Search Results for author: Taihei Oki

Found 8 papers, 1 papers with code

Online Structured Prediction with Fenchel--Young Losses and Improved Surrogate Regret for Online Multiclass Classification with Logistic Loss

no code implementations13 Feb 2024 Shinsaku Sakaue, Han Bao, Taira Tsuchiya, Taihei Oki

We extend the exploit-the-surrogate-gap framework to online structured prediction with \emph{Fenchel--Young losses}, a large family of surrogate losses including the logistic loss for multiclass classification, obtaining finite surrogate regret bounds in various structured prediction problems.

Classification Structured Prediction

Data-Driven Projection for Reducing Dimensionality of Linear Programs: Generalization Bound and Learning Methods

no code implementations1 Sep 2023 Shinsaku Sakaue, Taihei Oki

On the theoretical side, a natural question is: how much data is sufficient to ensure the quality of recovered solutions?

Generalization Bounds

Rethinking Warm-Starts with Predictions: Learning Predictions Close to Sets of Optimal Solutions for Faster $\text{L}$-/$\text{L}^\natural$-Convex Function Minimization

no code implementations2 Feb 2023 Shinsaku Sakaue, Taihei Oki

The main technical difficulty lies in learning predictions that are provably close to sets of all optimal solutions, for which we present an online-gradient-descent-based method.

Improved Generalization Bound and Learning of Sparsity Patterns for Data-Driven Low-Rank Approximation

no code implementations17 Sep 2022 Shinsaku Sakaue, Taihei Oki

Specifically, for rank-$k$ approximation using an $m \times n$ learned sketching matrix with $s$ non-zeros in each column, they proved an $\tilde{\mathrm{O}}(nsm)$ bound on the \emph{fat shattering dimension} ($\tilde{\mathrm{O}}$ hides logarithmic factors).

Lazy and Fast Greedy MAP Inference for Determinantal Point Process

1 code implementation13 Jun 2022 Shinichi Hemmi, Taihei Oki, Shinsaku Sakaue, Kaito Fujii, Satoru Iwata

One classical and practical method is the lazy greedy algorithm, which is applicable to general submodular function maximization, while a recent fast greedy algorithm based on the Cholesky factorization is more efficient for DPP MAP inference.

Point Processes

Sample Complexity of Learning Heuristic Functions for Greedy-Best-First and A* Search

no code implementations20 May 2022 Shinsaku Sakaue, Taihei Oki

Motivated by this emerging approach, we study the sample complexity of learning heuristic functions for GBFS and A*.

Discrete-Convex-Analysis-Based Framework for Warm-Starting Algorithms with Predictions

no code implementations20 May 2022 Shinsaku Sakaue, Taihei Oki

Augmenting algorithms with learned predictions is a promising approach for going beyond worst-case bounds.

Multi-dimensional Graph Fourier Transform

no code implementations21 Dec 2017 Takashi Kurokawa, Taihei Oki, Hiromichi Nagao

The proposed methods are applicable to a wide variety of data that can be regarded as signals on Cartesian product graphs.

Time Series Analysis

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