Mika Göös
Sup. I am an assistant professor at EPFL in the Theory Group.
Previously, I was a post-doc at Stanford, Princeton IAS, and Harvard. I completed my PhD at University of Toronto under the scrutiny of Toniann Pitassi. I obtained my MSc from the University of Oxford and my BSc from Aalto University.
[ Google scholar ]
E-mail: mika.goos@epfl.ch
Teaching:
Current team:
- Dmitry Sokolov, Scientist
- Nathaniel Harms, Postdoc
- Gilbert Maystre, PhD
- Weiqiang Yuan, PhD (co-advised by Ola Svensson)
- Ziyi Guan, PhD (co-advised by Alessandro Chiesa)
- Anastasia Sofronova, PhD
- Artur Riazanov, PhD
- Valentin Imbach, PhD
- Konstantin Myasnikov, MSc Research Fellow
- Alexander Shekhovtsov, MSc Research Fellow
Publications
- Direct Sums for Parity Decision Trees
with Tyler Besselman, Siyao Guo, Gilbert Maystre, and Weiqiang Yuan
Manuscript, 2024
- Supercritical Tradeoffs for Monotone Circuits
with Gilbert Maystre, Kilian Risse, and Dmitry Sokolov
Manuscript, 2024
- Constant-Cost Communication is not Reducible to k-Hamming Distance
with Yuting Fang, Nathaniel Harms, and Pooya Hatami
Manuscript, 2024
- Quantum Communication Advantage in TFNP
with Tom Gur, Siddhartha Jain, and Jiawei Li
Manuscript, 2024
- Hardness Condensation by Restriction
with Ilan Newman, Artur Riazanov, and Dmitry Sokolov
- One-Way Functions vs. TFNP: Simpler and Improved
with Lukáš Folwarczný, Pavel Hubáček, Gilbert Maystre, and Weiqiang Yuan
- Top-Down Lower Bounds for Depth-Four Circuits
with Artur Riazanov, Anastasia Sofronova, and Dmitry Sokolov
- Conference version: Proc. 64th Foundations of Computer Science (FOCS), 2023
- Video: Mika presenting at Simons Institute, 24th July 2023
- Depth-3 Circuits for Inner Product
with Ziyi Guan and Tiberiu Mosnoi
- Communication Complexity of Collision
with Siddhartha Jain
- Conference version: Proc. 26th Conference on Randomization and Computation (RANDOM), 2022
- Video: Siddhartha presenting at RANDOM, September 2022
- Randomised Composition and Small-Bias Minimax
with Shalev Ben-David, Eric Blais, and Gilbert Maystre
- Separations in Proof Complexity and TFNP
with Alexandros Hollender, Siddhartha Jain, Gilbert Maystre, William Pires, Robert Robere, and Ran Tao
- Further Collapses in TFNP
with Alexandros Hollender, Siddhartha Jain, Gilbert Maystre, William Pires, Robert Robere, and Ran Tao
- Lower Bounds for Unambiguous Automata via Communication Complexity
with Stefan Kiefer, and Weiqiang Yuan
- Conference version: Proc. 49th International Colloquium on Automata, Languages, and Programming (ICALP), 2022
- Proofs, Circuits, and Communication
with Susanna de Rezende and Robert Robere
- Journal version: SIGACT News Complexity Theory Column 112, 2022
- Video: Robert presenting at FOCS workshop
- On Semi-Algebraic Proofs and Algorithms
with Noah Fleming, Stefan Grosser, and Robert Robere
- Conference version: Proc. 13th Innovations in Theoretical Computer Science (ITCS), 2022
- Video: Stefan presenting at ITCS
- Unambiguous DNFs and Alon–Saks–Seymour
with Kaspars Balodis, Shalev Ben-David, Siddhartha Jain, and Robin Kothari
- A Majority Lemma for Randomised Query Complexity
with Gilbert Maystre
- Conference version: Proc. 36th Computational Complexity Conference (CCC), 2021
- Video: Gilbert presenting at CCC, July 2021
- On the Power and Limitations of Branch and Cut
with Noah Fleming, Russell Impagliazzo, Toniann Pitassi, Robert Robere, Li-Yang Tan, Avi Wigderson
- Conference version: Proc. 36th Computational Complexity Conference (CCC), 2021
- Video: Noah presenting at CCC, July 2021
- Automating Algebraic Proof Systems is NP-Hard
with Susanna de Rezende, Jakob Nordström, Toniann Pitassi, Robert Robere, and Dmitry Sokolov
- Conference version: Proc. 53rd Symposium on Theory of Computing (STOC), 2021
- Video: Mika presenting at BIRS, 22nd January 2020
- Video: Susanna presenting at TCS Women Spotlight Workshop, 25th June 2020
- Video: Susanna presenting at STOC, June 2021
- Automating Cutting Planes is NP-Hard
with Sajin Koroth, Ian Mertz, and Toniann Pitassi
- Conference version: Proc. 52nd Symposium on Theory of Computing (STOC), 2020
- Video: Ian presenting at STOC, 15th June 2020
- When Is Amplification Necessary for Composition in Randomized Query Complexity?
