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math/735679_ad2a229f4d76f0eb_579.txt
The extraordinary growth of complex open-ended problems facing business, industry, and government, along with the flood of available information and data to address these challenges, may seem overwhelming. It should not! As mathematicians, operations research analysts, and engineers, including those within academia who...
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Philosophers often use the word “God” to mean an absolutely perfect being. ­Anselm’s famous ontological argument is not an argument for the historical accuracy of the Christian scriptures. It is an argument for the existence of a being than which none greater can be thought. A being of this sort would be perfect in all...
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Diffusion Probabilistic Models (DPMs) are generative models showing competitive performance in various domains, including image synthesis and 3D point cloud generation. Sampling from pre-trained DPMs involves multiple neural function evaluations (NFEs) to transform Gaussian noise samples into images, resulting in highe...
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Such a new and distinctive pattern led Guitierrez to suspect the presence of a previously unknown species of lizard. This was particularly likely to happen in Costa Rica. Only seventy-five miles wide at its narrowest point, the country was smaller than the state of Maine. Yet, within its limited space, Costa Rica had a...
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"In the recent years strong evidence has been obtained of the existence of neutrino oscillations, implying that neutrinos are massive and mix. This provides the first evidence of Physics Beyond the Standard Model of Particle Interactions. I will briefly present the status of neutrino physics and in particular the resul...
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In statistics, an expectation–maximization (EM) algorithm is an iterative method for finding maximum likelihood or maximum a posteriori (MAP) estimates of parameters in statistical models, where the model depends on unobserved latent variables. The EM iteration alternates between performing an expectation (E) step, whi...
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One other thing. That neither Boolean algebras or orthomodular algebras are the faithful models for their respective logics was shown by Pavicic and Megill in 1999. People who give credence to claims made by the study of symbolic logicians are simply denying this result. Because the faithful models involve a mapping in...
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Note that the minimization in (3.3.3) is over all conditional distributions p​(𝒙^∣𝒙)p(\hat{\bm{x}}\mid\bm{x})italic\_p ( over^ start\_ARG bold\_italic\_x end\_ARG ∣ bold\_italic\_x ) that satisfy the distortion constraint 𝔼𝒙,𝒙^⁡[‖𝒙−𝒙^‖22]≤ϵ2\operatorname{\mathbb{E}}\_{\bm{x},\hat{\bm{x}}}[\|\bm{x}-\hat{\bm{x}}\|...
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Humans perceive the world by concurrently processing and fusing high-dimensional inputs from multiple modalities such as vision and audio. Machine perception models, in stark contrast, are typically modality-specific and optimised for unimodal benchmarks. A common approach for building multimodal models is to simply co...
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We study the problem of online multiclass classification in a setting where the learner's feedback is determined by an arbitrary directed graph. While including bandit feedback as a special case, feedback graphs allow a much richer set of applications, including filtering and label efficient classification. We introduc...
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Modeling with Node Degree Preservation Can Accurately Find Communities Di Jin, Zheng Chen, Dongxiao He, Weixiong Zhang PDF
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Cascades and speculative decoding are two common approaches to improving language models' inference efficiency. Both approaches interleave two models, but via fundamentally distinct mechanisms: deferral rule that invokes the larger model only for “hard” inputs, while speculative decoding uses speculative execution to p...
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09:50 Construction of Polar Codes with Sublinear Complexity Marco Mondelli (Stanford University, USA); Hamed Hassani (University of Pennsylvania, USA); Ruediger L Urbanke (EPFL, Switzerland) Consider the problem of constructing a polar code of block length N for the transmission over a given channel $W$. Typically this...
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Traditionally introduced in terms of advanced topological constructions, many link invariants may also be defined in much simpler terms given their values on a few initial links and a recursive formula on a skein triangle. Then the crucial question to ask is how many initial values are necessary to completely determine...
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Probability theory is the branch of mathematics that deals with chance and uncertainty. It forms an important part of the foundation for statistics, because it provides us with the mathematical tools to describe uncertain events. The study of probability arose in part due to interest in understanding games of chance, l...
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In practice, an algebraic difference equation (of *N* variables) is given by a set *Σ* of polynomials in the variables {*x**i*, *j* : 1 ≤ *i* ≤ *N*, *j* ∈ ℕ} and one looks for sequences of *N*-tuples of numbers ((*a*1, *j*)*j* = 0∞, …, (*a**N*, *j*)*j* = 0∞) as solutions...
