NeurIPS 2026 Papers

Conference on Neural Information Processing Systems

Decision breakdown

6,437papers

Counted from the official paper list; may differ slightly from the number the conference announced.

  • Oral
    991.5%
  • Spotlight
    2403.7%
  • Poster
    6,09894.7%

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Sliced Inner Product Gromov–Wasserstein Distances

Xiaoyun Gong, Gabriel Rioux, Ziv Goldfeld

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The Gromov--Wasserstein (GW) problem provides a framework for aligning heterogeneous datasets by matching their intrinsic geometry, but its statistical and computational scaling remains an issue for high-dimensional problems. Slicing techniques offer an appealing route to scalability, but, unlike Wasserstein distances, GW problems do not generally admit closed-form solutions in one-dimension. We resolve this problem for the GW problem with inner product cost (IGW), propose a sliced IGW distance that enjoys a natural rotational invariance property, and comprehensively study its structural and computational properties. Numerical experiments validating our theory are presented, followed by applications to heterogeneous clustering of text data and language model representation comparison.

Poster
SliceWorld: A Predictive and Controllable World-State Model for CT Report Generation

Yuanhe Tian, Yan Song

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CT report generation (CTRG) requires models to summarize three-dimensional anatomical context and pathological findings from hundreds of axial slices. Existing methods typically learn a direct image-to-text mapping, providing limited mechanisms for modeling how CT evidence evolves across slices or how reports respond to controlled changes in latent lesion-related factors. We propose SliceWorld, a CT-specific world-state framework that treats an axial CT scan as an ordered sequence along the z-axis. SliceWorld encodes prefix CT evidence into factor-aware latent states containing anatomy, lesion, and uncertainty components, and projects these states into world tokens used for multi-step future-slice feature prediction, lesion-factor intervention, and LLM-based report generation. The model is first pretrained on CT slice sequences with predictive, factor-aware, and counterfactual objectives, and is then fine-tuned on paired CT-report data. Experiments on M3D-Cap and CT-RATE show that SliceWorld improves natural language generation metrics and clinically oriented automatic evaluation. Further analyses demonstrate multi-horizon future-slice prediction, measurable factor alignment, reduced-slice robustness, and selective lesion-sensitive report modulation.

Poster
Skipping Domain Shifts: Domain Memory Retention Enhanced Hyperspectral Single-Source Domain Generalization

Taiqin Chen, Hao Sha, Xiaochen Feng, Chunyu Chen, Xiangyu Chen, Ke Chen, Yongbing Zhang

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Hyperspectral single-source domain generalization aims to train a robust model capable of overcoming domain shifts using only one available source domain for cross-scene hyperspectral image (HSI) analysis. Existing methods typically adopt data augmentation to broaden decision boundaries or utilize style transfer techniques for test-time alignment. However, these studies either fail to completely bridge the domain gap or inadvertently disrupt the discriminative spectral information, leading to suboptimal generalization and degraded classification performance on the target domain. To overcome these limitations, we propose a novel method, termed the domain memory retention framework, which optimizes domain memory during training to explicitly encode the semantic structure of the source domain. During inference, the target features are projected to the source distribution by leveraging this memory, thereby skipping domain shifts and improving generalization performance across unseen scenes. Specifically, the memory is formulated as a codebook, consisting of multiple semantic codewords. We further develop a semantic richness constraint and a perturbation robustness constraint to enhance representation diversity while empowering domain invariance for the memory. Extensive experiments conducted on three remote sensing datasets demonstrate that the proposed method outperforms state-of-the-art methods.

