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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Recursively Trained Diffusion Models: Limiting Collapse Distribution and Spectral Characterization

Nail B Khelifa, Richard Turner, Ramji Venkataramanan

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Recursive training of generative models on their own outputs can lead to model collapse, a compounding drift away from the true data distribution. Existing theoretical works bound finite-round error accumulation in the context of diffusion models, but two questions remain open:~what distribution does the recursion converge to, and how fast? We answer both, isolating a mechanism distinct from imperfect learning: even with perfect score estimation and exact sampling, the early stopping of the reverse diffusion (required for numerical stability) drives a progressive drift away from the data distribution. We prove that this recursion converges geometrically to a unique limiting distribution, which admits a closed-form characterization as an infinite mixture of increasingly Gaussian-smoothed versions of the data distribution. A Hermite spectral decomposition of this limit reveals that recursive training acts as a low-pass filter: higher-order modes, which encode fine non-Gaussian structure, are attenuated much more strongly than coarse modes. This spectral picture motivates annealed truncation schedules that progressively shrink truncation times across retraining rounds; we prove that any schedule converging to $0$ asymptotically eliminates recursive compounding. Finally, we show our idealized characterization is robust: in the presence of discretization and score estimation errors, the learned distribution remains in a Wasserstein-2 ball around the ideal limit, with mode-dependent contraction rates that contract high-order errors faster than low-order ones. We validate the theory on synthetic Gaussian mixtures and CIFAR-10.

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Reconstructing the Vocal Tract with Differentiable Acoustic Simulation

Eric Chen, Jin Woo Lee, Vincent Sitzmann

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The human vocal tract, the cavity consisting of one's throat, mouth, lips opening, etc., filters one's voice to create the sounds we know as speech. In this paper, we present a differentiable and GPU parallelizable acoustic simulator that synthesizes speech by propagating sound along an acoustic tube representation of the vocal tract, and via its gradients, solves the inverse problem: reconstructing the geometry of their vocal tract solely from the sound it produces. Although learning the inverse mapping between geometry and sound is notoriously non-convex, we discover that gradient descent succeeds with three technical contributions: (1) we design a frequency domain formulation of the vocal tract's fluid dynamics that is 70x more GPU parallelizable than finite differences in time, (2) we integrate a differentiable model for turbulence to synthesize consonants, and (3) similar to prior work in implicit neural representations (INRs) and neural radiance fields (NeRFs), we find that parameterizing the geometry with a neural network accelerates convergence and escapes local minima that trap discrete representations. Because the simulator is differentiable, it is readily integrated with other deep learning pipelines to enable novel speech and medical imaging applications. Our model can be used for instance, in singing instruction or language learning, where a visualization of one's vocal tract can help people understand how their vocal tract maps to different speech sounds. To enable these tasks, (1) we demonstrate self-supervised autoencoding of vocal tract shapes across 11 languages, and (2) we couple our simulator with a generative model of MRI images to reconstruct one's moving vocal tract from only their speech, no paired data required.

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Reconciling Causality and Non-Equilibrium Thermodynamics with Hamiltonian Causal Models

Dario Rancati, Max Welling, Francesco Locatello

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Causal modeling of physical temporal phenomena must handle interventions that act along trajectories, nonstationary induced laws, path-dependent effects, and feedback mediated by dynamics, all challenging in standard causal models. We introduce \emph{Hamiltonian Causal Models} (HCMs), a trajectory-level framework in which observed variables interact with local environments and interventions act as controls of Hamiltonian mechanisms. HCMs separate immutable equations of motion from intervenable mechanisms and define causal effects as discrepancies between interventional path laws. A key motivation for HCMs is their natural interface with non-equilibrium thermodynamics. Entropy production quantifies the irreversibility of a process and is a central causal observable: it is estimable from data and witnesses causal effects along the system's evolution that are invisible to endpoint and cumulative versions of the standard average treatment effect. As in physics, cause-and effect are not primitives of the relation between two random variables but arise from the non-invertibility of the thermodynamic arrow. With this, our paper reconciles the language of statistical causal models and non-stationary thermodynamics, offering new tools to describe causality in a wide range of physical systems.

