{"id":1188748,"date":"2026-10-07T01:54:28","date_gmt":"2026-10-07T08:54:28","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&#038;p=1188748"},"modified":"2026-10-07T01:54:30","modified_gmt":"2026-10-07T08:54:30","slug":"diver-decision-critical-verifier-learning-for-vla-test-time-scaling","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/diver-decision-critical-verifier-learning-for-vla-test-time-scaling\/","title":{"rendered":"DiVeR: Decision-Critical Verifier Learning for VLA Test-Time Scaling"},"content":{"rendered":"\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"398\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2-1024x398.png\" alt=\"Comparison of routine and decision-critical states, showing that high decision criticality corresponds to greater action-candidate divergence and occurs sparsely across LIBERO-Long trajectories.\" class=\"wp-image-1188842\" srcset=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2-1024x398.png 1024w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2-767x298.png 767w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2-300x117.png 300w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2-240x93.png 240w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig1-2.png 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"abstract\">Abstract<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Scaling robot data and model capacity has improved Vision-Language-Action (VLA) policies, but further progress is constrained by the high cost of robotic data. Verifier-guided test-time scaling offers an efficient alternative by sampling multiple action candidates and selecting the one most likely to lead to task success at inference time. Existing classification-based verifiers learn from trajectory-level outcomes but treat all visited states equally, even though their value for candidate discrimination can vary across a trajectory. At many states, plausible actions are similar and provide limited discrimination signal, while only a sparse set of decision-critical states admits meaningfully different actions that can substantially affect downstream outcomes. To address this, we propose DiVeR, which estimates decision criticality from the dispersion of sampled action representations. DiVeR then uses this signal to reweight verifier learning toward states where action selection is most consequential, without requiring step-level annotations or additional environment interaction. Across LIBERO, RoboCasa, and real-world experiments on a Franka Research 3 robot, DiVeR consistently improves task success through more effective verifier-guided action selection, while adding negligible verifier inference overhead.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"method-overview\">Method Overview<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"494\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-1024x494.png\" alt=\"Diagram of the DiVeR framework showing decision-criticality estimation from VLA action candidates, decision-weighted verifier training, and verifier-guided action selection at inference.\" class=\"wp-image-1188843\" srcset=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-1024x494.png 1024w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-300x145.png 300w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-767x370.png 767w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-1244x600.png 1244w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2-240x116.png 240w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig2-2.png 1493w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">We propose <strong>DiVeR<\/strong>, a decision-criticality-weighted verifier for VLA test-time scaling. DiVeR learns from trajectory-level success and failure outcomes while keeping the base VLA policy frozen.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify where action selection matters.<\/strong> We estimate decision criticality from the variance of sampled action representations, without requiring additional environment interaction or step-level supervision.<\/li>\n\n\n\n<li><strong>Focus verifier learning on critical states.<\/strong> We use these criticality estimates to assign greater training weight to states where candidate actions diverge and accurate selection is more consequential.<\/li>\n\n\n\n<li><strong>Select actions efficiently at test time.<\/strong> The trained verifier scores multiple action candidates and selects the highest-scoring action chunk for execution, enabling Best-of-N action selection with negligible verifier overhead.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"quantitative-results\">Quantitative Results<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We evaluate <strong>DiVeR<\/strong> with <strong>\u03c0\u2080<\/strong> and <strong>\u03c0\u2080.\u2085<\/strong> on two simulated manipulation benchmarks, <strong>LIBERO-Long<\/strong> and <strong>RoboCasa<\/strong>, and with <strong>\u03c0\u2080.\u2085<\/strong> on a real-world <strong>Franka Research 3<\/strong> robot. We also evaluate DiVeR with the autoregressive policy <strong>OpenVLA<\/strong> on LIBERO-Long.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Across these settings, DiVeR consistently improves task success through verifier-guided <strong>Best-of-N action selection<\/strong>. Additional analyses examine scaling with the number of action candidates, component ablations, generalization to unseen tasks, and inference latency, demonstrating the effectiveness of decision-criticality weighting with negligible overhead from verifier scoring.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"211\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long-1024x211.png\" alt=\"Success rates on LIBERO-Long comparing action-selection methods across policies and numbers of sampled action candidates.