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This paper presents a mathematically rigorous framework for brain-inspired representation learning founded on the interplay between persistent topological structures and cohomological flows. Neural computation is reformulated as the…

Machine Learning · Computer Science 2025-12-10 Preksha Girish , Rachana Mysore , Mahanthesha U , Shrey Kumar , Shipra Prashant

We report fundamental insights into how agentic graph reasoning systems spontaneously evolve toward a critical state that sustains continuous semantic discovery. By rigorously analyzing structural (Von Neumann graph entropy) and semantic…

Artificial Intelligence · Computer Science 2025-03-25 Markus J. Buehler

In the manuscript titled "Computation environment (1)", we introduced a notion called computation environment as an interactive model for computation and complexity theory. In this model, Turing machines are not autonomous entities and find…

Logic in Computer Science · Computer Science 2012-07-03 Rasoul Ramezanian

We introduce the State Stream Transformer (SST), a novel LLM architecture that reveals emergent reasoning behaviours and capabilities latent in pretrained weights through addressing a fundamental limitation in traditional transformer…

Machine Learning · Computer Science 2025-01-31 Thea Aviss

Computational topology provides a tool, persistent homology, to extract quantitative descriptors from structured objects (images, graphs, point clouds, etc). These descriptors can then be involved in optimization problems, typically as a…

Computational Geometry · Computer Science 2026-03-27 Mathieu Carriere , Yuichi Ike , Théo Lacombe , Naoki Nishikawa

Deep neural networks have usually to be compressed and accelerated for their usage in low-power, e.g. mobile, devices. Recently, massively-parallel hardware accelerators were developed that offer high throughput and low latency at low power…

Machine Learning · Computer Science 2021-08-04 Thomas Pfeil

Reservoir computing is a popular approach to design recurrent neural networks, due to its training simplicity and approximation performance. The recurrent part of these networks is not trained (e.g., via gradient descent), making them…

Neural and Evolutionary Computing · Computer Science 2021-02-15 Pietro Verzelli , Cesare Alippi , Lorenzo Livi , Peter Tino

Smartphones, laptops, and data centers are CMOS-based technologies that ushered our world into the information age of the 21st century. Despite their advantages for scalable computing, their implementations come with surprisingly large…

Statistical Mechanics · Physics 2026-02-13 Christian Z. Pratt , Kyle J. Ray , James P. Crutchfield

Scene-level point cloud self-supervised learning (PC-SSL) has demonstrated potential in enhancing the generalization capability of 3D vision models. Despite the advances in the field through existing methods, the sample-independent modeling…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Xinxing Yu , Ajian Liu , Sunyuan Qiang , Hui Ma , Liying Yang , Yuzhong Wang , Zhi Rao , Yanyan Liang

The deployment of deep learning inference in production environments continues to grow, where throughput, latency, and hardware efficiency are critical. Although specialized accelerators are increasingly adopted, many inference workloads…

Performance · Computer Science 2026-02-20 Kathiravan Palaniappan

We describe an approach to bounded-memory computation of persistent homology and betti barcodes, in which a computational state is maintained with updates introducing new edges to the underlying neighbourhood graph and percolating the…

Computational Geometry · Computer Science 2011-06-01 Mikael Vejdemo-Johansson

We develop a general theory of semantic dynamics for large language models by formalizing them as Continuous State Machines (CSMs): smooth dynamical systems whose latent manifolds evolve under probabilistic transition operators. The…

Machine Learning · Statistics 2025-12-08 C. M. Wyss

In-memory computing is an emerging computing paradigm that could enable deeplearning inference at significantly higher energy efficiency and reduced latency. The essential idea is to map the synaptic weights corresponding to each layer to…

Machine Learning · Computer Science 2019-06-11 Martino Dazzi , Abu Sebastian , Pier Andrea Francese , Thomas Parnell , Luca Benini , Evangelos Eleftheriou

Given a pool of observations selected from a sensor stream, input data can be robustly represented, via a multiscale process, in terms of invariant concepts, and themes. Applying this to episodic natural language data, one may obtain a…

Artificial Intelligence · Computer Science 2020-10-19 Mark Burgess

Logic is the main formal language to perform automated reasoning, and it is further a human-interpretable language, at least for small formulae. Learning and optimising logic requirements and rules has always been an important problem in…

Artificial Intelligence · Computer Science 2023-05-08 Gaia Saveri , Luca Bortolussi

The rapid progress of GANs and Diffusion Models poses new challenges for detecting AI-generated images. Although CLIP-based detectors exhibit promising generalization, they often rely on semantic cues rather than generator artifacts,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Beilin Chu , Weike You , Mengtao Li , Tingting Zheng , Kehan Zhao , Xuan Xu , Zhigao Lu , Jia Song , Moxuan Xu , Linna Zhou

Context-aware compression techniques have gained increasing attention as model sizes continue to grow, introducing computational bottlenecks that hinder efficient deployment. A structured encoding approach was proposed to selectively…

Computation and Language · Computer Science 2025-02-13 Barnaby Schmitt , Alistair Grosvenor , Matthias Cunningham , Clementine Walsh , Julius Pembrokeshire , Jonathan Teel

Data-driven convective parameterization aims to accurately represent convective adjustments to large-scale forcings in a computationally economic manner. While previous studies have demonstrated success using various model architectures,…

Atmospheric and Oceanic Physics · Physics 2025-06-02 Qiyu Song , Zhiming Kuang

This work explores the advantages of using persistence diagrams (PDs), topological signatures of raw point cloud data, in a point-to-point communication setting. PD is a structural semantics in the sense that it carries information about…

Information Theory · Computer Science 2024-12-31 Charmin Asirimath , Chathuranga Weeraddana , Sumudu Samarakoon , Jayampathy Ratnayake , Mehdi Bennis

While cognitive representations of an environment can last for days and even months, the synaptic architecture of the neuronal networks that underlie these representations constantly changes due to various forms of synaptic and structural…

Neurons and Cognition · Quantitative Biology 2016-06-10 Andrey Babichev , Yuri Dabaghian
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