NeurIPS 2026 论文列表

Conference on Neural Information Processing Systems

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6,437篇论文

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主题: 强化学习 · 760 篇论文 · 重置筛选

Robust Policy Optimization to Prevent Catastrophic Forgetting

Mahdi Sabbaghi, George J. Pappas, Adel Javanmard, Hamed Hassani

展开摘要

LLMs are commonly trained through multi-stage post-training: first via RLHF, then fine-tuned for other downstream objectives. Yet even small downstream updates can compromise earlier learned behaviors (e.g., safety), exposing a brittleness known as catastrophic forgetting. This suggests standard RLHF objectives do not guarantee robustness to future adaptation. To address it, most prior work designs downstream-time methods to preserve previously learned behaviors. We argue that preventing this requires pre-finetuning robustness: the base policy should avoid brittle high-reward solutions whose reward drops sharply under fine-tuning. We propose Fine-tuning Robust Policy Optimization (FRPO), a robust RLHF framework that optimizes reward not only at the current policy, but across a KL-bounded neighborhood of policies reachable by downstream adaptation. The key idea is to ensure reward stability under policy shifts via a max-min formulation. By modifying GRPO, we develop an algorithm with no extra computation, and empirically show it substantially reduces safety degradation across multiple base models and downstream fine-tuning regimes (SFT and RL) while preserving downstream task performance. We further study a math-focused RL setting, demonstrating that FRPO preserves accuracy under subsequent fine-tuning.

Poster
Robust Offline Reinforcement Learning against Out-of-Distribution Dynamics in Autonomous Driving

Haozhe Liu, Jie Wang, Rui Yang, Chunyang Liu, Xize Liang

展开摘要

Real-world autonomous driving data inherently exhibits out-of-distribution (OOD) dynamics, as diverse interactions and unpredictable human behaviors cause vehicle trajectory distributions to vary significantly across different scenarios, even for similar road structures. Such OOD dynamics typically induce uncontrollable extrapolation errors in neural networks. We observe that in offline reinforcement learning (RL), these errors manifest as heavy-tailed estimates of action values with significant biases, which existing robust methods fail to address, hindering effective generalization. To address this problem, we propose a robusT offline RL algorithm under heavy-tailed action-valUe eSTimates (TRUST), which models perturbed states associated with heavy-tailed action-value estimates to effectively mitigate such estimation biases. Specifically, TRUST uses a first-order gradient-regularized target to model perturbed states that approximate data under worst-case dynamics. It then introduces a statistical measure to identify perturbations that induce heavy-tailed action-value estimates. By re-weighting the training objective to emphasize correcting these biased estimates, TRUST can reduce the heavy-tailed behavior in action values for robustness against OOD driving data. We further derive an error bound that justifies the gradient-regularized target as an approximation to the robust Bellman target. Extensive experiments on three large-scale real-world datasets show that TRUST achieves strong overall performance across all benchmarks, with a general performance improvement of 41.21\%.

Poster
RoboAlign-R1: Distilled Multimodal Reward Alignment for Robot Video World Models

Hao Wu, Yuqi Li, Yuan Gao, Fan Xu, Fan Zhang, Kun Wang, Penghao Zhao, Qiufeng Wang, Yizhou Zhao, Weiyan Wang, Yingli Tian, Xian Wu, Xiaomeng Huang

展开摘要

Existing robot video world models are typically trained with low-level objectives such as reconstruction and perceptual similarity, which are poorly aligned with the capabilities that matter most for robot decision making, including instruction following, manipulation success, and physical plausibility. They also suffer from error accumulation in long-horizon autoregressive prediction. We present RoboAlign-R1, a framework that combines reward-aligned post-training with stabilized long-horizon inference for robot video world models. We construct RobotWorldBench, a benchmark of 10,000 annotated video-instruction pairs collected from four robot data sources, and train a multimodal teacher judge, RoboAlign-Judge, to provide fine-grained six-dimensional evaluation of generated videos. We then distill the teacher into a lightweight student reward model for efficient reinforcement-learning-based post-training. To reduce long-horizon rollout drift, we further introduce Sliding Window Re-encoding (SWR), a training-free inference strategy that periodically refreshes the generation context. Under our in-domain evaluation protocol, RoboAlign-R1 improves the aggregate six-dimension score by 10.1% over the strongest baseline, including gains of 7.5% on Manipulation Accuracy and 4.6% on Instruction Following; these ranking improvements are further supported by an external VLM-based cross-check and a blinded human study. Meanwhile, SWR improves long-horizon prediction quality with only about 1% additional latency, yielding a 2.8% gain in SSIM and a 9.8% reduction in LPIPS. Together, these results show that reward-aligned post-training and stabilized long-horizon decoding improve task consistency, physical realism, and long-horizon prediction quality in robot video world models.

