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DTSTAMP:20260805T205500Z
LOCATION:Room 408 A
DTSTART;TZID=America/Los_Angeles:20260722T154500
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UID:siggraph_SIGGRAPH 2026_sess123@linklings.com
SUMMARY:Walk This Way: Monte Carlo Geometry
DESCRIPTION:Probe-based Walk on Spheres for Efficient Path Reusing\n\nA Wa
 lk on Spheres-based Monte Carlo PDE solver that reuses full random walk pa
 ths via fixed probes, achieving lower variance and faster convergence on m
 ixed-boundary Laplace, Poisson, and screened Poisson problems.\n\n\nWancha
 o Huang, Yutian Zhu, Qing Fang, and Ligang Liu (University of Science and 
 Technology of China)\n---------------------\nGradient Domain Reconstructio
 n for Monte Carlo PDE Solvers\n\nWe present a gradient-domain Monte Carlo 
 framework for solving Poisson equations on complex domains. The method dir
 ectly estimates solution differences between query points and reconstructs
  the final solution efficiently, reducing variance and improving convergen
 ce without introducing additional bia...\n\n\nJiaqi Wu and Xuejun Hu (CS D
 ept, Tsinghua University); Shuang Zhao (University of Illinois Urbana-Cham
 paign); and Kun Xu (CS Dept, Tsinghua University)\n---------------------\n
 Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions\n\nThi
 s paper extends Monte Carlo PDE solvers to handle nonlinear radiative boun
 dary conditions using a Picard-style fixed-point iteration framework. It i
 ntroduces a heteroscedastic regression-based denoising method for boundary
  estimates and demonstrates the approach on heat radiation simulations wit
 h...\n\n\nAnchang Bao (School of Software and BNRist, Tsinghua University)
 ; Enya Shen (School of Software and BNRist, Tsinghua University; Haihe Lab
  of ITAI); and Jianmin Wang (School of Software and BNRist, Tsinghua Unive
 rsity)\n---------------------\nWalk on Decomposed Subdomains: A Hybrid Mon
 te Carlo–Deterministic Solver for Elliptic PDEs\n\nWe introduce a hybrid M
 onte Carlo-deterministic solver for elliptic PDEs on complex geometries. O
 ur method decomposes the domain into simple subdomains, estimates local so
 lution operators with Monte Carlo and couples them via a sparse linear sys
 tem, delivering low-variance solutions orders of magnit...\n\n\nClément Ja
 mbon, Mohammad Sina Nabizadeh, and Mina Konaković Luković (Massachusetts I
 nstitute of Technology (MIT))\n---------------------\nWalking on Spheres a
 nd Talking to Neighbors: Variance Reduction for Laplace's Equation\n\nWe i
 ntroduce a novel variance reduction scheme for Walk on Spheres with Laplac
 e's equation, demonstrate performance, and provide analytic guarantees on 
 performance.\n\n\nMichael Czekanski (Cornell University), Benjamin Faber (
 University of Wisconsin-Madison), Margaret Fairborn (Columbia University),
  Adelle Wright (University of Wisconsin-Madison), and David Bindel (Cornel
 l University)\n---------------------\nNeural Quadrature Rule and Autoregre
 ssive Adaptive Sampling\n\nLearnable adaptive sampler and integrator using
  Transformer.\n\n\nHaolin Lu, Liwen Wu, Zimo Wang, Tzu-Mao Li, and Ravi Ra
 mamoorthi (University of California San Diego)\n---------------------\nWal
 k This Way: Monte Carlo Geometry - Interactive Discussion\n\nAfter the sum
 mary presentations, attendees will participate in an interactive discussio
 n. Outside the room will be a series of poster boards for authors to gathe
 r around with the audience. Authors are invited to bring any material rela
 ted to their paper that could instigate further conversation such...\n\n\n
 Interest Area: Research & Education\n\nKeyword: Geometry, Modeling, Render
 ing, Simulation\n\nRegistration Category: Full Conference Supporter, Full 
 Conference\n\nSession Chair: Shuang Zhao (University of Illinois Urbana-Ch
 ampaign)
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