Search Results for author: Min Jae Song

Found 8 papers, 1 papers with code

Cryptographic Hardness of Score Estimation

no code implementations4 Apr 2024 Min Jae Song

We show that $L^2$-accurate score estimation, in the absence of strong assumptions on the data distribution, is computationally hard even when sample complexity is polynomial in the relevant problem parameters.

Learning Single-Index Models with Shallow Neural Networks

no code implementations27 Oct 2022 Alberto Bietti, Joan Bruna, Clayton Sanford, Min Jae Song

Single-index models are a class of functions given by an unknown univariate ``link'' function applied to an unknown one-dimensional projection of the input.

Lattice-Based Methods Surpass Sum-of-Squares in Clustering

no code implementations7 Dec 2021 Ilias Zadik, Min Jae Song, Alexander S. Wein, Joan Bruna

Prior work on many similar inference tasks portends that such lower bounds strongly suggest the presence of an inherent statistical-to-computational gap for clustering, that is, a parameter regime where the clustering task is statistically possible but no polynomial-time algorithm succeeds.

Clustering

On the Cryptographic Hardness of Learning Single Periodic Neurons

no code implementations NeurIPS 2021 Min Jae Song, Ilias Zadik, Joan Bruna

More precisely, our reduction shows that any polynomial-time algorithm (not necessarily gradient-based) for learning such functions under small noise implies a polynomial-time quantum algorithm for solving worst-case lattice problems, whose hardness form the foundation of lattice-based cryptography.

Retrieval

Self-Supervised Motion Retargeting with Safety Guarantee

no code implementations11 Mar 2021 Sungjoon Choi, Min Jae Song, Hyemin Ahn, Joohyung Kim

In this paper, we present self-supervised shared latent embedding (S3LE), a data-driven motion retargeting method that enables the generation of natural motions in humanoid robots from motion capture data or RGB videos.

motion retargeting Position +1

Impact-driven Exploration with Contrastive Unsupervised Representations

no code implementations1 Jan 2021 Min Jae Song, Dan Kushnir

That is, we train the embedding with respect to cosine similarity, where we define two observations to be similar if the agent can reach one observation from the other within a few steps, and define impact in terms of this similarity measure.

Contrastive Learning

Evaluating representations by the complexity of learning low-loss predictors

1 code implementation15 Sep 2020 William F. Whitney, Min Jae Song, David Brandfonbrener, Jaan Altosaar, Kyunghyun Cho

We consider the problem of evaluating representations of data for use in solving a downstream task.

Continuous LWE

no code implementations19 May 2020 Joan Bruna, Oded Regev, Min Jae Song, Yi Tang

We introduce a continuous analogue of the Learning with Errors (LWE) problem, which we name CLWE.

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