Poster
SkipSR: Faster Super-Resolution with Token Skipping

Rohan Choudhury, Shanchuan Lin, Jianyi Wang, Hao Chen, Qi Zhao, Feng Cheng, Lu Jiang, Kris Kitani, László Jeni

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Diffusion-based super-resolution (SR) is a key component in video generation and video restoration, but is slow and expensive, limiting scalability to higher resolutions and longer videos. Our key insight is that many regions in video are inherently low-detail and gain little from refinement, yet current methods process all pixels uniformly. To take advantage of this, we propose SkipSR, a simple framework for accelerating video SR by identifying low-detail regions directly from low-resolution input, then skipping computation on them entirely, only super-resolving the areas that require refinement. This simple yet effective strategy preserves perceptual quality in both standard and one-step diffusion SR models while significantly reducing computation. In standard SR benchmarks, our method achieves up to 60$\%$ faster end-to-end latency than prior models on 720p videos with no perceptible loss in quality.

Poster
Skip the Hessian, Keep the Rates: Globalized Semismooth Newton with Lazy Hessian Updates

Amal Alphonse, Pavel Dvurechenskii, Clemens Sirotenko

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Second-order methods are provably faster than first-order methods, and their efficient implementations for large-scale optimization problems have attracted significant attention. Yet, optimization problems in ML often have nonsmooth derivatives, which makes the existing convergence rate theory of second-order methods inapplicable. In this paper, we propose a new semismooth Newton method (SSN) that enjoys both global convergence rates and asymptotic superlinear convergence without requiring second-order differentiability. Crucially, our method does not require (generalized) Hessians to be evaluated at each iteration but only periodically, and it reuses stale Hessians otherwise (i.e., it performs lazy Hessian updates), saving compute cost and often leading to significant speedups in time, whilst still maintaining strong global and local convergence rate guarantees. We develop our theory in an infinite-dimensional setting and illustrate it with numerical experiments on matrix factorization and neural networks with Lipschitz constraints.

Poster
SkillsBench: Benchmarking How Well Agent Skills Work Across Diverse Tasks

Xiangyi Li, Yimin Liu, Wenbo Chen, Shenghan Zheng, Yifeng He, Xiaokun Chen, Bingran You, Haotian Shen, Yubo Li, Kyoung Whan Choe, Binxu Li, Shuyi Wang, Chris Kong, Xinyi Liu, Jiankai Sun, Runhui Wang, Xuanqing Liu, Jiachen Li, Xin Lan, Yuanli Wang, Xuandong Zhao, Yueqian Lin, Wengao Ye, Junwei He, Di Wang, Roey B Chaim, Songlin Li, Hanwen Xing, Yue Zhang, Yipeng Gao, Yijiang Li, Ze Ma, Liqiang Jing, Qunhong Zeng, Tianyu Wang, Kaixin Li, Yiqi Xue, Zonglin Di, Yizhuo He, Yuchen Tian, Yixuan Gao, Hejia Geng, Bo Chen, Litong Liu, Sikai Cheng, Zelin Tan, Jiajun Bao, Junwei Zhou, Shuaicheng Tong, Shuwen Xu, Penghao Jiang, Terry Yue Zhuo, Tinghan Ye, Chujun Tao, Qi Qi, Miao Li, Longtai Liao, Zhikang Dong, Chang Shi, Steven Dillmann, Han-chung Lee

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Agent Skills are structured packages of procedural knowledge that augment LLM agents at inference time. Despite rapid adoption, there is no standard way to measure whether they actually help. We present SkillsBench, a paired benchmark of 84 tasks across 8 expertise-heavy domains; every task runs under three matched conditions (no Skills, curated Skills, self-generated Skills) on 7 agent--model configurations and 7,326 trajectories with deterministic verifiers. Curated Skills raise pass rate by 16.4\,pp on average, but the lift is heterogeneous: per-domain $\Delta$ spans +7.2 to +24.8pp and 18 of 84 tasks regress. Self-generated Skills net -1.3pp, indicating that current models cannot author the procedural knowledge they benefit from consuming. SkillsBench establishes paired evaluation as standard practice for measuring agent augmentations.

