Treatment of body forces in boundary element design sensitivity analysis

The inclusion of body forces has received a good deal of attention in boundary element research. The consideration of such forces is essential in the desgin of high performance components such as fan and turbine disks in a gas turbine engine. Due to their critical performance requirements, optimal shapes are often desired for these components. The boundary element method (BEM) offers the possibility of being an efficient method for such iterative analysis as shape optimization. The implicit-differentiation of the boundary integral equations is performed to obtain the sensitivity equations. The body forces are accounted for by either the particular integrals for uniform body forces or by a surface integration for non-uniform body forces. The corresponding sensitivity equations for both these cases are presented. The validity of present formulations is established through a close agreement with exact analytical results

Escaping Saddle Points for Effective Generalization on Class-Imbalanced Data

Real-world datasets exhibit imbalances of varying types and degrees. Several techniques based on re-weighting and margin adjustment of loss are often used to enhance the performance of neural networks, particularly on minority classes. In this work, we analyze the class-imbalanced learning problem by examining the loss landscape of neural networks trained with re-weighting and margin-based techniques. Specifically, we examine the spectral density of Hessian of class-wise loss, through which we observe that the network weights converge to a saddle point in the loss landscapes of minority classes. Following this observation, we also find that optimization methods designed to escape from saddle points can be effectively used to improve generalization on minority classes. We further theoretically and empirically demonstrate that Sharpness-Aware Minimization (SAM), a recent technique that encourages convergence to a flat minima, can be effectively used to escape saddle points for minority classes. Using SAM results in a 6.2\% increase in accuracy on the minority classes over the state-of-the-art Vector Scaling Loss, leading to an overall average increase of 4\% across imbalanced datasets. The code is available at: https://github.com/val-iisc/Saddle-LongTail.Comment: NeurIPS 2022. Code: https://github.com/val-iisc/Saddle-LongTai

Evaluation of the anti-depressant potential of metformin in conditioned defeat model in golden Syrian hamsters

Background: Depression is a prevalent mood condition that has an impact on daily functioning. Globally, depression affects 264 million people. The current pharmacotherapy of depression has a lot of shortcomings. Therefore, there is a need to explore newer therapy that alleviate the symptoms of depression. Metformin was found to possess antioxidant potential and hypothesized to decrease the levels of branched-chain amino-acids essential for tryptophan uptake (precursor for serotonin synthesis). The study was designed to validate the efficacy of metformin as an anti-depressant in conditioned defeat model in male golden Syrian hamsters using open field test (OFT), forced swim test (FST) and Serum serotonin levels. Methods: After obtaining IAEC approval, the study was carried out using 8 golden Syrian hamsters each that were randomly assigned to four groups. The disease control group received 1mL normal saline, positive control was given fluoxetine 12 mg/kg, two groups of metformin 240 mg/kg given pre-insult and post-insult. The variables assessed on every third day included OFT and FST. Following the behavioral tests, serotonin-ELISA was done. To analyse the outcomes, appropriate statistical tests were applied. Results: On standardization, the model was established to a 16-day model. Further, results highlighted a significant difference in OFT, FST and serotonin levels with the metformin group and fluoxetine compared to disease control (p<0.001). However, no significant difference was observed between the fluoxetine and metformin groups (p>0.05), signifying the comparable results. Conclusions: Metformin (240 mg/kg) alleviated the depressive symptoms by modulating both behavioral and serotonin levels

Rational Organizational Structure: For Brick-and-Mortar Lifestyle Retailers in India to Overcome Diseconomies of Scale and Protect Firm’s Sustainability (ROLS-b)