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Reasoning with Undecoded Tokens in Diffusion Language Models

Andre W He, Sean Welleck, Daniel Fried

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Discrete diffusion models have recently become competitive with autoregressive models for language modeling, even outperforming them on reasoning tasks requiring planning and global coherence, but diffusion requires more computation at inference time. We trace this trade-off to a key mechanism: diffusion models are trained to jointly predict all unknown tokens simultaneously, including those that will not actually be decoded in the current step. Ablating this joint prediction yields faster inference but degrades performance, revealing that accurate prediction at the decoded position relies on joint reasoning about the undecoded tokens. We interpret these undecoded positions as latent tokens and introduce a method for modulating their number, achieving a smooth tradeoff between inference speed and sample quality. Furthermore, we demonstrate that latent tokens can be introduced into autoregressive models through an auxiliary multi-token prediction objective, yielding substantial improvements on the same reasoning tasks where they have traditionally struggled. Our results suggest that latent tokens--arising from jointly predicting multiple unknown positions--represent a general mechanism for improving performance on tasks requiring global coherence or lookahead.

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Realism VS Accuracy: Event Sequence Forecasting from a Generative Modeling Perspective

Dmitry Osin, Egor Surkov, Petr Mokrov, Igor Udovichenko, Ivan Karpukhin, Evgeny Burnaev, Egor Shvetsov, Aleksandr Korotin

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Event sequences are chains of random events, each described by heterogeneous (numerical and categorical) features. The problem of event sequence forecasting occurs in finance, healthcare, business process intelligence, and other fields. In this work, we study long-horizon forecasting of event sequences as a conditional generative modeling problem. We evaluate forecast quality from two perspectives: prediction accuracy and distributional realism. To support this, we present a benchmark that contributes metrics for both aspects, strong statistical baselines, recent generative models adapted from adjacent fields, and curated real-world datasets. Careful evaluation reveals that no method excels at both accuracy and realism, highlighting a fundamental trade-off between the two. Finally, we introduce a procedure that aggregates samples from a realism-strong generative model into a state-of-the-art predictor, demonstrating that distributional realism can be converted into prediction accuracy.

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Read It Back: Pretrained MLLMs Are Zero-shot Reward Models for Text-to-Image Generation

Runhui Huang, Qihui Zhang, Zhe Liu, Yu Gao, Jie Wu, Hengshuang Zhao

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In this paper, we propose **SpectraReward**, a training-free reward function that turns pretrained MLLMs into off-the-shelf reward models for image-generation reinforcement learning. Instead of asking the MLLM to judge a generated image or answer decomposed verification questions, SpectraReward measures how well the original prompt can be recovered from the generated image through a single image-conditioned, teacher-forced forward pass. We use the average image-conditioned prompt log-likelihood as the reward, directly reusing the MLLM's pretrained image-text alignment ability without preference labels, reward-model fine-tuning. We further introduce **Self-SpectraReward,** a special case for unified multimodal models where the policy's own understanding branch serves as the reward model for its generation branch, forming a closed-loop self-improving framework without external reward models or external knowledge. Extensive experiments validate SpectraReward through a broad image-generation RL study covering two diffusion models, three RL algorithms, nine reward MLLM backbones from four MLLM families spanning 4B to 235B parameters, and five out-of-distribution text-to-image benchmarks. Results show that both SpectraReward and Self-SpectraReward significantly and consistently improve generation performance and outperform prior MLLM-derived reward training methods. Further analysis reveals that larger reward MLLMs are not always better, while Self-SpectraReward can match or surpass much larger external reward models, suggesting that reward-policy alignment is a key factor for effective image-generation RL.

