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Borderplex Business Barometer, Volume 8, Number 4, Thomas M. Fullerton Jr., Steven L. Fullerton, Zifeng Feng Apr 2024

Borderplex Business Barometer, Volume 8, Number 4, Thomas M. Fullerton Jr., Steven L. Fullerton, Zifeng Feng

Border Region Modeling Project

No abstract provided.


How Difficult Is It To Comprehend A Program That Has Significant Repetitions: Fuzzy-Related Explanations Of Empirical Results, Christian Servin, Olga Kosheleva, Vladik Kreinovich Apr 2024

How Difficult Is It To Comprehend A Program That Has Significant Repetitions: Fuzzy-Related Explanations Of Empirical Results, Christian Servin, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In teaching computing and in gauging the programmers' productivity, it is important to property estimate how much time it will take to comprehend a program. There are techniques for estimating this time, but these techniques do not take into account that some program segments are similar, and this similarity decreases the time needed to comprehend the second segment. Recently, experiments were performed to describe this decrease. These experiments found an empirical formula for the corresponding decrease. In this paper, we use fuzzy-related ideas to provide commonsense-based theoretical explanation for this empirical formula.


Mcfadden's Discrete Choice And Softmax Under Interval (And Other) Uncertainty: Revisited, Bartlomiej Jacek Kubica, Olga Kosheleva, Vladik Kreinovich Apr 2024

Mcfadden's Discrete Choice And Softmax Under Interval (And Other) Uncertainty: Revisited, Bartlomiej Jacek Kubica, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Studies of how people actually make decisions have led to an empirical formula that predicts the probability of different decisions based on the utilities of different alternatives. This formula is known as McFadden's formula, after a Nobel prize winning economist who discovered it. A similar formula -- known as softmax -- describes the probability that the classification predicted by a deep neural network is correct, based on the neural network's degrees of confidence in the object belonging to each class. In practice, we usually do not know the exact values of the utilities -- or of the degrees of confidence. …


Why Bernstein Polynomials: Yet Another Explanation, Olga Kosheleva, Vladik Kreinovich Apr 2024

Why Bernstein Polynomials: Yet Another Explanation, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In many computational situations -- in particular, in computations under interval or fuzzy uncertainty -- it is convenient to approximate a function by a polynomial. Usually, a polynomial is represented by coefficients at its monomials. However, in many cases, it turns out more efficient to represent a general polynomial by using a different basis -- of so-called Bernstein polynomials. In this paper, we provide a new explanation for the computational efficiency of this basis.


Somewhat Surprisingly, (Subjective) Fuzzy Technique Can Help To Better Combine Measurement Results And Expert Estimates Into A Model With Guaranteed Accuracy: Digital Twins And Beyond, Niklas Winnewisser, Michael Beer, Olga Kosheleva, Vladik Kreinovich Apr 2024

Somewhat Surprisingly, (Subjective) Fuzzy Technique Can Help To Better Combine Measurement Results And Expert Estimates Into A Model With Guaranteed Accuracy: Digital Twins And Beyond, Niklas Winnewisser, Michael Beer, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

To understand how different factors and different control strategies will affect a system -- be it a plant, an airplane, etc. -- it is desirable to form an accurate digital model of this system. Such models are known as digital twins. To make a digital twin as accurate as possible, it is desirable to incorporate all available knowledge of the system into this model. In many cases, a significant part of this knowledge comes in terms of expert statements, statements that are often formulated by using imprecise ("fuzzy") words from natural language such as "small", "very possible", etc. To translate …


How To Gauge Inequality And Fairness: A Complete Description Of All Decomposable Versions Of Theil Index, Saeid Tizpaz-Niari, Olga Kosheleva, Vladik Kreinovich Apr 2024

How To Gauge Inequality And Fairness: A Complete Description Of All Decomposable Versions Of Theil Index, Saeid Tizpaz-Niari, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In general, in statistics, the most widely used way to describe the difference between different elements of a sample if by using standard deviation. This characteristic has a nice property of being decomposable: e.g., to compute the mean and standard deviation of the income overall the whole US, it is sufficient to compute the number of people, mean, and standard deviation over each state; this state-by-state information is sufficient to uniquely reconstruct the overall standard deviation. However, e.g., for gauging income inequality, standard deviation is not very adequate: it provides too much weight to outliers like billionaires, and thus, does …


Update From Aristotle To Newton, From Sets To Fuzzy Sets, And From Sigmoid To Relu: What Do All These Transitions Have In Common?, Christian Servin, Olga Kosheleva, Vladik Kreinovich Apr 2024