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As shown in Figure 10.13, the values of Agescaled = 0.3125 and Odomscaled = 0.2225 are the values for the input layer. Given the values of the input features, the output values of the neurons in the next layer can be computed for a specified activation function. A common activation function in the hidden layers of a ne...
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We propose a deep reinforcement learning (RL) method to learn large neighborhood search (LNS) policy for integer programming (IP). The RL policy is trained as the destroy operator to select a subset of variables at each step, which is reoptimized by an IP solver as the repair operator. However, the combinatorial number...
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In the second part, I will talk about hydrodynamics of bacteria near walls in visco-elastic fluids. Flagellar motility next to surfaces in such fluids is crucial for bacterial transport and biofilm formation. In Newtonian fluids, bacteria are known to accumulate near walls where they swim in circles [3,4], while experi...
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Quite a few plants for dehydration of solvents and organics [for example, /so -propanol, ethyl acetate, ethers (tetrahydrofuran, dimethyl ether of ethylene glycol, etc.) and ketones] based on the GFT technology are in operation. These plants also use PVA membrane. On the other hand, a hydrophobic membrane prepared from...
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**Operations and Algebraic Thinking 3.OA.A.1** Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5×7. **3.OA.A.2** Interpret whole-number quotients of whole numbe...
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a series of compounds that model the structural features of Viton elastomers were synthesised by reaction of perfluoroalkyl iodides with vinylidene fluoride and subsequent capping with antimony pentafluoride. These Viton model compounds were subsequently reacted with a range of bases and nucleophiles and the products c...
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a given point not on the line, known as the focus. The Cartesian equation of a parabola that opens upward and has its vertex (turning point) at the origin is y = 4ax2, where a is the distance from the vertex to the focus, and the quantity 4a is known as the latus rectum. More generally, any quadratic equation of the fo...
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In this section we recall concepts that we will need for our construction, and fix notation. First we have the compact-open topology on continuous maps, which leads to a product-hom adjunction in the category of topological spaces in Sect. 2.2. We then have magmoids, and groupoids defined in terms of magmoids in Sect. ...
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Aristotle think matters? His view is that to know what it would be for a person’s life to go well, we must ask what it would take for a person to be functioning well. According to Aristotle, a person functions well if the parts of his soul that employ reason function well. This in turn requires that a person be virtuou...
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JA geometric figure is said to be symmetrical if it remains un¬ changed after a “symmetry operation” has been performed on it. The larger the number of such operations, the richer the symmetry. For ex¬ ample, the capital letter A is unchanged when reflected in a mirror placed vertically beside it. It is said to have ve...
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Bolyai and Lobachevsky showed that all but the fifth of EUCLID’S POSTULATES hold in the hyperbolic geometry and, moreover, that this model of geometry is consistent (that is, free of CONTRADICTIONs). This establishes that the parallel postulate cannot be logically deduced as a consequence of the remaining axioms propos...
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How to implement such a distinction? Dummett classifies expressions in two main groups, namely, that of predicates, relational expressions, and logical constants, on the one hand, and that of singular terms and functional expressions, on the other. To specify the meaning of predicates, relational expressions, and logic...
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This paper defines and implements a non-Bayesian fusion rule for combining densities of probabilities estimated by local (non-linear) filters for tracking a moving target by passive sensors. This rule is the restriction to a strict probabilistic paradigm of the recent and efficient Proportional Conflict Redistribution ...
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Click the External Data tab in the Ribbon Click the New Data Source button , select From File, then click the Excel icon (Figure B.14) When the Get External Data—Excel Spreadsheet dialog box appears (Figure B.15), click the Browse… button Navigate to the location of the Excel file to be imported into Access (in this ca...
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Understanding mechanisms for generating random graph models with properties of real networks is an important topic in complex networks. Although there is a large literature on random graph models with a power-law degree distribution, a positive clustering coefficient or with a giant component, much work remains to be d...
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We propose a general quantum Hamiltonian formalism of a renormalization group (RG) flow with an emphasis on generalized symmetry by interpreting the elementary relationship between homomorphism, quotient ring, and projection. In our formalism, the noninvertible nature of the ideal of a fusion ring realizing the general...
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The Fitting Fulfillment View Defended I earlier argued that the suggestion that a life is meaningful insofar as it contributes to something larger than itself is most charitably understood if we take it not as an isolated objective criterion but rather as a criterion that functions in tandem with an ­expectation about ...
