~/talks

Ryan Williams

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  • ITCS3 editions2021–2023

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who talks about the same things

titleconferencedate
The Mystery of the Missing StringLower Bounds, Learning, and Average-Case Complexity2023-02-13
Equivalence between the simple missing string task and relativized exponential lower bounds: finding a string outside M strings of length N (with M ≈ 2^{εN})…
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Black-box Constructive Proofs are UnavoidableITCS 20232023-01-10
Main claim: proving NEXP not in a typical circuit class C is equivalent to the existence of a black-box constructivity — a randomized poly(n)-time oracle…
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On Oracles and Algorithmic Methods for Proving Lower BoundsITCS 20232023-01-10
Proves an equivalence between missing string circuit complexity and whether Σ2E requires exponential-size circuits relative to every oracle, constructs uniform…
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Smaller ACC0 Circuits for Symmetric FunctionsITCS 20222022-01-31
Every symmetric Boolean function on n bits admits small constant‑depth circuits using composite moduli: for any ε>0 there exists a modulus m so a depth‑3 mod‑m…
Talk
Improved Merlin-Arthur Protocols for Central Problems in Fine-Grained ComplexityITCS 20222022-01-31
Presents concrete Merlin–Arthur protocols and time bounds: near-linear MA for 3SUM by reducing to counting solutions mod d, encoding inputs as a polynomial…
Talk
On the Usefulness of the Strong Exponential Time Hypothesis50 Years of Satisfiability: The Centrality of SAT in the Theory of Computing2021-02-11
Argues Strong Exponential Time Hypothesis is likely false while conceding uncertainty, and shows that chasing that refutation yields concrete results…
Talk
Circuit Depth ReductionsITCS 20212021-01-06
Proves structural depth reductions: any size-S circuit is an OR of 2^{S/3} formulas (toy lemma) and the main result gives a depth-3 with top fan-in 2^{S/3.9}…
Talk
Time-Space Lower Bounds for Proof Systems with Quantum and Randomized VerifiersITCS 20212021-01-06
Proves a concrete lower bound: there is a language in QCMA running in linear time on a QRAM that cannot be decided by small‑space random‑access machines in…
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Portable, type-fancy multidimensional arraysTypelevel Summit Philadelphia 20192019-04-01
Implements the Zarr spec in portable Scala to store chunked multidimensional arrays (used for single-cell RNA with up to ~2 million cells × ~30,000 genes → ~60…
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Accelerating Single-cell Bioinformatics with N-dimensional ArraysPyData Miami 20192019-01-09
Claim: parallelize single-cell workflows across Spark Dask Pywren and Apache Beam and store arrays as Zarr instead of HDF5. Implements Zarr format in scanpy…
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A Review of Some Recent Lower Bounds Against Low-Depth Threshold CircuitsBoolean Devices 20182018-09-10
Presents concrete lower bounds: an explicit Andreev-style function needs superlinear gates and roughly n^{1.5}/polylog n size against depth‑3 TC0, proven by a…
Talk
Deterministic APSP, Orthogonal Vectors, and MoreComputational Complexity of Low-Polynomial Time Problems (Simons Institute workshop, 2015)2015-12-08
Claims deterministic subquadratic algorithms for Orthogonal Vectors when d = c log n (randomized version runs in n^{2−ε}; deterministic matches up to…
Talk
Circuit Analysis AlgorithmsFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Session argues a concrete algorithm–lower-bound duality and gives a worked algorithm that beats brute force for several circuit classes: constant-depth ACC…
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Circuit Complexity and Connections IFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Argues that small improvements in circuit algorithms yield provable lower bounds: a deterministic SAT speedup of roughly 2^n / n^10 already implies NEXP is not…
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Circuit Complexity and Connections IIFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Shows concrete equivalences: faster algorithms for restricted circuit SAT give explicit circuit lower bounds, and conversely lower bounds yield derandomization…
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Proof of NEXP Not in ACCFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Proves that showing a faster ACC-SAT algorithm yields circuit lower bounds: a subexponential-time SAT routine for constant-depth mod-m circuits implies some…
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