Poster
SkillOrchestra: Learning to Route Agents via Skill Transfer

Jiayu Wang, Yifei Ming, Zixuan Ke, Shafiq Joty, Aws Albarghouthi, Frederic Sala

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Compound AI systems promise capabilities beyond those of individual models, yet their success depends critically on effective orchestration. Existing routing approaches face two limitations: (1) input-level routers make coarse query-level decisions that ignore evolving task requirements; (2) RL-trained orchestrators are expensive to adapt and often suffer from routing collapse, repeatedly invoking one option in multi-turn scenarios. We introduce SkillOrchestra, a framework for skill-aware orchestration. Instead of directly learning a routing policy end-to-end, SkillOrchestra learns fine-grained skills from execution experience and models agent-specific competence and cost under those skills. At deployment, the orchestrator infers the skill demands of the current interaction and selects agents that best satisfy them under an explicit performance-cost trade-off. Extensive experiments across ten benchmarks demonstrate that SkillOrchestra outperforms SoTA RL-based orchestrators by up to 27.5% with 700x and 300x learning cost reduction compared to Router-R1 and ToolOrchestra, respectively. These results show that explicit skill modeling enables scalable, interpretable, and sample-efficient orchestration, offering a principled alternative to data-intensive RL-based approaches.

Poster
SkillMaster: Toward Autonomous Skill Mastery in LLM Agents

Min Yang, Jinghua Piao, Xu Xia, Yongshun Gong, Yong Li

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Skills provide an effective mechanism for improving LLM agents on complex tasks, yet in existing agent frameworks, their creation, refinement, and selection are typically governed by external teachers, hand-designed rules, or auxiliary modules. As a result, skills remain external resources to be invoked, rather than capabilities that agents can develop, adapt, and internalize through experience. To endow LLM agents with autonomous skill mastery, we propose SkillMaster, a training framework that teaches agents to create new skills, refine existing skills, and select accumulated skills during task solving. This capability is achieved through three key designs. First, we train agents through trajectory-informed skill review, teaching agents to propose, update, or retain skills based on evidence from completed episodes. Second, each candidate skill edit is designed to be evaluated by its counterfactual utility on related probe tasks, providing a direct learning signal for training skill-editing decisions. Third, we introduce DualAdv-GRPO, which separately estimates advantages for task-solving actions and skill-editing decisions, stabilizing joint training across task solving and skill management. Experiments on ALFWorld and WebShop show that SkillMaster improves the overall success rate over state-of-the-art baselines by 8.8% and 9.3%, respectively, achieving the best performance among all compared methods. Further analysis reveals a marked shift in agent capability: agents trained with SkillMaster can identify skill failures, refine procedural knowledge from trajectory evidence, and transfer improvements to future tasks with limited skill-bank edits. Overall, SkillMaster moves LLM agents beyond mere skill use toward self-improving agents capable of developing, adapting, and applying their own skill repertoires. Our code is released at https://anonymous.4open.science/r/skillmaster-F4B0.

Poster
SkillForge: Co-Evolving Skills and Agents via Dynamic Skill Lifecycles

Yuyao Ge, Yiwei Wang, Yuchen He, Baolong Bi, Lingrui Mei, Jiayu Yao, Lizhe Chen, Shenghua Liu

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Memory-augmented reinforcement learning strengthens LLM agents' ability to solve complex long-horizon tasks. Skills are one such form of memory, pairing instructions with an applicability condition over task types. However, retaining every skill indiscriminately as the policy improves lets obsolete or harmful entries accumulate and mislead the agent. We propose SkillForge, an agentic RL method that compiles and evolves the skill library through a fitness-driven skill lifecycle of trial, active, stable, and retired states, so that the skills and the model co-evolve throughout training. A preliminary evaluation phase first uses the base model's own rollouts to pre-retire low-fitness skills, yielding a filtered library that then seeds supervised fine-tuning. Reinforcement learning takes over from this checkpoint, and at each iteration selective retirement, stabilization, and LLM-guided mutation continue to forge the skill library alongside policy optimization. Across multiple interactive agent benchmarks, SkillForge achieves the highest aggregate success rate, delivering up to 7.8\% relative improvement over the strongest baseline while keeping the skill library compact throughout training. We introduce Skillfurnace, a dataset of 5k+ annotated records bundling retirement-filtered SFT trajectories, evolved skill libraries with fitness annotations, and retirement events with human-annotated failure categories to support research on skill quality and lifecycle management.

