Tootfinder

Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique
Stephan Sturm
https://arxiv.org/abs/2506.01815

Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique
We provide an introduction to the topic of path signatures as means of feature extraction for machine learning from data streams. The article stresses the mathematical theory underlying the signature methodology, highlighting the conceptual character without plunging into the technical details of rigorous proofs. These notes are based on an introductory presentation given to students of the Research Experience for Undergraduates in Industrial Mathematics and Statistics at Worcester Polytechnic …

Saw a nuclear shelter in our town and wondered if they would even work against a modern nuclear weapon. Short answer: Hahahahahahahaha…. No.
"[Modern] bombs utilize the atomic explosion described, [Hydrogen fusion], merely to trigger a larger, thermonuclear explosion. This explosion can have a blast radius of up to 100 miles (160 kilometers). (For comparison, the bombs used on Hiroshima and Nagasaki had blast radii of about 1 mile, or 1.6 km.)

Would a fallout shelter really protect you in a nuclear blast?
Nuclear bunkers aren't a foolproof way to stay safe during a nuclear attack. Here's why.

"My advice to young students today is to study language and mathematics. When you talk to a chatbot, you’re using everyday language to talk to a mathematical system that, in turn, talks back to you. Technical skills won’t be enough to deal with the unpredictable results in markets, so a broad-based knowledge of math and language will be the only way to adapt."

Dyna-Think: Synergizing Reasoning, Acting, and World Model Simulation in AI Agents
Xiao Yu, Baolin Peng, Ruize Xu, Michel Galley, Hao Cheng, Suman Nath, Jianfeng Gao, Zhou Yu
https://arxiv.org/abs/2506.00320

Dyna-Think: Synergizing Reasoning, Acting, and World Model Simulation in AI Agents
Recent progress in reasoning with large language models (LLMs), such as DeepSeek-R1, demonstrates impressive capabilities in domains like mathematics and coding, by exhibiting complex cognitive behaviors such as verification, goal decomposition, and self-reflection. However, it is unclear what behavior is effective and what behavior is missing for long-horizon AI agents tasks. In this work, we propose Dyna-Think, a thinking framework that integrates planning with an internal world model with re…

This https://arxiv.org/abs/1810.08277 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quantum computing from a mathematical perspective: a description of the quantum circuit model
This paper is an essentially self-contained and rigorous description of the fundamental principles of quantum computing from a mathematical perspective. It is intended to help mathematicians who want to get a grasp of this quickly growing discipline and find themselves taken aback by the language gap between mathematics and the pioneering fields on the matter: computer science and quantum physics. A first version of this paper was originally published at arXiv in October 2018. Minor corrections…

[2025-06-03 Tue (UTC), 3 new articles found for cs.DM Discrete Mathematics]
#toXiv_bot_toot

On the regularization property of Levenberg-Marquardt method with Singular Scaling for nonlinear inverse problems
Rafaela Filippozzi, Everton Boos, Douglas S. Gon\c{c}alves, Fermin S. V. Baz\'an
https://arxiv.org/abs/2506.00190

On the regularization property of Levenberg-Marquardt method with Singular Scaling for nonlinear inverse problems
Recently, in Applied Mathematics and Computation 474 (2024) 128688, a Levenberg-Marquardt method (LMM) with Singular Scaling was analyzed and successfully applied in parameter estimation problems in heat conduction where the use of a particular singular scaling matrix (semi-norm regularizer) provided approximate solutions of better quality than those of the classic LMM. Here we propose a regularization framework for the Levenberg-Marquardt method with Singular Scaling (LMMSS) applied to nonline…

Automatic detection of overshooting tops and their properties from visible satellite channels
Ane\v{z}ka Dole\v{z}alov\'a (Department of Atmospheric Physics, Faculty of Mathematics and Physics, Charles University), Jakub Seidl (Czech Hydrometeorological Institute), Jind\v{r}ich \v{S}\v{t}\'astka (Czech Hydrometeorological Institute), J\'an Ka\v{n}\'ak (Slovak Hydrometeorological Institute)

Automatic detection of overshooting tops and their properties from visible satellite channels
Overshooting tops (OTs) are critical indicators of convective storm intensity and are widely utilized in meteorological analyses. This study presents an automated algorithm for OT detection and OT height estimation using convolutional neural networks applied to visible satellite imagery. The models are trained and validated on an extensive OT dataset comprising approximately 10,000 manually detected cases over Europe. The OTs were identified from high-resolution visible (HRV) channel of the SEV…

[2025-06-03 Tue (UTC), 6 new articles found for math.GM General Mathematics]
#toXiv_bot_toot

