JA
Josh Alman
cs.DScs.CCcs.LGmath.COstat.MLcs.CLcs.AIcs.CGcs.NAmath.CA
On Valency
published · living versionsW_s7c8pz9c·v1 · currentpublished
Truly Subquadratic 3SUM and Truly Subcubic APSP via Triangles in Sparse Lopsided Graphs
with Virginia Vassilevska Williams
1 version
Preprints & journals
40 papers in the corpus · 2015–2026The edge of the asymptotic spectrum of tensors2604.01386v2 · Josh Alman, Baitian Li, Kevin Pratt2026 · 0 citationsarXiv
Asymptotic Rank Speedup Theorems, Revisited2605.21738v2 · Josh Alman, Baitian Li2026 · 0 citationsarXiv
More Asymmetry Yields Faster Matrix Multiplication2404.16349v3 · Josh Alman, Ran Duan, Virginia Vassilevska Williams et al.2024 · 35 citationsarXiv
Improving the matrix multiplication exponent with modern optimization and AlphaEvolve2608.16884v1 · Emilien Dupont, Marvin Eisenberger, Borislav Kozlovskii et al.2026 · 0 citationsarXiv
An algorithm for $k$-set cover2608.08328v1 · Josh Alman, Baitian Li, Kevin Pratt2026 · 0 citationsarXiv
Superlogarithmic-Rank Matrix Rigidity for the Walsh-Hadamard Transform2608.06592v1 · Josh Alman2026 · 0 citationsarXiv
Learning Functions of Halfspaces2603.08700v2 · Josh Alman, Shyamal Patel, Rocco A. Servedio2026 · 0 citationsarXiv
Kronecker Powers, Orthogonal Vectors, and the Asymptotic Spectrum2509.14489v1 · Josh Alman, Baitian Li2025 · 0 citationsarXiv
Faster exact learning of k-term DNFs with membership and equivalence queries2507.20336v1 · Josh Alman, Shivam Nadimpalli, Shyamal Patel et al.2025 · 1 citationarXiv
DNF Learning via Locally Mixing Random Walks2505.18839v1 · Josh Alman, Shivam Nadimpalli, Shyamal Patel et al.2025 · 1 citationarXiv
Fundamental Limitations on Subquadratic Alternatives to Transformers2410.04271v2 · Josh Alman, Hantao Yu2024 · 0 citationsarXiv
Only Large Weights (And Not Skip Connections) Can Prevent the Perils of Rank Collapse2505.16284v1 · Josh Alman, Zhao Song2025 · 0 citationsarXiv
Fast RoPE Attention: Combining the Polynomial Method and Fast Fourier Transform2505.11892v1 · Josh Alman, Zhao Song2025 · 0 citationsarXiv
Low Rank Matrix Rigidity: Tight Lower Bounds and Hardness Amplification2502.19580v1 · Josh Alman, Jingxun Liang2025 · 0 citationsarXiv
Faster Algorithms for Average-Case Orthogonal Vectors and Closest Pair Problems2410.22477v1 · Josh Alman, Alexandr Andoni, Hengjie Zhang2024 · 0 citationsarXiv
Improving the Leading Constant of Matrix Multiplication2410.20538v1 · Josh Alman, Hantao Yu2024 · 2 citationsarXiv
A Refined Laser Method and Faster Matrix Multiplication2010.05846v2 · Josh Alman, Virginia Vassilevska Williams2020 · 50 citationsTheoretiCS, Volume 3 (September 4, 2024) theoretics:11261
Finer-Grained Hardness of Kernel Density Estimation2407.02372v1 · Josh Alman, Yunfeng Guan2024 · 0 citationsarXiv
Tensor Ranks and the Fine-Grained Complexity of Dynamic Programming2309.04683v2 · Josh Alman, Ethan Turok, Hantao Yu et al.2023 · 1 citationarXiv
Generalizations of Matrix Multiplication can solve the Light Bulb Problem2311.01630v1 · Josh Alman, Hengjie Zhang2023 · 1 citationarXiv
How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation2310.04064v1 · Josh Alman, Zhao Song2023 · 1 citationarXiv
Faster Walsh-Hadamard and Discrete Fourier Transforms From Matrix Non-Rigidity2211.06459v2 · Josh Alman, Kevin Rao2022 · 3 citationsarXiv
Bypass Exponential Time Preprocessing: Fast Neural Network Training via Weight-Data Correlation Preprocessing2211.14227v1 · Josh Alman, Jiehao Liang, Zhao Song et al.2022 · 6 citationsarXiv
Smaller Low-Depth Circuits for Kronecker Powers2211.05217v1 · Josh Alman, Yunfeng Guan, Ashwin Padaki2022 · 1 citationarXiv
Faster Walsh-Hadamard Transform and Matrix Multiplication over Finite Fields using Lookup Tables2211.04643v1 · Josh Alman2022 · 1 citationarXiv
Parameterized Sensitivity Oracles and Dynamic Algorithms using Exterior Algebras2204.10819v2 · Josh Alman, Dean Hirsch2022 · 0 citationsarXiv
Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation2205.06249v1 · Amol Aggarwal, Josh Alman2022 · 2 citationsarXiv
Metric Transforms and Low Rank Matrices via Representation Theory of the Real Hyperrectangle2011.11503v2 · Josh Alman, Timothy Chu, Gary Miller et al.2020 · 1 citationarXiv
Kronecker Products, Low-Depth Circuits, and Matrix Rigidity2102.11992v1 · Josh Alman2021 · 8 citationsarXiv
Algorithms and Hardness for Linear Algebra on Geometric Graphs2011.02466v1 · Josh Alman, Timothy Chu, Aaron Schild et al.2020 · 5 citationsarXiv
Faster Update Time for Turnstile Streaming Algorithms1911.01351v1 · Josh Alman, Huacheng Yu2019 · 4 citationsarXiv
Limits on the Universal Method for Matrix Multiplication1812.08731v2 · Josh Alman2018 · 3 citationsarXiv
Limits on All Known (and Some Unknown) Approaches to Matrix Multiplication1810.08671v1 · Josh Alman, Virginia Vassilevska Williams2018 · 36 citationsarXiv
An Illuminating Algorithm for the Light Bulb Problem1810.06740v1 · Josh Alman2018 · 12 citationsarXiv
Probabilistic Rank and Matrix Rigidity1611.05558v2 · Josh Alman, Ryan Williams2016 · 53 citationsarXiv
Further limitations of the known approaches for matrix multiplication1712.07246v1 · Josh Alman, Virginia Vassilevska Williams2017 · 6 citationsarXiv
Cell-Probe Lower Bounds from Online Communication Complexity1704.06185v2 · Josh Alman, Joshua R. Wang, Huacheng Yu2017 · 3 citationsarXiv
Dynamic Parameterized Problems and Algorithms1707.00362v1 · Josh Alman, Matthias Mnich, Virginia Vassilevska Williams2017 · 10 citationsarXiv
Probabilistic Polynomials and Hamming Nearest Neighbors1507.05106v1 · Josh Alman, Ryan Williams2015 · 95 citationsarXiv
Polynomial Representations of Threshold Functions and Algorithmic Applications1608.04355v1 · Josh Alman, Timothy M. Chan, Ryan Williams2016 · 69 citationsarXiv
Career total: 74 works. 40 are in this corpus.
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