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math/2710_db9c0f2f4b6f960d_2935.txt | In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein's fourdimensional pseudo-Riemannian differentiable manifold in terms of Smarandache Geometry (Smarandache manifolds), by which new classes of relativistic particles and non-quantum te... |
math/353276_5aa5448a9477b0bf_149.txt | Large Language Models (LLMs) generate text by sampling the next token from a probability distribution over the vocabulary at each decoding step. Popular sampling methods like top-p (nucleus sampling) often struggle to balance quality and diversity, especially at higher temperatures which lead to incoherent or repetitiv... |
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math/3645139_b3102e1bfcde5d61_91.txt | Privately operated airports are also included in the category of commercial facilities. They are not, however, places of public accommodation because they are not terminals used for "specified public transportation". (Transportation by aircraft is specifically excluded from the statutory definition of "specified public... |
math/3742825_a5801def072ec91c_459.txt | What is the fate of classical debates in the philosophy of time in light of quantum gravity? This will of course depend greatly on the approach to quantum gravity investigated (for a survey, see Huggett et al. 2013). Consider for instance the dispute between A- and B-theorists over whether time passes, or the one betwe... |
math/338b8b55_8367.txt | In materials science, the four-dimensional stiffness and compliance tensors are often simplified to a two-dimensional matrix using Voigt notation. When applying a rotational transform through angle θ {\displaystyle \theta } in this notation, the rotation matrix is given by T = [ cos 2 θ sin 2 θ 2 sin θ cos θ si... |
math/2825922_4585775c634d3010_46.txt | Two geometric spaces, G and H , are said to be locally isometric at the points G in G and H in H i f the local intrinsic experience at G is the same as the experience at H. That is, there are neighborhoods o f G and H that are identical in terms o f their intrinsic geometric properties. A cylinder and the plane are loc... |
math/3742825_029af0a44731fcc2_638.txt | Deepfakes pose significant societal risks, motivating the development of proactive defenses that embed adversarial perturbations in facial images to prevent manipulation. However, in this paper, we show that these preemptive defenses often lack robustness and reliability. We propose a novel approach, Low-Rank Adaptatio... |
math/3030191_8def6d31c59da930_158.txt | Aaronson’s book is based off his online lecture notes which I hadn’t read before though I’ve read his blog for years. I was really excited when the book was announced, since I hoped for expanded better version of his incredibly interesting paper/monograph “Why Philosophers Should Care About Computational Complexity” (a... |
math/729033_48155ebf7a3ccceb_17400.txt | this survey reveals the dominant feature in the core of the GA to be a large filament extending from Abell S0639 (l= 281 [url=https://www.brevilles.de/][b]breville barista espresso[/b][/url], and also folds completely in half for storage. One battery lasts 60 minutes meaning I could comfortably vacuum my entire flat in... |
math/3742825_a5801def072ec91c_1827.txt | A demonstration (*apodeixis*), for Aristotle, is a deductive argument whose grasp imparts scientific knowledge of its conclusion (*Post. An.* I 2, 71b18–19). Aristotle takes it for granted that we possess a distinctive kind of knowledge by way of deductive reasoning and asks what conditions a deductive argument must sa... |
math/3742825_d4655b6808b69bdd_1626.txt | We study the problem of Safe Policy Improvement (SPI) under constraints in the offline Reinforcement Learning (RL) setting. We consider the scenario where: (i) we have a dataset collected under a known baseline policy, (ii) multiple reward signals are received from the environment inducing as many objectives to optimiz... |
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math/3742825_d4655b6808b69bdd_1709.txt | Unlike standard prediction tasks, survival analysis requires modeling right censored data, which must be treated with care. While deep neural networks excel in traditional supervised learning, it remains unclear how to best utilize these models in survival analysis. A key question asks which data-generating assumptions... |
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math/3742825_b65127240d6c99a2_91.txt | The same fundamental relation remains true in the case of the one-sided black hole as well: given the Hartle-Hawking state representing the exterior region, we can always obtain a purification such that expectation values in the original, thermal state are equivalent to standard correlators in the “fictitious” pure sta... |
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math/3742825_cfa6e6481b8cd2bd_144.txt | \renewcommand\*\labelenumi{[\theenumi]} In this talk we will show how a relationship between certain pairwise balanced designs with $v$ points and periodic Golay pairs of length $v$ can be useful to construct periodic Golay pairs. The talk is based on recent work [1] where we construct pairwise balanced designs with $v... |