Update From Aristotle To Newton, From Sets To Fuzzy Sets, And From Sigmoid To Relu: What Do All These Transitions Have In Common?, Christian Servin, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In this paper, we show that there is a -- somewhat unexpected -- common trend behind several seemingly unrelated historic transitions: from Aristotelian physics to modern (Newton's) approach, from crisp sets (such as intervals) to fuzzy sets, and from traditional neural networks, with close-to-step-function sigmoid activation functions to modern successful deep neural networks that use a completely different ReLU activation function. In all these cases, the main idea of the corresponding transition can be explained, in mathematical terms, as going from the first order to second order differential equations.


How To Make A Decision Under Interval Uncertainty If We Do Not Know The Utility Function, Jeffrey Escamilla, Vladik Kreinovich Apr 2024

How To Make A Decision Under Interval Uncertainty If We Do Not Know The Utility Function, Jeffrey Escamilla, Vladik Kreinovich

Departmental Technical Reports (CS)

Decision theory describes how to make decisions, in particular, how to make decisions under interval uncertainty. However, this theory's recommendations assume that we know the utility function -- a function that describes the decision maker's preferences. Sometimes, we can make a recommendation even when we do not know the utility function. In this paper, we provide a complete description of all such cases.


Paradox Of Causality And Paradoxes Of Set Theory, Alondra Baquier, Bradley Beltran, Gabriel Miki-Silva, Olga Kosheleva, Vladik Kreinovich Apr 2024

Paradox Of Causality And Paradoxes Of Set Theory, Alondra Baquier, Bradley Beltran, Gabriel Miki-Silva, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Logical paradoxes show that human reasoning is not always fully captured by the traditional 2-valued logic, that this logic's extensions -- such as multi-valued logics -- are needed. Because of this, the study of paradoxes is important for research on multi-valued logics. In this paper, we focus on paradoxes of set theory. Specifically, we show their analogy with the known paradox of causality, and we use this analogy to come up with similar set-theoretic paradoxes.


Number Representation With Varying Number Of Bits, Anuradha Choudhury, Md Ahsanul Haque, Saeefa Rubaiyet Nowmi, Ahmed Ann Noor Ryen, Sabrina Saika, Vladik Kreinovich Apr 2024

Number Representation With Varying Number Of Bits, Anuradha Choudhury, Md Ahsanul Haque, Saeefa Rubaiyet Nowmi, Ahmed Ann Noor Ryen, Sabrina Saika, Vladik Kreinovich

Departmental Technical Reports (CS)

In a computer, usually, all real numbers are stored by using the same number of bits: usually, 8 bytes, i.e., 64 bits. This amount of bits enables us to represent numbers with high accuracy -- up to 19 decimal digits. However, in most cases -- whether we process measurement results or whether we process expert-generated membership degrees -- we do not need that accuracy, so most bits are wasted. To save space, it is therefore reasonable to consider representations with varying number of bits. This would save space used for representing numbers themselves, but we would also need to store …


Data Fusion Is More Complex Than Data Processing: A Proof, Robert Alvarez, Salvador Ruiz, Martine Ceberio, Vladik Kreinovich Apr 2024

Data Fusion Is More Complex Than Data Processing: A Proof, Robert Alvarez, Salvador Ruiz, Martine Ceberio, Vladik Kreinovich

Departmental Technical Reports (CS)

Empirical data shows that, in general, data fusion takes more computation time than data processing. In this paper, we provide a proof that data fusion is indeed more complex than data processing.


How To Fairly Allocate Safety Benefits Of Self-Driving Cars, Fernando Munoz, Christian Servin, Vladik Kreinovich Apr 2024

How To Fairly Allocate Safety Benefits Of Self-Driving Cars, Fernando Munoz, Christian Servin, Vladik Kreinovich

Departmental Technical Reports (CS)

In this paper, we describe how to fairly allocated safety benefits of self-driving cars between drivers and pedestrians -- so as to minimize the overall harm.