Poster
Risk-Sensitive Deep Optimal Stopping

Yechan Jeong, Youngjoon Hong

展开摘要

Risk-sensitive optimal stopping arises wherever a single bad outcome dominates a sequential decision, such as option exercise, sequential medical treatment, and safety-critical control. The natural objective is the conditional value-at-risk (CVaR) of the stopped reward. We develop the first theoretical framework and algorithm for risk-sensitive deep optimal stopping. Together they resolve all four structural problems of risk-sensitive RL: state augmentation, score-function pathology, blindness to success, and bootstrapping circularity. We isolate three structural properties of optimal stopping: single-point reward, action-independent dynamics, and sum-zero gradient. They yield Markov optimality on the original state space and uniform boundedness of the per-step pathwise gradient at the deterministic-policy boundary, resolving the first two. From these, we derive DIOS (Distribution-Informed Optimal Stopping), a single-time-scale CVaR estimator on the Rockafellar-Uryasev envelope that resolves the remaining two. A soft penalty replaces the hard tail indicator, and a tail-level annealing schedule initializes training in the risk-neutral regime, where no trajectory is gated out. The inner quantile admits a closed-form update without an auxiliary critic. DIOS admits a finite-time best-iterate stationarity guarantee under standard CVaR non-degeneracy, the first explicit rate for CVaR optimal stopping. On Bermudan max-call options, DIOS achieves the highest mean CVaR and the lowest wall time against five representative CVaR baselines.

Poster
Risk-Controlled Post-Processing of Decision Policies

Sunay Joshi, Tao Wang, Hamed Hassani, Edgar Dobriban

展开摘要

Predictive models are often deployed through existing decision policies that stakeholders are reluctant to change unless a risk constraint requires intervention. We study risk-controlled post-processing: given a deterministic baseline policy, choose a new policy that maximizes agreement with the baseline subject to a chance constraint on a user-specified loss. At the population level, we show that the optimal policy has a threshold structure: it follows the baseline except on contexts where switching to the oracle fallback policy yields a large reduction in conditional violation risk. At the finite-sample level, given a fitted fallback policy and score, we develop a post-processing algorithm that uses calibration data to select a threshold. Leveraging tools from algorithmic stability and stochastic processes, we show that under regularity conditions, in the i.i.d. setting, the expected excess risk of the post-processed policy is $O(\log n/n)$. In the special case when an exact-safe fallback policy is available, the algorithm achieves precise expected risk control under exchangeability. In this setting, we also give high-probability near-optimality guarantees on the post-processed policy. Experiments on a COVID-19 radiograph diagnosis task, an LLM routing problem, and a synthetic multiclass decision task show that targeted post-processing can meet or nearly meet risk budgets while preserving substantially more agreement with the baseline than score-blind random mixing.

Poster
Risk-Aware Action Repetition via Expected Skip Evaluation

Hyunwoo Park, Junhyeok Eom, Baek-Ryun Seong, Sang-Ki Ko

展开摘要

Open-loop action repetition—hereafter also referred to as a skip—enables reinforcement learning agents to reduce decision frequency by executing selected actions for adaptive durations. A key challenge is how to evaluate the value of such a skip. Existing Skip-MDP methods typically bootstrap from the greedy value of the terminal state, implicitly assuming that the agent can immediately resume near-optimal control after the skip. This assumption is unreliable during learning, when the underlying action policy is stochastic, inaccurate, and continually changing. It can also amplify optimistic estimation errors, distorting the learned preference over skip lengths. We propose Expected Skip Evaluation, a reformulation of skip-value learning that evaluates skip terminal states through expected future control rather than idealized greedy control. This reflects imperfect control during training while preserving the optimal skip-value fixed-point as control becomes reliable. We instantiate this principle in RARe (Risk-Aware Repetition), a practical framework for discrete and continuous action spaces. Experiments across grid-world, continuous-control, and safety-critical benchmarks show improved sample efficiency and better-calibrated skip decisions.