Poster
SkillCIR: Intent-Guided Skill Composition for Training-Free Composed Image Retrieval

Yuanmin Tang, Lin Li, Yang Du, Yuan Gao, Massimiliano Mancini, Jun Song, Gaopeng Gou, Gang Xiong, Meikang Qiu, Cheng Yu, Bo Zheng

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Composed Image Retrieval (CIR) retrieves a target image given a reference image and a textual edit. Existing training-free methods prompt a frozen multimodal large language model (MLLM) to infer the user's edit intent and rewrite the composed query into a single retrieval artifact, such as a target caption, an edited image, or a modality-fused embedding. These methods can reason about the edit, but they have limited means to execute that reasoning during retrieval. A key remaining bottleneck for training-free CIR appears to be not only intent understanding, but intent execution. To address this challenge, we propose SkillCIR, a training-free framework that tackles the intent execution gap by routing the inferred constraints to specialized retrieval skills. Specifically, the same frozen MLLM that infers the intent also emits a structured plan of active constraints; each constraint activates a typed skill that scores gallery candidates along one evidence channel, and the per-skill scores are composed in score space with explicit signs and re-checked by a local verification step. Across three benchmarks and three CLIP backbones, SkillCIR improves the primary recall/mAP metrics by 2.8 to 7.9 points at the latency of typical training-free CIR pipelines and around 23x faster than the latest training-free state of the art. These gains hold with a fixed skill pool and no model-parameter updates, suggesting that improving the means to execute the inferred edit is a useful complement to stronger reasoning about it.

Poster
Skill-SD: Skill-Conditioned Self-Distillation for Multi-turn LLM Agents

Hao Wang, Guozhi Wang, Han Xiao, YufengZhou, Yue Pan, Jichao Wang, Ke Xu, Yafei Wen, XIAOHU RUAN, Xiaoxin Chen, Honggang Qi

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Reinforcement learning (RL) has been widely used to train LLM agents for multi-turn interactive tasks, but its sample efficiency is severely limited by sparse rewards and long horizons. On-policy self-distillation (OPSD) alleviates this by providing dense token-level supervision from a privileged teacher that has access to ground-truth answers. However, such fixed privileged information cannot capture the diverse valid strategies in agent tasks, and naively combining OPSD with RL often leads to training collapse. To address these limitations, we introduce Skill-SD, a framework that turns the agent's own trajectories into dynamic training-only supervision. Completed trajectories are summarized into compact natural language skills that describe successful behaviors, mistakes, and workflows. These skills serve as dynamic privileged information conditioning only the teacher, while the student always acts under the plain task prompt and learns to internalize the guidance through distillation. To stabilize the training, we derive an importance-weighted reverse-KL loss to provide gradient-correct token-level distillation, and dynamically synchronize the teacher with the improving student. Experimental results on agentic benchmarks demonstrate that Skill-SD substantially outperforms the standard RL baseline, improving both vanilla GRPO (+14.0%/+10.9% on AppWorld/Sokoban) and vanilla OPD (+42.1%/+40.6%).