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Large-scale screenings of cancer cell lines with detailed molecular profiles against libraries of pharmacological compounds are currently being performed in order to gain a better understanding of the genetic component of drug response and to enhance our ability to recommend therapies given a patient's molecular profil...
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In the event that the construction of the radical axis fails due to there not being an intersection point X between parallel lines j and k, which results from the coincidental placement of the midpoint M on the line AC, an alternative approach might be required. One such approach is to choose a different point M' on th...
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Particles on a plate form Chladni patterns when the plate is acoustically excited. To better understand these patterns and their possible real-world applications, I present a new analytical and numerical study of the transition between standard and inverse Chladni patterns on an adhesive surface at any magnitude of acc...
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The universal test does define an effective measure one property, but (unlike normality, or having no biased admissible subsequences), it is far from a naturally graspable property. Nevertheless, Martin-Löf’s result does establish that there are random sequences that satisfy all the properties of stochasticity, and tha...
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Abstract: Principal component pursuit (PCP) is a state-of-the-art approach for background estimation problems. Due to their higher computational cost, PCP algorithms, such as robust principal component analysis (RPCA) and its variants, are not feasible in processing high definition videos. To avoid the curse of dimensi...
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In their article (Cliff et al., J. Sens. Stud., 2011, 26, 184-196), the authors plot the log mean aroma threshold concentrations for three sulfur aroma compound analytes on the y-axis against the qualitative descriptors of the wine (i.e., "model," "neutral," and "fruity") on the x-axis, and proceed to fit three log-lin...
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Back to top * #6 — A Game Theory Path to Quantitative Literacy **David Housman**, Goshen College Part 1, Thursday, August 2, 3:30 p.m. – 5:30 p.m. Part 2, Saturday, August 4, 1:00 p.m. – 3:00 p.m. Game theory, defined in the broadest sense, can be used to model many real-world scenarios of decision making in situations...
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are mutually suggestive. Mnemonic devices were much cultivated by Greek sophists and philosophersand are repeatedly referred to by Plato and Aristotle. In later times the invention was ascribed to the poet Simonides, perhaps for no other reason than that the strength of his memory was famous. Cicero, who attaches consi...
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capacity to blunder slightly is the real marvel of DNA. Without this special attribute, we would still be anaerobic bacteria and there would be no music.” Bang, bang, bang, boom! I was hoping to achieve a similar effect, in muted form, in this opening to a piece about differential geometry: The most familiar ideas of g...
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The radiosity method was originally introduced in the 1950s as a method for computing radiant heat exchanges between surfaces. In 1984, Goral et al. proposed the application of this method to the simulation of light transfer between surfaces. This method considers that most surfaces in a real environment are diffuse r...
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.… In these mind-bending realms, Gribbin's seasoned skills wonderfully simplify matters (and forces) without ‘dumbifying’ them.” —Gilbert Taylor, Booklist BY THE SAME AUTHOR In Search of the Edge of Time Hothouse Earth Being Human In Search of the Big Bang In Search of Schrödinger's Cat The Hole in the Sky Stephen Hawk...
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geometry and temporal evolution of spectacular kilometre amplitude fold structures actively forming in Cenozoic sediments on the uplifted western margin of the South Caspian Basin are described and strain accommodation mechanisms established using 3D Move to unfold the Yasamal structure enabled a reconstruction of pre ...
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The brain's ability to transform sensory inputs into motor functions is central to neuroscience and crucial for the development of embodied intelligence. Sensory-motor integration involves complex neural circuits, diverse neuronal types, and intricate intercellular connections. Bridging the gap between biological reali...
math/13261_4fe0806401678203_762.txt
In the NPRM, the Department asked commenters about the relationship between the content covered by the archived web content exception and the exception for preexisting conventional electronic documents set forth in § 35.201(b). 135 In response, some commenters sought clarification about the connection between the excep...
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Case I Suppose that Smith and Jones have applied for a certain job. And suppose that Smith has strong evidence for the following conjunctive6 proposition: d. Jones is the man who will get the job, and Jones has ten coins in his pocket. Smith’s evidence for (d) might be that the president of the company assured him that...
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Upon starting a robotic task in a new environment, a map of which is not available a priori, it is necessary to estimate the 3D structure of the surroundings as well as the position of the robot with respect to it. This serves as an initial assessment of the map that will be iteratively updated based on the sensory mea...