Poster
Rich Insights from Cheap Signals: Efficient Evaluations via Tensor Factorization

Felipe Maia Polo, Aida Nematzadeh, Virginia Aglietti, Adam Fisch, Isabela Albuquerque

展开摘要

Moving beyond evaluations that collapse performance across heterogeneous prompts toward fine-grained evaluation at the prompt level, or within relatively homogeneous subsets, is necessary to diagnose generative models' strengths and weaknesses. Such fine-grained evaluations, however, suffer from a data bottleneck: human gold-standard labels are too costly at this scale, while automated ratings are often misaligned with human judgment. To resolve this challenge, we propose a novel statistical model based on tensor factorization that merges cheap autorater data with a limited set of human gold-standard labels. Specifically, our approach uses autorater scores to pretrain latent representations of prompts and generative models, and then aligns those pretrained representations to human preferences using a small calibration set. This sample-efficient methodology is robust to autorater quality, more accurately predicts human preferences on a per-prompt basis than standard baselines, and provides tight confidence intervals for key statistical parameters of interest. We also showcase the practical utility of our method by constructing granular leaderboards based on prompt qualities and by estimating model performance solely from autorater scores, entirely eliminating the need for additional human annotations.

Poster
RewardFlow: Topology-Aware Reward Propagation on State Graphs for Agentic RL with LLMs

Xiao Feng, Bo Han, Zhanke Zhou, Jiaqi Fan, Jiangchao Yao, Ka H Li, Dahai Yu, Michael Ng

展开摘要

Reinforcement learning (RL) shows promise for enhancing LLM agentic reasoning capabilities with external environments. However, sparse terminal rewards hinder fine-grained, state-level optimization. Although process reward modeling offers a promising alternative, training dedicated reward models often entails substantial computational costs, risks reward hacking, and faces annotation bottlenecks. To address these challenges, we introduce *RewardFlow*, a lightweight method for estimating state-level rewards for agentic reasoning. *RewardFlow* leverages the intrinsic topological structure of states within trajectories by constructing state graphs. This enables topology-aware graph propagation to estimate state-wise contributions to success, yielding principled, annotation-free state-level rewards. As dense rewards for RL optimization, *RewardFlow* substantially outperforms prior RL baselines across four agentic benchmarks, with average success-rate gains of +6.2\% on text-based benchmarks and +29.7\% on visual reasoning over the strongest baseline across three model scales, and over +10\% accuracy improvement on DeepResearch, while demonstrating superior robustness and training efficiency.

Poster
Reward-Estimated Hypergradient for Bilevel Reinforcement Learning with Black-Box Follower

Shigeki Kusaka, Mikoto Kudo, Takumi Tanabe, Akifumi Wachi, Youhei Akimoto

展开摘要

Optimizing the leader's policy via hypergradients (HG) in bilevel reinforcement learning (RL) typically assumes a white-box follower. To enable real-world applications, we address the black-box follower setting, where the leader must optimize solely from observed trajectories without access to the follower's true reward function. We propose Reward-Estimated Hypergradients (RE-HG), which leverages Inverse RL (IRL) to recover this unobserved reward. Because naive IRL introduces severe reward-shaping biases and numerical instabilities, RE-HG introduces a theoretical bias-cancellation mechanism that aggregates information across diverse environmental dynamics. Together with eigenvalue truncation, this acts as implicit regularization to suppress HG norm explosions. Empirical evaluations demonstrate that RE-HG estimates gradients aligned with a white-box Oracle, achieving comparable or superior performance. Notably, in sharp reward landscapes where the Oracle becomes trapped in suboptimal local minima, RE-HG's implicit regularization extracts stable global gradients, demonstrating robustness.

Poster
Reward-Conditioned Reinforcement Learning

Michal Nauman, Marek Cygan, Pieter Abbeel

展开摘要

Single-task RL agents are typically trained under a fixed reward function, which limits their robustness to reward misspecification and their ability to adapt to changing preferences. We introduce Reward-Conditioned Reinforcement Learning (RCRL), an off-policy method that conditions agents on reward parameterizations while collecting experience under a single nominal objective. By recomputing counterfactual rewards from shared replay data, RCRL exposes the agent to multiple reward objectives without additional environment interaction, connecting single-task RL with ideas from multi-objective and multi-task learning. Across single-task, multi-task, and vision-based benchmarks, RCRL improves sample efficiency under the nominal reward parameterization, enables efficient adaptation to new parameterizations, and supports zero-shot behavioral adjustment at deployment. Our results show that RCRL provides a scalable mechanism for learning robust, steerable policies without sacrificing the simplicity of single-task training.

