Search Results for author: Mohsen Heidari

Found 8 papers, 0 papers with code

Efficient Gradient Estimation of Variational Quantum Circuits with Lie Algebraic Symmetries

no code implementations7 Apr 2024 Mohsen Heidari, Masih Mozakka, Wojciech Szpankowski

Hybrid quantum-classical optimization and learning strategies are among the most promising approaches to harnessing quantum information or gaining a quantum advantage over classical methods.

Quantum Shadow Gradient Descent for Quantum Learning

no code implementations10 Oct 2023 Mohsen Heidari, Mobasshir A Naved, WenBo Xie, Arjun Jacob Grama, Wojciech Szpankowski

We propose a new technique for generating quantum shadow samples (QSS), which generates quantum shadows as opposed to classical shadows used in existing works.

Agnostic PAC Learning of k-juntas Using L2-Polynomial Regression

no code implementations8 Mar 2023 Mohsen Heidari, Wojciech Szpankowski

We derive an elegant upper bound on the 0-1 loss in terms of the MMSE error and show that the sign of the MMSE is a PAC learner for any concept class containing it.

Computational Efficiency PAC learning +1

Expected Worst Case Regret via Stochastic Sequential Covering

no code implementations9 Sep 2022 Changlong Wu, Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

We show that for a hypothesis class of VC-dimension $\mathsf{VC}$ and $i. i. d.$ generated features of length $T$, the cardinality of the stochastic global sequential covering can be upper bounded with high probability (whp) by $e^{O(\mathsf{VC} \cdot \log^2 T)}$.

Precise Regret Bounds for Log-loss via a Truncated Bayesian Algorithm

no code implementations7 May 2022 Changlong Wu, Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

We study the sequential general online regression, known also as the sequential probability assignments, under logarithmic loss when compared against a broad class of experts.

Toward Physically Realizable Quantum Neural Networks

no code implementations22 Mar 2022 Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

Current solutions for QNNs pose significant challenges concerning their scalability, ensuring that the postulates of quantum mechanics are satisfied and that the networks are physically realizable.

On Agnostic PAC Learning using $\mathcal{L}_2$-polynomial Regression and Fourier-based Algorithms

no code implementations11 Feb 2021 Mohsen Heidari, Wojciech Szpankowski

We develop a framework using Hilbert spaces as a proxy to analyze PAC learning problems with structural properties.

PAC learning regression

Learning k-qubit Quantum Operators via Pauli Decomposition

no code implementations10 Feb 2021 Mohsen Heidari, Wojciech Szpankowski

Our approach is based on the Pauli decomposition of quantum operators and a technique that we name Quantum Shadow Sampling (QSS) to reduce the sample complexity exponentially.

Quantum Physics Data Structures and Algorithms

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