This https://arxiv.org/abs/2505.16401 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Divide-Fuse-Conquer: Eliciting "Aha Moments" in Multi-Scenario Games
Large language models (LLMs) have been observed to suddenly exhibit advanced reasoning abilities during reinforcement learning (RL), resembling an ``aha moment'' triggered by simple outcome-based rewards. While RL has proven effective in eliciting such breakthroughs in tasks involving mathematics, coding, and vision, it faces significant challenges in multi-scenario games. The diversity of game rules, interaction modes, and environmental complexities often leads to policies that perform well in…

Evaluation of LLMs for mathematical problem solving
Ruonan Wang, Runxi Wang, Yunwen Shen, Chengfeng Wu, Qinglin Zhou, Rohitash Chandra
https://arxiv.org/abs/2506.00309

Evaluation of LLMs for mathematical problem solving
Large Language Models (LLMs) have shown impressive performance on a range of educational tasks, but are still understudied for their potential to solve mathematical problems. In this study, we compare three prominent LLMs, including GPT-4o, DeepSeek-V3, and Gemini-2.0, on three mathematics datasets of varying complexities (GSM8K, MATH500, and UNSW datasets). We take a five-dimensional approach based on the Structured Chain-of-Thought (SCoT) framework to assess final answer correctness, step com…

The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture
Francesco Barioli, Shaun M. Fallat, Himanshu Gupta, Zhongshan Li
https://arxiv.org/abs/2505.24577

The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture
Since the transformative workshop by the American Institute of Mathematics on the minimum rank of a graph, two longstanding open problems have captivated the community interested in the minimum rank of graphs: the graph complement conjecture and the $δ$-conjecture. In this paper, we use a classical result of Mader (1972) to establish a weak version of the graph complement conjecture for all key minimum rank parameters. In addition, again using the same result of Mader, we present some extremal…

Benchmarking Adelaide
Great Australian Pods Podcast Directory: #GreatAusPods

Benchmarking Adelaide | Great Australian Pods Podcast Directory
Podcast: Benchmarking Adelaide Host: Sam Dighton Category: Society & Culture Sub-Category: Entrepreneurship, Local News & Stories, Mathematics & Data Science First Episode: 2024 We sit down with…

Teaching Mathematics for Economists
Eric Hillebrand
https://arxiv.org/abs/2505.22671 https://arxiv.org/pdf/2505.22671

Teaching Mathematics for Economists
In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra and multivariate calculus to intermediate areas like real and convex analysis and further into advanced topics such as dynamic optimization in both continuous and discrete time. This breadth of coverage corresponds to material usually spread across multiple y…

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry
Peijie Wang, Chao Yang, Zhong-Zhi Li, Fei Yin, Dekang Ran, Mi Tian, Zhilong Ji, Jinfeng Bai, Cheng-Lin Liu
https://arxiv.org/abs/2505.21177

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry
Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane geometry and largely ignore solid geometry, which requires spatial reasoning and is more challenging than plane geometry. To address this critical gap, we introduce SolidGeo, the first large-scale benchmark specifically designed to evaluate the performance of MLLMs …

[2025-06-02 Mon (UTC), 2 new articles found for cs.DM Discrete Mathematics]
#toXiv_bot_toot

I'm in a pickle! I have been giving mathematics tuition to this boy (say X) for 2 years now. His mother introduced herself as X's mother since the beginning. Sometimes, we talk to each other regarding X's studies, and during these conversations I refer to her as "you".
In this situation it's common to call someone like her as "দিদি (elder sister)" or "aunty". But, calling her "aunty" might be inappropriate as this will suggest …

[2025-06-02 Mon (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

This https://arxiv.org/abs/2011.04524 has been replaced.
link: https://scholar.google.com/scholar?q=a

The homology of permutation racks
Despite a blossoming of research activity on racks and their homology for over two decades, with a record of diverse applications to central parts of contemporary mathematics, there are still very few examples of racks whose homology has been fully calculated. In this paper, we compute the entire integral homology of all permutation racks. Our method of choice involves homotopical algebra, which was brought to bear on the homology of racks only recently. For our main result, we establish a spec…

Emergent universal long-range structure in random-organizing systems
Satyam Anand, Guanming Zhang, Stefano Martiniani
https://arxiv.org/abs/2505.22933 http…

Emergent universal long-range structure in random-organizing systems
Self-organization through noisy interactions is ubiquitous across physics, mathematics, and machine learning, yet how long-range structure emerges from local noisy dynamics remains poorly understood. Here, we investigate three paradigmatic random-organizing particle systems drawn from distinct domains: models from soft matter physics (random organization, biased random organization) and machine learning (stochastic gradient descent), each characterized by distinct sources of noise. We discover …

