From 6bf1f4407b70986473c55da73481ae4eae048f51 Mon Sep 17 00:00:00 2001 From: rafisudrajat Date: Fri, 19 Jun 2026 15:55:30 +1000 Subject: [PATCH 1/4] Add VOPP project page --- _bibliography/project_11.bib | 10 ++ _projects/11_project_rdl.md | 115 ++++++++++++++++++ assets/img/project_img/vopp/crowd_nav_0.png | Bin 0 -> 704210 bytes .../img/project_img/vopp/ma_rocksample_2.png | Bin 0 -> 43608 bytes .../img/project_img/vopp/unc_navigation_2.png | Bin 0 -> 13900 bytes 5 files changed, 125 insertions(+) create mode 100644 _bibliography/project_11.bib create mode 100644 _projects/11_project_rdl.md create mode 100644 assets/img/project_img/vopp/crowd_nav_0.png create mode 100644 assets/img/project_img/vopp/ma_rocksample_2.png create mode 100644 assets/img/project_img/vopp/unc_navigation_2.png diff --git a/_bibliography/project_11.bib b/_bibliography/project_11.bib new file mode 100644 index 0000000..7a98ff7 --- /dev/null +++ b/_bibliography/project_11.bib @@ -0,0 +1,10 @@ +--- +--- +@inproceedings{Hoe26:VOPP, + author = {M. Hoerger and M. Sudrajat and H. Kurniawati}, + title = {Vectorized Online {POMDP} Planning}, + booktitle = {Proc. IEEE Int. Conf. on Robotics and Automation (ICRA)}, + year = {2026}, + pdf = {papers/icra26_VOPP.pdf}, + bibtex_show={true}, +} diff --git a/_projects/11_project_rdl.md b/_projects/11_project_rdl.md new file mode 100644 index 0000000..5957b58 --- /dev/null +++ b/_projects/11_project_rdl.md @@ -0,0 +1,115 @@ +--- +layout: page +title: "Vectorized Online POMDP Planning (VOPP)" +description: "VOPP: a fully GPU-parallelized online POMDP solver that is at least 20× faster than the state-of-the-art parallel solver, using pure tensor operations with no synchronization overhead." +img: assets/img/project_img/vopp/ma_rocksample_2.png +importance: 11 +category: active +do_not_show_post_desc: true +--- + +

Abstract

+ +

+We present the Vectorized Online POMDP Planner (VOPP), a fully GPU-parallelized online solver for planning under partial observability in robotics. The Partially Observable Markov Decision Process (POMDP) is a powerful framework for sequential decision-making under uncertainty, capturing the stochastic effects of actions and the noisy, partial information available to autonomous robots. POMDP solving could benefit enormously from massive parallelization on modern hardware, but parallelizing online POMDP solvers has remained difficult: most approaches interleave numerical optimization over actions with value estimation, creating data dependencies and synchronization bottlenecks that erode the gains of parallel execution. +

+ +

+VOPP overcomes this by building on a recent POMDP formulation — Partially Observable Reference Policy Programming (PORPP) — that analytically solves part of the optimization, reducing the remaining numerical work to the estimation of expectations alone. This lets VOPP express every step of online planning as batched tensor operations under the SIMD paradigm of GPUs, eliminating the action-value interleaving that limits prior parallel solvers. The result is a massively parallel online solver running entirely on the GPU, using tens of thousands of parallel simulations to compute a policy with no explicit synchronization between simulations required. +

+ +

+Experimental results on three POMDP benchmark problems — +Multi-Agent Rocksample (MARS), +Navigation in a partially known map, and +CrowdNav — indicate that VOPP is at least 20× more efficient in +computing near-optimal policies compared to HyP-DESPOT, the current state-of-the-art parallel +online POMDP solver. For some benchmarks, VOPP is more than 100× faster than +HyP-DESPOT. Furthermore, VOPP outperforms state-of-the-art sequential online solvers while using +a planning budget that is 1000× smaller. +

+ +

Key Idea: Planning as Pure Tensor Computation

+ +

+Most parallel online POMDP solvers build on Monte Carlo Tree Search (MCTS), which interleaves +action selection (requiring maximization or UCB scores over action values) with value estimation +(forward simulation and backup). This interleaving creates data dependencies between concurrent +processes, forcing synchronization that offsets the benefits of GPU parallelism. +