Poster
Skill-Inject: Measuring Agent Vulnerability to Skill File Attacks

David Schmotz, Luca Beurer-Kellner, Sahar Abdelnabi, Maksym Andriushchenko

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LLM agents are evolving rapidly, powered by code execution, tools, and the recently introduced agent skills feature. Skills allow users to extend LLM applications with specialized thirdparty code, knowledge, and instructions. Although this can extend agent capabilities to new domains, it creates an increasingly complex agent supply chain, offering new surfaces for prompt injection attacks. We identify skill-based prompt injection as a significant threat and introduce Skill-Inject, a benchmark evaluating the susceptibility of widely-used LLM agents to injections through skill files. Skill-Inject contains 202 injection-task pairs with attacks ranging from obviously malicious injections to subtle, context-dependent attacks hidden in otherwise legitimate instructions. We evaluate frontier LLMs on Skill-Inject, measuring both security in terms of harmful instruction avoidance and utility in terms of legitimate instruction compliance. Our results show that today’s agents are highly vulnerable with up to 80% attack success rate with frontier models, often executing extremely harmful instructions including data exfiltration, destructive action, and ransomwarelike behavior. They furthermore suggest that this problem will not be solved through model scaling or simple input filtering, but that robust agent security will require context-aware authorization frameworks.

Poster
Skill-Coupled Policy Optimization with Calibrated Group-Wise Advantage Estimation

Peng Wang, Zhendong Chu, Chengshuai Shi, Matthias Poloczek, Cong Shen, Jing Yang

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Reinforcement learning with verifiable rewards (RLVR) has become a standard paradigm for post-training large language models on reasoning tasks. To avoid the complexity of training explicit critics, algorithms like GRPO estimate advantages directly from sparse on-policy rollouts. However, the efficacy of this approach relies heavily on the accuracy of the baseline estimator. In this work, we argue that standard methods, whether relying on prompt-local averages or shrinking toward a single global mean, are statistically mis-specified for reasoning domains. By enforcing a uniform prior, these methods ignore the latent skill structure of tasks, introducing estimation bias that conflates dissimilar problems. To address this, we propose Skill-Coupled Policy Optimization (SCPO), a structured baseline estimation framework that refines the shrinkage prior by leveraging task correlations. Instead of a generic global target, SCPO performs shrinkage toward skill-coupled group targets, thereby aligning the baseline with the local difficulty landscape. To further stabilize these targets under limited on-policy observations, SCPO incorporates a lightweight history tracker. Experiments across diverse models and tasks show that SCPO consistently improves training stability and performance over both prompt-level and global shrinkage baselines.

Poster
Sinkhorn Based Associative Memory Retrieval Using Spherical Hellinger Kantorovich Dynamics

Aratrika Mustafi, Soumya Mukherjee

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We propose a dense associative memory for empirical measures (weighted point clouds). Stored patterns and queries are finitely supported probability measures, and retrieval is defined by minimizing a Hopfield-style log-sum-exp energy built from the debiased Sinkhorn divergence. We derive retrieval dynamics as a spherical Hellinger Kantorovich (SHK) gradient flow, which updates both support locations and weights. Discretizing the flow yields a deterministic algorithm that uses Sinkhorn potentials to compute barycentric transport steps and a multiplicative simplex reweighting. Under local separation and PL-type conditions we prove basin invariance, geometric convergence to a local minimizer, and a bound showing the minimizer remains close to the corresponding stored pattern. Under a random pattern model, we further show that these Sinkhorn basins are disjoint with high probability, implying exponential capacity in the ambient dimension. Experiments on synthetic Gaussian point-cloud memories demonstrate robust recovery from perturbed queries versus a Euclidean Hopfield-type baseline.

Poster
Sink vs. diagonal patterns as mechanisms for attention switch and oversmoothing prevention

Peter Súkeník, Cristina Lopez Amado, Christoph Lampert, Marco Mondelli

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This paper studies the role of sinks and diagonal patterns as attention switch and anti-oversmoothing mechanisms. We analyze geometric conditions under which sinks can be represented, showing a necessary alignment between the embedding of the sink and all other embeddings. Next, we refine the current understanding of the role of sinks in oversmoothing prevention: we specify the conditions under which dense attention provably smooths more than sparse attention, and empirically verify that such conditions are often satisfied in practice. We further prove an equivalence between sinks and hard attention switch, in which the output of the attention is identically 0. Finally, we relax the hard attention switch by allowing token self-communication: we provide a quantitative comparison of the costs of representing sinks vs.\ diagonal patterns, showing why sinks are favored in pretrained transformers. The introduction and analysis of diagonal patterns and the generalization of the attention switch close the gap between what oversmoothing prevention requires and what sinks provide, while also establishing when and why attention layers act like MLPs if token communication is not necessary.