The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups
David A. Craven
https://arxiv.org/abs/2505.22565 https://

The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups
The Ingleton inequality first appeared in matroid theory, where Ingleton proved in 1971 that every rank function coming from a representable matroid on four subsets satisfies a particular inequality. Because this inequality is not implied by submodularity, Shannon-type axioms alone, it and various analogues play a central role in separately linear and non-linear phenomena in a variety of areas of mathematics. The Ingleton inequality for finite groups concerns the various intersections of four s…

Properties of zero-determinant strategies in multichannel games
Masahiko Ueda
https://arxiv.org/abs/2505.21952 https://arxiv.org/pdf/…

Properties of zero-determinant strategies in multichannel games
Controlling payoffs in repeated games is one of the important topics in control theory of multi-agent systems. Recently proposed zero-determinant strategies enable players to unilaterally enforce linear relations between payoffs. Furthermore, based on the mathematics of zero-determinant strategies, regional payoff control, in which payoffs are enforced into some feasible regions, has been discovered in social dilemma situations. More recently, theory of payoff control was extended to multichann…

An Anarchist Approach to the Undergraduate Mathematics Curriculum
Asia Matthews, Vincent Bouchard
https://arxiv.org/abs/2505.18811 https://

An Anarchist Approach to the Undergraduate Mathematics Curriculum
Contemporary anarchism centers around three tenets: (1) a constant challenge of and resistance to all forms of domination, (2) so-called "prefigurative politics", in which all decisions are made in a manner that is consistent with a set of non-hierarchical values such as equality, decentralization and voluntary cooperation, (3) a focus on diversity and open-endedness (Gordon, 2008). Within this philosophy the notion of end goals becomes moot; progress, then, is measured by process, in which the…

This https://arxiv.org/abs/2306.17541 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMS_…

Rigorous Function Calculi in Ariadne
Almost all problems in applied mathematics, including the analysis of dynamical systems, deal with spaces of real-valued functions on Euclidean domains in their formulation and solution. In this paper, we describe the the tool Ariadne, which provides a rigorous calculus for working with Euclidean functions. We first introduce the Ariadne framework, which is based on a clean separation of objects as providing exact, effective, validated and approximate information. We then discuss the function c…

Visualization enhances Problem Solving in Multi-Qubit Systems: An Eye-Tracking Study
Jonas Bley, Eva Rexigel, Alda Arias, Lars Krupp, Nikolas Longen, Paul Lukowicz, Stefan K\"uchemann, Jochen Kuhn, Maximilian Kiefer-Emmanouilidis, Artur Widera
https://arxiv.org/abs/2505.21508

Visualization enhances Problem Solving in Multi-Qubit Systems: An Eye-Tracking Study
Quantum Information Science (QIS) is a vast, diverse, and abstract field. In consequence, learners face many challenges. Science, Technology, Engineering, and Mathematics (STEM) education research has found that visualizations are valuable to aid learners in complex matters. The conditions under which visualizations pose benefits are largely unexplored in QIS education. In this eye-tracking study, we examine the conditions under which the visualization of multi-qubit systems in addition to the …

Can the ai components (NPU) of new processors be used for non-ai work?
What I'm thinking is along the lines that the vector-processing components of GPUs have also been used to speed up non-graphic mathematics on large arrays.
#NPUs #AIProcessor

[2025-05-30 Fri (UTC), 3 new articles found for cs.DM Discrete Mathematics]
#toXiv_bot_toot

Eulers Horizonte -- M\"oglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
Alexander Aycock
https://arxiv.org/abs/2505.23286 https://

Eulers Horizonte -- Möglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
A Thesis about Euler discussing the possibilities and limits of his method of work in Mathematics.

a great idea for #graduation gifts!
🎓 🎓 👩‍🎓 👨‍🎓 🎓 🎓
with @…

This https://arxiv.org/abs/2505.08149 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSC_…

Majorization and Inequalities among Complete Homogenous Symmetric Functions
Inequalities among symmetric functions are fundamental in various branches of mathematics, thus motivating a systematic study of their structure. Majorization has been shown to characterize inequalities among commonly used symmetric functions, except for complete homogeneous symmetric functions (shortened as CHs). In 2011, Cuttler, Greene, and Skandera posed a natural question: Can majorization also characterize inequalities among CHs? Their work demonstrated that majorization characterizes ine…

[2025-05-30 Fri (UTC), 7 new articles found for math.GM General Mathematics]
#toXiv_bot_toot

[2025-05-29 Thu (UTC), no new articles found for cs.DM Discrete Mathematics]
#toXiv_bot_toot