+ +

+VOPP takes a different route. It builds on PORPP, a POMDP formulation that casts the Bellman +optimality objective as a log-sum-exp over action preferences. This analytical treatment of the +optimization step means the only remaining numerical work is estimating expectations — a +naturally data-parallel operation. VOPP represents the entire belief tree +Τ = {B, A, Ψ} as a collection of three 2D tensors (beliefs, actions, +and preferences), and implements both the forward search and the preference backup as single +batched tensor operations over this representation. +

+ +

Benchmark Problems

+ +

+We evaluated VOPP on three challenging planning-under-uncertainty problems: +

+ + + +
+
+ {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/unc_navigation_2.png" title="Navigation in a partially known map" class="img-fluid rounded z-depth-1" %} +
Navigation in a partially known map
+
+
+ {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/ma_rocksample_2.png" title="Multi-Agent Rocksample (MARS)" class="img-fluid rounded z-depth-1" %} +
Multi-Agent Rocksample (MARS)
+
+
+ {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/crowd_nav_0.png" title="CrowdNav" class="img-fluid rounded z-depth-1" %} +
CrowdNav
+
+
+ +

Results

+ +

+VOPP was compared against HyP-DESPOT (the state-of-the-art parallel online solver), DESPOT, and POMCP on MARS and Navigation, across planning budgets of 0.01s to 1.0s per step. +

+ + + +

+VOPP will be released as open source software. +

+ +

Paper

+ +

+ M. Hoerger, M. Sudrajat, H. Kurniawati. Vectorized Online POMDP Planning. + IEEE International Conference on Robotics and Automation (ICRA), 2026. + [PDF] +

+ +

References

+ +
+ {% bibliography --file project_11.bib %} +
+ +

People

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{% if page.do_not_show_post_title != true %} -

{{ page.title | capitalize}}

+

{{ page.title }}

{% endif %} {% if page.do_not_show_post_desc != true %}

{{ page.description }}

From 45cfa1397cfdefd81cac61c57a1b2b8f17986d6f Mon Sep 17 00:00:00 2001 From: hoergems Date: Fri, 26 Jun 2026 12:01:22 +1000 Subject: [PATCH 3/4] Update VOPP project page --- _layouts/page.liquid | 4 +- _projects/11_project_rdl.md | 170 +++++++++++++++++++++++++----------- 2 files changed, 121 insertions(+), 53 deletions(-) diff --git a/_layouts/page.liquid b/_layouts/page.liquid index 333fcbc..43162ba 100644 --- a/_layouts/page.liquid +++ b/_layouts/page.liquid @@ -11,7 +11,9 @@ layout: default
{% if page.do_not_show_post_title != true %} -

{{ page.title }}

+

+ {{ page.title }} +

{% endif %} {% if page.do_not_show_post_desc != true %}

{{ page.description }}

diff --git a/_projects/11_project_rdl.md b/_projects/11_project_rdl.md index 5957b58..de85856 100644 --- a/_projects/11_project_rdl.md +++ b/_projects/11_project_rdl.md @@ -1,52 +1,114 @@ --- layout: page title: "Vectorized Online POMDP Planning (VOPP)" +center_title: true description: "VOPP: a fully GPU-parallelized online POMDP solver that is at least 20× faster than the state-of-the-art parallel solver, using pure tensor operations with no synchronization overhead." -img: assets/img/project_img/vopp/ma_rocksample_2.png +img: assets/img/project_img/vopp/vopp_overview.png importance: 11 category: active do_not_show_post_desc: true --- -