Poster
Reward Shaping to Improve Language Model Query Generation

Shicheng Liu, Zeyu Zhang, LEI LU, Kexuan Sun, Thuy Vu

展开摘要

Language model query generation is the task of using a language model to translate a natural-language request into a formal query, which is then executed to retrieve information from databases or knowledge graphs. Recent approaches rely on reinforcement learning (RL) to enhance the model’s reasoning and improve query correctness. However, existing methods provide only sequence-level rewards, resulting in sparse feedback that is difficult to optimize. To address this limitation, we propose a reward shaping method that learns a token-level, and thus dense, reward function, providing fine-grained supervision to guide the language model toward correct queries. We formulate this problem as a bilevel optimization problem where the upper level learns a token-level shaping reward from ground truth sequence-level reward and the lower level optimizes the language model using the learned shaping reward. We propose a single-loop algorithm to solve this problem and theoretically guarantee that the algorithm converges at $O(\frac{1}{\sqrt{K}})+O(\frac{\log K}{\sqrt{K}})$. Extensive experiments demonstrate that our method outperforms the baselines.

Poster
Reward Is Not a Universal Interface for Generative Reinforcement Learning

Victor Shea-Jay Huang, Poodar Chu, Hongsheng Li

展开摘要

A reward is not a universal RL interface: it becomes a valid update only through the probability object exposed by the policy branch. Autoregressive post-training works cleanly because token ratios are exact, but parallel discrete policies hide within-step dependence and flow/diffusion policies often lack cheap density ratios. We introduce MindRL, a reward-to-update interface controller that translates a shared reward through branch-native score objects while turning factorization, tractability, drift, and smoothness barriers into budgets over block size, serialization, anchors, clipping, reranking, and branch weights. As a closed-loop controller, MindRL makes the shared reward actionable for AR, parallel discrete, flow/diffusion, and AR+flow policies by selecting branch-native update objects and adapting their control budgets. Across language-side AR/parallel-discrete tests and matched flow/diffusion and AR+flow evaluations, MindRL improves task-quality or reward-risk tradeoffs while preserving each branch's native structure.

Poster
Reward Inflation: A Healthy Stimulus for Reinforcement Learning

Ganghun Lee, Minji Kim, Minsu Lee, Byoung-Tak Zhang

展开摘要

Reward serves as the primary learning signal in reinforcement learning (RL). However, while reward magnitudes are typically held fixed throughout training, their temporal modulation remains underexplored. In this paper, we propose reward inflation, a gradual scaling of rewards over the course of training, and show that it can act as a healthy stimulus for RL. Theoretically, reward inflation induces an implicit recency weighting that upweights recent transitions during policy updates, enabling faster adaptation. We further show that, by sustaining gradient signals as the policy saturates, reward inflation suppresses the emergence of dormant neurons and helps preserve plasticity. Empirical results on ALE games and MuJoCo tasks corroborate these findings, showing that an appropriate level of reward inflation benefits a broad range of tasks. Finally, we introduce Fed, an adaptive variant that adjusts the inflation level on the fly, and find that it often improves upon fixed inflation.

Poster
Reward Hacking in Rubric-Based Reinforcement Learning

Anas Mahmoud, MohammadHossein Rezaei, Zihao Wang, Anisha Gunjal, Bing Liu, Yunzhong He