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ROTATE: Regret-driven Open-ended Training for Ad Hoc Teamwork

Caroline Wang, Muhammad Arrasy Rahman, Benjamin Nativi, Johnny Liu, Jiaxun Cui, Yoonchang Sung, Peter Stone

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Learning to collaborate with previously unseen partners is a fundamental generalization challenge, known as Ad Hoc Teamwork (AHT). Existing methods often adopt a two-stage pipeline: first, a fixed population of teammates is generated, and second, an AHT agent is trained to collaborate with them. This separation limits coverage of behaviors and ignores whether the generated teammates are informative for the AHT agent to learn from. On the other hand, AHT agents are typically trained under the assumption that the training teammate set is uncontrollable, despite the fact that its composition strongly influences generalization. This paper presents a unified framework for AHT by reformulating the problem as an open-ended learning process between an AHT agent and an adversarial teammate generator. We introduce ROTATE, a regret-driven, open-ended training algorithm that alternates between improving the AHT agent and generating teammates that probe its collaboration deficiencies. Experiments across Overcooked and Level-Based Foraging tasks demonstrate that ROTATE significantly outperforms baselines on an unseen set of teammates, establishing a new standard for robust, generalizable teamwork.

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RAOP: Step-Level Resource Orchestration for LLM Agents across Edge and Cloud

Jinze Li, Xin Yang, Shuo Yang, Jinfeng Xu, Edith C Ngai

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LLM agents do not present a fixed inference job to an edge and cloud system. At each step, a placement decision chooses where to generate the next message, where to execute any resulting tool call, which prefix must be replayed, which cache state is updated, and whether the episode continues. As a result, the workload to be scheduled is partly produced by the scheduling decisions themselves. We formalize this problem as an *endogenous, sequentially revealed workload* (ESRW) controlled trajectory MDP. We then introduce **Resource Aware Orchestration Policy** (RAOP), a step level orchestration policy that first places language generation and then, after observing any tool call, places tool execution. RAOP predicts candidate action workloads from prefix replay, prefill, KV cache residency, queue, network, and tool payload features, and is trained with GRPO to optimize measured full trajectory success and latency rather than a one step latency surrogate. To make controlled evaluation auditable, the main simulator replays language and tool continuations produced by real model and tool execution while recomputing physical timing under the sampled placement sequence. As an analytical lens, we derive a Bellman regret decomposition showing that myopic placement policies incur error from workload prediction, success priors, and a controlled endogeneity term. On GSM8K, HotpotQA, WebShop, and a calibrated three tier deployment, RAOP matches the strong cloud only success reference while reducing P99 latency by about 53\% and communication by about 73\%. Against the strongest learned step level baseline, RAOP improves average success by 2.5 points, indicating that full trajectory optimization is central for agent orchestration.

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RAMA: Resistance-Aware Multi-Hop Aggregation Graph Representation Learning for Robust Ethereum Account Classification

Zhaowei Liu, zengyang zhang, HaitaoYang, Yao Shan, Xiangfu Zhao, Yongchao Song

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Fraudulent behaviors in Ethereum, such as Ponzi schemes and phishing attacks, pose persistent threats to blockchain security. Classifying high-risk accounts is crucial for mitigating these threats. Given the graph-structured nature of Ethereum transactions, Graph Neural Networks (GNNs) are widely adopted for this task. However, conventional GNNs rely on local aggregation and treat all edges equally, which amplifies structural noise and limits the ability to capture weak but semantically meaningful connections. This limitation arises from the inability to distinguish informative links from spurious ones during message passing, especially in noisy and long-range transaction graphs. To address this, we propose RAMA, a Resistance-Aware Multi-hop Aggregation framework that reweights edges using resistance distance to reduce the influence of noisy links while preserving important topological information. It also employs attention-based multi-hop aggregation to effectively integrate both local and global transaction patterns. Experiments on real-world Ethereum datasets show that RAMA consistently outperforms strong baselines in Macro-F1 and remains robust under edge perturbations, demonstrating its effectiveness for practical account classification in blockchain environments.