Gleich zu Gast um 16:15 im Sitzungszimmer des Mathematischen Instituts für das #RTG2491Kolloquium:
João Nuno Mestre vom Centre for Mathematics of the University of Coimbra zu
"Multiplicative Geometric objects via tensors"
#UniGöttingen

[2025-05-29 Thu (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

Material did\'actico de L\'ogica Proposicional para Estructuras Discretas
Margarita Carrera Fournier
https://arxiv.org/abs/2505.13459 https://

Material didáctico de Lógica Proposicional para Estructuras Discretas
One of the most difficult topics in the subject of Discrete Mathematics is the subject of Propositional Logic, therefore the present work had as objective to facilitate the learning of Propositional Logic through the implementation of didactic material with the use of educational technology that contributes to the achievement of the objectives established in the syllabus of the subject of Discrete Mathematics, because the knowledge that it provides to Computer Engineers is essential for their p…

[2025-05-28 Wed (UTC), no new articles found for cs.DM Discrete Mathematics]
#toXiv_bot_toot

Introducing Quantum Computing to High-School Curricula: A Global Perspective
Mar\'ia Gragera Garc\'es, Luis G\'omez Orzechowski, Juan Francisco Rodr\'iguez Hern\'andez
https://arxiv.org/abs/2505.14809

Introducing Quantum Computing to High-School Curricula: A Global Perspective
Quantum computing is an emerging field with growing implications across science and industry, making early educational exposure increasingly important. This paper examines how quantum computing concepts can be introduced into high-school STEM curricula within existing structures to enhance foundational learning in mathematics, computer science, and physics. We outline a modular integration strategy introducing key quantum ideas into standard courses, leveraging open-source educational resources…

[2025-05-28 Wed (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

This https://arxiv.org/abs/2403.16634 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMS_…

Symbolic and User-friendly Geometric Algebra Routines (SUGAR) for Computations in Matlab
Geometric algebra (GA) is a mathematical tool for geometric computing, providing a framework that allows a unified and compact approach to geometric relations which in other mathematical systems are typically described using different more complicated elements. This fact has led to an increasing adoption of GA in applied mathematics and engineering problems. However, the scarcity of symbolic implementations of GA and its inherent complexity, requiring a specific mathematical background, make it…

[2025-05-27 Tue (UTC), 1 new article found for math.GM General Mathematics]
#toXiv_bot_toot

MathPartner is a breakthrough technology for natural sciences education, scientic and engineering applications
Gennadi Malaschonok, Roman Sakh
https://arxiv.org/abs/2505.03740

MathPartner is a breakthrough technology for natural sciences education, scientic and engineering applications
The article provides a brief description of the MathPartner service. This freely available cloud-based Mathematics is a universal system for symbolic-numeric calculations. Its Mathpar language is a subset of the LaTeX language, but allows you to create mathematical texts that contain "computable" mathematical operators. This opens up completely new opportunities for improving the educational process for all natural science disciplines, for the use of mathematics in scientific and engineering ca…

[2025-05-26 Mon (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

Elliptic Curves and the Hopf Fibration
Nadir Hajouji, Steve Trettel
https://arxiv.org/abs/2505.09627 https://arxiv.org/pdf/2505.09627…

Elliptic Curves and the Hopf Fibration
By combining tools from different areas of mathematics, we obtain 3D visualizations of elliptic curves over different fields that faithfully capture the underlying algebra and geometry.

[2025-05-23 Fri (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

This https://arxiv.org/abs/2503.22694 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Marinus--Ptolemy and Delisle--Euler conical maps
We examine connections between the mathematics behind methods of drawing geographical maps due, on the one hand to Marinos and Ptolemy (1st-2nd c. CE) and on the other hand to Delisle and Euler (18th century). A recent work by the first two authors of this article shows that methods of Delisle and Euler for drawing geographical maps, which are improvements of methods of Marinus and Ptolemy, are best among a collection of geographical maps we term ``conical''. This is an instance where after pra…

[2025-05-22 Thu (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

[2025-05-21 Wed (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

This https://arxiv.org/abs/2403.18487 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Singularity: a Seventh Memo?
In this paper we explore the relationships between Calvino's memos and Mathematics. In the first part, we discuss how Lightness, Quickness, Exactitude, Visibility, Multiplicity are present in the mathematical language, reasoning and in the work of the mathematician. In addiction, we follow a similar path for the topics of Calvino's lecture of which we only know the title or some notes. In the final part, we explain why `Singularity' could be chosen as a possible topic for Calvino's seventh lect…

[2025-05-20 Tue (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot

[2025-05-19 Mon (UTC), no new articles found for math.GM General Mathematics]
#toXiv_bot_toot