Using Known Relation Between Quantities To Make Measurements More Accurate And More Reliable, Niklas Winnewisser, Felix Mett, Michael Beer, Olga Kosheleva, Vladik Kreinovich Apr 2024

Using Known Relation Between Quantities To Make Measurements More Accurate And More Reliable, Niklas Winnewisser, Felix Mett, Michael Beer, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Most of our knowledge comes, ultimately, from measurements and from processing measurement results. In this, metrology is very valuable: it teaches us how to gauge the accuracy of the measurement results and of the results of data processing, and how to calibrate the measuring instruments so as to reach the maximum accuracy. However, traditional metrology mostly concentrates on individual measurements. In practice, often, there are also relations between the current values of different quantities. For example, there is usually an known upper bound on the difference between the values of the same quantity at close moments of time or at …


Why Pavement Cracks Are Mostly Longitudinal, Sometimes Transversal, And Rarely Of Other Directions: A Geometric Explanation, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, Vladik Kreinovich Mar 2024

Why Pavement Cracks Are Mostly Longitudinal, Sometimes Transversal, And Rarely Of Other Directions: A Geometric Explanation, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In time, pavements deteriorate, and need maintenance. One of the most typical pavement faults are cracks. Empirically, the most frequent cracks are longitudinal, i.e., following the direction of the road; less frequent are transversal cracks, which are orthogonal to the direction of the road. Sometimes, there are cracks in different directions, but such cracks are much rarer. In this paper, we show that simple geometric analysis and fundamental physical ideas can explain these observed relative frequencies.


Why Linear And Sigmoid Last Layers Work Better In Classification, Lehel Dénes-Fazakas, Lásló Szilágyi, Vladik Kreinovich Mar 2024

Why Linear And Sigmoid Last Layers Work Better In Classification, Lehel Dénes-Fazakas, Lásló Szilágyi, Vladik Kreinovich

Departmental Technical Reports (CS)

Usually, when a deep neural network is used to classify objects, its last layer computes the softmax. Our empirical results show we can improve the classification results if instead, we have linear or sigmoid last layer. In this paper, we provide an explanation for this empirical phenomenon.


Guide To Ms555 Joseph Friedkin Papers, Susannah Holliday Mar 2024

Guide To Ms555 Joseph Friedkin Papers, Susannah Holliday

Finding Aids

Joseph Friedkin was a graduate of the Texas School of Mines (now UTEP). He worked as a Civil Engineer with the International Boundary and Water Commission (IBWC) for his entire professional career (with the exception of his time serving in the military during WWII). Friedkin was appointed commissioner of the IBWC in 1962 by President Kennedy and appointed to the position of Ambassador by President Johnson following Chamizal negotiations. Friedkin was instrumental in coordinating the resolution of the “Chamizal Issue” and led the IBWC through several other water resource concerns. Friedkin retired in 1986 and passed away in 2008.


Borderplex Business Barometer, Volume 8, Number 3, Thomas M. Fullerton Jr., Steven L. Fullerton Mar 2024

Borderplex Business Barometer, Volume 8, Number 3, Thomas M. Fullerton Jr., Steven L. Fullerton

Border Region Modeling Project

No abstract provided.


Why Two Fish Follow Each Other But Three Fish Form A School: A Symmetry-Based Explanation, Shahnaz Shahbazova, Olga Kosheleva, Vladik Kreinovich Mar 2024

Why Two Fish Follow Each Other But Three Fish Form A School: A Symmetry-Based Explanation, Shahnaz Shahbazova, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Recent experiments with fish has shown an unexpected strange behavior: when two fish of the same species are placed in an aquarium, they start following each other, while when three fish are placed there, they form (approximately) an equilateral triangle, and move in the direction (approximately) orthogonal to this triangle. In this paper, we use natural symmetries -- such as rotations, shifts, and permutation of fish -- to show that this observed behavior is actually optimal. This behavior is not just optimal with respect to one specific optimality criterion, it is optimal with respect to any optimality criterion -- as …


Auditory Free Classification Of Gender Diverse Speakers, Brandon Merritt, Tessa Bent, Rowan Kilgore, Cameron Eads Feb 2024

Auditory Free Classification Of Gender Diverse Speakers, Brandon Merritt, Tessa Bent, Rowan Kilgore, Cameron Eads

Departmental Papers (Speech)

Auditory attribution of speaker gender has historically been assumed to operate within a binary framework. The prevalence of gender diversity and its associated sociophonetic variability motivates an examination of how listeners perceptually represent these diverse voices. Utterances from 30 transgender (1 agender individual, 15 non-binary individuals, 7 transgender men, and 7 transgender women) and 30 cisgender (15 men and 15 women) speakers were used in an auditory free classification paradigm, in which cisgender listeners classified the speakers on perceived general similarity and gender identity. Multidimensional scaling of listeners’ classifications revealed twodimensional solutions as the best fit for general similarity classifications. …


