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Fanqi Yan

5 accepted papers

2025

On Minimax Estimation of Parameters in Softmax-Contaminated Mixture of Experts

NeurIPS 2025poster

The softmax-contaminated mixture of experts (MoE) model is deployed when a large-scale pre-trained model, which plays the role of a fixed expert, is fine-tuned for learning downstream tasks by including a new contamination part, or prompt, functioning as a new, trainable expert. Despite its populari…

Cited by 0SourceScholar
2025

Understanding Expert Structures on Minimax Parameter Estimation in Contaminated Mixture of Experts

AISTATS 2025poster

We conduct the convergence analysis of parameter estimation in the contaminated mixture of experts. This model is motivated from the prompt learning problem where ones utilize prompts, which can be formulated as experts, to fine-tune a large-scale pre-trained model for learning downstream tasks. The…

Cited by 0SourceScholar
2024

Statistical Perspective of Top-K Sparse Softmax Gating Mixture of Experts

ICLR 2024poster

Top-K sparse softmax gating mixture of experts has been widely used for scaling up massive deep-learning architectures without increasing the computational cost. Despite its popularity in real-world applications, the theoretical understanding of that gating function has remained an open problem. The…

Cited by 17SourcePDFScholar
2020

Probabilistic Inference with Algebraic Constraints: Theoretical Limits and Practical Approximations

NeurIPS 2020spotlight

Weighted model integration (WMI) is a framework to perform advanced probabilistic inference on hybrid domains, i.e., on distributions over mixed continuous-discrete random variables and in presence of complex logical and arithmetic constraints. In this work, we advance the WMI framework on both the…

Cited by 16SourcePDFScholar
2020

Scaling up Hybrid Probabilistic Inference with Logical and Arithmetic Constraints via Message Passing

ICML 2020poster

Weighted model integration (WMI) is an appealing framework for probabilistic inference: it allows for expressing the complex dependencies in real-world problems, where variables are both continuous and discrete, via the language of Satisfiability Modulo Theories (SMT), as well as to compute probabil…