no code implementations • 4 Mar 2024 • Umut Şimşekli, Mert Gürbüzbalaban, Sinan Yildirim, Lingjiong Zhu
Injecting heavy-tailed noise to the iterates of stochastic gradient descent (SGD) has received increasing attention over the past few years.
1 code implementation • 31 Jan 2023 • Barış Alparslan, Sinan Yildirim, Ş. İlker Birbil
We develop a novel generative statistical model for privately shared statistics, which exploits a useful distributional relation between the summary statistics of linear regression.
1 code implementation • 19 Jan 2023 • Sinan Yildirim
We propose a novel online and adaptive truncation method for differentially private Bayesian online estimation of a static parameter regarding a population.
no code implementations • 7 Sep 2022 • Vahid Tavakol Aghaei, Arda Ağababaoğlu, Biram Bawo, Peiman Naseradinmousavi, Sinan Yildirim, Serhat Yeşilyurt, Ahmet Onat
Our MCMC-based RL algorithm is a model-free and gradient-free algorithm, in which the designer does not have to know the precise dynamics of the plant and its uncertainties.
1 code implementation • 24 Mar 2022 • Baris Alparslan, Sinan Yildirim
This paper concerns differentially private Bayesian estimation of the parameters of a population distribution, when a statistic of a sample from that population is shared in noise to provide differential privacy.
1 code implementation • 12 Dec 2021 • S. İlker Birbil, Sinan Yildirim, Kaya Gökalp, M. Hakan Akyüz
We call this algorithm ``LEarning with Subset Stacking'' or LESS, due to its resemblance to the method of stacking regressors.
1 code implementation • 5 Aug 2020 • Nurdan Kuru, Ş. İlker Birbil, Mert Gurbuzbalaban, Sinan Yildirim
The first algorithm is inspired by Polyak's heavy ball method and employs a smoothing approach to decrease the accumulated noise on the gradient steps required for differential privacy.
no code implementations • pproximateinference AABI Symposium 2019 • Mehmet Burak Kurutmaz, Melih Barsbey, Ali Taylan Cemgil, Sinan Yildirim, Umut Şimşekli
We believe that the Bayesian approach to causal discovery both allows the rich methodology of Bayesian inference to be used in various difficult aspects of this problem and provides a unifying framework to causal discovery research.
1 code implementation • 11 Mar 2019 • Ali Taylan Cemgil, Mehmet Burak Kurutmaz, Sinan Yildirim, Melih Barsbey, Umut Simsekli
We introduce a dynamic generative model, Bayesian allocation model (BAM), which establishes explicit connections between nonnegative tensor factorization (NTF), graphical models of discrete probability distributions and their Bayesian extensions, and the topic models such as the latent Dirichlet allocation.
no code implementations • 3 Sep 2018 • Ertunc Erdil, Sinan Yildirim, Tolga Tasdizen, Mujdat Cetin
In this paper, we propose an efficient pseudo-marginal Markov chain Monte Carlo (MCMC) sampling approach to draw samples from posterior shape distributions for image segmentation.
no code implementations • CVPR 2016 • Ertunc Erdil, Sinan Yildirim, Müjdat Çetin, Tolga Taşdizen
With a statistical view, addressing these issues would involve the problem of characterizing the posterior densities of the shapes of the objects to be segmented.
no code implementations • 8 Oct 2014 • Lan Jiang, Sumeetpal S. Singh, Sinan Yildirim
We propose a new Bayesian tracking and parameter learning algorithm for non-linear non-Gaussian multiple target tracking (MTT) models.
no code implementations • 11 Jan 2014 • Sinan Yildirim, A. Taylan Cemgil, Sumeetpal S. Singh
In this paper we formulate the nonnegative matrix factorisation (NMF) problem as a maximum likelihood estimation problem for hidden Markov models and propose online expectation-maximisation (EM) algorithms to estimate the NMF and the other unknown static parameters.
no code implementations • 17 Nov 2013 • Sinan Yildirim, Sumeetpal Singh, Thomas Dean, Ajay Jasra
We propose sequential Monte Carlo based algorithms for maximum likelihood estimation of the static parameters in hidden Markov models with an intractable likelihood using ideas from approximate Bayesian computation.
Computation Methodology