Fuzzy Ideas Explain Fechner Law And Help Detect Relation Between Objects In Video, Olga Kosheleva, Vladik Kreinovich, Ahnaf Farhan Feb 2024

Fuzzy Ideas Explain Fechner Law And Help Detect Relation Between Objects In Video, Olga Kosheleva, Vladik Kreinovich, Ahnaf Farhan

Departmental Technical Reports (CS)

How to find relation between objects in a video? If two objects are closely related -- e.g., a computer and it mouse -- then they almost always appear together, and thus, their numbers of occurrences are close. However, simply computing the differences between numbers of occurrences is not a good idea: objects with 100 and 110 occurrences are most probably related, but objects with 1 and 5 occurrences probably not, although 5 − 1 is smaller than 110 − 100. A natural idea is, instead, to compute the difference between re-scaled numbers of occurrences, for an appropriate nonlinear re-scaling. In …


There Is Still Plenty Of Room At The Bottom: Feynman's Vision Of Quantum Computing 65 Years Later, Alexis Lupo, Vladik Kreinovich, Victor L. Timchenko, Yuriy P. Kondratenko Feb 2024

There Is Still Plenty Of Room At The Bottom: Feynman's Vision Of Quantum Computing 65 Years Later, Alexis Lupo, Vladik Kreinovich, Victor L. Timchenko, Yuriy P. Kondratenko

Departmental Technical Reports (CS)

In 1959, Nobelist Richard Feynman gave a talk titled "There's plenty of room at the bottom", in which he emphasized that, to drastically speed up computations, we need to make computer components much smaller -- all the way to the size of molecules, atoms, and even elementary particles. At this level, physics is no longer described by deterministic Newton's mechanics, it is described by probabilistic quantum laws. Because of this, computer designers started thinking how to design a reliable computer based on non-deterministic elements -- and this thinking eventually led to the modern ideas and algorithms of quantum computing. So, …


From Quantifying And Propagating Uncertainty To Quantifying And Propagating Both Uncertainty And Reliability: Practice-Motivated Approach To Measurement Planning And Data Processing, Niklas R. Winnewisser, Vladik Kreinovich, Olga Kosheleva Feb 2024

From Quantifying And Propagating Uncertainty To Quantifying And Propagating Both Uncertainty And Reliability: Practice-Motivated Approach To Measurement Planning And Data Processing, Niklas R. Winnewisser, Vladik Kreinovich, Olga Kosheleva

Departmental Technical Reports (CS)

When we process data, it is important to take into account that data comes with uncertainty. There exist techniques for quantifying uncertainty and propagating this uncertainty through the data processing algorithms. However, most of these techniques do not take into account that in real world, measuring instruments are not 100% reliable -- they sometimes malfunction and produce values which are far off from the measured values of the corresponding quantities. How can we take into account both uncertainty and reliability? In this paper, we consider several possible scenarios, and we show, for each scenario, what is the natural way to …


Guide To Ms708 Mary Carmen Saucedo Papers, Susannah Holliday Feb 2024

Guide To Ms708 Mary Carmen Saucedo Papers, Susannah Holliday

Finding Aids

Mary Carmen Saucedo taught in the El Paso Catholic Schools and El Paso Independent School District before promotions to Assistant Principle, Principle, Consultant, Director of Personnel and finally Associate Superintendent of the El Paso Independent School District. She was the first woman to hold the position of Associate Superintendent. She was also active in the leadership of several professional organizations and was appointed as Chairman of the Board to the El Paso Community Foundation, the Federal Reserve Bank of Dallas, and the West Texas Council of Governments.


Borderplex Business Barometer, Volume 8, Number 2, Thomas M. Fullerton Jr., Steven L. Fullerton Feb 2024

Borderplex Business Barometer, Volume 8, Number 2, Thomas M. Fullerton Jr., Steven L. Fullerton

Border Region Modeling Project

No abstract provided.


