A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks. - Phan-Minh Nguyen; Huy Tuan Pham (CoRR, 2020)

A Note on the Global Convergence of Multilayer Neural Networks in the Mean Field Regime. - Huy Tuan Pham; Phan-Minh Nguyen (CoRR, 2020)

Towards the sampling Lovász Local Lemma. - Vishesh Jain; Huy Tuan Pham; Thuy-Duong Vuong (FOCS, 2021)

Global Convergence of Three-layer Neural Networks in the Mean Field Regime. - Huy Tuan Pham; Phan-Minh Nguyen (ICLR, 2021)

Limiting fluctuation and trajectorial stability of multilayer neural networks with mean field training. - Huy Tuan Pham; Phan-Minh Nguyen (NeurIPS, 2021)

On the sampling Lovász Local Lemma for atomic constraint satisfaction problems. - Vishesh Jain; Huy Tuan Pham; Thuy-Duong Vuong (CoRR, 2021)

Spectral independence, coupling with the stationary distribution, and the spectral gap of the Glauber dynamics. - Vishesh Jain; Huy Tuan Pham; Thuy-Duong Vuong (CoRR, 2021)

Entropic Independence in High-Dimensional Expanders: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Polynomials and the Ising Model. - Nima Anari; Vishesh Jain; Frederic Koehler; Huy Tuan Pham; Thuy-Duong Vuong (CoRR, 2021)

Entropic Independence II: Optimal Sampling and Concentration via Restricted Modified Log-Sobolev Inequalities. - Nima Anari; Vishesh Jain; Frederic Koehler; Huy Tuan Pham; Thuy-Duong Vuong (CoRR, 2021)

A Proof of the Kahn-Kalai Conjecture. - Jinyoung Park; Huy Tuan Pham (FOCS, 2022)

Entropic independence: optimal mixing of down-up random walks. - Nima Anari; Vishesh Jain; Frederic Koehler; Huy Tuan Pham; Thuy-Duong Vuong (STOC, 2022)

Dimension reduction for maximum matchings and the Fastest Mixing Markov Chain. - Vishesh Jain; Huy Tuan Pham; Thuy-Duong Vuong (CoRR, 2022)

On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes. - Jinyoung Park; Huy Tuan Pham (CoRR, 2022)

Robust thresholds: Counting triangle factors and A shorter proof of the robust Corrádi-Hajnal Theorem. - Huy Tuan Pham (CoRR, 2022)

Spectral independence, coupling, and the spectral gap of the Glauber dynamics. - Vishesh Jain; Huy Tuan Pham; Thuy-Duong Vuong (Inf. Process. Lett., 2022)

Optimal mixing of the down-up walk on independent sets of a given size. - Vishesh Jain; Marcus Michelen; Huy Tuan Pham; Thuy-Duong Vuong (FOCS, 2023)

Universality of Spectral Independence with Applications to Fast Mixing in Spin Glasses. - Nima Anari; Vishesh Jain; Frederic Koehler; Huy Tuan Pham; Thuy-Duong Vuong (SODA, 2024)

Optimal thresholds for Latin squares, Steiner Triple Systems, and edge colorings. - Vishesh Jain; Huy Tuan Pham (SODA, 2024)

A multipartite analogue of Dilworth's Theorem. - Jacob Fox; Huy Tuan Pham (CoRR, 2024)

Sunflowers in set systems with small VC-dimension. - József Balogh; Anton Bernshteyn; Michelle Delcourt; Asaf Ferber; Huy Tuan Pham (CoRR, 2024)

Spread blow-up lemma with an application to perturbed random graphs. - Rajko Nenadov; Huy Tuan Pham (CoRR, 2024)

On the clique number of random Cayley graphs and related topics. - David Conlon; Jacob Fox; Huy Tuan Pham; Liana Yepremyan (CoRR, 2024)

Small subsets with large sumset: Beyond the Cauchy-Davenport bound. - Jacob Fox; Sammy Luo; Huy Tuan Pham; Yunkun Zhou (Comb. Probab. Comput., 2024)

Set-Coloring Ramsey Numbers and Error-Correcting Codes Near the Zero-Rate Threshold. - David Conlon; Jacob Fox; Huy Tuan Pham; Yufei Zhao (IEEE Trans. Inf. Theory, 2024)

On random irregular subgraphs. - Jacob Fox; Sammy Luo; Huy Tuan Pham (Random Struct. Algorithms, 2024)

A Sharp Version of Talagrand's Selector Process Conjecture and an Application to Rounding Fractional Covers. - Huy Tuan Pham (STOC, 2025)