Poster
Single-Pass Evidence Measurement for Interpretable and Uncertainty-Aware Multimodal Face Anti-Spoofing

Yingjie Ma, Haonan Wang, Xun Lin, Ruixin Zhang, Jingyun Zhang, Jun Wang, Rizen Guo, Shouhong Ding, Weicheng Xie, Linlin Shen, Zitong Yu

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Face anti-spoofing (FAS) is critical for protecting face recognition systems against presentation attacks in open environments. Beyond high cross-domain generalization, practical FAS deployments must provide interpretable and uncertainty-aware decisions when multimodal evidence is incomplete, degraded, or conflicting. However, current multimodal domain-generalized FAS methods focus primarily on feature fusion or domain alignment, compressing RGB, depth, and infrared cues into opaque logits. This makes it difficult to discern which modality drives the decision, whether modalities reinforce or suppress each other, and whether a given sample lies within the classifier's reliable operating regime. We introduce SEM-FAS, a quantum-inspired yet fully classical single-pass evidence measurement framework that jointly enhances generalization, interpretability, and reliability. SEM-FAS encodes each modality as a normalized complex-valued state whose amplitude captures evidence strength and whose phase encodes cross-modal interference; multiple coherent heads are then mixed into a density-matrix representation. A constrained POVM-like measurement head converts this representation into calibrated class probabilities while analytically decomposing every prediction into per-modality main effects and pairwise synergy/suppression terms. Simultaneously, three built-in uncertainty indicators are obtained without sampling overhead: predictive ambiguity, representation mixedness, and measurement-coverage mismatch. On standard multimodal DG-FAS benchmarks, SEM-FAS reduces the best baseline HTER by 2.18\% and improves AUC by 1.38\% under both complete and missing-modality protocols. Visual analyses further suggest that the learned modality effects, pairwise interactions, and uncertainty scores align with expected FAS behavior, even for hard samples, indicating that single-pass evidence measurement is a promising way to jointly enhance generalization, interpretability, and reliability in multimodal FAS.

Poster
Single Shot HDR Recovery via a Video Diffusion Prior

Chinmay Talegaonkar, Jinshi He, Nicholas Antipa

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Recent generative methods for single-shot high dynamic range (HDR) image reconstruction show promising results, but often struggle with preserving fidelity to the input image: they hallucinate content, require separate models to handle highlights and shadows, or sacrifice interpretability by directly predicting the final HDR image. We address these limitations by re-casting single-shot HDR reconstruction as conditional video generation and fusing the generated frames into an HDR image. We fine-tune a video diffusion model to generate an exposure bracket, conditioned on a low dynamic range (LDR) input. We fuse this image bracket using per-pixel weights predicted by a light-weight UNet. This formulation is simple, interpretable, and effective. Rather than directly hallucinating an HDR image, it explicitly reconstructs the intermediate exposure stack and fuses it into the final output. Our method eliminates the need for separate models across exposure regimes and produces HDR reconstructions with high input fidelity. On quantitative benchmarks, we outperform state-of-the-art generative baselines with comparable model capacity on several reconstruction metrics. Human evaluators further prefer our results in 72% of pairwise comparisons against existing methods. Finally, we show that this input-conditioned sequence generation and fusion framework extends beyond HDR to other image reconstruction tasks, such as all-in-focus image recovery from a single defocus-blurred input.