展开摘要

Reinforcement learning with verifiable rewards has enabled strong post-training gains in domains such as math and coding, though many open-ended settings rely on rubric-based rewards. We study reward hacking in rubric-based RL, where a policy is optimized against a training verifier but evaluated against a cross-family panel of three frontier judges, reducing dependence on any single evaluator. Our framework separates two sources of divergence: verifier failure, where the training verifier credits rubric criteria that reference verifiers reject, and rubric-design limitations, where even strong rubric-based verifiers favor responses that rubric-free judges rate worse overall. Across medical and science domains, weak verifiers produce large proxy-reward gains that do not transfer to the reference verifiers; exploitation grows over training and concentrates in recurring failures such as partial satisfaction of compound criteria, treating implicit content as explicit, and imprecise topical matching. Stronger verifiers substantially reduce, but do not eliminate, verifier exploitation. We also introduce a self-internalization gap, a verifier-free diagnostic based on policy log-probabilities, which tracks reference-verifier quality, detecting when the policy trained using the weak verifier stops improving. Finally, in our setting, stronger verification does not prevent reward hacking when the rubric leaves important failure modes unspecified: rubric-based verifiers prefer the RL checkpoint, while rubric-free judges prefer the base model. These disagreements coincide with gains concentrated in completeness and presence-based criteria, alongside declines in factual correctness, conciseness, relevance, and overall quality. Together, these results suggest that stronger verification reduces reward hacking, but does not by itself ensure that rubric gains correspond to broader quality gains.

Poster
Revisiting Value Iteration: Unified Analysis of Discounted and Average-Reward Cases

Arsenii Mustafin, Xinyi Sheng, Dominik Baumann

展开摘要

While Value Iteration (VI) is one of the most fundamental algorithms in Reinforcement Learning, its theoretical convergence guarantees still exhibit a persistent mismatch with empirical behavior. In the discounted-reward case, classical theory guarantees geometric convergence with rate $\gamma$, while in the average-reward case recent work suggests that only sublinear convergence can be expected. In practice, however, VI is often observed to converge significantly faster. In this work, we show through a unified geometry-based analysis that, under an assumption of a unique and unichain optimal policy, (i) convergence is geometric in *both* the discounted- and average-reward settings and (ii) the convergence rate is faster than previous analyses suggest.

Poster
Reverse to Advance: Teleoperation-Cost Effective Hard Policy Learning from Reversed Easy Tasks

Qiyuan Qiao, Ge Yuan, Can Wang, Dong Xu

展开摘要

High-quality teleoperation datasets are costly to collect, particularly for hard tasks. We observe that many tasks exhibit directional asymmetry: completing the forward hard task is difficult, whereas reversing it by relaxing or disrupting the environment is comparatively easy. This suggests that reversed easy-task trajectories can serve as a scalable supervision signal for the hard task, reducing the cost of manual demonstration collection. However, reversed data can be noisy, and directly training on it may yield suboptimal policies. To enable largely automated acquisition and effective use of reversed data, we propose a teleoperation-cost effective framework for hard policy learning via temporal reversal of easy tasks, consisting of three key components: a closed-loop data collection pipeline that alternates between hard-task and easy-task policies to autonomously reset the environment and generate diverse trajectories; a hierarchical data refinement pipeline that temporally inverts easy-task rollouts and filters low-quality motion using kinematic priors and a critic-guided advantage filter; and an iterative policy learning method that trains the hard-task policy using both initial reversed easy-task demonstrations and the filtered reversed data in a continuous online learning loop. By combining automated collection, hierarchical refinement, and iterative learning, our method enables scalable, reliable training of complex, high-precision manipulation tasks. Across two simulated benchmarks and real-robot experiments, we demonstrate that our method improves hard-task success rates with higher data efficiency and more stable training compared to reversal-based and reinforcement-learning baselines, without requiring extensive hard-task teleoperation.

Poster
RevengeBench: Reverse Engineering Code-Space Policies from Behavioral Experiments

Babak Rahmani, Sebastian Dziadzio, Joschka Struber, Sergio Hernández-Gutiérrez, Matthias Bethge

展开摘要

For most of scientific history, researchers studying behavior could only infer hidden mechanisms from outward actions—an inverse problem that becomes more tractable when observation is augmented by targeted intervention. We pose a computational analogue: given only behavioral traces of an agent in a game environment, can a learner reconstruct the underlying decision program as executable code, and how much does this reconstruction improve with the ability to design controlled experiments? We introduce RevengeBench, a benchmark of 75 LLM generated, Elo-calibrated policies across five game environments, drawn from CodeClash tournament trajectories. The learner observes the hidden target policy play against sampled opponents and designs behavioral probes in the form of custom opponent policies that elicit informative behavior. It then submits an executable hypothesis, which is evaluated using continuous action-distance metrics. We further validate that recovered code carries informative signal in downstream player-versus-player tournaments. Across twelve frontier LLMs, recovery quality varies substantially (34–72\% of initial distance closed), with reconstructed policies yielding measurable competitive advantage, particularly for weaker models that otherwise struggle to design effective counter-strategies. Our benchmark positions behavioral recovery of programmatic policies as a tractable inverse problem in code-space, opening a path to opponent modeling, policy interpretability, and the broader question of inferring latent mechanisms from observations.

