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In self-supervised representation learning, a common idea behind most of the state-of-the-art approaches is to enforce the robustness of the representations to predefined augmentations. A potential issue of this idea is the existence of…

Machine Learning · Computer Science 2021-08-26 Tianyu Hua , Wenxiao Wang , Zihui Xue , Sucheng Ren , Yue Wang , Hang Zhao

We present Decomposer, a semi-supervised reconstruction model that decomposes distorted image sequences into their fundamental building blocks - the original image and the applied augmentations, i.e., shadow, light, and occlusions. To solve…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Boris Meinardus , Mariusz Trzeciakiewicz , Tim Herzig , Monika Kwiatkowski , Simon Matern , Olaf Hellwich

We show that if a theory R defined by a rewrite system is super-consistent, the classical sequent calculus modulo R enjoys the cut elimination property, which was an open question. For such theories it was already known that proofs strongly…

Logic in Computer Science · Computer Science 2014-01-07 Lisa Allali , Olivier Hermant

When a cognitive system modifies its own functioning, what exactly does it modify: a low-level rule, a control rule, or the norm that evaluates its own revisions? Cognitive science describes executive control, metacognition, and…

Artificial Intelligence · Computer Science 2026-03-31 Florentin Koch

Constructing complex computation from simpler building blocks is a defining problem of computer science. In algebraic automata theory, we represent computing devices as semigroups. Accordingly, we use mathematical tools like products and…

Group Theory · Mathematics 2025-05-06 Attila Egri-Nagy , Chrystopher L. Nehaniv

As systems trend toward superintelligence, a natural modeling premise is that agents can self-improve along every facet of their own design. We formalize this with a five-axis decomposition and a decision layer, separating incentives from…

Artificial Intelligence · Computer Science 2026-02-03 Charles L. Wang , Keir Dorchen , Peter Jin

In this work, we observe that many existing self-supervised learning algorithms can be both unified and generalized when seen through the lens of equivariant representations. Specifically, we introduce a general framework we call…

Machine Learning · Computer Science 2022-11-16 T. Anderson Keller , Xavier Suau , Luca Zappella

In the era of proliferation of large language and image generation models, the phenomenon of "model collapse" refers to the situation whereby as a model is trained recursively on data generated from previous generations of itself over time,…

Machine Learning · Computer Science 2024-05-02 Elvis Dohmatob , Yunzhen Feng , Julia Kempe

Self-supervised learning (SSL) has recently shown remarkable results in closing the gap between supervised and unsupervised learning. The idea is to learn robust features that are invariant to distortions of the input data. Despite its…

Sound · Computer Science 2023-03-08 Bac Nguyen , Stefan Uhlich , Fabien Cardinaux

The following briefly discusses possible difficulties in communication with and control of an AGI (artificial general intelligence), building upon an explanation of The Fermi Paradox and preceding work on symbol emergence and artificial…

Artificial Intelligence · Computer Science 2024-04-30 Michael Timothy Bennett

Logical paradoxes and inconsistent information pose deep challenges in epistemology and the philosophy of logic. Classical systems typically handle contradictions only through external checks or by altering the logical framework, as in…

Quantum Physics · Physics 2025-12-29 Nikolaos Cheimarios , Spyridoula Cheimariou

Prior interpretability research studying narrow distributions has preliminarily identified self-repair, a phenomena where if components in large language models are ablated, later components will change their behavior to compensate. Our…

Machine Learning · Computer Science 2025-04-15 Cody Rushing , Neel Nanda

We introduce an increasing-complexity, open-ended, and human-agnostic metric to evaluate foundational and frontier AI models in the context of Artificial General Intelligence (AGI) and Artificial Super Intelligence (ASI) claims. Unlike…

Artificial Intelligence · Computer Science 2026-02-13 Alberto Hernández-Espinosa , Luan Ozelim , Felipe S. Abrahão , Hector Zenil

Multiplicative logarithmic corrections frequently characterize critical behaviour in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when…

Statistical Mechanics · Physics 2009-11-11 R. Kenna , D. A. Johnston , W. Janke

This paper presents a semantics of self-adjusting computation and proves that the semantics are correct and consistent. The semantics integrate change propagation with the classic idea of memoization to enable reuse of computations under…

Programming Languages · Computer Science 2011-06-03 Umut A. Acar , Matthias Blume , Jacob Donham

Self-supervised learning allows AI systems to learn effective representations from large amounts of data using tasks that do not require costly labeling. Mode collapse, i.e., the model producing identical representations for all inputs, is…

Machine Learning · Computer Science 2022-09-19 Serdar Ozsoy , Shadi Hamdan , Sercan Ö. Arik , Deniz Yuret , Alper T. Erdogan

In this paper, we introduce the representation of modified $\lambda$-differential $3$-Lie algebras and define the cohomology of modified $\lambda$-differential $3$-Lie algebras with coefficients in a representation. As applications of the…

Rings and Algebras · Mathematics 2025-03-25 Wen Teng , Hui Zhang

The structure of the commutator algebra for conformal quantum mechanics is considered. Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry…

High Energy Physics - Theory · Physics 2007-05-23 Gino N. J. Ananos , Horacio E. Camblong , Carlos Gorrichategui , Ernesto Hernadez , Carlos R. Ordonez

Despite dropout's ubiquity in machine learning, its effectiveness as a form of data augmentation remains under-explored. We address two key questions: (i) When is dropout effective as an augmentation strategy? (ii) Is dropout uniquely…

Machine Learning · Computer Science 2025-06-02 Rickard Brüel-Gabrielsson , Tongzhou Wang , Manel Baradad , Justin Solomon

Consider an elliptic self-adjoint pseudodifferential operator $A$ acting on $m$-columns of half-densities on a closed manifold $M$, whose principal symbol is assumed to have simple eigenvalues. We show existence and uniqueness of $m$…

Analysis of PDEs · Mathematics 2022-02-09 Matteo Capoferri , Dmitri Vassiliev
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