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Provably Safe, Yet Performant Reinforcement Learning

Kai Yun, Zeyang Li, Navid Azizan

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Safe reinforcement learning (RL) aims to learn policies that optimize rewards while satisfying constraints. Predominant approaches rely on soft-constrained policy optimization, which has achieved empirical success but does not provide formal safety guarantees for the learned policy. In contrast, methods with strict guarantees typically rely on explicit certificate functions, whose construction requires the direct synthesis and verification of control-invariant sets, a process that scales poorly with state dimension and often yields overly conservative behavior. In this paper, we present the Provably Safe, yet Performant RL (PSP-RL) framework, a novel two-phase architecture for learning provably safe policies in a scalable manner, designed to overcome the key bottlenecks of prior methods. Rather than explicitly computing invariant sets, PSP-RL leverages a learned backup policy to forward-integrate the system dynamics, generating an implicit control-invariant set online. In the first phase, the backup policy is trained with our proposed safe-arrival value function, which characterizes the optimal backup policy for invariant-set construction. In the second phase, an RL policy is trained end-to-end through a differentiable projection layer that strictly enforces the safety guarantees induced by the learned backup policy. By maximizing the volume of the implicit control-invariant set in the first phase, the resulting PSP policy from the second phase is performant and scalable, while maintaining provable safety. Crucially, PSP-RL imposes no restrictions on the underlying RL algorithm and can be plugged into any existing training pipeline. We establish theoretical guarantees for the proposed framework and evaluate it on robotic control tasks with state dimensions up to 10, a regime in which prior provably safe RL methods struggle or become impractical.

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Prospective Coding Improves Learning in Deep Continuous-Time Recurrent Networks

Shivang Rawat, Mirko Morello, Flaviano Morone, David Heeger

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Temporal integration gives continuous-time recurrent networks memory, but in deep stacks it also delays bottom-up signals and attenuates top-down errors. We ask whether this failure mode can be addressed by making the bottom-up input to each layer prospective, replacing instantaneous layer inputs with local look-ahead signals that compensate for integration-induced lag. We develop Recursive Quadrature Filters (RQFs), a biologically motivated class of complex-valued temporal filters that remain equivalent to single-channel diagonal state-space models (SSMs). This equivalence makes RQF layers trainable with the same parallel scan and convolutional algorithms used for diagonal SSMs. At the implementation level, this prospective input amounts to a lightweight two-tap input update, making it a drop-in modification for RQFs and SSMs. For the resulting discrete-time network, we prove that spatial-only backpropagation in a deep RQF network with instantaneous bottom-up inputs yields error signals that decay geometrically with depth, whereas prospective-input coding restores order-one gradient flow. We evaluate prospective-input coding on the Speech Commands dataset using standalone RQF recurrent stacks across two feature representations, mel-frequency cepstral coefficients (MFCCs) and raw audio, and local and non-local credit-assignment strategies. Under spatial-only backpropagation, prospective-input coding improves validation accuracy from 65.7% to 84.9% on MFCC features and from 46.4% to 61.0% on raw audio. Under full backpropagation through time, the gains persist, improving accuracy from 89.4% to 93.2% on MFCC features and from 80.1% to 82.7% on raw audio. Taken together, our results identify prospective-input coding as a local, broadly applicable mechanism for improving credit assignment in multi-layer recurrent networks with a continuous-time substrate.

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Proper Agnostic Learning of Functions of Halfspaces

Sergei Tikhonov, Arsen Vasilyan

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We study the problem of computationally efficient **proper agnostic learning** of high-dimensional concept classes under the Gaussian distribution. In this setting, given i.i.d.\ labeled samples from an unknown distribution over $\mathbb{R}^d \times \{\pm 1\}$ whose marginal on $\mathbb{R}^d$ is Gaussian, the goal is to output a hypothesis from a target class $\mathcal{F}$ whose 0-1 loss is within $\varepsilon$ of that of the best classifier in $\mathcal{F}$. We give the first efficient proper agnostic learning algorithm for arbitrary Boolean functions of $K$ halfspaces under Gaussian marginals. Our algorithm runs in time $d^{O(K^2 \log(1/\varepsilon)/\varepsilon^2)} + (K/\varepsilon)^{O(K^3/\varepsilon^{2.5})}$. Prior to our work, the only known algorithm for $K \geq 2$ was brute-force search, with runtime exponential in $d$. Moreover, the dependence of our runtime on the dimension $d$ matches that of the best known \emph{improper} learning algorithm, namely $d^{\widetilde{O}(K^2/\varepsilon^2)}$. For the special case of a single halfspace ($K=1$), the best previous runtime was $d^{O(1/\varepsilon^4)} + (1/\varepsilon)^{O(1/\varepsilon^6)}$.\ Our algorithm improves this to $d^{O(1/\varepsilon^2)} + (1/\varepsilon)^{O(1/\varepsilon^{2.5})}$. Once again, the dependence on $d$ matches that of the best known improper algorithm, namely $d^{O(1/\varepsilon^2)}$. Furthermore, the dependence of our runtime on the dimension $d$ is essentially optimal in the statistical query model.