Poster
Rethinking Ratio-Based Trust Regions for Policy Optimization in Multi-Agent Reinforcement Learning

Chulabhaya Wijesundara, Andrea Baisero, Zhongheng Li, Gregory D Castanon, Alan S Carlin, Christopher Amato

展开摘要

Centralized training with decentralized execution (CTDE) is a standard framework for cooperative multi-agent policy-gradient reinforcement learning, allowing agents to learn from joint information while acting from local observations. Ratio-based trust-region methods such as Multi-Agent Proximal Policy Optimization (MAPPO) and Multi-Agent Simple Policy Optimization (MASPO) update decentralized actors using per-agent probability ratios weighted by joint advantage estimates. Teammate non-stationarity increases the variance of these advantages, which in turn increases the variance in the local ratio updates. This exposes two method-specific failure modes: MAPPO's additive clipping removes gradients for outlier samples and weakens recovery from policy drift, while MASPO's soft quadratic penalty can allow probability collapse. We introduce Multi-Agent Ratio Symmetry (MARS), a novel policy optimization objective that replaces these additive ratio-based trust-region mechanisms with a multiplicatively symmetric geometric barrier. MARS preserves corrective gradients while assigning unbounded cost as probability ratios approach zero. Across 47 tasks spanning eight multi-agent environments, including novel JAX benchmarks PaxMen and AeroJAX, MARS matches or exceeds MAPPO and MASPO in aggregate environment-level performance. Ablations show that these gains arise from the geometry of the symmetric barrier rather than from flexible trust-region boundaries alone.

Poster
Rethinking Post-Training Recipes for Multimodal Time-Series Forecasting

Haoxin Liu, Yichen Zhou, Rajat Sen, B. Aditya Prakash, Abhimanyu Das

展开摘要

Time-Series Foundation Models (TSFMs) excel at zero-shot unimodal forecasting using numerical data, but unlike LLMs they cannot consume multimodal, non-numerical context that often shape real-world trajectories. In this work, we bridge this gap and argue for a multimodal time-series forecasting approach that post-trains LLMs to act as context-guided revisors over strong numerical TSFM priors. We introduce PostTime, a post-training recipe combining Supervised Fine-Tuning (SFT) and Reinforcement Learning with Verifiable Rewards (RLVR), along with a methodology to generate automated reasoning traces for forecast revisions. PostTime teaches an LLM to generate context-conditioned forecast interventions—decisions to revise, preserve, or ignore the TSFM prior based on the multimodal context. We evaluate this approach on the TimesX multimodal forecasting benchmark using a Gemma-3-4B LLM and TimesFM-2.5 TSFM, and show that it significantly outperforms standalone TSFMs, LLM-only baselines, and existing multimodal forecasting approaches. Our post-training recipe including code and dataset, can currently be accessed for review purposes at \url{https://anonymous.4open.science/status/posttime-21BF/}.

Poster
Rethinking Learning from Label Proportions via Moment Matching

Tianhao Ma, Wei Wang, Yivan Zhang, Dong-Dong Wu, Takashi Ishida, Gang Niu, Masashi Sugiyama

展开摘要

Learning from label proportions (LLP) is a weakly supervised setting where training data are grouped into bags with only bag-level label proportions observed, and the goal is to learn a classifier that predicts labels for individual instances. Recently, a large body of methods has emerged; however, most of them rely on the assumption that instances and labels are sampled i.i.d. and randomly assembled into bags, an assumption often violated in real-world scenarios. Our experimental results indicate that these methods perform suboptimally under non-random settings. In this work, we adopt a more realistic assumption: bags are sampled i.i.d., and instance labels are conditionally independent given the instances. Under this setting, we show that the label counts follow a Poisson multinomial distribution. Motivated by this observation, we propose LLP via moment matching(LLP-MM), a simple yet effective approach which leverages multi-order factorial moments as training objectives, encouraging the classifier predictions to match these moments and thereby more fully exploit the underlying statistical structure of the data. Extensive experiments on benchmark datasets under various bag construction strategies demonstrate the effectiveness of our approach while maintaining high computational efficiency.

Poster