The Quantum Version of Prediction for Binary Classification Problem by
Ensemble Methods
- URL: http://arxiv.org/abs/2112.13346v1
- Date: Sun, 26 Dec 2021 10:25:34 GMT
- Title: The Quantum Version of Prediction for Binary Classification Problem by
Ensemble Methods
- Authors: Kamil Khadiev and Liliia Safina
- Abstract summary: We consider the performance of using a quantum algorithm to predict a result for a binary classification problem.
We propose an algorithm which works in $Oleft(sqrtN cdot Tright)$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work, we consider the performance of using a quantum algorithm to
predict a result for a binary classification problem if a machine learning
model is an ensemble from any simple classifiers. Such an approach is faster
than classical prediction and uses quantum and classical computing, but it is
based on a probabilistic algorithm. Let $N$ be a number of classifiers from an
ensemble model and $O(T)$ be the running time of prediction on one classifier.
In classical case, an ensemble model gets answers from each classifier and
"averages" the result. The running time in classical case is $O\left( N \cdot T
\right)$. We propose an algorithm which works in $O\left(\sqrt{N} \cdot
T\right)$.
Related papers
- Binary Search with Distributional Predictions [26.193119064206304]
We study algorithms with distributional predictions, where the prediction itself is a distribution.
We show that there are simple distributions where using the classical prediction-based algorithm with any single prediction does poorly.
This also yields the first distributionally-robust algorithm for the classical problem of computing an optimal binary search tree.
arXiv Detail & Related papers (2024-11-25T01:15:31Z) - Sum-of-Squares inspired Quantum Metaheuristic for Polynomial Optimization with the Hadamard Test and Approximate Amplitude Constraints [76.53316706600717]
Recently proposed quantum algorithm arXiv:2206.14999 is based on semidefinite programming (SDP)
We generalize the SDP-inspired quantum algorithm to sum-of-squares.
Our results show that our algorithm is suitable for large problems and approximate the best known classicals.
arXiv Detail & Related papers (2024-08-14T19:04:13Z) - Generalized Hybrid Search and Applications to Blockchain and Hash
Function Security [50.16790546184646]
We first examine the hardness of solving various search problems by hybrid quantum-classical strategies.
We then construct a hybrid quantum-classical search algorithm and analyze its success probability.
arXiv Detail & Related papers (2023-11-07T04:59:02Z) - Efficiently Learning One-Hidden-Layer ReLU Networks via Schur
Polynomials [50.90125395570797]
We study the problem of PAC learning a linear combination of $k$ ReLU activations under the standard Gaussian distribution on $mathbbRd$ with respect to the square loss.
Our main result is an efficient algorithm for this learning task with sample and computational complexity $(dk/epsilon)O(k)$, whereepsilon>0$ is the target accuracy.
arXiv Detail & Related papers (2023-07-24T14:37:22Z) - Mind the $\tilde{\mathcal{O}}$: Asymptotically Better, but Still
Impractical, Quantum Distributed Algorithms [0.0]
We present two algorithms in the Quantum CONGEST-CLIQUE model of distributed computation that succeed with high probability.
The algorithms achieve a lower round and message complexity than any known algorithms in the classical CONGEST-CLIQUE model.
An existing framework for using distributed version of Grover's search algorithm to accelerate triangle finding lies at the core of the speedup.
arXiv Detail & Related papers (2023-04-06T02:18:52Z) - Private estimation algorithms for stochastic block models and mixture
models [63.07482515700984]
General tools for designing efficient private estimation algorithms.
First efficient $(epsilon, delta)$-differentially private algorithm for both weak recovery and exact recovery.
arXiv Detail & Related papers (2023-01-11T09:12:28Z) - Quantum Resources Required to Block-Encode a Matrix of Classical Data [56.508135743727934]
We provide circuit-level implementations and resource estimates for several methods of block-encoding a dense $Ntimes N$ matrix of classical data to precision $epsilon$.
We examine resource tradeoffs between the different approaches and explore implementations of two separate models of quantum random access memory (QRAM)
Our results go beyond simple query complexity and provide a clear picture into the resource costs when large amounts of classical data are assumed to be accessible to quantum algorithms.
arXiv Detail & Related papers (2022-06-07T18:00:01Z) - Rethinking Nearest Neighbors for Visual Classification [56.00783095670361]
k-NN is a lazy learning method that aggregates the distance between the test image and top-k neighbors in a training set.
We adopt k-NN with pre-trained visual representations produced by either supervised or self-supervised methods in two steps.
Via extensive experiments on a wide range of classification tasks, our study reveals the generality and flexibility of k-NN integration.
arXiv Detail & Related papers (2021-12-15T20:15:01Z) - Quantum Ensemble for Classification [2.064612766965483]
A powerful way to improve performance in machine learning is to construct an ensemble that combines the predictions of multiple models.
We propose a new quantum algorithm that exploits quantum superposition, entanglement and interference to build an ensemble of classification models.
arXiv Detail & Related papers (2020-07-02T11:26:54Z) - Robust quantum minimum finding with an application to hypothesis
selection [0.0]
We consider the problem of finding the minimum element in a list of length $N$ using a noisy comparator.
We demonstrate a quantum algorithm for noisy quantum minimum-finding that preserves the quadratic speedup of the noiseless case.
We expect robust quantum minimum-finding to be a useful building block for algorithms in situations where the comparator is resolution-limited or subject to some uncertainty.
arXiv Detail & Related papers (2020-03-26T07:42:05Z) - Learning Sparse Classifiers: Continuous and Mixed Integer Optimization
Perspectives [10.291482850329892]
Mixed integer programming (MIP) can be used to solve (to optimality) $ell_0$-regularized regression problems.
We propose two classes of scalable algorithms: an exact algorithm that can handlepapprox 50,000$ features in a few minutes, and approximate algorithms that can address instances with $papprox6$.
In addition, we present new estimation error bounds for $ell$-regularizeds.
arXiv Detail & Related papers (2020-01-17T18:47:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.