math/3742825_a5801def072ec91c_1145.txt | Ideally the confirmed theories of physics explain what we already know, predict what we don’t, and help us understand what we can. There are other important ideals. We would like the theories to increase our ability to manipulate and control nature for our benefit. We expect each theory to be consistent, and we expect ... |
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math/433094_812538e3dac05f16_80.txt | **Time**: February 13, 2013. 3:10 pm, SC 1307 **Speaker**: Roza Aceska, Vanderbilt University **Title**: Gabor frames, Wilson bases and multi-systems **Abstract**: Frames can be seen as generalized bases, that is, over-complete collections, which are used for stable representations of signals as linear combinations of ... |
math/92171_f467e2efefddb294_16.txt | The growing influence of Artificial Intelligence (AI) systems on decision-making in critical domains has exposed their potential to cause significant harms, often rooted in biases embedded across the AI lifecycle. While existing frameworks and taxonomies document bias or harms in isolation, they rarely establish system... |
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math/1633704_d08f849c137f62ee_183.txt | !**ANSWER:** An object of mass *m* a distance *R* from the center of the earth feels a force *F=mΦ* where *Φ=GM/R*2is the gravitational field and *M* is the mass of the earth. But Newton's second law tells us that *F=ma* where *a* is the acceleration of *m*; therefore *a*=*Φ* regardless what *m* is. All this assumes th... |
math/4922055_5a1d19068682d98d_451.txt | Patheos.com — August 23, 2016: [Note: this is the first half of a two-part short story; the second half is on its way.] They were as cosmopolitan a group as you would expect to find on the New York subway. Engrossed in their own worlds, each oneâs attire told something of their profession. The young woman with the ba... |
math/13261_4fe0806401678203_197.txt | Neither § 35.137(d) of the NPRM nor § 35.137(c) of the final rule permits inquiries into the nature of a person’s mobility disability. However, the Department does not believe it is unreasonable or overly intrusive for an individual with a mobility disability seeking to use an other power-driven mobility device to prov... |
math/3009635_5bd29e17514bde18_34.txt | **Review**: This small entertaining book presents a remarkable assortment of probability problems and puzzles that will keep readers stimulated for hours. Monsteller narrates parts of his book with a sense of humor which cre... |
math/107483_db9c0f2f4b6f960d_775.txt | This article is about the origin, development, and benefits of the "SP System" (SPS), which means the "SP Theory of Intelligence" and its realisation in the "SP Computer Model" (SPCM). The SPS is radically different from deep neural networks (DNNs), with many advantages compared with DNNs. As will be described, the SPS... |
math/3636009_287971b0e2e2e18d_267.txt | ``` Nadar Jenita Mary Masilamani Raja and A. Anuradha Topological entropies of single walled carbon nanotubes . . . . . . . . . . . . 809--818 Denis Sh. Sabirov and Alexandra D. Zimina and Alina A. Tukhbatullina Hess' law requires modified mathematical rules for information entropy of interdependent chemical reacti... |
math/3742825_7ea48f6a3337f94e_3.txt | This talk will be an introduction to matroid theory, and an examination of two different methods for characterizing representable matroids. The first method involves excluded-minors. Matroid minors are exact analogues of graph minors: we can remove an element from a matroid by deleting or contracting it, and any matroi... |
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math/3742825_a5801def072ec91c_780.txt | In 1965, Feynman said: “I think it necessary to add to the physical laws the hypothesis that in the past the universe was more ordered, in the technical sense, than it is today” (Feynman 1965, 116). In 2000, the philosopher David Albert suggested we assume that the entropy of the observable universe was minimal all the... |
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math/5bf58a8e_8745.txt | A commutative monoid is atomic if every non-invertible element factors into irreducibles (also called atoms), while an integral (semi)domain is atomic if its multiplicative monoid is atomic. Notions weaker than atomicity have been introduced and studied during the past decade, including almost atomicity and quasi-atomi... |
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math/92171_e03d7f3280b89728_255.txt | * **Abstract**: Studying how people interact with large language models (LLMs) in real-world scenarios is increasingly important due to their widespread use in various applications. In this paper, we introduce RealChat-1M, a large-scale dataset containing one million real-world conversations with 25 state-of-the-art LL... |