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ProCLIP: Progressive Vision-Language Alignment via LLM-based Embedder

Xiaoxing Hu, Kaicheng Yang, Ziqi Ye, Ziyang Gong, Qi Ming, Zonghao Guo, Yu Tian, Xiang An, Ziyong Feng, Xue Yang

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Contrastive Language-Image Pre-training (CLIP) is fundamentally limited by its 77-token restriction, lack of multilingual capabilities, and coarse-grained semantic representations. While replacing CLIP’s native text encoder with a Large Language Model (LLM)-based embedder offers a promising solution, direct, from-scratch alignment can disrupt the semantic structures learned during pre-training. This often leads to degradation of cross-modal knowledge and particularly impairs recognition capabilities in zero-shot scenarios. In this paper, we propose ProCLIP, a curriculum-learning-inspired progressive alignment framework designed to systematically bridge the LLM embedder and CLIP's visual space, unlocking CLIP's potential for long-text, multilingual, and fine-grained understanding. Our framework operates in two stages: (1) Representation Inheritance, which distills CLIP's original text-space knowledge into an LLM adapter to establish a robust initial vision-language prior, and (2) Contrastive Tuning, which refines the cross-modal alignment with self-distillation regularization on the image encoder to further prevent catastrophic forgetting. To maintain semantic and geometric consistency, we introduce instance-level semantic and global structural alignment constraints throughout both stages. Extensive experiments demonstrate that ProCLIP improves zero-shot classification accuracy by 6.8%--13.5% over existing LLM-augmented baselines and achieves state-of-the-art performance in diverse long-text, multilingual, and fine-grained cross-modal retrieval tasks under comparable settings.

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Post-ADC Inference: Valid Inference After Active Data Collection

Shuichi Nishino, Tomohiro Shiraishi, Teruyuki Katsuoka, Ichiro Takeuchi

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The validity of statistical inference depends critically on how data are collected.When data gathered through active data collection (ADC) are reused for a post-hoc inferential task, conventional inference can fail because the sampling process is adaptively biased toward regions favored by the collection strategy. This issue is especially pronounced in black-box optimization, where sequential model-based optimization (SMBO) methods such as the tree-structured Parzen estimator (TPE) and Gaussian process upper confidence bound (GP-UCB) preferentially concentrate evaluations in promising regions. We study statistical inference on actively collected data when the inferential target is constructed in a data-dependent manner after data collection. To enable valid inference in this setting, we propose post-ADC inference, a framework that accounts for the biases arising from both the active data collection process and the subsequent data-driven target construction. Our method builds on selective inference and provides valid $p$-values and confidence intervals that correct for both sources of bias. The framework applies to a broad class of ADC processes by imposing only assumptions on the observation noise, without requiring any assumptions on the underlying black-box function or the surrogate model used by the SMBO algorithm. Empirical results also show that post-ADC inference provides valid inference for data collected by GP-UCB and TPE.