How Technology Affordances Of Sharing Economy Platforms Influence Cultural Distance And The Affective Commitment Of Immigrants At The Base Of The Pyramid, Jie Yan Jan 2024

How Technology Affordances Of Sharing Economy Platforms Influence Cultural Distance And The Affective Commitment Of Immigrants At The Base Of The Pyramid, Jie Yan

Hunt Institute Working Paper Series

Within the immigrant population, there is a sub-group at the Base of the Pyramid (BoP). Compared to others, BoP immigrants receive lower incomes, have weaker informal networks, and face greater resource constraints. As more and more BoP immigrants participate in the sharing economy, we suggest that the use of sharing economy platforms by BoP immigrants would have a significant impact on their integration into a new country because it would influence cultural distance and affective commitment in multiple ways. Hence, in the present study, we seek to explore the relationships among the technology affordance of sharing economy platforms, the cultural …


Warmth Of The Welcome: Immigration And Local Housing Returns, Xun Bian, N. Edward Coulson, Xiaojin Sun Jan 2024

Warmth Of The Welcome: Immigration And Local Housing Returns, Xun Bian, N. Edward Coulson, Xiaojin Sun

Hunt Institute Working Paper Series

We study the effect of immigration on home values in the U.S. Applying a county-level instrument for immigration, we find that immigration increases local house price appreciation and decreases its within-county spatial dispersion. Our estimates suggest that, on average, a one percentage point in- crease in the immigrant share of the local population raises house price appreciation by approximately 7 percent and reduces the dispersion of housing return within a county by about 1.5 percentage points. We also show that such effects are strikingly heterogeneous across counties and appear to be deter- mined by local culture. Using several proxies for …


Regional Commercial Bank Lending To Small Businesses In The Wake Of The Great Recession, Boris D. Higgins Jan 2024

Regional Commercial Bank Lending To Small Businesses In The Wake Of The Great Recession, Boris D. Higgins

Hunt Institute Working Paper Series

The purpose of this paper is to document and explain the state by state variation in commercial bank lending to small businesses during the Great Recession. To accomplish this purpose will require several steps. These steps include showing the evidence of the variation in lending across states, the theoretical causes and the empirical findings of a capital supply gap based on market imperfections and employing OLS estimation method on carefully selected economic variables. The empirical results indicate that economic conditions, borrower characteristics and lender characteristics influence lending variation where these results can help in policy formulation.


Assessing The Impact Of Informal Sector Employment On Young Less-Educated Workers, Javier Cano-Urbina, John Gibson Jan 2024

Assessing The Impact Of Informal Sector Employment On Young Less-Educated Workers, Javier Cano-Urbina, John Gibson

Hunt Institute Working Paper Series

In this paper, we develop a search and matching model that allows for two important channels through which participation in the informal sector may benefit young less- educated workers: (i) human capital accumulation, and (ii) employer screening. We calibrate our model using the ENOE, a Mexican household survey on income and labor dynamics. Using our calibrated model, we shed light on many unobservable characteristics of the Mexican labor market for young less-educated workers, most notably the di↵ering hiring standards for informal and formal jobs. Specifically, hiring standards for these workers are found to be substantially higher for formal versus informal …


Unleashing The Power Of Chatgpt In Finance Research: Opportunities And Challenges, Zifeng Feng, Gangqing Hu, Bingxin Li Jan 2024

Unleashing The Power Of Chatgpt In Finance Research: Opportunities And Challenges, Zifeng Feng, Gangqing Hu, Bingxin Li

Hunt Institute Working Paper Series

Natural language processing (NLP) technologies, such as ChatGPT, are revolutionizing various fields, including finance research. This article explores the multifaceted potential of ChatGPT as a transformative tool for finance researchers, highlighting the benefits, challenges, and novel insights it can offer to facilitate the research. We demonstrate applications in coding support, theoretical derivation, research idea assistance, and professional editing. A comparison of ChatGPT-3.5, ChatGPT-4, and Microsoft Bing reveals unique features and applicability. By discussing pitfalls and ethical concerns, we encourage responsible AI adoption and a comprehensive understanding of advanced NLP’s impact on finance research and practice.


Entrepreneurial Orientation And Organizational Performance: Exploring Moderated Curvilinear Relationships, Gang Fan, Mengge Li, Derrick E. D’Souza Jan 2024

Entrepreneurial Orientation And Organizational Performance: Exploring Moderated Curvilinear Relationships, Gang Fan, Mengge Li, Derrick E. D’Souza

Hunt Institute Working Paper Series

Empirical investigations of the EO–firm performance relationship have typically focused on small and medium-sized ventures and have relied on survey data. Will the shape of the relationship curve hold for firms that moved past the ‘ventures’ phase? Our study investigates a sample of 11,843 small, medium, and large publicly listed firms drawn from the COMPUSTAT database. We confirm the existence of a U-shaped EO-performance relationship, and our analysis offers new evidence on the role of EO in SMEs versus large firms. Contrary to conventional wisdom, our sample of SMEs displayed lower levels of EO than large firms, and large firms …