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We study the theoretical foundations of composition in diffusion models, with a particular focus on out-of-distribution extrapolation and length-generalization. Prior work has shown that composing distributions via linear score combination…

Machine Learning · Computer Science 2025-09-29 Arwen Bradley , Preetum Nakkiran , David Berthelot , James Thornton , Joshua M. Susskind

Humans excel at applying learned behavior to unlearned situations. A crucial component of this generalization behavior is our ability to compose/decompose a whole into reusable parts, an attribute known as compositionality. One of the…

Artificial Intelligence · Computer Science 2024-07-24 Prasanna Vijayaraghavan , Jeffrey Frederic Queisser , Sergio Verduzco Flores , Jun Tani

Transformers trained on huge text corpora exhibit a remarkable set of capabilities, e.g., performing basic arithmetic. Given the inherent compositional nature of language, one can expect the model to learn to compose these capabilities,…

Machine Learning · Computer Science 2024-02-07 Rahul Ramesh , Ekdeep Singh Lubana , Mikail Khona , Robert P. Dick , Hidenori Tanaka

We demonstrate a conditional autoregressive pipeline for efficient music recomposition, based on methods presented in van den Oord et al.(2017). Recomposition (Casal & Casey, 2010) focuses on reworking existing musical pieces, adhering to…

Sound · Computer Science 2018-11-20 Kyle Kastner , Rithesh Kumar , Tim Cooijmans , Aaron Courville

Compositional generalization is a basic and essential intellective capability of human beings, which allows us to recombine known parts readily. However, existing neural network based models have been proven to be extremely deficient in…

Artificial Intelligence · Computer Science 2020-10-27 Qian Liu , Shengnan An , Jian-Guang Lou , Bei Chen , Zeqi Lin , Yan Gao , Bin Zhou , Nanning Zheng , Dongmei Zhang

A generally intelligent learner should generalize to more complex tasks than it has previously encountered, but the two common paradigms in machine learning -- either training a separate learner per task or training a single learner for all…

Machine Learning · Computer Science 2019-05-09 Michael B. Chang , Abhishek Gupta , Sergey Levine , Thomas L. Griffiths

Leveraging the compositional nature of our world to expedite learning and facilitate generalization is a hallmark of human perception. In machine learning, on the other hand, achieving compositional generalization has proven to be an…

Machine Learning · Computer Science 2023-07-13 Thaddäus Wiedemer , Prasanna Mayilvahanan , Matthias Bethge , Wieland Brendel

Diffusion models are capable of generating photo-realistic images that combine elements which likely do not appear together in the training set, demonstrating the ability to \textit{compositionally generalize}. Nonetheless, the precise…

Artificial Intelligence · Computer Science 2024-10-14 Qiyao Liang , Ziming Liu , Mitchell Ostrow , Ila Fiete

Compositional generalization, the ability to generate novel combinations of known concepts, is a key ingredient for visual generative models. Yet, not all mechanisms that enable or inhibit it are fully understood. In this work, we conduct a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Karim Farid , Rajat Sahay , Yumna Ali Alnaggar , Simon Schrodi , Volker Fischer , Cordelia Schmid , Thomas Brox

Compositional generalization, the ability of an agent to generalize to unseen combinations of latent factors, is easy for humans but hard for deep neural networks. A line of research in cognitive science has hypothesized a process,…

Machine Learning · Computer Science 2023-10-31 Yi Ren , Samuel Lavoie , Mikhail Galkin , Danica J. Sutherland , Aaron Courville

Compositional generalization requires models to produce novel configurations from familiar parts. In diffusion models, prior compositional generation methods typically assume that the relevant concepts or conditioning signals are already…

Machine Learning · Computer Science 2026-05-11 Zekun Wang , Anant Gupta , Tianyi Zhu , Christopher J. MacLellan

Object-centric representations promise a key property for few-shot learning: Rather than treating a scene as a single unit, a model can decompose it into individual object-level parts that can be matched and compared across different…

Machine Learning · Computer Science 2026-05-19 Phu-Quy Nguyen-Lam , Phu-Hoa Pham , Dao Sy Duy Minh , Chi-Nguyen Tran , Huynh Trung Kiet , Long Tran-Thanh

Many tasks in control, robotics, and planning can be specified using desired goal configurations for various entities in the environment. Learning goal-conditioned policies is a natural paradigm to solve such tasks. However, current…

Machine Learning · Computer Science 2022-03-14 Allan Zhou , Vikash Kumar , Chelsea Finn , Aravind Rajeswaran

Single-image 3D shape reconstruction is an important and long-standing problem in computer vision. A plethora of existing works is constantly pushing the state-of-the-art performance in the deep learning era. However, there remains a much…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Songfang Han , Jiayuan Gu , Kaichun Mo , Li Yi , Siyu Hu , Xuejin Chen , Hao Su

Compositional generalization, the ability to recognize familiar parts in novel contexts, is a defining property of intelligent systems. Although modern models are trained on massive datasets, they still cover only a tiny fraction of the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Arnas Uselis , Andrea Dittadi , Seong Joon Oh

Diffusion language models enable any-order generation and bidirectional conditioning, offering appealing flexibility for tasks such as infilling, rewriting, and self-correction. However, their formulation-predicting one part of a sequence…

Computation and Language · Computer Science 2026-01-21 Tianqi Du , Lizhe Fang , Weijie Yang , Chenheng Zhang , Zeming Wei , Yifei Wang , Yisen Wang

Autoregressive and diffusion models represent two complementary generative paradigms. Autoregressive models excel at sequential planning and constraint composition, yet struggle with tasks that require explicit spatial or physical…

Artificial Intelligence · Computer Science 2026-02-03 Mu Yuan , Liekang Zeng , Guoliang Xing , Lan Zhang , Yunhao Liu

Compositional generalization refers to correctly interpret novel combinations of known primitives, which remains a major challenge. Existing approaches often rely on supervised fine-tuning, which encourages models to imitate target outputs.…

Machine Learning · Computer Science 2026-05-07 Xiyan Fu , Wei Liu

Composition-the ability to generate myriad variations from finite means-is believed to underlie powerful generalization. However, compositional generalization remains a key challenge for deep learning. A widely held assumption is that…

Machine Learning · Computer Science 2025-05-27 Qiyao Liang , Daoyuan Qian , Liu Ziyin , Ila Fiete

Generalization error defines the discriminability and the representation power of a deep model. In this work, we claim that feature space design using deep compositional function plays a significant role in generalization along with…

Machine Learning · Computer Science 2017-07-11 Mrinal Haloi
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