Abstract

+ +
+

+ Marcus Hoerger, Muhammad Sudrajat, Hanna Kurniawati +

+
+ +
+ + ICRA 2026 + +
+ +
+ + +

-We present the Vectorized Online POMDP Planner (VOPP), a fully GPU-parallelized online solver for planning under partial observability in robotics. The Partially Observable Markov Decision Process (POMDP) is a powerful framework for sequential decision-making under uncertainty, capturing the stochastic effects of actions and the noisy, partial information available to autonomous robots. POMDP solving could benefit enormously from massive parallelization on modern hardware, but parallelizing online POMDP solvers has remained difficult: most approaches interleave numerical optimization over actions with value estimation, creating data dependencies and synchronization bottlenecks that erode the gains of parallel execution. +Vectorized Online POMDP Planner (VOPP) is a fully vectorized online POMDP solver that performs planning entirely through batched tensor operations. The Partially Observable Markov Decision Process (POMDP) is a powerful framework for sequential decision-making under uncertainty, capturing the stochastic effects of actions and the noisy, partial information available to autonomous robots. POMDP solving could benefit enormously from massive parallelization on modern multicore hardware, but parallelizing online POMDP solvers has remained difficult: most approaches interleave numerical optimization to find actions with the highest expected total reward and estimation of expected total rewards themselves. This creates dependencies and synchronization bottlenecks during planning that can quickly diminish the gains of parallelization.

-VOPP overcomes this by building on a recent POMDP formulation — Partially Observable Reference Policy Programming (PORPP) — that analytically solves part of the optimization, reducing the remaining numerical work to the estimation of expectations alone. This lets VOPP express every step of online planning as batched tensor operations under the SIMD paradigm of GPUs, eliminating the action-value interleaving that limits prior parallel solvers. The result is a massively parallel online solver running entirely on the GPU, using tens of thousands of parallel simulations to compute a policy with no explicit synchronization between simulations required. +VOPP takes a fundamentally different approach. It builds on a recent POMDP formulation — Partially Observable Reference Policy Programming (PORPP) — which introduces analytical value functions. This eliminates the need for numerical optimization during planning, leaving only the estimation of expectations to be performed numerically, which can be parallelized efficiently. VOPP exploits this by implementing all online planning operations as fully vectorized computations over a tensor-based planning data structure. The result is a massively parallel online POMDP solver that fully harnesses the immense data-parallel throughput of modern multicore hardware, such as GPUs. In practice, VOPP computes policies using tens of thousands of parallel simulations with no explicit synchronization between simulations required.

+
+
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/vopp_overview.png" + title="Overview of VOPP" + class="img-fluid rounded z-depth-1" %} +
+ Overview of the Vectorized Online POMDP Planner (VOPP). +
+
+
+

-Experimental results on three POMDP benchmark problems — -Multi-Agent Rocksample (MARS), -Navigation in a partially known map, and -CrowdNav — indicate that VOPP is at least 20× more efficient in -computing near-optimal policies compared to HyP-DESPOT, the current state-of-the-art parallel -online POMDP solver. For some benchmarks, VOPP is more than 100× faster than -HyP-DESPOT. Furthermore, VOPP outperforms state-of-the-art sequential online solvers while using +Experimental results on three POMDP benchmark problems indicate that VOPP is at least 20× more efficient in +computing near-optimal policies compared to a state-of-the-art parallel +online POMDP solver. For some benchmarks, VOPP is more than 100× faster. Furthermore, VOPP outperforms state-of-the-art sequential online solvers while using a planning budget that is 1000× smaller.

-

Key Idea: Planning as Pure Tensor Computation

+

Key Idea: Planning as Batched Tensor Computations

+ +
+
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/belief_tree.png" + title="Overview of VOPP" + class="img-fluid" %} +
+ Traditional online POMDP solvers (left) represent belief trees as linked node structures that are traversed and expanded sequentially. VOPP (right) represents belief trees as a collection of tensors, enabling planning to be formulated as batched tensor operations over this representation. +
+
+

-Most parallel online POMDP solvers build on Monte Carlo Tree Search (MCTS), which interleaves -action selection (requiring maximization or UCB scores over action values) with value estimation -(forward simulation and backup). This interleaving creates data dependencies between concurrent -processes, forcing synchronization that offsets the benefits of GPU parallelism. -