math/3030191_a442a1e12e4aece2_30.txt | * Relationships + Couples usually go to therapy when it’s too late. Normally, women try changing for years, but the man doesn’t realise, so the situation doesn’t improve, and the woman gives up. When men do finally realise there is a problem and change is needed, they do try to change, but it’s too late - the woman is ... |
math/2825922_ea43d09e3c6ae6ed_547.txt | river-crossing problem A puzzle in which a variety of objects and living things, some of them mutually incompatible, must be conveyed in small groups from one side of a river to another without any loss along the way. The earliest known examples are in Propositiones ad Acuendos Juvenes (Propositions for sharpening yout... |
math/1475_cf8b9e0971c96393_538.txt | In the 19th century, British algebraist AUGUSTUS DE MORGAN (1806–71) and German mathematicians JULIUS WILHELM RICHARD DEDEKIND (1831–1916) and GEORG CANTOR (1845–1918) realized that this is a common property of infinite sets, and that it is appropriate to use this property as the definition of what it means for a set t... |
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math/25111_e26caa74eb27f4da_259.txt | Building deep reinforcement learning (RL) agents that find a good policy with few samples has proven notoriously challenging. To achieve sample efficiency, recent work has explored updating neural networks with large numbers of gradient steps for every new sample. While such high update-to-data (UTD) ratios have shown ... |
math/1633704_f467e2efefddb294_317.txt | Model predictive control (MPC) is widely used for motion planning, particularly in autonomous driving. Real-time capability of the planner requires utilizing convex approximation of optimal control problems (OCPs) for the planner. However, such approximations confine the solution to a subspace, which might not contain ... |
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math/4358766_311ed2f8cb356f76_93.txt | The author previously reported an experimental result of evolutionary reinforcement learning of neural network controllers. In the previous study, a conventional multilayer perceptron was employed in which connection weights were real numbers. In this study, the author experimentally applies an evolutionary algorithm t... |
math/1125087_2ed2d1df17fe28a3_152.txt | My whole point is to discuss what happens when the orientations are different, and when Bell’s inequalities are violated (Clauser 1972, Aspect et al 1982, loophole-free 2015). Then the previous naive model fails, and one must consider what goes wrong in Bell’s hypotheses, because Bell’s reasoning is logically and mathe... |
math/729033_48155ebf7a3ccceb_17206.txt | SDXL Turbo can generate a 512512 image in just 207ms on an A100 GPU which is a major speed improvement over prior AI diffusion models.. According to this May statistics the growth of economy is running at a rate over 11 percent. Many branches are really booming: construction industry 32% growth [url=https://www.naruto-... |
math/107483_db9c0f2f4b6f960d_927.txt | In this paper, we discuss in brief the most common wave equations in quantum mechanics and some recent development in wave mechanics. We also present two new quantum wave mechanics equations based on the Compton momentum. We also question the idea that energy and mass are scalars, and we claim they are vectors instead.... |
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math/1475_00462713d1d4ddfb_156.txt | * Fixed #2914, dataGrouping approximation wasn't ed properly. * Fixed #5479, added `averages` option for approximation in dataGrouping. * Fixed #6445, function getSelectedPoints did not find points outside of cropThreshold. * Fixed #6537, month buttons were not setting correct extremes when the current month had more d... |
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math/26846_b30627e219d78a11_141.txt | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | | | | | | --- | --- | | **Mandelbrot 1.3** (details) | Prime ENG 132 KB / 15 KB | | ScreenshotA program built to draw the Mandelbrot fractal. The user can either interactively or in-source change what part of the fractal is rendered and in which d... |
math/59738_3d4bcf313d2369cb_41.txt | Having taken classes like RL, DL, HDDA, NLP etc this class was certainly my least favorite and an unfortunate way to end the program. I came into the class really not wanting to believe the bad press it had but now that I'm almost done with the course (with likely an A) I can understand alot of the frustration with the... |
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math/1125087_0f68f7f321a3927f_227.txt | Timely and effective vulnerability patching is essential for cybersecurity defense, for which various approaches have been proposed yet still struggle to generate valid and correct patches for real-world vulnerabilities. In this paper, we leverage the power and merits of pre-trained language language models (LLMs) to e... |
