Tootfinder

Princess Meownonoke
🎨by Yagyou

Isoperimetric Problem and Weierstrass Necessary Condition for Fractional Calculus of Variations
Shakir Sh. Yusubov, Shikhi Sh. Yusubov, Elimhan N. Mahmudov
https://arxiv.org/abs/2506.12926

Isoperimetric Problem and Weierstrass Necessary Condition for Fractional Calculus of Variations
Summary]{In this paper, we study problems of minimization of a functional depending on the fractional Caputo derivative of order $0<α\leq 1$ and the fractional Riemann- Liouville integral of order $β> 0$ at fixed endpoints. A fractional analogue of the Du Bois-Reymond lemma is proved, and the Euler-Lagrange conditions are proved for the simplest problem of fractional variational calculus with fixed ends and for the fractional isoperimetric problem. An approach is proposed to obtain the necess…

Maximally-Informative Retrieval for State Space Model Generation
Evan Becker, Benjamin Bowman, Matthew Trager, Tian Yu Liu, Luca Zancato, Wei Xia, Stefano Soatto
https://arxiv.org/abs/2506.12149

Maximally-Informative Retrieval for State Space Model Generation
Given a query and dataset, the optimal way of answering the query is to make use all the information available. Modern LLMs exhibit impressive ability to memorize training data, but data not deemed important during training is forgotten, and information outside that training set cannot be made use of. Processing an entire dataset at inference time is infeasible due to the bounded nature of model resources (e.g. context size in transformers or states in state space models), meaning we must resor…

Experimental Design for Semiparametric Bandits
Seok-Jin Kim, Gi-Soo Kim, Min-hwan Oh
https://arxiv.org/abs/2506.13390 https://arxiv.o…

Experimental Design for Semiparametric Bandits
We study finite-armed semiparametric bandits, where each arm's reward combines a linear component with an unknown, potentially adversarial shift. This model strictly generalizes classical linear bandits and reflects complexities common in practice. We propose the first experimental-design approach that simultaneously offers a sharp regret bound, a PAC bound, and a best-arm identification guarantee. Our method attains the minimax regret $\tilde{O}(\sqrt{dT})$, matching the known lower bound for …

An LLM's Apology: Outsourcing Awkwardness in the Age of AI
Twm Stone, Anna Soligo
https://arxiv.org/abs/2506.13685 https://arxiv.…

An LLM's Apology: Outsourcing Awkwardness in the Age of AI
A key part of modern social dynamics is flaking at short notice. However, anxiety in coming up with believable and socially acceptable reasons to do so can instead lead to 'ghosting', awkwardness, or implausible excuses, risking emotional harm and resentment in the other party. The ability to delegate this task to a Large Language Model (LLM) could substantially reduce friction and enhance the flexibility of user's social life while greatly minimising the aforementioned creative burden and mora…

"Colombia cuts deforestation by one-third as government targets Amazon and illegal mining"
#Colombia #Trees #Deforestation

Colombia cuts deforestation by one-third as government targets Amazon and illegal mining
Colombia’s environment ministry reported a 33% drop in deforestation during the first quarter of 2025, citing coordinated enforcement efforts and strengthened partnerships with local communities.Steven Grattan reports for The Associated Press.In short:Colombia’s deforestation fell from 40,219 hectar...

Why forests aren't coming back after gold mining in the Amazon #Amazon

Why forests aren't coming back after gold mining in the Amazon
Forests in the Peruvian Amazon aren't growing back after gold mining—not just because the soil is damaged by toxic metals, but because the land has been depleted of its water. A common mining method known as suction mining reshapes the terrain in ways that drain moisture and trap heat, creating harsh conditions where even replanted seedlings can't survive.

The Freight Multimodal Transport Problem with Buses and Drones: An Integrated Approach for Last-Mile Delivery
E Su, Hu Qin, Jiliu Li, Rui Zhang
https://arxiv.org/abs/2506.10311

The Freight Multimodal Transport Problem with Buses and Drones: An Integrated Approach for Last-Mile Delivery
This paper proposes a novel freight multimodal transport problem with buses and drones, where buses are responsible for transporting parcels to lockers at bus stops for storage, while drones are used to deliver each parcel from the locker to the corresponding customer. The integrated bus-drone system synergistically expands drone service coverage using the bus network to ensure efficient final delivery. Minimizing the total operational costs while satisfying customer demands necessitates the jo…

The text I have conveys the •meaning• of the diagram, and it’s better than nothing:
❝Three different trees showing possible interpretations of 1000 - 100 - 10 - 1. In the first tree, subtraction happens from left to right. In the second tree, it happens from right to left. In the third tree, we first compute 1000 minus 100, then 10 minus 1, then subtract those two results.❞
That’s probably the best I can do in the current format. But if there were a way to make convey more of the spatial sense, I’d do it!

from my link log —
Surety: The world’s oldest blockchain has been hiding in the New York Times since 1995.
https://www.vice.com/en/article/j5nzx4/what-was-the-first-blockchain
saved 2023-10-05

The World’s Oldest Blockchain Has Been Hiding in the New York Times Since 1995
This really gives a new meaning to the “paper of record."