Poster
Simultaneous Individual, Group and Multigroup Fairness in Set Covering Problems

Sharmila Duppala, Nathaniel Grammel, Tyler He, Aravind Srinivasan

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Covering problems are fundamental combinatorial optimization problems with broad connections to clustering, facility location, and various applications such as machine learning and controlling disease outbreaks. In this work we study a variant of the set cover problem that generalizes the partition set cover problem~\citep{bera2014approximation}. In partition set cover, given an instance $(P, S)$ with a universe $P = \cup_{c \in [\ell]} P_c$ (where $[\ell]$ denotes $\{1, 2, \ldots, \ell\}$), a collection of subsets \(S\) (each with associated costs), and coverage requirements $k_1,k_2,\dots,k_\ell$, the objective is to find a subcollection with minimum cost that covers at least $k_c$ elements from each group $c \in [\ell]$. We generalize this problem by allowing for the groups $P = \cup_{c \in [\ell]} P_c$ to be overlapping thus capturing both \emph{group fairness} and \emph{multigroup fairness}. We further allow for probabilistic coverage requirements for each element in the ground set thus capturing the notion of \emph{individual fairness}. Our main result is a randomized iterated-rounding-based algorithm with provable guarantees. Our main result is a randomized iterated rounding based algorithm with provable guarantees. We supplement our theoretical results by showing that algorithm has significantly running times and outperforms the best known algorithm of \citep{inamdar18PartitionSetCover}.

Poster
Simultaneous Gradient Learning in First-Price Auctions

Janik Bürgermeister, Julius Durmann, Martin Bichler, Mete Ş Ahunbay, Bary Pradelski, Marco Scarsini

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We study equilibrium learning in discretized Bayesian games, focusing on first-price auctions as a testbed for gradient-based learning dynamics under private information. While the symmetric independent private values model admits a unique Bayesian correlated equilibrium (BCE) in the continuous limit, standard convergence guarantees for gradient-based learners do not apply: classical no-regret theory predicts convergence only to Bayesian coarse correlated equilibria (BCCE), which can remain large and far from the competitive equilibrium even under fine discretizations. To bridge this gap, we introduce the notion of Bayesian semicoarse correlated equilibrium (BSCCE), an equilibrium concept that refines BCCE by restricting deviations to probability-preserving transformations consistent with projected gradient dynamics. We provide a linear programming characterization of BSCCE with polynomially many variables and constraints and establish the inclusion hierarchy $BCE \subseteq BSCCE \subseteq BCCE$. Our main finding is that the BSCCE set contracts in many cases as the discretization of the Bayesian game is refined. Even with priors for which BCCE fails to concentrate, the diameter of the BSCCE polytope shrinks toward zero, indicating convergence to the unique continuous-game Bayes-Nash equilibrium. These results provide a principled explanation for the observed robustness of gradient-based learning in discretized Bayesian games, showing that these dynamics select a smaller equilibrium set than standard no-regret theory predicts.

Poster
Simulation-free Unbalanced Dynamic Optimal Transport with General Growth Penalty

Junda Ying, Yuxuan Wang, Bowen Yang, Peijie Zhou, Lei Zhang

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Inferring cellular dynamics from unpaired single-cell snapshots requires modeling both state transitions and population growth or death. Unbalanced dynamic optimal transport (UDOT) addresses this by penalizing growth along transport paths, making the choice of growth penalty a key way to encode biological priors on proliferation and apoptosis. However, existing UDOT solvers either rely on computationally expensive NeuralODE simulations or depend on analytical solutions of conditional paths, restricting their efficiency solely to quadratic penalties, i.e. Wasserstein-Fisher-Rao (WFR) geodesics. To enable an efficient UDOT solver for general growth penalties, we first show that concave growth penalties lead to degenerate solutions where growth and transport are separated. We then introduce **S**imulation-free **U**nbalanced **D**ynamic **O**ptimal transport (SUDO), a simulation-free framework for UDOT with general non-quadratic convex growth penalties. SUDO learns the conditional paths and transport costs, solves the induced semi-coupling problem, and subsequently leverages unbalanced flow matching to achieve a simulation-free solution. On WFR benchmarks, SUDO matches the accuracy of efficient, analytical solution-driven algorithms while outperforming simulation-based methods in computational speed. Beyond WFR, SUDO supports asymmetric penalties that encode proliferation-dominant priors and produce more plausible trajectories and growth estimates on synthetic and single-cell datasets.

Poster