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Position: Reconciling Open Access with Owner Control in AI Model Distribution Deserves More Research Effort

Zerui Cheng, Edoardo Contente, Benjamin Finch, Oleg Golev, Jonathan Hayase, Andrew Miller, Niusha Moshrefi, Anshul Nasery, Sewoong Oh, Himanshu Tyagi, Pramod Viswanath

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The rapid rise of AI has seen the coexistence of open-weight models and closed-source, API-based deployment, each with its own strengths and limitations. A growing share of deployment scenarios needs both local, customizable execution and owner-side accountability, yet neither extreme serves them well. Such scenarios include on-prem enterprise use with sensitive data, edge and offline robotics, and local fine-tuning or retrieval-augmented generation. This position paper argues that the middle regime between closed APIs and open-weight release deserves a principled deployment-level primitive of its own, and proposes OML—Open, Monetizable, Loyal—as a starting point for that primitive. An OML-formatted artifact aims to be simultaneously Open (open-weight and locally executable), Monetizable (usage is accountable to the owner), and Loyal (owner-declared use constraints are enforceable). Throughout, "open" refers to open-weight, locally executable artifacts rather than to fully open-source release, and "loyal" refers to owner-declared use constraints rather than to remote control over a running model. We articulate the desirable properties and threat model for OML, survey theoretical and practical constructions across software, hardware, and cryptographic primitives, and outline an end-to-end deployment protocol together with market-based and policy alternatives. We then describe OML 1.0, a low-overhead instantiation based on AI-native fingerprinting, and characterize the regime in which it provides meaningful guarantees. We close with a research agenda calling on the ML, cryptography, systems, and mechanism-design communities to refine the primitives needed to make OML deployable at scale.

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Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals

Ilias Diakonikolas, Giannis Iakovidis, Mingchen Ma

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We study the task of agnostic learning of multiclass linear classifiers under the Gaussian distribution. Given labeled examples $(x, y)$ from a distribution over $\mathbb{R}^d \times [k]$, with Gaussian $x$-marginal, the goal is to output a hypothesis whose error is comparable to that of the best $k$-class linear classifier. While the binary case $k=2$ has a well-developed algorithmic theory, much less is known for $k \ge 3$. Even for $k=3$, prior robust algorithms incur exponential dependence on the inverse of the desired accuracy in both complexity and representation size. In this work, we develop new structural results for multiclass linear classifiers and use them to design fully polynomial-time robust learners with dimension-independent error guarantees. Our first result shows that the standard multiclass perceptron algorithm requires super-polynomially many samples and updates, even with clean labels and Gaussian marginals, revealing a basic obstruction absent in the binary case. Our main positive result is a pairwise improper-learning framework which yields an efficient learner with error $\widetilde O(k^{3/2}\sqrt{\mathrm{opt}})+\epsilon$ for general $k$. Additionally, we develop a sharper localization-based framework which leads to error $O(\mathrm{opt})+\epsilon$ for $k=3$, and error $\mathrm{poly}(k)\mathrm{opt}+\epsilon$ for geometrically regular $k$-class linear classifiers.

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Polynomial-Time Algorithm for Thiele Voting Rules with Voter Interval Preferences

Pasin Manurangsi, Krzysztof Sornat

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We present a polynomial-time algorithm for computing an optimal committee of size $k$ under any given Thiele voting rule for elections on the Voter Interval domain (i.e., when voters can be ordered so that each candidate is approved by a consecutive voters). Our result extends to the Generalized Thiele rule, in which each voter has an individual weight (scoring) sequence. This resolves a 10-year-old open problem that was originally posed for Proportional Approval Voting and later extended to every Thiele rule (Elkind and Lackner, IJCAI 2015; Peters, AAAI 2018). Our main technical ingredient is a new structural result---a concavity theorem for families of intervals. It shows that, given two solutions of different sizes, one can construct a solution of any intermediate size whose score is at least the corresponding linear interpolation of the two scores. As a consequence, on Voter Interval profiles, the optimal total Thiele score is a concave function of the committee size. We exploit this concavity within an optimization framework based on a Lagrangian relaxation of a natural integer linear program formulation, obtained by moving the cardinality constraint into the objective. On Voter Interval profiles, the resulting constraint matrix is totally unimodular, so it can be solved in polynomial time. Our main algorithm and its proof were obtained via human--AI collaboration. In particular, a slightly simplified version of the main structural theorem used by the algorithm was obtained in a single call to Gemini Deep Think.