A majority of organized brick-and-mortar lifestyle retailers in India believe that the brick-and-mortar retailing model ensures economies of scale as they keep opening new stores. Having more stores might help retailers to gain product sourcing advantages in addition to generating additional revenue to the firm but at the same time, it fails to provide any other benefits towards economies of scale as every new store comes with new one-time capital expenditures and recurring fixed expenses. Another misconception is that lifestyle retailing must follow an organizational structure (OS) that is adopted by their parent company and hence a majority of OS adopted by lifestyle retailers in India is dependent on organizational form. This study was not limited to just recommending a rational OS based on exploratory research and existing theories in the OS domain. Once the ROLS-b was designed, we have experimented with the proposed rational OS on one of the ten lifestyle retailers in the study to test the validity and reliability. Experimentation results empirically and qualitatively demonstrate that the existing belief of brick-and-mortar lifestyle retailers in India which assumes economies of scale and long-term firm’s sustainability as the retailer increases the store count is just a misconception and does not hold. On the other hand, when we experimented the ROLS-b for over twelve months at over 25 percent stores of a select retailer, results demonstrate that these stores which have gone through the treatment have shown 5.34 times improvement in the store-level profit and 1.97 times in the firm-level profit in addition to eliminating a majority of gaps found in the existing OS that was leading to diseconomies of scale and deteriorating firm’s performance

Artificial Intelligence-Based Consumer Communication by Brick-and-Mortar Retailers in India Leading to Syllogistic Fallacy and Trap – Insights from an Experiment

It is observed that a majority of organized brick-and-mortar (B&M) retailers in India believe that they have adopted the latest Artificial Intelligence-based consumer communication (AIBCC) tools/solutions and are yielding accurate outputs that can be used for interpretation, conclusion, and decision-making concerning consumer communications. This belief/assumption in itself is a classic example of a syllogistic trap. This study reveals that the B&M retailers in India are least worried about AIBCC tools/solutions repeatedly sending promotional/campaign messages to consumers based on their past transactional data till they come back again to the store without knowing the ‘Purpose of Previous Purchase’. This is mere because the cost of such communications is negligible (Just costs about 1 US dollar for sending 500 messages to a mobile phone number). We have also observed that the B&M retailers are unaware of the potential negative impacts of false/fake/artificial promotional/campaign messages being sent to consumers as a result of syllogistic fallacy caused by the AIBCC tools/solutions on the overall brand image in the consumers’ minds. Experimentation results demonstrate that the existing belief of the organized B&M retailers in India which assumes that the AIBCC tools/solutions are accurate is just a misconception and does not hold. On the other hand, when we experimented by identifying two main gaps (input and output-level) in their existing AIBCC tool/solution for six months at over 35 percent stores of a select retailer, the real treatment effect indicated that the experimental group of stores has shown (i) two times higher rate of conversion to any promotional/campaign messages; (ii) 19 times better in capturing the ‘Purpose of Purchase’ field; (iii) 22% lesser consumer communication expenses; (iv) 22.80% higher revenue generation; and most importantly; (v) 4.25 times higher store-level profits in comparison with the control group of stores. We have also noted that in the control group of stores about 36% of the customers/consumers who have received the promotional/campaign messages from the automated AIBCC tool/solution were not real consumers. Besides finding evidence of the syllogistic fallacy and trap, our results are also consistent with our ‘Theory of B&M Retailing in India and the concept of ‘Debiasing by Instruction’ by Evans et al

Consumer Communication Deployment Tactics: An Integrated Framework for Lifestyle Brands and Retailers in India (CCF-LS).

Though consumer communication and orientation is a collective responsibility of all the departments/functions across the organization, a majority of lifestyle brands and retailers in India believe that the consumer communication is the deliverable of a single department/function that is widely and erroneously tagged as Marketing Department. This belief is distracting them from understanding the long-term positive impact on consumer patronage and they continue to use high-cost advertisements as one of the major tactics for consumer communication. A single theory, model and framework of consumer behavior from the existing literature available across perspectives, paradigms, and areas of study (Economics, Behavioral Economics, Psychology, Social Psychology, Anthropology, Marketing and so on) is not entirely applicable that could be adopted to suit lifestyle brands/retailers in India and designing a framework without empirical pieces of evidence is also not appropriate. In this study, i) we have studied over 28 consumer behavior theories, models and frameworks; ii) analyzed 24 months’ of actual data of a few select organized lifestyle brands and retailers in India; iii) borrowed experimental findings and insights from previous studies relevant in this context, to identify 50 factors influencing the outcomes of each stage of the consumer decision-making process and selected a few of them that have indicated the high scope of influencing capability by a lifestyle brand/retailer to design an economical and effective framework that is useful in designing consumer communication deployment tactics by a lifestyle brand or retailer in India. The framework is named as CCF-LS