with Shalev Ben-David, Robin Kothari, and Thomas Watson
- Conference version: Proc. 24th Conference on Randomization and Computation (RANDOM), 2020
- Video: Tom presenting at RANDOM, August 2020
- The Power of Many Samples in Query Complexity
with Andrew Bassilakis, Andrew Drucker, Lunjia Hu, Weiyun Ma, and Li-Yang Tan
- Conference version: Proc. 47th International Colloquium on Automata, Languages, and Programming (ICALP), 2020
- Video: Weiyun and Lunjia presenting at ICALP, June 2020
- On the Complexity of Modulo-q Arguments and the Chevalley–Warning Theorem
with Pritish Kamath, Katerina Sotiraki, and Manolis Zampetakis
- Conference version: Proc. 35th Computational Complexity Conference (CCC), 2020
- Video: Katerina presenting at CCC, August 2020
- A Lower Bound for Sampling Disjoint Sets
with Thomas Watson
- String Matching: Communication, Circuits, and Learning
with Alexander Golovnev, Daniel Reichman, and Igor Shinkar
- Adventures in Monotone Complexity and TFNP
with Pritish Kamath, Robert Robere, and Dmitry Sokolov
- Conference version: Proc. 10th Innovations in Theoretical Computer Science (ITCS), 2019
- Video: Mika presenting at Princeton Theory Lunch, 21st September 2018
- Video: Mika presenting at IAS, 26th September 2018
- Slides, 21st September 2018
- Near-Optimal Communication Lower Bounds for Approximate Nash Equilibria
with Aviad Rubinstein
- Conference version: Proc. 59th Foundations of Computer Science (FOCS), 2018
- Video: Aviad presenting at FOCS, 8th October 2018
- A Tight Lower Bound for Entropy Flattening
with Yi-Hsiu Chen, Salil Vadhan, and Jiapeng Zhang
- Monotone Circuit Lower Bounds from Resolution
with Ankit Garg, Pritish Kamath, and Dmitry Sokolov
- Query-to-Communication Lifting for BPP
with Toniann Pitassi and Thomas Watson
- Query-to-Communication Lifting for PNP
with Pritish Kamath, Toniann Pitassi, and Thomas Watson
- Extension Complexity of Independent Set Polytopes
with Rahul Jain and Thomas Watson
- Separations in Communication Complexity Using Cheat Sheets and Information Complexity
with Anurag Anshu, Aleksandrs Belovs, Shalev Ben-David, Rahul Jain, Robin Kothari, Troy Lee, and Miklos Santha
- Conference version: Proc. 57th Foundations of Computer Science (FOCS), 2016
- Video: Robin presenting at FOCS, 11th October 2016
- Non-local Probes Do Not Help with Many Graph Problems
with Juho Hirvonen, Reut Levi, Moti Medina, and Jukka Suomela
- A Composition Theorem for Conical Juntas
with T.S. Jayram
- Conference version: Proc. 31st Computational Complexity Conference (CCC), 2016
- Video: Jayram presenting at IHP, 15th February 2016
- Slides, 29th May 2016
- Randomized Communication vs. Partition Number
with T.S. Jayram, Toniann Pitassi, and Thomas Watson
- Deterministic Communication vs. Partition Number
with Toniann Pitassi and Thomas Watson
- Journal version: SICOMP, 2018
- Conference version: Proc. 56th Foundations of Computer Science (FOCS), 2015
- Video: Mika presenting at TCS+, 30th September 2015
- Video: Toni presenting at Simons Institute, 23rd April 2015
- Slides, 30th September 2015
- Subsequent work: Ambainis, Balodis, Belovs, Lee, Santha, and Smotrovs extended our construction to resolve several old problems in query complexity! See also Scott Aaronson's blog.
- The Landscape of Communication Complexity Classes
with Toniann Pitassi and Thomas Watson
- Lower Bounds for Clique vs. Independent Set
- Rectangles Are Nonnegative Juntas
with Shachar Lovett, Raghu Meka, Thomas Watson, and David Zuckerman
- Zero-Information Protocols and Unambiguity in Arthur–Merlin Communication
with Toniann Pitassi and Thomas Watson
- Communication Complexity of Set-Disjointness for All Probabilities
with Thomas Watson
- Communication Lower Bounds via Critical Block Sensitivity
with Toniann Pitassi
- Linear-in-Delta Lower Bounds in the LOCAL Model
with Juho Hirvonen and Jukka Suomela
- Separating OR, SUM, and XOR Circuits
with Magnus Find, Matti Järvisalo, Petteri Kaski, Mikko Koivisto, and Janne H. Korhonen
- What Can Be Decided Locally Without Identifiers?
with Pierre Fraigniaud, Amos Korman, and Jukka Suomela
- Randomized Distributed Decision
with Pierre Fraigniaud, Amos Korman, Merav Parter, and David Peleg
- No Sublogarithmic-Time Approximation Scheme for Bipartite Vertex Cover
with Jukka Suomela
- Lower Bounds for Local Approximation
with Juho Hirvonen and Jukka Suomela
- Journal version: Journal of the ACM, 2013
- Conference version: Proc. 31st Symposium on Principles of Distributed Computing (PODC), 2012
- Co-recipient of Best Student Paper Award
- Slides, 2nd April 2012
- Locally Checkable Proofs in Distributed Computing
with Jukka Suomela
- Search Methods for Tile Sets in Patterned DNA Self-Assembly
with Tuomo Lempiäinen, Eugen Czeizler, and Pekka Orponen
- Journal version: Journal of Computer and System Sciences, 2014
- Conference version: Proc. 16th International Conference on DNA Computing and Molecular Programming (DNA 16), 2011
- Slides, 15th June 2010
Theses
For a laugh/nostalgic purposes:
Past advising
- Alexandros Hollender (Postdoc 2023)
- Tiberiu Mosnoi (MSc 2024). Thesis: Convexity Strategies In Quantitative Finance
- Dejan Kovac (MSc 2023). Thesis: Time-Space tradeoffs for finding collisions in hash functions
- Deniz Imrek (MSc 2022). Thesis: Parity Game Decision Complexity
- Siddhartha Jain (MSc 2022). Thesis: Kolmogorov complexity & Derandomization
- Dragoljub Duric (MSc 2022). Thesis: Double Choco is NP-complete
Archive
Misc