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Poisoning Attacks on LLMs Require a Near-constant Number of Poison Samples

Alexandra Souly, Javier Rando, Ed Chapman, Xander Davies, Burak Hasircioglu, Ezzeldin Shereen, Carlos Mougan, Vasilios Mavroudis, Erik Jones, Chris Hicks, Nicholas Carlini, Yarin Gal, Robert Kirk

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Poisoning attacks can compromise the safety of large language models (LLMs) by injecting malicious documents into their training data. Existing work has studied pretraining poisoning assuming adversaries control a percentage of the training corpus. However, for large models, even small percentages translate to impractically large amounts of data. This work demonstrates for the first time that poisoning attacks instead require a near-constant number of documents regardless of dataset size. We conduct the largest pretraining poisoning experiments to date, pretraining models from 600M to 13B parameters on chinchilla-optimal datasets (6B to 260B tokens). We find that 250 poisoned documents similarly compromise models across all model and dataset sizes, despite the largest models training on more than 20 times more clean data. We also run smaller-scale experiments to ablate factors that could influence attack success, including broader ratios of poisoned to clean data and non-random distributions of poisoned samples. Finally, we demonstrate the same dynamics for poisoning during fine-tuning. Altogether, our results suggest that injecting backdoors through data poisoning may be easier for large models than previously believed as the number of poisons required does not scale up with model size—highlighting the need for more research on defences to mitigate this risk in future models.

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Point4D: Long-range 4D Motion Reconstruction

Minsik Jeon, Jay Karhade, Deva Ramanan, Shubham Tulsiani

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We introduce Point4D, a feed-forward model for 4D reconstruction of long-range video sequences. Point4D is able to reliably infer dense per-point 3D trajectories across multi-hundred video sequences, unlike existing 4D methods that are limited to short input windows of at most a few dozen frames. A key innovation that enables this is our flexible 3D query-based motion decoder that decouples trajectory prediction from image-plane visibility. The predicted 3D endpoints are then directly re-queried in the next chunk without re-projection or matching. Furthermore, we show that extracting and reusing a visual across an arbitrary frame where the point is visible leads to superior performance than purely relying on the source patch. Overall, Point4D achieves state-of-the-art performance across diverse long-video tracking benchmarks spanning over 200 frames and substantially outperforms previous feed-forward 4D methods.

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Point-to-Manifold Geometry: Flexibly Overcoming the Curse of Dimensionality in Neural Computational Units

Rohan Ghosh, Mehul Motani

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The ability of neural networks to generalize is fundamentally shaped by their computational units. While the perceptron provides a first-order, linear inductive bias and the radial basis function (RBF) unit offers an isotropic curved bias, we identify a critical opportunity for a structured extension: the Generative Matching Unit (GMU). Each individual GMU captures complex dependencies by treating the forward pass as an inference problem; its internal generative model optimizes instance-specific latent parameters to compute a reconstruction error, effectively measuring a point-to-manifold distance as opposed to the point-to-point distance in RBFs. We focus on linear GMUs, which yield closed-form analytical expressions for fast computation and extend naturally to convolutional architectures. Our theoretical analysis demonstrates that linear GMUs are highly flexible universal approximators capable of recovering structured class posteriors. We prove that while a single GMU can exactly emulate an RBF kernel and two can emulate the decision boundary of a perceptron, emulating a single $k$-order GMU’s decision boundary requires a hidden layer of standard units that scales polynomially or exponentially with input dimensionality. Furthermore, we prove that the GMU’s point-to-manifold distance remains discriminative in high dimensions where standard Euclidean distances fail, offering unique robustness to the curse of dimensionality. Finally, we show that GMUs offer superior flexibility and efficiency in learning smooth manifold decision boundaries compared to MLPs and RBFs. Motivated by the theoretical results, we place GMUs in the first network layer like RBFs, where their role is to enhance linear separability for subsequent layers. This avoids the typical gradient collapse problem with stacking RBF-like units while ensuring the generalization benefits remain. We find that across extensive experiments involving 27 tabular datasets, five vision datasets evaluated across 34 test-time corruption settings, and 30 synthetic scenarios, GMU networks demonstrate statistically significant improvements in generalization and robustness.

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