Theory of Brick-and-Mortar Retailing in India (ToR-b)

Brick-and-mortar (B&M) retailers in India are constantly devoting their time, effort, energy, and money in discovering and adopting retailing theories, models, and frameworks that are practiced by the B&M retailers in the developed countries that have matured markets and consumers. This is a clear example of a serious timing issue. We believe the Indian market and consumers are moving towards the same maturity levels, but it is still a long way to go as the Indian consumers belong to the widest variety of religions, regions, languages, cultures, sub-cultures, ethnicities, and socioeconomic backgrounds with divergent needs. In addition to expecting world-class overall store-image, they yet require retailers to facilitate honest and authentic human-led engagement. This means, thoughtful and logical integration of existing theories aligned to, the Indian market; consumer's maturity level; divergent consumer needs is crucial, and this is the core of our theory. The ToR-b adopts elements of retailing theories that are known and suitable for retailing in the Indian context, in addition to identifying i) new elements influencing honest and authentic human-led engagement; higher consumer-level customization; higher levels of consumer-orientation, ii) significance of their association and determination with return on investment, iii) their role in influencing the long-term sustainability of a retailer, and most importantly iv) their ability to enhance interest among existing and potential employees, investors, and consumer’s minds with a particular retailer. Insights from multiple empirical and qualitative studies, field experiments, and evaluation of consumer-level transactions involved in building this theory made us strongly believe that the overall phenomenon of B&M retailing in India is truly complex and complexity is necessary to an adequate description of a phenomenon. We hope that in addition to laying a foundation for new directions to guide future research on Indian retailing, our theory will provide new and noteworthy insights into the overall phenomenon of B&M retailing in India

Exclusive Brand Outlet Expansion Framework for Lifestyle Brands in India (EBOE-LS)

Though EBOs’ (Exclusive Brand Outlet) risk-mitigation is a collective responsibility of lifestyle brand and the expansion partner (franchisee), a majority of lifestyle brands in India believe that the risk of capital investment/recurring expenses of EBOs and profit generated by EBOs has to be owned by the expansion partner. This belief and unbalanced business strategy of lifestyle brands though attract franchisees in the early stages of EBO expansion due to the brand’s reputation in the market or initial lucrative contract terms, it seriously fails to bring any long-term strategic and competitive advantages to the lifestyle brand as the drop-out rate of expansion partners increase significantly after one year of operation. This belief is also distracting lifestyle brands from understanding the long-term positive impact of EBO expansion frameworks that could balance the risk-mitigation and profits between the brand and the expansion partner. A single theory, model and framework of ‘Firm-Contracts’ and ‘Distribution Systems’ from the existing literature available across perspectives, paradigms, and areas of study (Economics, Business Law, Market Penetration, Business Strategy, Marketing and so on) is not entirely applicable that could be adopted to suit lifestyle brand’s EBO expansion plan in India and designing a framework without empirical pieces of evidence is also not appropriate. In this study, i) we have studied existing theories, models and frameworks relevant to market penetration and expansion; ii) analyzed 24 months’ of actual EBO data of a few select organized lifestyle brands in India across their existing expansion models; iii) borrowed experimental findings and insights from previous studies relevant in this context, to identify key decision and investment-making areas that could result in a balanced business contract between a lifestyle brand and the expansion partner thereby designing an economical/effective framework that would be useful in deployment of appropriate tactics of deciding a right EBO type for every City Type and the Store Location by a lifestyle brand in India. The framework is named as EBOE-LS