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In this work we investigate methods to improve the efficiency and scalability of quantum algorithms for quantum chemistry applications. We propose a transformation of the electronic structure Hamiltonian in the second quantization framework…

One of the open challenges in quantum computing is to find meaningful and practical methods to leverage quantum computation to accelerate classical machine learning workflows. A ubiquitous problem in machine learning workflows is sampling…

Quantum Physics · Physics 2024-08-08 Owen Lockwood , Peter Weiss , Filip Aronshtein , Guillaume Verdon

Dataset condensation can be used to reduce the computational cost of training multiple models on a large dataset by condensing the training dataset into a small synthetic set. State-of-the-art approaches rely on matching the model gradients…

Machine Learning · Computer Science 2024-05-29 Mucong Ding , Yuancheng Xu , Tahseen Rabbani , Xiaoyu Liu , Brian Gravelle , Teresa Ranadive , Tai-Ching Tuan , Furong Huang

We present ATC, a C++ library for advanced Tucker-based lossy compression of dense multidimensional numerical data in a shared-memory parallel setting, based on the sequentially truncated higher-order singular value decomposition (ST-HOSVD)…

Mathematical Software · Computer Science 2024-07-02 Wouter Baert , Nick Vannieuwenhoven

Hamiltonian Monte Carlo (HMC) is a premier Markov Chain Monte Carlo (MCMC) algorithm for continuous target distributions. Its full potential can only be unleashed when its problem-dependent hyperparameters are tuned well. The adaptation of…

Computation · Statistics 2022-05-10 Pavel Sountsov , Matt D. Hoffman

Unlike traditional distributed machine learning, federated learning stores data locally for training and then aggregates the models on the server, which solves the data security problem that may arise in traditional distributed machine…

Machine Learning · Computer Science 2023-01-02 Wan Jiang , Gang Liu , Xiaofeng Chen , Yipeng Zhou

Efficient sampling from ensembles of Hamiltonian cycles is critical for predicting the thermodynamic properties of compact polymers, with applications including modeling protein and RNA folding and designing soft materials. Although…

Quantum Physics · Physics 2026-03-16 Davide Rattacaso , Daniel Jaschke , Antonio Trovato , Ilaria Siloi , Simone Montangero

We present a novel quantum optimization-based route compression technique that significantly reduces storage requirements compared to conventional methods. Route optimization systems face critical challenges in efficiently storing selected…

Quantum Physics · Physics 2025-04-07 Shunsuke Sotobayashi , Yuichiro Minato , Takao Tomono

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

Machine Learning · Statistics 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis

Hamiltonian dynamics can be used to produce distant proposals for the Metropolis algorithm, thereby avoiding the slow exploration of the state space that results from the diffusive behaviour of simple random-walk proposals. Though…

Computation · Statistics 2021-06-30 Radford M. Neal

In the field of biological research, it is essential to comprehend the characteristics and functions of molecular sequences. The classification of molecular sequences has seen widespread use of neural network-based techniques. Despite their…

Machine Learning · Computer Science 2024-02-14 Sarwan Ali , Tamkanat E Ali , Prakash Chourasia , Murray Patterson

In this paper we provide a framework for combining multiple quantum simulation methods, such as Trotter-Suzuki formulas and QDrift into a single Composite channel that builds upon older coalescing ideas for reducing gate counts. The central…

Quantum Physics · Physics 2023-11-15 Matthew Hagan , Nathan Wiebe

This paper proposes a momentum-constrained hybrid heuristic trajectory optimization framework (MHHTOF) tailored for assistive navigation in visually impaired scenarios, integrating trajectory sampling generation, optimization and evaluation…

Robotics · Computer Science 2025-12-08 Yuting Zeng , Zhiwen Zheng , You Zhou , JiaLing Xiao , Yongbin Yu , Manping Fan , Bo Gong , Liyong Ren

As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

The problem of sampling constrained continuous distributions has frequently appeared in many machine/statistical learning models. Many Monte Carlo Markov Chain (MCMC) sampling methods have been adapted to handle different types of…

Computation · Statistics 2023-02-21 Shiwei Lan , Lulu Kang

We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis. The proposed strategy combines the superior sampling of the Hamiltonian Monte Carlo method with…

Machine Learning · Statistics 2024-01-11 Denny Thaler , Somayajulu L. N. Dhulipala , Franz Bamer , Bernd Markert , Michael D. Shields

Hamiltonian Monte Carlo is a prominent Markov Chain Monte Carlo algorithm, which employs symplectic integrators to sample from high dimensional target distributions in many applications, such as statistical mechanics, Bayesian statistics…

Numerical Analysis · Mathematics 2025-02-13 Geoffrey McGregor , Andy T. S. Wan

Model predictive control (MPC) is a promising technique for motion cueing in driving simulators, but its high computation time limits widespread real-time application. This paper proposes a hybrid algorithm that combines filter-based and…

Robotics · Computer Science 2023-09-06 Vishrut Jain , Andrea Lazcano , Riender Happee , Barys Shyrokau

Block compression is a widely used technique to compress textures in real-time graphics applications, offering a reduction in storage size. However, their storage efficiency is constrained by the fixed compression ratio, which substantially…

Image and Video Processing · Electrical Eng. & Systems 2024-10-24 Shin Fujieda , Takahiro Harada

The powerful molecular dynamics (MD) simulation is basically based on a picture that the atoms experience classical-like trajectories under the exertion of classical force field determined by the quantum mechanically solved electronic…

Chemical Physics · Physics 2013-12-16 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang