Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids. - Nima Anari; Kuikui Liu; Shayan Oveis Gharan; Cynthia Vinzant (CoRR, 2018)

Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid. - Nima Anari; Kuikui Liu; Shayan Oveis Gharan; Cynthia Vinzant (STOC, 2019)

Log-Concave Polynomials IV: Exchange Properties, Tight Mixing Times, and Faster Sampling of Spanning Trees. - Nima Anari; Kuikui Liu; Shayan Oveis Gharan; Cynthia Vinzant (CoRR, 2020)

From Coupling to Spectral Independence and Blackbox Comparison with the Down-Up Walk. - Kuikui Liu (APPROX-RANDOM, 2021)

A Matrix Trickle-Down Theorem on Simplicial Complexes and Applications to Sampling Colorings. - Dorna Abdolazimi; Kuikui Liu; Shayan Oveis Gharan (FOCS, 2021)

Log-concave polynomials IV: approximate exchange, tight mixing times, and near-optimal sampling of forests. - Nima Anari; Kuikui Liu; Shayan Oveis Gharan; Cynthia Vinzant; Thuy-Duong Vuong (STOC, 2021)

Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion. - Zongchen Chen; Kuikui Liu; Eric Vigoda (STOC, 2021)

Strong Spatial Mixing for Colorings on Trees and its Algorithmic Applications. - Zongchen Chen; Kuikui Liu; Nitya Mani; Ankur Moitra (FOCS, 2023)

Pipeline Parallelism for DNN Inference with Practical Performance Guarantees. - Aaron Archer; Matthew Fahrbach; Kuikui Liu; Prakash Prabhu (CoRR, 2023)

Spectral Independence A New Tool to Analyze Markov Chains - Kuikui Liu (2023)

Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction. - Zongchen Chen; Kuikui Liu; Eric Vigoda (SIAM J. Comput., 2023)

Locally Stationary Distributions: A Framework for Analyzing Slow-Mixing Markov Chains. - Kuikui Liu; Sidhanth Mohanty; Prasad Raghavendra; Amit Rajaraman; David X. Wu (FOCS, 2024)

Fast Mixing in Sparse Random Ising Models. - Kuikui Liu; Sidhanth Mohanty; Amit Rajaraman; David X. Wu (FOCS, 2024)

Practical Performance Guarantees for Pipelined DNN Inference. - Aaron Archer; Matthew Fahrbach; Kuikui Liu; Prakash Prabhu (ICML, 2024)

Counterexamples to a Weitz-Style Reduction for Multispin Systems. - Kuikui Liu; Nitya Mani; Francisco Pernice (CoRR, 2024)

Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model. - Nima Anari; Kuikui Liu; Shayan Oveis Gharan (SIAM J. Comput., 2024)

Spectral Independence via Stability and Applications to Holant-Type Problems. - Zongchen Chen; Kuikui Liu; Eric Vigoda (TheoretiCS, 2024)

On zeros and algorithms for disordered systems: mean-field spin glasses. - Ferenc Bencs; Kuikui Liu; Guus Regts (CoRR, 2025)