\" class=\"wp-image-1188851\" srcset=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long-1024x211.png 1024w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long-300x62.png 300w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long-767x158.png 767w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long-240x49.png 240w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table1_LIBERO_Long.png 1495w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Average success rates (%) on LIBERO-Long with varying numbers of action candidates <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi><span class=\"___1cs5bdp f1w7gpdv f5p0z4x\" style=\"opacity: 1\">N<\/span><\/mi><\/mrow><annotation encoding=\"application\/x-tex\"><\/annotation><\/semantics><\/math>NN sampled at test time. Bold and underlined values denote the best and second-best results, respectively.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"201\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa-1024x201.png\" alt=\"Category-wise success rates on RoboCasa atomic tasks comparing baseline methods with ours under two policies.\" class=\"wp-image-1188852\" srcset=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa-1024x201.png 1024w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa-300x59.png 300w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa-768x151.png 768w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa-240x47.png 240w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table2_RoboCasa.png 1490w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Category-wise average success rates (%) on RoboCasa atomic tasks. Bold and underlined values denote the best and second-best results, respectively.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"299\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot-1024x299.png\" alt=\"Real-robot evaluation showing the robot setup, four manipulation tasks, and success rates for Base, Uniform, and Ours.\" class=\"wp-image-1188853\" srcset=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot-1024x299.png 1024w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot-300x88.png 300w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot-766x224.png 766w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot-240x70.png 240w, https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/Table3_Real_Robot.png 1512w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Real-robot evaluation with <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><span class=\"___1cs5bdp f1w7gpdv f5p0z4x\" style=\"opacity: 1\">\u03c0<\/span><\/mi><mn><span class=\"___1cs5bdp f1w7gpdv f5p0z4x\" style=\"opacity: 1\">0.5<\/span><\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\"><\/annotation><\/semantics><\/math>. Left: robot setup. Center: the four evaluation tasks. Right: task success rates (%) over 24 evaluation episodes per task.<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"qualitative-results\">Qualitative Results<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We qualitatively compare the base VLA policy with DiVeR on a Franka Research 3 robot. Starting from the same initial state, the base policy may produce imprecise grasping or placement actions that lead to failure, whereas DiVeR selects more appropriate actions and successfully completes the task.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center\" id=\"close-the-drawer\">Close the drawer<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" data-id=\"1188846\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig5.gif\" alt=\"Failed close the drawer task with the baseline method\" class=\"wp-image-1188846\" \/><figcaption class=\"wp-element-caption\"><strong>Base<\/strong>: Failed \u2014 the gripper moves slightly above the drawer front, failing to close the drawer.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" data-id=\"1188847\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig6.gif\" alt=\"Successful close the drawer task with the proposed method\" class=\"wp-image-1188847\" \/><figcaption class=\"wp-element-caption\"><strong>Ours<\/strong>: Success.<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center\" id=\"stack-the-red-block-on-the-blue-block\">Stack the red block on the blue block<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" data-id=\"1188850\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig7-1.gif\" alt=\"Failure pick-and-place task with the baseline method\" class=\"wp-image-1188850\" \/><figcaption class=\"wp-element-caption\"><strong>Base<\/strong>: Failed \u2014 the red block is placed near the edge of the blue block and falls off.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" data-id=\"1188849\" src=\"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/wp-content\/uploads\/2026\/10\/fig8.gif\" alt=\"Successful pick-and-place task with the proposed method\" class=\"wp-image-1188849\" \/><figcaption class=\"wp-element-caption\"><strong>Ours<\/strong>: Success.<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Scaling robot data and model capacity has improved Vision-Language-Action (VLA) policies, but further progress is constrained by the high cost of robotic data. Verifier-guided test-time scaling offers an efficient alternative by sampling multiple action candidates and selecting the one most likely to lead to task success at inference time. Existing classification-based verifiers learn from trajectory-level [&hellip;]<\/p>\n","protected":false},"featured_media":1188842,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"text","value":"Seongheon Park","user_id":0},{"type":"user_nicename","value":"Heecheol Kim","user_id":"43949"},{"type":"text","value":"Shulin Tian","user_id":0},{"type":"text","value":"Lilika Makabe","user_id":0},{"type":"user_nicename","value":"Namiko Saito","user_id":"43853"},{"type":"user_nicename","value":"Katsushi Ikeuchi","user_id":"32500"},{"type":"user_nicename","value":"Sharon Li","user_id":"41728"},{"type":"user_nicename","value":"Yasuyuki 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