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Biological tissues are complex structures composed of many elements which make light-based tissue diagnostics challenging. Over the past decades, Monte Carlo technique has been used as a fundamental and versatile approach toward modeling…

Optics · Physics 2024-05-17 Maryam Ghahremani

Deep learning systems extensively use convolution operations to process input data. Though convolution is clearly defined for structured data such as 2D images or 3D volumes, this is not true for other data types such as sparse point…

Computer Vision and Pattern Recognition · Computer Science 2018-09-26 Pedro Hermosilla , Tobias Ritschel , Pere-Pau Vázquez , Àlvar Vinacua , Timo Ropinski

Convolutional Neural Networks demonstrate high performance on ImageNet Large-Scale Visual Recognition Challenges contest. Nevertheless, the published results only show the overall performance for all image classes. There is no further…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Mingming Wang

Many machine learning applications require operating on a spatially distributed dataset. Despite technological advances, privacy considerations and communication constraints may prevent gathering the entire dataset in a central unit. In…

Machine Learning · Statistics 2024-01-30 Alexandros E. Tzikas , Licio Romao , Mert Pilanci , Alessandro Abate , Mykel J. Kochenderfer

Real-time path tracing increasingly operates under extremely low sampling budgets, often below one sample per pixel, as rendering complexity, resolution, and frame-rate requirements continue to rise. While super-resolution is widely used in…

Graphics · Computer Science 2026-02-10 Martin Bálint , Corentin Salaün , Hans-Peter Seidel , Karol Myszkowski

We propose neural control variates (NCV) for unbiased variance reduction in parametric Monte Carlo integration. So far, the core challenge of applying the method of control variates has been finding a good approximation of the integrand…

Machine Learning · Computer Science 2020-09-07 Thomas Müller , Fabrice Rousselle , Jan Novák , Alexander Keller

Accelerating neural radiance fields training is of substantial practical value, as the ray sampling strategy profoundly impacts network convergence. More efficient ray sampling can thus directly enhance existing NeRF models' training…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Shilei Sun , Ming Liu , Zhongyi Fan , Yuxue Liu , Chengwei Lv , Liquan Dong , Lingqin Kong

We derive a Markov Chain Monte Carlo sampler based on following ray paths in a medium where the refractive index $n(x)$ is a function of the desired likelihood $\mathcal{L}(x)$. The sampling method propagates rays at constant speed through…

Instrumentation and Methods for Astrophysics · Physics 2025-10-31 Peter Behroozi

Monte Carlo approaches to radiation transport have several attractive properties such as simplicity of implementation, high accuracy, and good parallel scaling. Moreover, Monte Carlo methods can handle complicated geometries and are…

Solar and Stellar Astrophysics · Physics 2015-06-04 Ernazar Abdikamalov , Adam Burrows , Christian D. Ott , Frank Löffler , Evan O'Connor , Joshua C. Dolence , Erik Schnetter

Sampling-based path planning is a widely used method in robotics, particularly in high-dimensional state space. Among the whole process of the path planning, collision detection is the most time-consuming operation. In this paper, we…

Robotics · Computer Science 2023-11-23 Xingrong Diao , Wenzheng Chi , Jiankun Wang

Monte Carlo statistical ray-tracing methods are commonly employed to simulate carrier transport in nanostructured materials. In the case of a large degree of nanostructuring and under linear response (small driving fields), these…

Mesoscale and Nanoscale Physics · Physics 2023-02-09 Pankaj Priyadarshi , Neophytos Neophytou

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

Despite recent advances in hardware acceleration of ray tracing, real-time ray budgets remain stubbornly limited at a handful of samples per pixel (spp) on commodity hardware, placing the onus on denoising algorithms to achieve high visual…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Arturo Salmi , Szabolcs Cséfalvay , James Imber

We develop diffusion-based samplers for target distributions known up to a normalising constant. To this end, we rely on the well-known diffusion path that smoothly interpolates between a simple base distribution and the target, popularised…

Achieving robust uncertainty quantification for deep neural networks represents an important requirement in many real-world applications of deep learning such as medical imaging where it is necessary to assess the reliability of a neural…

Machine Learning · Computer Science 2024-03-15 Tim Rensmeyer , Oliver Niggemann

Ray tracing has become a standard for accurate radio propagation modeling, but suffers from exponential computational complexity, as the number of candidate paths scales with the number of objects raised to the interaction order. This…

Simulation-free methods for training continuous-time generative models construct probability paths that go between noise distributions and individual data samples. Recent works, such as Flow Matching, derived paths that are optimal for each…

We are witnessing an explosion of neural implicit representations in computer vision and graphics. Their applicability has recently expanded beyond tasks such as shape generation and image-based rendering to the fundamental problem of…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Jiaming Sun , Xi Chen , Qianqian Wang , Zhengqi Li , Hadar Averbuch-Elor , Xiaowei Zhou , Noah Snavely

Oftentimes, machine learning applications using neural networks involve solving discrete optimization problems, such as in pruning, parameter-isolation-based continual learning and training of binary networks. Still, these discrete problems…

Machine Learning · Computer Science 2024-02-19 Hugo Silva , Martha White

Although some non-trivial photon number resolving detectors exist, it may still be convenient to discriminate photon number states with the method of multiplexed detection. Multiplexing can be performed with paths in real space, with paths…

Quantum Physics · Physics 2016-01-25 Filippo. M. Miatto , Akbar Safari , Robert W. Boyd