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math/353276_08a4ec7032c800ea_115.txt | We provide a rigorous analysis of implicit regularization in an overparametrized tensor factorization problem beyond the lazy training regime. For matrix factorization problems, this phenomenon has been studied in a number of works. A particular challenge has been to design universal initialization strategies which pro... |
math/4922055_f3c6439e09098ec5_107.txt | As for your hot button question, yeah, that’s a useful reminder of the way that the collective imagination picks and chooses narratives to fill various archetypal slots. Hitler and the Nazis generally have become far more powerful of a presence in the collective thinking of the West than they ever were in their time; t... |
math/107483_db9c0f2f4b6f960d_680.txt | This paper discusses a few main topics in Number Theory, such as the M\"{o}bius function and its generalization, leading up to the derivation of a neat power series for the prime counting function, $\pi(x)$. Among its main findings, we can cite the extremely useful inversion formula for Dirichlet series (given $F\_a(s)... |
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math/e7bd1b5d_149479.txt | EM typically converges to a local optimum, not necessarily the global optimum, with no bound on the convergence rate in general. It is possible that it can be arbitrarily poor in high dimensions and there can be an exponential number of local optima. Hence, a need exists for alternative methods for guaranteed learning,... |
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math/4922055_7ab07cafeba60340_970.txt | II Choosing to kill the innocent as a means to your ends is always murder. Naturally, killing the innocent as an end in itself is murder too; but that is no more than a possible future development for us: in our part of the globe it is a practice that has so far been confined to the Nazis. I intend my formulation to be... |
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math/80a05122_8359.txt | The Lie group of n × n rotation matrices, SO(n), is not simply connected, so Lie theory tells us it is a homomorphic image of a universal covering group. Often the covering group, which in this case is called the spin group denoted by Spin(n), is simpler and more natural to work with. In the case of planar rotations, S... |
math/3742825_779b338e20a5153b_111.txt | **Abstract:** Because of the development of the global transportation system, it is frequently found that the tourists are exposed to infections in the countries where certain infectious diseases are prevalent and the local residents are exposed to infections brought by the tourists from epidemic areas. These frequent ... |
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math/4922055_7ab07cafeba60340_303.txt | 4. The New Riddle of Induction Confirmation of a hypothesis by an instance depends rather heavily upon features of the hypothesis other than its syntactical form. That a given piece of copper conducts electricity increases the credibility of statements asserting that other pieces of copper conduct electricity, and thus... |
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math/2407659_ed120fe322999def_85.txt | the case of flow past a flat plate (Figure 3.8) oriented along the direction of flow (zero angle of incidence). The fluid velocity is zero at the surface of the plate (the no-slip condition) but increases with distance from the plate. At a rather short distance away from the surface, the fluid velocity almost reaches t... |
math/4922055_5a1d19068682d98d_476.txt | It was evening before I returned home; all was still in the forest. I listened more silently than before and then I *heard* it, the sound of the sunset. It resonated in every cell of my body; light vibrating with light. After a few moments it was utterly quiet again; and then a new song sounded; it was the slow sensua... |
math/2825922_fdb7b48aaf6e43d3_1478.txt | there no turning back. The retarded depressed patients were most severely ill and most impaired; the neurotic patients were only impaired on the more difficult tests. The anxious patients' scores were not significantly different from those of either the depressed or control subjects. The relative effects of depression ... |
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math/92171_e26caa74eb27f4da_176.txt | Self-supervision has the potential to transform reinforcement learning (RL), paralleling the breakthroughs it has enabled in other areas of machine learning. While self-supervised learning in other domains aims to find patterns in a fixed dataset, self-supervised goal-conditioned reinforcement learning (GCRL) agents di... |
math/3742825_77f86a884891737a_80.txt | Aggregation effects appear in many applications such as in the study of flocking behaviour of swarms or in the modelling of granula media, which makes it interesting to study this phenomena also in mean-field settings. In 2018, Chen, G\"ottlich and Knapp already showed that the diffusion-aggregation model $$\partial\_t... |
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