+Similar to most online POMDP solvers, VOPP performs guided belief space sampling followed by backup operations to construct a belief tree and evaluate different action sequences. However, unlike existing solvers, VOPP represents a belief tree as a collection of tensors $\{B, A, \Psi\}$ with belief node tensor $B$, action node tensor $A$ and action-preference tensor $\Psi$. Using this tensor representation, VOPP iterates the following steps during planning: + +
    +
  • Vectorized forward search: Starting from the currently belief, VOPP performs tens of thousands of batched forward simulations in parallel to expand the belief tree
  • +
  • Vectorized preference backup: Starting from all leaf nodes, VOPP traverses the belief tree back to the root, updating the action preferences and belief values of all nodes at each depth using batched tensor operations.
  • +
+ +Together, these two vectorized operations transform online POMDP planning from sequential tree traversal into a sequence of batched tensor computations, eliminating the synchronization bottlenecks of existing parallel solvers and fully exploiting the massive parallelism of modern multicore hardware, including GPUs. + +
+
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/vopp_forward_search.png" + title="Overview of VOPP" + class="img-fluid" %} +
+ VOPP uses fully vectorized forward simulations during search to expand the belief tree. +
+
+
-

-VOPP takes a different route. It builds on PORPP, a POMDP formulation that casts the Bellman -optimality objective as a log-sum-exp over action preferences. This analytical treatment of the -optimization step means the only remaining numerical work is estimating expectations — a -naturally data-parallel operation. VOPP represents the entire belief tree -Τ = {B, A, Ψ} as a collection of three 2D tensors (beliefs, actions, -and preferences), and implements both the forward search and the preference backup as single -batched tensor operations over this representation. -

Benchmark Problems

@@ -55,22 +117,45 @@ We evaluated VOPP on three challenging planning-under-uncertainty problems:

    -
  • Multi-Agent Rocksample (MARS) — two cooperative agents on an n×n map sample good rocks while avoiding bad ones. MARS(50,50) has an action space of 3025 actions and a state space too large for HyP-DESPOT and POMCP to handle.
  • Navigation in a partially known map — a robot navigates a 13×13 grid with randomly placed obstacles visible only through noisy local sensing. State space size: 169×2124.
  • +
  • Multi-Agent Rocksample (MARS) — two cooperative rovers on a n×n map sample good rocks while avoiding bad ones. The quality of rocks must be inferred through noisy sensor readings. MARS(50,50) has an action space of 3025 actions and a state space too large for HyP-DESPOT and POMCP to handle.
  • CrowdNav — a Stretch 3 mobile robot navigates a 50×40m conference hall populated by 300 people whose behavior (curious or shy) is initially unknown and must be inferred online.
-
- {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/unc_navigation_2.png" title="Navigation in a partially known map" class="img-fluid rounded z-depth-1" %} +
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/unc_navigation_2.png" + title="Navigation in a partially known map" + class="rounded z-depth-1" + height="200" + width="auto" + %}
Navigation in a partially known map
-
- {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/ma_rocksample_2.png" title="Multi-Agent Rocksample (MARS)" class="img-fluid rounded z-depth-1" %} + +
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/ma_rocksample_2.png" + title="Multi-Agent Rocksample (MARS)" + class="rounded z-depth-1" + height="200" + width="auto" + %}
Multi-Agent Rocksample (MARS)
-
- {% include figure.liquid loading="eager" path="assets/img/project_img/vopp/crowd_nav_0.png" title="CrowdNav" class="img-fluid rounded z-depth-1" %} + +
+ {% include figure.liquid + loading="eager" + path="assets/img/project_img/vopp/crowd_nav_0.png" + title="CrowdNav" + class="rounded z-depth-1" + height="200" + width="auto" + %}
CrowdNav
@@ -89,27 +174,8 @@ VOPP was compared against HyP-DESPOT (the state-of-the-art parallel online solve
  • Against sequential solvers (DESPOT, POMCP) running at 10s/step, VOPP with 0.01s/step still achieves better results — a 1000× smaller planning budget.
  • -

    -VOPP will be released as open source software. -

    - -

    Paper

    - -

    - M. Hoerger, M. Sudrajat, H. Kurniawati. Vectorized Online POMDP Planning. - IEEE International Conference on Robotics and Automation (ICRA), 2026. - [PDF] -

    -

    References

    {% bibliography --file project_11.bib %}
    - -

    People

    -
      -
    • Marcus Hoerger
    • -
    • Muhammad Sudrajat
    • -
    • Hanna Kurniawati
    • -
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