Training Large Language Models
To train an LLM, one needs to alternatingly run'forward' computations and'backward' computations.
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Parameterized Approximation Schemes for Fair-Range Clustering
It imposes lower and upper bound constraints on the number of facilities opened for each label, ensuring fair representation of all demographic groups by the selected facilities.
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